Publications and Citations


  1. Publication metrics: Publications, Journal Impact Factor & Rank and Citations
  2. Objectives, Research Interests and Areas with Published Work
  3. Ten Selected Publications by Subject
  4. List of Publications
    1. Books (B)
    2. International Refereed Journals (J)
    3. Invited and Refereed Book Chapters (Ch)
    4. Refereed Book Chapters and Edited Volumes (V)
    5. Refereed Conference Proceedings (C)
    6. Other Scholarly Publications (O)
  5. Links and Copyright Notice


A. Publication metrics: Publications, Journal Impact Factor & Rank and Citations


     (a)   Publications:        

The corpus of his work consists of:  

     (b)   Impact Factor:

According to the “2021 Journal Citation Reports (Clarivate Analytics, 2022)” the number of his publications with 2021 Journal Impact Factor is 134, with the highest impact factor being 16.497 (IEEE T EVOLUT COMPUT). The accumulated impact factor of the published journal papers is 472.525 and the average impact factor is 3.526. Also, according to “2021 SJR–SCImago Journal & Country Rank” these 134 journal publications are classified as follows:  Q1: 79Q2: 42Q3: 9  and  Q4: 4.   [Source: (Scimagojr.com)].

     (c)   Citations:

(i)  According to Google Scholar his work has been cited 18275 times. Also, 43 of his publications have received more than 100 citations each (i100–index=43). His highest–cited paper has been cited 2036 times, while his h–index is 60, his g–index is 127 and his i10–index is 213,   [Sources: (Google Scholar), (PoP)].

(ii)  His contribution has been recognized and cited from both mathematics and computational intelligence scientists. For example:

  • One of his papers was awarded with the 2017 “N.K. Artemiadis award” of the Academy of Athens, Greece, for the best scientific paper in the last three years (2014-2016) in the field of “Mathematical Analysis” authored by Greek researchers working in Greece or abroad, [Excerpt from the report read at the official ceremony of the Academy of Athens, Greece].
  • One of his theorems was named “Vrahatis generalization theorem” in the following paper by Prof. Dr. Jan Mayer: “A generalized theorem of Miranda and the theorem of Newton–Kantorovich”, [Numerical Functional Analysis and Optimization, 23(3–4) (2002) 333–357].
  • One of his theorems was cited in the title of the following paper by Prof. Dr. Gerhard Heindl: “Generalizations of theorems of Rohn and Vrahatis”, [Reliable Computing 21 (2016) 109–116].
  • One of his theorems was named “Miranda-Vrahatis theorem” in the following paper by Dr. Balázs Bánhelyi, Prof. Dr. Tibor Csendes and Prof. Dr. László Hatvani: “On the existence and stabilization of an upper unstable limit cycle of the damped forced pendulum”, [Journal of Computational and Applied Mathematics 371 (2020) 112702].
  • One of his theorems was named “generalization of the intermediate value theorem for simplices” in the following paper by the Nobel Laureate in Economic Sciences in 2020 Paul R. Milgrom and Joshua Mollner: “Equilibrium selection in auctions and high stakes games”, [Econometrica 86(1) (2018) 219–261].
  • His top five most cited publications on computational intelligence have been cited more than 5600 times according to Google Scholar.

(iii)  His work has been cited in documents related to the following 250 international patents [for the corresponding numbers of the patents see (PDF), Last Update: December 15, 2018]:

  • Canadian patents:  7  
  • Chinese patents:  47  
  • European patents:  23  
  • French patents:  5  
  • Japanese patents:  7  
  • Korean patents:  8  
  • United States patents:  121  
  • World Intellectual Property Organization (WIPO) patents:  32  




B. Objectives, Research Interests and Areas with Published Work

  1. Objectives: His main objectives are as follows:
    1. The investigation and mathematical foundation of methods in computational intelligence and natural computing.
    2. The development of innovative methods in these fields.
    3. The application of the acquired expertise to address challenging real-life problems in different branches of science and the search of directions of theoretical mathematical results towards applications.
    4. The dissemination of knowledge to young researchers and scientists.

  2. Research Interests: His current research interests focus on the following thematic areas:
    1. Numerical Mathematics.
    2. Natural Computing and Computational Intelligence.
    3. Global Optimization.
    4. Reliable Computing and Imprecise Data.
    5. Artificial Neural Networks and Machine Learning.
    Specifically, his current research interests include:
    1. Computational Mathematics and Computational Intelligence.
    2. Swarm Intelligence and Evolutionary Algorithms.
    3. Nature-Inspired and Quantum Computing.
    4. Global Optimization and Neural Networks Training.
    5. Reliable Computing and Neural Analysis.
    6. Semi-supervised Methods in Computational Intelligence and Mathematical Modeling.
    7. Unsupervised and Intelligent Clustering.
    8. Computational Intelligence Methods in Time Series Analysis and Forecasting.
    9. Computational and Intelligent Cryptography.
    10. Nonlinear Dynamics and Biomedical Informatics.

  3. Areas with Published Work: His published work extends to various fields of the Mathematical Science, Informatics and Applications and focuses mainly on Computational Mathematics and Computational Intelligence. Specifically, his published work can be classified and categorized into the following thematic sections and fields based on the 2010 Mathematical Subject Classification — MSC-2010 of the American Mathematical Society — AMS. The MSC constitutes an international reference for the uniform categorization and classification of disciplines and specialties of the Mathematical Science. Details of the MSC can be found at  www.msc2010.org  or  www.ams.org/msc/msc2010.html  and  zbmath.org/classification.
    1. Computational Mathematics, Topological Degree Theory and Nonlinear Equations
      [MSC-2010: 65H10; 55M20; 55M25; 54H25; 12D10; 26C10; 65H05; 65Y20; 68Q25]

    2. Computational Intelligence, Swarm Intelligence and Nature Inspired Computational Methods
      [MSC-2010: 68T20; 68W20; 92B05; 92D25; 90C26; 90C29; 90C47; 90C66]

    3. Mathematical, Global and Intelligent Optimization
      [MSC-2010: 65K05; 90C30; 65C35; 68T20; 68T05; 90C59; 90C56; 90C15]

    4. Fixed Point Theory, Nonlinear Dynamics and Complex Systems
      [MSC-2010: 58C30; 37C25; 65L07; 37J10; 37J45; 28A80; 37C27; 34C25]

    5. Artificial Neural Networks Training
      [MSC-2010: 92B20; 82C32; 68T05; 68Q32; 68T20; 90C90; 90C30; 90C59]

    6. Neural, Evolutionary and Differential Evolutionary Computing
      [MSC-2010: 92B20; 82C32; 68T05; 90C59; 68T10; 65C35; 68T20; 93E35]

    7. Unsupervised, Semi-supervised and Intelligent Clustering and Classification
      [MSC-2010: 62H30; 91C20; 68P15; 65C60; 65C35; 68T20; 68T05; 90C59]

    8. Computational and Intelligent Cryptography and Cryptanalysis
      [MSC-2010: 94A60; 68P25; 12Y05; 14G50; 65D05; 65C35; 68T20; 68T05]

    9. Biomedical Informatics
      [MSC-2010: 92C50; 92C55; 62P10; 92B20; 92D20; 82C32; 68T05; 65C35]

    10. Interval Analysis, Reliable Computing in Computational Intelligence—Reliable Intelligence
      [MSC-2010: 65G40; 65G20; 92B20; 82C32; 68T05; 68Q32; 68T20; 68T05]

    11. Evolutionary and Intelligent Music
      [MSC-2010: 97M80; 68T10; 00A65; 65C35; 68T20; 68T30; 68T05; 97R40]


C. Ten Selected Publications by Subject (in reverse chronological order)

  1. Topological Degree and Nonlinear Equations     [MSC-2010: 65H10; 55M20; 55M25; 54H25; 12D10; 26C10; 65H05; 65Y20; 68Q25]

    J149.   Vrahatis M.N., Intermediate value theorem for simplices for simplicial approximation of fixed points and zeros, Topology and its Applications, 275, 107036. 2020.   (PDF)
    J140.   Vrahatis M.N., Generalization of the Bolzano theorem for simplices, Topology and its Applications, 202, pp.40-46, 2016.   (PDF)
    J102.   Tanabé S., Vrahatis M.N., On perturbation of roots of homogeneous algebraic systems, Mathematics of Computation, 75(255), pp.1383-1402, 2006.  (PDF)
      J83. Kavvadias D.J., Makri F.S., Vrahatis M.N., Efficiently computing many roots of a function, SIAM Journal on Scientific Computing, 27(1), pp.93-107, 2005.  (PDF)
      J59. Mourrain B., Vrahatis M.N., Yakoubsohn J.C., On the complexity of isolating real roots and computing with certainty the topological degree, Journal of Complexity, 18(2), pp.612-640, 2002.  (PDF)
      J37. Kavvadias D.J., Makri F.S., Vrahatis M.N., Locating and computing arbitrarily distributed zeros, SIAM Journal on Scientific Computing, 21(3), pp.954-969, 1999.  (PDF)
      J21. Kavvadias D.J., Vrahatis M.N., Locating and computing all the simple roots and extrema of a function, SIAM Journal on Scientific Computing, 17(5), pp.1232-1248, 1996.  (PDF)
       J7.  Vrahatis M.N., A short proof and a generalization of Miranda's existence theorem, Proceedings of the American Mathematical Society, 107(3), pp.701-703, 1989.  (PDF)
       J3.  Vrahatis M.N., Solving systems of nonlinear equations using the nonzero value of the topological degree, ACM Transactions on Mathematical Software, 14(4), pp.312-329, 1988.  (PDF)
       J2.  Vrahatis M.N., Iordanidis K.I., A rapid generalized method of bisection for solving systems of nonlinear equations, Numerische Mathematik, 49(2-3), pp.123-138, 1986.  (PDF)

  2. Nonlinear Dynamics and Complex Systems     [MSC-2010: 37C25; 65L07; 37J10; 37J45; 28A80; 37C27; 34C25]

    J127.   Epitropakis M.G., Vrahatis M.N., Studying the basin of convergence of methods for computing periodic orbits, International Journal of Bifurcation and Chaos, 21(8), pp.2079-2106, 2011.  (PDF)
    J122. Alevizos P.D., Vrahatis M.N., Optimal dynamic box-counting algorithm, International Journal of Bifurcation and Chaos, 20(12), pp.4067-4077, 2010.  (PDF)
    J119. Petalas Y.G., Antonopoulos C.G., Bountis T.C., Vrahatis M.N., Detecting resonances in conservative maps using evolutionary algorithms, Physics Letters A, 373(3), pp.334-341, 2009.  (PDF)
      J90. Skokos Ch., Parsopoulos K.E., Patsis P.A., Vrahatis M.N., Particle swarm optimization: An efficient method for tracing periodic orbits in three-dimensional galactic potentials, Monthly Notices of the Royal Astronomical Society, 359(1), pp.251-260, 2005.  (PDF)
      J80. Skokos Ch., Antonopoulos Ch., Bountis T.C., Vrahatis M.N., Detecting order and chaos in Hamiltonian systems by the SALI method, Journal of Physics A, 37(24), pp.6269-6284, 2004.  (PDF)
      J70. Polymilis C., Servizi G., Skokos Ch., Turchetti G., Vrahatis M.N., Topological degree theory and local analysis of area preserving maps, Chaos, 13(1), pp.94-104, 2003.  (PDF)
      J56. Bergamin J.M., Bountis T., Vrahatis M.N., Homoclinic orbits of invertible maps, Nonlinearity, 15(5), pp.1603-1619, 2002.  (PDF)
      J33. Vrahatis M.N., Isliker H., Bountis T.C., Structure and breakdown of invariant tori in a 4-D mapping model of accelerator dynamics, International Journal of Bifurcation and Chaos, 7(12), pp.2707-2722, 1997.  (PDF)
      J19. Drossos L., Ragos O., Vrahatis M.N., Bountis T.C., Method for computing long periodic orbits of dynamical systems, Physical Review E, 53(1), pp.1206-1211, 1996.  (PDF)
      J15. Vrahatis M.N., An efficient method for locating and computing periodic orbits of nonlinear mappings, Journal of Computational Physics, 119, pp.105-119, 1995.  (PDF)

  3. Numerical and Intelligent Optimization     [MSC-2010: 65K05; 90C30; 65C35; 68T20; 68T05; 90C59; 90C56; 90C15]

     J128.   Epitropakis M.G., Plagianakos V.P., Vrahatis M.N., Evolving cognitive and social experience in particle swarm optimization through differential evolution: A hybrid approach, Information Sciences, 216, pp.50-92, 2012.  (PDF)
     J126. Epitropakis M.G., Tasoulis D.K., Pavlidis N.G., Plagianakos V.P., Vrahatis M.N., Enhancing differential evolution utilizing proximity-based mutation operators, IEEE Transactions on Evolutionary Computation, 15(1), pp.99-119, 2011.  (PDF)
    Ch14. Plagianakos V.P., Tasoulis D.K., Vrahatis M.N., A review of major application areas of differential evolution, Advances in Differential Evolution, U.K. Chakraborty (ed.), Chapter 8, pp.197-238, Springer (Studies in Computational Intelligence series, vol.143), Berlin/Heidelberg, Germany, September 2008 [ISBN: 978-3-540-68827-3].  (PDF)
     J111. Petalas Y.G., Parsopoulos K.E., Vrahatis M.N., Memetic particle swarm optimization, Annals of Operations Research, 156(1), pp.99-127, 2007.  (PDF)
       J79. Parsopoulos K.E., Vrahatis M.N., On the computation of all global minimizers through particle swarm optimization, IEEE Transactions on Evolutionary Computation, 8(3), pp.211-224, 2004.  (PDF)
       J68. Laskari E.C., Parsopoulos K.E., Vrahatis M.N., Utilizing evolutionary operators in global optimization with dynamic search trajectories, Numerical Algorithms, 34(2-4), pp.393-403, 2003.  (PDF)
       J60. Parsopoulos K.E., Vrahatis M.N., Recent approaches to global optimization problems through particle swarm optimization, Natural Computing, 1(2-3), pp.235-306, 2002.  (PDF)
       J41. Vrahatis M.N., Androulakis G.S., Lambrinos J.N., Magoulas G.D., A class of gradient unconstrained minimization algorithms with adaptive stepsize, Journal of Computational and Applied Mathematics, 114(2), pp.367-386, 2000.  (PDF)
       J25. Vrahatis M.N., Triantafyllou E.C., Locating, characterizing and computing the stationary points of a function, Reliable Computing, 2(2), pp.187-193, 1996.  (PDF)
       J22. Vrahatis M.N., Androulakis G.S., Manoussakis G.E., A new unconstrained optimization method for imprecise function and gradient values, Journal of Mathematical Analysis and Applications, 197(2), pp.586-607, 1996.  (PDF)

  4. Unsupervised and Intelligent Clustering     [MSC-2010: 62H30; 91C20; 68P15; 65C60; 65C35; 68T20; 68T05; 90C59]

     J145. Ikonomakis E.K., Spyrou G.M., Vrahatis M.N., Content driven clustering algorithm combining density and distance functions, Pattern Recognition, 87, pp.190-202, 2019.  (PDF)
      V56.   Antzoulatos G.S., Vrahatis M.N., α-Clusterable sets, Lecture Notes in Computer Science (LNAI), vol.6911, pp.108-123, Springer, 2011.  (PDF)
     J112. Tasoulis D.K., Vrahatis M.N., Generalizing the k-windows clustering algorithm in metric spaces, Mathematical and Computer Modelling, 46(1-2), pp.268-277, 2007.  (PDF)
     J105. Tasoulis D.K., Vrahatis M.N., Unsupervised clustering using fractal dimension, International Journal of Bifurcation and Chaos, 16(7), pp.2073-2079, 2006.  (PDF)
      V49. Tasoulis D.K., Zeimpekis D., Gallopoulos E., Vrahatis M.N., Oriented k-windows: A PCA driven clustering method, Advances in Web Intelligence and Data Mining, M. Last, P.S. Szczepaniak, Z. Volkovich and A. Kandel (eds.), Chapter 32, pp.319-328, Springer (Studies in Computational Intelligence series, vol.23), Berlin/Heidelberg, Germany, 2006 [ISBN: 978-3-540-33879-6].  (PDF)
      V47. Tasoulis D.K., Laskari E.C., Meletiou G.C., Vrahatis M.N., Privacy preserving unsupervised clustering over vertically partitioned data, Lecture Notes in Computer Science (LNCS), vol.3984, pp.635-643, Springer, 2006.  (PDF)
      Ch9. Tasoulis D.K., Vrahatis M.N., Novel approaches to unsupervised clustering through k-windows algorithm, Knowledge Mining, S. Sirmakessis (ed.), Chapter 5, pp.51-77, Springer (Studies in Fuzziness and Soft Computing series, vol.185), Berlin/Heidelberg, Germany, 2005 [ISBN: 978-3-540-25070-8].  (PDF)
       J91. Tasoulis D.K., Vrahatis M.N., Unsupervised clustering on dynamic databases, Pattern Recognition Letters, 26(13), pp.2116-2127, 2005.  (PDF)
      V33. Alevizos P., Tasoulis D.K., Vrahatis M.N., Parallelizing the unsupervised k-windows clustering algorithm, Lecture Notes in Computer Science (LNCS), vol.3019, pp.225-232, Springer, April 2004.  (PDF)
      J65. Vrahatis M.N., Boutsinas B., Alevizos P., Pavlides G., The new k-windows algorithm for improving the k-means clustering algorithm, Journal of Complexity, 18(1), pp.375-391, 2002.  (PDF)

  5. Computational and Intelligent Cryptography     [MSC-2010: 94A60; 68P25; 12Y05; 14G50; 65D05; 65C35; 68T20; 68T05]

    J117.   Laskari E.C., Meletiou G.C., Vrahatis M.N., Aitken and Neville inverse interpolation methods for the Lucas logarithm problem, Applied Mathematics and Computation, 209(1), pp.52-56, 2009.  (PDF)
    J108. Laskari E.C., Meletiou G.C., Stamatiou Y.C., Vrahatis M.N., Applying evolutionary computation methods for the cryptanalysis of Feistel ciphers, Applied Mathematics and Computation, 184(1), pp.63-72, 2007.  (PDF)
    J107. Laskari E.C., Meletiou G.C., Stamatiou Y.C., Tasoulis D.K., Vrahatis M.N., Assessing the effectiveness of artificial neural networks on problems related to elliptic curve cryptography, Mathematical and Computer Modelling, 46(1-2), pp.174-179, 2007.  (PDF)
    Ch11. Laskari E.C., Meletiou G.C., Stamatiou Y.C., Vrahatis M.N., Cryptography and cryptanalysis through computational intelligence, Computational Intelligence in Information Assurance and Security, N. Nedjah, A. Abraham and L. de Macedo Mourelle (eds.), Chapter 1, pp.1-49, Springer (Studies in Computational Intelligence series, vol.57), Berlin/Heidelberg, Germany, May 2007 [ISBN: 978-3-540-71077-6].  (PDF)
    C132. Laskari E.C., Meletiou G.C., Vrahatis M.N., Utilizing evolutionary computation methods for the design of S-boxes, Proceedings of the IEEE International Conference on Computational Intelligence and Security (CIS 2006), November 3-6, 2006, Guangzhou, China, vol.2, art.no.4076173, pp.1299-1302, IEEE 2006 [ISBN: 1-4244-0605-6].  (PDF)
      J95. Laskari E.C., Meletiou G.C., Tasoulis D.K., Vrahatis M.N., Studying the performance of artificial neural networks on problems related to cryptography, Nonlinear Analysis–Real World Applications, 7(5), pp.937-942, 2006.  (PDF)
      J87. Laskari E.C., Meletiou G.C., Vrahatis M.N., Aitken and Neville inverse interpolation methods over finite fields, Applied Numerical Analysis and Computational Mathematics, 2(1), pp.100-107, 2005.  (PDF)
      J86. Laskari E.C., Meletiou G.C., Vrahatis M.N., Problems of cryptography as discrete optimization tasks, Nonlinear Analysis–Theory, Methods & Applications, 63(5-7), pp.e831-e837, 2005.  (PDF)
      J85. Laskari E.C., Meletiou G.C., Tasoulis D.K., Vrahatis M.N., Privacy preserving electronic data gathering, Mathematical and Computer Modelling, 42(7-8), pp.739-746, 2005.  (PDF)
      J84. Laskari E.C., Meletiou G.C., Stamatiou Y.C., Vrahatis M.N., Evolutionary computation based cryptanalysis: A first study, Nonlinear Analysis–Theory, Methods & Applications, 63(5-7), pp.e823-e830, 2005.  (PDF)

  6. Evolutionary and Intelligent Music     [MSC-2010: 97M80; 68T10; 00A65; 65C35; 68T20; 68T05]

     J133.   Kaliakatsos-Papakostas M.A., Epitropakis M.G., Floros A., Vrahatis M.N., Chaos and music: From time series analysis to evolutionary composition, International Journal of Bifurcation and Chaos, 23(11), pp.1350181-1—1350181-19, 2013.  (PDF)
     J131.  Kaliakatsos-Papakostas M.A., Floros A., Vrahatis M.N., A clustering strategy for the key segmentation of musical audio, Computer Music Journal, 37(1), pp.52-69, 2013.  (PDF)
    Ch17. Kaliakatsos-Papakostas M.A., Floros A., Vrahatis M.N., Intelligent music composition, Swarm Intelligence and Bioinspired Computation: Theory and Applications, X.-S. Yang, Z.-H. Cui, R.-B. Xiao, A.H. Gandomi and M. Karamanoglu (eds.), Chapter 10, pp.239-256, Elsevier, London, UK, May 2013 [ISBN: 978-0-12-405163-8].  (PDF)
      V63. Kaliakatsos-Papakostas M.A., Floros A., Vrahatis M.N., evoDrummer: Deriving rhythmic patterns through interactive genetic algorithms, Lecture Notes in Computer Science (LNCS), vol.7834, pp.25-36, Springer, 2013.  (PDF)
    C158. Kaliakatsos-Papakostas M.A., Floros A., Kanellopoulos N., Vrahatis M.N., Genetic evolution of L and FL-systems for the production of rhythmic sequences, Proceedings of the Genetic and Evolutionary Computation Conference (GECCO 2012), July 7-11, 2012, Philadelphia, PA, USA, pp.461-468, ACM 2012.  (PDF)
    J129. Kaliakatsos-Papakostas M.A., Epitropakis M.G., Floros A., Vrahatis M.N., Controlling interactive evolution of 8-bit melodies with genetic programming, Soft Computing, 16(12), pp.1997-2008, 2012.  (PDF)
     V61. Kaliakatsos-Papakostas M.A., Epitropakis M.G., Floros A., Vrahatis M.N., Interactive evolution of 8-bit melodies with genetic programming towards finding aesthetic measures for sound, Lecture Notes in Computer Science (LNCS), vol.7247, pp.141-152, Springer, 2012.  (PDF)
     V58. Kaliakatsos-Papakostas M.A., Epitropakis M.G., Vrahatis M.N., Feature extraction using pitch class profile information entropy, Lecture Notes in Computer Science (LNAI), vol.6726, pp.354-357, Springer, 2011.  (PDF)
     V57. Kaliakatsos-Papakostas M.A., Epitropakis M.G., Vrahatis M.N., Weighted Markov chain model for musical composer identification, Lecture Notes in Computer Science (LNCS), vol.6625, pp.334-343, Springer, 2011.  (PDF)
     V55. Kaliakatsos-Papakostas M.A., Epitropakis M.G., Vrahatis M.N., Musical composer identification through probabilistic and feedforward neural networks, Lecture Notes in Computer Science (LNCS), vol.6025, pp.411-420, Springer, 2010.  (PDF)

  7. Neural Networks Training     [MSC-2010: 92B20; 82C32; 68T05; 68Q32; 68T20; 90C90; 90C30; 90C59]

    J123.    Epitropakis M.G., Plagianakos V.P., Vrahatis M.N., Hardware-friendly higher-order neural network training using distributed differential evolution, Applied Soft Computing, 10(2), pp.398-408, 2010.  (PDF)
    J113. Georgiou V.L., Alevizos Ph.D., Vrahatis M.N., Novel approaches to probabilistic neural networks through bagging and evolutionary estimating of prior probabilities, Neural Processing Letters, 27(2), pp.153-162, 2008.  (PDF)
      J96. Magoulas G.D., Vrahatis M.N., Adaptive algorithms for neural network supervised learning: A deterministic optimization approach, International Journal of Bifurcation and Chaos, 16(7), pp.1929-1950, 2006.  (PDF)
      J92. Anastasiadis A.D., Magoulas G.D., Vrahatis M.N., Improved sign-based learning algorithm derived by the composite nonlinear Jacobi process, Journal of Computational and Applied Mathematics, 191(2), pp.166-178, 2006.  (PDF)
      J63. Plagianakos V.P., Magoulas G.D., Vrahatis M.N., Deterministic nonmonotone strategies for effective training of multilayer perceptrons, IEEE Transactions on Neural Networks, 13(6), pp.1268-1284, 2002.  (PDF)
      J58. Magoulas G.D., Plagianakos V.P., Vrahatis M.N., Globally convergent algorithms with local learning rates, IEEE Transactions on Neural Networks, 13(3), pp.774-779, 2002.  (PDF)
      J43. Boutsinas B., Vrahatis M.N., Artificial nonmonotonic neural networks, Artificial Intelligence, 132(1), pp.1-38, 2001.  (PDF)
      J42. Vrahatis M.N., Magoulas G.D., Plagianakos V.P., Globally convergent modification of the Quickprop method, Neural Processing Letters, 12(2), pp.159-169, 2000.  (PDF)
      J36. Magoulas G.D., Vrahatis M.N., Androulakis G.S., Improving the convergence of the backpropagation algorithm using learning rate adaptation methods, Neural Computation, 11(7), pp.1769-1796, 1999.  (PDF)
      J29. Magoulas G.D., Vrahatis M.N., Androulakis G.S., Effective backpropagation training with variable stepsize, Neural Networks, 10(1), pp.69-82, 1997.  (PDF)

  8. Neural and Evolutionary Computing     [MSC-2010: 92B20; 82C32; 68T05; 90C59; 68T10; 65C35; 68T20; 93E35]

    Ch16.    Epitropakis M.G., Plagianakos V.P., Vrahatis M.N., Evolutionary algorithm training of higher order neural networks, Artificial Higher Order Neural Networks for Computer Science and Engineering: Trends for Emerging Applications, M. Zhang (ed.), Chapter 3, pp.57-85, IGI Global, Hershey, PA, USA, 2010 [ISBN: 978-1-61520-711-4].  (PDF)
    J120. Petalas Y.G., Parsopoulos K.E., Vrahatis M.N., Improving fuzzy cognitive maps learning through memetic particle swarm optimization, Soft Computing, 13(1), pp.77-94, 2009.  (PDF)
    Ch13. Parsopoulos K.E., Vrahatis M.N., Multi-objective particle swarm optimization approaches, Multi-objective Optimization in Computational Intelligence: Theory and Practice, L.T. Bui and S. Alam (eds.), Chapter 2, pp.20-42, IGI Global, Hershey, PA, USA, April 2008 [ISBN-10: 1599044986, ISBN-13: 978-1-59904-498-9].  (PDF)
    Ch12. Ganchev T.D., Parsopoulos K.E., Vrahatis M.N., Facotakis N.D., Partially connected locally recurrent probabilistic neural networks, Recurrent Neural Networks, X.-L. Hu and P. Balasubramaniam (eds.), Chapter 18, pp.377-400, I-Tech, Vienna, Austria, September 2008 [ISBN: 978-953-7619-08-4].  (PDF)
    J109. Parsopoulos K.E., Vrahatis M.N., Parameter selection and adaptation in unified particle swarm optimization, Mathematical and Computer Modelling, 46(1-2), pp.198-213, 2007.  (PDF)
    J106. Ganchev T.D., Tasoulis D.K., Vrahatis M.N., Facotakis N.D., Generalized locally recurrent probabilistic neural networks with application to text-independent speaker verification, Neurocomputing, 70(7-9), pp.1424-1438, 2007.  (PDF)
    J101. Plagianakos V.P., Magoulas G.D., Vrahatis M.N., Evolutionary training of hardware realizable multilayer perceptrons, Neural Computing and Applications, 15(1), pp.33-40, 2006.  (PDF)
    C111. Pavlidis N.G., Tasoulis D.K., Plagianakos V.P., Nikiforidis G., Vrahatis M.N., Spiking neural network training using evolutionary algorithms, Proceedings of the IEEE International Joint Conference on Neural Networks (IJCNN 2005), July 31-August 4, 2005, Montréal, Québec, Canada, vol.4, art.no.1556240, pp.2190-2194, IEEE 2005 [ISBN: 0-7803-9048-2].  (PDF)
      J88. Papageorgiou E.I., Parsopoulos K.E., Stylios C.D., Groumpos P.P., Vrahatis M.N., Fuzzy cognitive maps learning using particle swarm optimization, Journal of Intelligent Information Systems, 25(1), pp.95-121, 2005.  (PDF)
      J78. Magoulas G.D., Plagianakos V.P., Vrahatis M.N., Neural network-based colonoscopic diagnosis using on-line learning and differential evolution, Applied Soft Computing, 4(4), pp.369-379, 2004.  (PDF)

  9. Biomedical Informatics     [MSC-2010: 92C50; 92C55; 62P10; 92B20; 92D20; 82C32; 68T05; 65C35]

    J118.     Parsopoulos K.E., Kariotou F., Dassios G., Vrahatis M.N., Tackling magnetoencephalography with particle swarm optimization, International Journal of Bio-Inspired Computation, 1(1/2), pp.32-49, 2009.  (PDF)
    Ch15. Tasoulis D.K., Plagianakos V.P., Vrahatis M.N., Computational intelligence algorithms and DNA microarrays, Computational Intelligence in Bioinformatics, A. Kelemen, A. Abraham and Y.-H. Chen (eds.), Chapter 1, pp.1-31, Springer (Studies in Computational Intelligence series, vol.94), Berlin/Heidelberg, Germany, February 2008 [ISBN: 978-3-540-76802-9].  (PDF)
     J104. Tasoulis D.K., Spyridonos P., Pavlidis N.G., Plagianakos V.P., Ravazoula P., Nikiforidis G., Vrahatis M.N., Cell-nuclear data reduction and prognostic model selection in bladder tumor recurrence, Artificial Intelligence in Medicine, 38(3), pp.291-303, 2006.  (PDF)
     J103. Tasoulis D.K., Plagianakos V.P., Vrahatis M.N., Unsupervised clustering in mRNA expression profiles, Computers in Biology and Medicine, 36(10), pp.1126-1142, 2006.  (PDF)
      V48. Tasoulis D.K., Plagianakos V.P., Vrahatis M.N., Differential evolution algorithms for finding predictive gene subsets in microarray data, IFIP International Federation for Information Processing, vol.204, Artificial Intelligence Applications and Innovations, I. Maglogiannis, K. Karpouzis and M. Bramer (eds.), pp.484-491, Springer, Boston, USA, August 2006 [ISBN: 978-0-387-34223-8].  (PDF)
     J100. Plagianakos V.P., Magoulas G.D., Vrahatis M.N., Distributed computing methodology for training neural networks in an image-guided diagnostic application, Computer Methods and Programs in Biomedicine, 81(3), pp.228-235, 2006.  (PDF)
      V40. Tasoulis D.K., Vladutu L., Plagianakos V.P., Bezerianos A., Vrahatis M.N., Online neural network training for automatic ischemia episode detection, Lecture Notes in Computer Science (LNAI), vol.3070, pp.1062-1068, Springer, May 2004.  (PDF)
      V36. Parsopoulos K.E., Papageorgiou E.I., Groumpos P.P., Vrahatis M.N., Evolutionary computation techniques for optimizing fuzzy cognitive maps in radiation therapy systems, Lecture Notes in Computer Science (LNCS), vol.3102, pp.402-413, Springer, May 2004.  (PDF)
      V32. Tasoulis D.K., Spyridonos P., Pavlidis N.G., Cavouras D., Ravazoula P., Nikiforidis G., Vrahatis M.N., Urinary bladder tumor grade diagnosis using on-line trained neural networks, Lecture Notes in Computer Science (LNAI), vol.2773, pp.199-206, Springer, October 2003.  (PDF)
      V21. Magoulas G.D., Plagianakos V.P., Vrahatis M.N., Improved neural network-based interpretation of colonoscopy images through on-line learning and evolution, Adaptive Systems and Hybrid Computational Intelligence in Medicine, G.D. Dounias and D.A. Linkens (eds.), pp.38-43, European Network of Excellence on Intelligent Technologies for Smart Adaptive Systems, Published by the University of the Aegean, Chios, Greece, 2001 [ISBN: 960-7475-19-4]; also in Proceedings of the European Symposium on Intelligent Technologies, Hybrid Systems and their Implementation on Smart Adaptive Systems (EUNITE 2001), December 13-14, 2001, Tenerife, Spain, pp.402-407, 2001. The paper at hand won the third prize award of the Medical and Health Care Committee at this European Symposium.  (PDF)


D. List of Publications

  1. Books (B)

    B17. Pardalos P.M., Rasskazova V., Vrahatis M.N. (eds.), Black Box Optimization, Machine Learning, and No-Free Lunch Theorems, Springer Optimization and Its Applications—Mathematics, vol.170, Springer Nature Switzerland AG, April 27, 2021, 480 pages [ISSN: 1931–6828, ISBN: 978–3–030–66514–2 (Hardcover), ISBN: 978–3–030–66515–9 (eBook)].
    B16.   Vrahatis M.N., Numerical Analysis – Transcendental Equations, in Greek, Klidarithmos Press, Athens, Greece, December 6, 2012, 704 pages [ISBN: 978-960-461-512-4].
    B15. Vrahatis M.N., Numerical Analysis – Ordinary Differential Equations, in Greek, Klidarithmos Press, Athens, Greece, April 19, 2012, 360 pages [ISBN: 978-960-461-475-2].
    B14. Akrivis G.D., Dougalis V.A., Hadjidimos A., Kotsireas I.S., Makridakis C., Noutsos D., Saridakis Y.G., Vrahatis M.N. (eds.), NumAn 2010 Book of Abstracts, September 2012, 66 pages.  (NumAn 2012)
    B13. Vrahatis M.N., Numerical Analysis – Introduction, in Greek, Klidarithmos Press, Athens, Greece, November 3, 2011, 656 pages [ISBN: 978-960-461-474-5].
    B12. Parsopoulos, K.E., Vrahatis M.N., Particle Swarm Optimization and Intelligence: Advances and Applications, Information Science Publishing (IGI Global), Hershey, PA, USA, January 2010, 328 pages [ISBN-10: 1615206663] [ISBN-13: 978-1-61520-666-7].  (WorldCat) (IGI Global) (Amazon)  (Book's Brochure)
    B11. Dougalis V.A., Gallopoulos E., Hadjidimos A., Kotsireas I.S., Noutsos D., Saridakis Y.G., Vrahatis M.N. (eds.), NumAn 2010 Book of Proceedings, September 2010, 288 pages [ISBN: 978–960–8475–14–4].  (NumAn 2010)  (Book of Abstracts)
    B10. Akrivis G.D., Gallopoulos E., Hadjidimos A., Kotsireas I.S., Noutsos D., Vrahatis M.N. (eds.), NumAn 2008 Book of Proceedings, September 2008, 209 pages.  (NumAn 2008)
      B9.  Gallopoulos E., Houstis E., Kotsireas I.S., Noutsos D., Vrahatis M.N. (eds.), NumAn 2007 Book of Proceedings, September 2007, 192 pages.  (NumAn 2007)  (PDF)
      B8.  Vrahatis M.N., Numerical Solution of Differential Equations, in Greek, Hellenic Open University, Patras, Greece, 2003, 400 pages.
      B7.  Vrahatis M.N., Numerical Analysis II, in Greek, Hellenic Open University, Patras, Greece, 2003, 320 pages.
      B6.  Vrahatis M.N., Numerical Analysis I, in Greek, Hellenic Open University, Patras, Greece, 2003, 378 pages.
      B5.  Vrahatis M.N., Papadakis S., Microcomputers, in Greek, Papasotiriou S.A., Athens, Greece, 1995, 687 pages [ISBN: 960-7510-19-4].
      B4.  Vrahatis M.N., Numerical Solution of Systems of Nonlinear Algebraic and Transcendental Equations, in Greek, University of Patras Press, Patras, Greece, 1993, 201 pages (out-of-print book).
      B3.  Vrahatis M.N., Grapsa T.N., Markakis G., Introduction to Computers, in Greek, University of Patras Press, Patras, Greece, 1992, 211 pages (out-of-print book).
      B2.  Vrahatis M.N., Papadakis S., Microcomputers, in Greek, University of Patras Press, Patras, Greece, 1991, 667 pages (out-of-print book).
      B1.  Vrahatis M.N., Numerical Solution of Ordinary Differential Equations, in Greek, University of Patras Press, Patras, Greece, 1990, 259 pages (out-of-print book).

  2. International Refereed Journals (J)

    J152.   Salamanis A.I., Gravvanis G.A., Kotsiantis S.B., Vrahatis M.N., Novel sparse feature regression method for traffic forecasting, International Journal on Artificial Intelligence Tools, 32(1), 2350008(1-27), 2023.
    J151.   Alexandropoulos S.-A.N., Aridas C.K., Kotsiantis S.B., Gravvanis G.A., Vrahatis M.N., Rotation forest of random subspace models, Intelligent Decision Technologies, 16(2), pp.315-324, 2022.
    J150.   Vrahatis M.N., Kontogiorgos P., Papavassilopoulos G.P., Particle swarm optimization for computing Nash and Stackelberg equilibria in energy markets, SN Operations Research Forum, 1(3), Article No. 20, pp.1-23, 2020.  (PDF)
    J149.   Vrahatis M.N., Intermediate value theorem for simplices for simplicial approximation of fixed points and zeros, Topology and its Applications, 275, 107036(1-13), 2020.   (PDF)
    J148.   Alexandropoulos S.-A.N., Pardalos P.M., Vrahatis M.N., Dynamic search trajectory methods for global optimization, Annals of Mathematics and Artificial Intelligence, 88(1-3), pp.3-37, 2020.  (PDF)
    J147.   Ikonomakis E.K., Spyrou G.M., Vrahatis M.N., Content driven clustering algorithm combining density and distance functions, Pattern Recognition, 87, pp.190-202, 2019.  (PDF)
    J146.   Dukov N.T., Ganchev T.D., Vrahatis M.N., Evaluation of PNN pattern-layer activation function approximations in different training setups, International Journal of Speech Technology, 22(4), pp.1039-1049, 2019.  (PDF)
    J145.   Aridas C.K., Kotsiantis S.B., Vrahatis M.N., Hybrid local boosting utilizing unlabeled data in classification tasks, Evolving Systems, 10(1), pp.51-61, 2019.  (PDF)
    J144.   Alexandropoulos S.-A.N., Kotsiantis S.B., Vrahatis M.N., Data preprocessing in predictive data mining, Knowledge Engineering Review, 34, Article No. e1, pp.1-33, 2019.  (PDF)
    J143.   Adam S.P., Likas A.C., Vrahatis M.N., Evaluating generalization through interval-based neural network inversion, Neural Computing and Applications, 31(12), pp.9241-9260, 2019.  (PDF)
    J142.   Zottou D.-N.A., Kavvadias D.J., Makri F.S., Vrahatis M.N., Algorithm 987: MANBIS — A C++ mathematical software package for locating and computing efficiently many roots of a function: Theoretical issues, ACM Transactions on Mathematical Software, 44(3), Article No. 35, pp.1-7, 2018.  (PDF)
    J141. Alevizos Ph.D., Theodorou Y., Vrahatis M.N., Correspondence analysis with grey data: The grey eigenvalue problem, Journal of Grey System, 29(1), pp.92-104, 2017.  (PDF)
    J140. Vrahatis M.N., Generalization of the Bolzano theorem for simplices, Topology and its Applications, 202, pp.40-46, 2016.   (PDF)
    J139. Kaliakatsos-Papakostas M.A., Floros A., Vrahatis M.N., Interactive music composition driven by feature evolution, SpringerPlus, 5(826), pp.1-38, 2016.   (PDF)
    J138. Adam S.P., Magoulas G.D., Karras D.A., Vrahatis M.N., Bounding the search space for global optimization of neural networks learning error: An interval analysis approach, Journal of Machine Learning Research, 17(169), pp.1-40, 2016.  (PDF)
    J137. Voglis C., Hadjidoukas P.E., Parsopoulos K.E., Papageorgiou D.G., Lagaris I.E., Vrahatis M.N., p-MEMPSODE: Parallel and irregular memetic global optimization, Computer Physics Communications, 197, pp.190-211, 2015.   (PDF)
    J136. Meletiou G.C., Triantafyllou D.S., Vrahatis M.N., Handling problems in cryptography with matrix factorization, Journal of Applied Mathematics and Bioinformatics, 5(3), pp.37-48, 2015.   (PDF)
    J135. Ampatzoglou P., Hadjinicolaou M., Dassios G., Kourea H.P., Vrahatis M.N., A chemical energy approach of avascular tumor growth: Multiscale modeling and qualitative results, SpringerPlus, 4(660), pp.1-22, 2015.   (PDF)
    J134. Adam S.P., Karras D.A., Magoulas G.D., Vrahatis M.N., Solving the linear interval tolerance problem for weight initialization of neural networks, Neural Networks, 54, pp.17-37, 2014.  (PDF)
    J133. Meletiou G.C., Laskari E.C., Tasoulis D.K., Vrahatis M.N., Matrix representation of cryptographic functions, Journal of Applied Mathematics and Bioinformatics, 3(1), pp.205-213, 2013.  (PDF)
    J132. Kaliakatsos-Papakostas M.A., Floros A., Vrahatis M.N., A clustering strategy for the key segmentation of musical audio, Computer Music Journal, 37(1), pp.52-69, 2013.  (PDF)
    J131.   Kaliakatsos-Papakostas M.A., Epitropakis M.G., Floros A., Vrahatis M.N., Chaos and music: From time series analysis to evolutionary composition, International Journal of Bifurcation and Chaos, 23(11), pp.1350181-1—1350181-19, 2013.  (PDF)
    J130. Voglis C., Parsopoulos K.E., Papageorgiou D.G., Lagaris I.E., Vrahatis M.N., MEMPSODE: A global optimization software based on hybridization of population-based algorithms and local searches, Computer Physics Communications, 183(5), pp.1139-1154, 2012.  (PDF)
    J129. Kaliakatsos-Papakostas M.A., Epitropakis M.G., Floros A., Vrahatis M.N., Controlling interactive evolution of 8-bit melodies with genetic programming, Soft Computing, 16(12), pp.1997-2008, 2012.  (PDF)
    J128. Epitropakis M.G., Plagianakos V.P., Vrahatis M.N., Evolving cognitive and social experience in particle swarm optimization through differential evolution: A hybrid approach, Information Sciences, 216, pp.50-92, 2012.  (PDF)
    J127. Epitropakis M.G., Vrahatis M.N., Studying the basin of convergence of methods for computing periodic orbits, International Journal of Bifurcation and Chaos, 21(8), pp.2079-2106, 2011.  (PDF)
    J126. Epitropakis M.G., Tasoulis D.K., Pavlidis N.G., Plagianakos V.P., Vrahatis M.N., Enhancing differential evolution utilizing proximity-based mutation operators, IEEE Transactions on Evolutionary Computation, 15(1), pp.99-119, 2011.  (PDF)
    J125. Vrahatis M.N., Tsirogiannis G.A., Laskari E.C., Novel orbit based symmetric cryptosystems, Mathematical and Computer Modelling, 51(3-4), pp.239-246, 2010.  (PDF)
    J124. Galanis V.I., Ikonomakis E.K., Meletiou G.C., Vrahatis M.N., An e-voting based data gathering scheme for decision support systems, International Journal of Decision Sciences, Risk and Management, 2(1/2), pp.36-45, 2010.  (PDF)
    J123. Epitropakis M.G., Plagianakos V.P., Vrahatis M.N., Hardware-friendly higher-order neural network training using distributed differential evolution, Applied Soft Computing, 10(2), pp.398-408, 2010.  (PDF)
    J122. Alevizos P.D., Vrahatis M.N., Optimal dynamic box-counting algorithm, International Journal of Bifurcation and Chaos, 20(12), pp.4067-4077, 2010.  (PDF)
    J121. Adamopoulos A.V., Pavlidis N.G., Vrahatis M.N., Evolving cellular automata rules for multiple-step-ahead prediction of complex binary sequences, Mathematical and Computer Modelling, 51(3-4), pp.229-238, 2010.  (PDF)
    J120. Petalas Y.G., Parsopoulos K.E., Vrahatis M.N., Improving fuzzy cognitive maps learning through memetic particle swarm optimization, Soft Computing, 13(1), pp.77-94, 2009.  (PDF)
    J119. Petalas Y.G., Antonopoulos C.G., Bountis T.C., Vrahatis M.N., Detecting resonances in conservative maps using evolutionary algorithms, Physics Letters A, 373(3), pp.334-341, 2009.  (PDF)
    J118. Parsopoulos K.E., Kariotou F., Dassios G., Vrahatis M.N., Tackling magnetoencephalography with particle swarm optimization, International Journal of Bio-Inspired Computation, 1(1/2), pp.32-49, 2009.  (PDF)
    J117. Laskari E.C., Meletiou G.C., Vrahatis M.N., Aitken and Neville inverse interpolation methods for the Lucas logarithm problem, Applied Mathematics and Computation, 209(1), pp.52-56, 2009.  (PDF)
    J116. Stratikopoulos E.E., Augustinos A.A., Petalas Y.G., Vrahatis M.N., Mintzas A., Mathiopoulos K.D., Zacharopoulou A., An integrated genetic and cytogenetic map for the Mediterranean fruit fly, Ceratitis capitata, based on microsatellite and morphological markers, Genetica, 133(2), pp.147-157, 2008.  (PDF)
    J115. Petalas Y.G., Parsopoulos K.E., Vrahatis M.N., Stochastic optimization for detecting periodic orbits of nonlinear mappings, Nonlinear Phenomena in Complex Systems, 11(2), pp.285-291, 2008.  (PDF)
    J114. Petalas Y.G., Antonopoulos C.G., Bountis T.C., Vrahatis M.N., Evolutionary methods for the approximation of the stability domain and frequency optimization of conservative maps, International Journal of Bifurcation and Chaos, 18(8), pp.2249-2264, 2008.  (PDF)
    J113. Georgiou V.L., Alevizos Ph.D., Vrahatis M.N., Novel approaches to probabilistic neural networks through bagging and evolutionary estimating of prior probabilities, Neural Processing Letters, 27(2), pp.153-162, 2008.  (PDF)
    J112. Tasoulis D.K., Vrahatis M.N., Generalizing the k-windows clustering algorithm in metric spaces, Mathematical and Computer Modelling, 46(1-2), pp.268-277, 2007.  (PDF)
    J111. Petalas Y.G., Parsopoulos K.E., Vrahatis M.N., Memetic particle swarm optimization, Annals of Operations Research, 156(1), pp.99-127, 2007.  (PDF)
    J110. Pavlidis N.G., Vrahatis M.N., Mossay P., Existence and computation of short-run equilibria in economic geography, Applied Mathematics and Computation, 184(1), pp.93-103, 2007.  (PDF)
    J109. Parsopoulos K.E., Vrahatis M.N., Parameter selection and adaptation in unified particle swarm optimization, Mathematical and Computer Modelling, 46(1-2), pp.198-213, 2007.  (PDF)
    J108. Laskari E.C., Meletiou G.C., Stamatiou Y.C., Vrahatis M.N., Applying evolutionary computation methods for the cryptanalysis of Feistel ciphers, Applied Mathematics and Computation, 184(1), pp.63-72, 2007.  (PDF)
    J107. Laskari E.C., Meletiou G.C., Stamatiou Y.C., Tasoulis D.K., Vrahatis M.N., Assessing the effectiveness of artificial neural networks on problems related to elliptic curve cryptography, Mathematical and Computer Modelling, 46(1-2), pp.174-179, 2007.  (PDF)
    J106. Ganchev T.D., Tasoulis D.K., Vrahatis M.N., Facotakis N.D., Generalized locally recurrent probabilistic neural networks with application to text-independent speaker verification, Neurocomputing, 70(7-9), pp.1424-1438, 2007.  (PDF)
    J105. Tasoulis D.K., Vrahatis M.N., Unsupervised clustering using fractal dimension, International Journal of Bifurcation and Chaos, 16(7), pp.2073-2079, 2006.  (PDF)
    J104. Tasoulis D.K., Spyridonos P., Pavlidis N.G., Plagianakos V.P., Ravazoula P., Nikiforidis G., Vrahatis M.N., Cell-nuclear data reduction and prognostic model selection in bladder tumor recurrence, Artificial Intelligence in Medicine, 38(3), pp.291-303, 2006.  (PDF)
    J103. Tasoulis D.K., Plagianakos V.P., Vrahatis M.N., Unsupervised clustering in mRNA expression profiles, Computers in Biology and Medicine, 36(10), pp.1126-1142, 2006.  (PDF)
    J102. Tanabé S., Vrahatis M.N., On perturbation of roots of homogeneous algebraic systems, Mathematics of Computation, 75(255), pp.1383-1402, 2006.  (PDF)
    J101. Plagianakos V.P., Magoulas G.D., Vrahatis M.N., Evolutionary training of hardware realizable multilayer perceptrons, Neural Computing and Applications, 15(1), pp.33-40, 2006.  (PDF)
    J100. Plagianakos V.P., Magoulas G.D., Vrahatis M.N., Distributed computing methodology for training neural networks in an image-guided diagnostic application, Computer Methods and Programs in Biomedicine, 81(3), pp.228-235, 2006.  (PDF)
      J99. Pavlidis N.G., Tasoulis D.K., Plagianakos V.P., Vrahatis M.N., Computational intelligence methods for financial time series modeling, International Journal of Bifurcation and Chaos, 16(7), pp.2053-2062, 2006.  (PDF)
      J98. Pavlidis N.G., Plagianakos V.P., Tasoulis D.K., Vrahatis M.N., Financial forecasting through unsupervised clustering and neural networks, Operational Research–An International Journal, 6(2), pp.103-127, 2006.  (PDF)
      J97. Mourrain B., Pavlidis N.G., Tasoulis D.K., Vrahatis M.N., Determining the number of real roots of polynomials through neural networks, Computers and Mathematics with Applications, 51(3-4), pp.527-536, 2006.  (PDF)
      J96. Magoulas G.D., Vrahatis M.N., Adaptive algorithms for neural network supervised learning: A deterministic optimization approach, International Journal of Bifurcation and Chaos, 16(7), pp.1929-1950, 2006.  (PDF)
      J95. Laskari E.C., Meletiou G.C., Tasoulis D.K., Vrahatis M.N., Studying the performance of artificial neural networks on problems related to cryptography, Nonlinear Analysis–Real World Applications, 7(5), pp.937-942, 2006.  (PDF)
      J94. Georgiou V.L., Pavlidis N.G., Parsopoulos K.E., Alevizos Ph.D., Vrahatis M.N., New self-adaptive probabilistic neural networks in bioinformatic and medical tasks, International Journal on Artificial Intelligence Tools, 15(3), pp.371-396, 2006.   (PDF)
      J93. Boutsinas B., Tasoulis D.K., Vrahatis M.N., Estimating the number of clusters using a windowing technique, Pattern Recognition and Image Analysis, 16(2), pp.143-154, 2006.  (PDF)
      J92. Anastasiadis A.D., Magoulas G.D., Vrahatis M.N., Improved sign-based learning algorithm derived by the composite nonlinear Jacobi process, Journal of Computational and Applied Mathematics, 191(2), pp.166-178, 2006.  (PDF)
      J91. Tasoulis D.K., Vrahatis M.N., Unsupervised clustering on dynamic databases, Pattern Recognition Letters, 26(13), pp.2116-2127, 2005.  (PDF)
      J90. Skokos Ch., Parsopoulos K.E., Patsis P.A., Vrahatis M.N., Particle swarm optimization: An efficient method for tracing periodic orbits in three-dimensional galactic potentials, Monthly Notices of the Royal Astronomical Society, 359(1), pp.251-260, 2005.  (PDF)
      J89. Pavlidis N.G., Parsopoulos K.E., Vrahatis M.N., Computing Nash equilibria through computational intelligence methods, Journal of Computational and Applied Mathematics, 175(1), pp.113-136, 2005.  (PDF)
      J88. Papageorgiou E.I., Parsopoulos K.E., Stylios C.D., Groumpos P.P., Vrahatis M.N., Fuzzy cognitive maps learning using particle swarm optimization, Journal of Intelligent Information Systems, 25(1), pp.95-121, 2005.  (PDF)
      J87. Laskari E.C., Meletiou G.C., Vrahatis M.N., Aitken and Neville inverse interpolation methods over finite fields, Applied Numerical Analysis and Computational Mathematics, 2(1), pp.100-107, 2005.  (PDF)
      J86. Laskari E.C., Meletiou G.C., Vrahatis M.N., Problems of cryptography as discrete optimization tasks, Nonlinear Analysis–Theory, Methods & Applications, 63(5-7), pp.e831-e837, 2005.  (PDF)
      J85. Laskari E.C., Meletiou G.C., Tasoulis D.K., Vrahatis M.N., Privacy preserving electronic data gathering, Mathematical and Computer Modelling, 42(7-8), pp.739-746, 2005.  (PDF)
      J84. Laskari E.C., Meletiou G.C., Stamatiou Y.C., Vrahatis M.N., Evolutionary computation based cryptanalysis: A first study, Nonlinear Analysis–Theory, Methods & Applications, 63(5-7), pp.e823-e830, 2005.  (PDF)
      J83. Kavvadias D.J., Makri F.S., Vrahatis M.N., Efficiently computing many roots of a function, SIAM Journal on Scientific Computing, 27(1), pp.93-107, 2005.  (PDF)
      J82. Anastasiadis A.D., Magoulas G.D., Vrahatis M.N., Sign-based learning schemes for pattern classification, Pattern Recognition Letters, 26(12), pp.1926-1936, 2005.  (PDF)
      J81. Anastasiadis A.D., Magoulas G.D., Vrahatis M.N., New globally convergent training scheme based on the resilient propagation algorithm, Neurocomputing, 64, pp.253-270, 2005.  (PDF)
      J80. Skokos Ch., Antonopoulos Ch., Bountis T.C., Vrahatis M.N., Detecting order and chaos in Hamiltonian systems by the SALI method, Journal of Physics A, 37(24), pp.6269-6284, 2004.  (PDF)
      J79. Parsopoulos K.E., Vrahatis M.N., On the computation of all global minimizers through particle swarm optimization, IEEE Transactions on Evolutionary Computation, 8(3), pp.211-224, 2004.  (PDF)
      J78. Magoulas G.D., Plagianakos V.P., Vrahatis M.N., Neural network-based colonoscopic diagnosis using on-line learning and differential evolution, Applied Soft Computing, 4(4), pp.369-379, 2004.  (PDF)
      J77. Magoulas G.D., Karkanis S.A., Karras D.A., Vrahatis M.N., Evaluation of texture-based schemes in neural classifiers training, WSEAS Transactions on Computers, 3(6), pp.1729-1735, 2004.  (PDF)
      J76. Karagiannopoulos M.G., Vrahatis M.N., Meletiou G.C., A note on a secure voting system on a public network, Networks, 43(4), pp.224-225, 2004.  (PDF)
      J75. Ganchev T.D., Tasoulis D.K., Vrahatis M.N., Facotakis N.D., Locally recurrent probabilistic neural networks with application to speaker verification, GESTS International Transaction on Speech Science and Engineering, 1(2), pp.1-13, 2004.  (PDF)
      J74. Bartz-Beielstein T., Parsopoulos K.E., Vrahatis M.N., Design and analysis of optimization algorithms using computational statistics, Applied Numerical Analysis and Computational Mathematics, 1(3), pp.413-433, 2004.  (PDF)
      J73. Andreou A.S., Parsopoulos K.E., Vrahatis M.N., Zombanakis G.A., An alliance between Cyprus and Greece: Assessing its partners’ relative security contribution, Defence and Peace Economics, 15(5), pp.481-495, 2004.  (PDF)
      J72. Vrahatis M.N., Magoulas G.D., Plagianakos V.P., From linear to nonlinear iterative methods, Applied Numerical Mathematics, 45(1), pp.59-77, 2003.  (PDF)
      J71. Skokos Ch., Antonopoulos Ch., Bountis T.C., Vrahatis M.N., How does the Smaller Alignment Index (SALI) distinguish order from chaos? Progress of Theoretical Physics Supplement, 150, pp.439-443, 2003.  (PDF)
      J70. Polymilis C., Servizi G., Skokos Ch., Turchetti G., Vrahatis M.N., Topological degree theory and local analysis of area preserving maps, Chaos, 13(1), pp.94-104, 2003.  (PDF)
      J69. Meletiou G.C., Tasoulis D.K., Vrahatis M.N., Cryptography through interpolation, approximation and computational intelligence methods, Bulletin of the Greek Mathematical Society, 48, pp.61-75, 2003.  (PDF)
      J68. Laskari E.C., Parsopoulos K.E., Vrahatis M.N., Utilizing evolutionary operators in global optimization with dynamic search trajectories, Numerical Algorithms, 34(2-4), pp.393-403, 2003.  (PDF)
      J67. Kalantonis V.S., Perdios E.A., Perdiou A.E., Ragos O., Vrahatis M.N., Deflation techniques for the determination of periodic solutions of a certain period, Astrophysics and Space Science, 288(2), pp.591-599, 2003.  (PDF)
      J66. Kalantonis V.S., Perdios E.A., Perdiou A.E., Ragos O., Vrahatis M.N., On the application of optimization methods to the determination of members of families of periodic solutions, Astrophysics and Space Science, 288(2), pp.581-590, 2003.  (PDF)
      J65. Vrahatis M.N., Boutsinas B., Alevizos P., Pavlides G., The new k-windows algorithm for improving the k-means clustering algorithm, Journal of Complexity, 18(1), pp.375-391, 2002.  (PDF)
      J64. Plagianakos V.P., Vrahatis M.N., Parallel evolutionary trained algorithms for “hardware-friendly” neural networks, Natural Computing, 1(2-3), pp.307-322, 2002.  (PDF)
      J63. Plagianakos V.P., Magoulas G.D., Vrahatis M.N., Deterministic nonmonotone strategies for effective training of multilayer perceptrons, IEEE Transactions on Neural Networks, 13(6), pp.1268-1284, 2002.  (PDF)
      J62. Perdiou A.E., Kalantonis V.S., Perdios E.A., Vrahatis M.N., Application of efficient composite methods for computing with certainty periodic orbits in molecular systems, Computer Physics Communications, 148(2), pp.227-235, 2002.  (PDF)
      J61. Perdios E.A., Kalantonis V.S., Vrahatis M.N., Efficient method for computing with certainty periodic orbits on a surface of section, Celestial Mechanics and Dynamical Astronomy, 84(3), pp.231-244, 2002.  (PDF)
      J60. Parsopoulos K.E., Vrahatis M.N., Recent approaches to global optimization problems through particle swarm optimization, Natural Computing, 1(2-3), pp.235-306, 2002.  (PDF)
      J59. Mourrain B., Vrahatis M.N., Yakoubsohn J.C., On the complexity of isolating real roots and computing with certainty the topological degree, Journal of Complexity, 18(2), pp.612-640, 2002.  (PDF)
      J58. Magoulas G.D., Plagianakos V.P., Vrahatis M.N., Globally convergent algorithms with local learning rates, IEEE Transactions on Neural Networks, 13(3), pp.774-779, 2002.  (PDF)
      J57. Katsanos N.A., Roubani-Kalantzopoulou F., Iliopoulou E., Bassiotis I., Siokos V., Vrahatis M.N., Plagianakos V.P., Lateral molecular interactions on heterogeneous surfaces experimentally measured, Colloids and Surfaces A–Physicochemical and Engineering Aspects, 201(1-3), pp.173-180, 2002.  (PDF)
      J56. Bergamin J.M., Bountis T., Vrahatis M.N., Homoclinic orbits of invertible maps, Nonlinearity, 15(5), pp.1603-1619, 2002.  (PDF)
      J55. Andreou A.S., Parsopoulos K.E., Vrahatis M.N., Zombanakis G.A., Optimal versus required defence expenditure: The case of the Greek-Turkish arms race, Defence and Peace Economics, 13(4), pp.329-347, 2002.  (PDF)
      J54. Vrahatis M.N., Ragos O., Androulakis G.S., Computing families of periodic orbits through optimization methods, Nonlinear Analysis–Theory, Methods & Applications, 47(5), pp.3449-3454, 2001.  (PDF)
      J53. Vrahatis M.N., Perdiou A.E., Kalantonis V.S., Perdios E.A., Papadakis K., Prosmiti R., Farantos S.C., Application of the characteristic bisection method for locating and computing periodic orbits in molecular systems, Computer Physics Communications, 138(1), pp.53-68, 2001.  (PDF)
      J52. Tsirogiannis G.A., Beligiannis G.N., Likothanassis S.D., Vrahatis M.N., Evolutionary algorithms for computing zeros of nonlinear functions, Nonlinear Analysis–Theory, Methods & Applications, 47(5), pp.3437-3442, 2001.  (PDF)
      J51. Ragos O., Perdios E.A., Kalantonis V.S., Vrahatis M.N., On the equilibrium points of the relativistic restricted three-body problem, Nonlinear Analysis–Theory, Methods & Applications, 47(5), pp.3413-3418, 2001.  (PDF)
      J50. Plagianakos V.P., Nousis N.K., Vrahatis M.N., Locating and computing in parallel all the simple roots of special functions using PVM, Journal of Computational and Applied Mathematics, 133(1&2), pp.545-554, 2001.  (PDF)
      J49. Plagianakos V.P., Magoulas G.D., Vrahatis M.N., Learning in multilayer perceptrons using global optimization strategies, Nonlinear Analysis–Theory, Methods & Applications, 47(5), pp.3431-3436, 2001.  (PDF)
      J48. Perdios E.A., Ragos O., Perdiou A.E., Vrahatis M.N., Symmetric doubly asymptotic orbits in the photogravitational restricted three-body problem, Nonlinear Analysis–Theory, Methods & Applications, 47(5), pp.3443-3448, 2001.  (PDF)
      J47. Parsopoulos K.E., Plagianakos V.P., Magoulas G.D., Vrahatis M.N., Objective function “stretching” to alleviate convergence to local minima, Nonlinear Analysis–Theory, Methods & Applications, 47(5), pp.3419-3424, 2001.  (PDF)
      J46. Magoulas G.D., Plagianakos V.P., Vrahatis M.N., Adaptive stepsize algorithms for on-line training of neural networks, Nonlinear Analysis–Theory, Methods & Applications, 47(5), pp.3425-3430, 2001.  (PDF)
      J45. Magoulas G.D., Plagianakos V.P., Androulakis G.S., Vrahatis M.N., A framework for the development of globally convergent adaptive learning rate algorithms, International Journal of Computer Research, 10(1), pp.1-10, 2001.  (PDF)
      J44. Kalantonis V.S., Perdios E.A., Perdiou A.E., Vrahatis M.N., Computing with certainty individual members of families of periodic orbits of a given period, Celestial Mechanics and Dynamical Astronomy, 80(2), pp.81-96, 2001.  (PDF)
      J43. Boutsinas B., Vrahatis M.N., Artificial nonmonotonic neural networks, Artificial Intelligence, 132(1), pp.1-38, 2001.  (PDF)
      J42. Vrahatis M.N., Magoulas G.D., Plagianakos V.P., Globally convergent modification of the Quickprop method, Neural Processing Letters, 12(2), pp.159-169, 2000.  (PDF)
      J41. Vrahatis M.N., Androulakis G.S., Lambrinos J.N., Magoulas G.D., A class of gradient unconstrained minimization algorithms with adaptive stepsize, Journal of Computational and Applied Mathematics, 114(2), pp.367-386, 2000.  (PDF)
      J40. Vrahatis M.N., Simplex bisection and Sperner simplices, Bulletin of the Greek Mathematical Society, 44, pp.171-180, 2000.   (PDF)
      J39. Magoulas G.D., Vrahatis M.N., A class of adaptive learning rate algorithms derived by one-dimensional subminimization methods, Neural, Parallel & Scientific Computations, 8, pp.147-168, 2000.  (PDF)
      J38. Kravanja P., Van Barel M., Ragos O., Vrahatis M.N., Zafiropoulos F.A., ZEAL: A mathematical software package for computing zeros of analytic functions, Computer Physics Communications, 124(2&3), pp.212-232, 2000.  (PDF)
      J37. Kavvadias D.J., Makri F.S., Vrahatis M.N., Locating and computing arbitrarily distributed zeros, SIAM Journal on Scientific Computing, 21(3), pp.954-969, 1999.  (PDF)
      J36. Magoulas G.D., Vrahatis M.N., Androulakis G.S., Improving the convergence of the backpropagation algorithm using learning rate adaptation methods, Neural Computation, 11(7), pp.1769-1796, 1999.  (PDF)
      J35. Kravanja P., Ragos O., Vrahatis M.N., Zafiropoulos F.A., ZEBEC: A mathematical software package for computing simple zeros of Bessel functions of real order and complex argument, Computer Physics Communications, 113(2&3), pp.220-238, 1998.  (PDF)
      J34. Vrahatis M.N., Ragos O., Skiniotis T., Zafiropoulos F.A., Grapsa T.N., The topological degree theory for the localization and computation of complex zeros of Bessel functions, Numerical Functional Analysis and Optimization, 18(1&2), pp.227-234, 1997.  (PDF)
      J33. Vrahatis M.N., Isliker H., Bountis T.C., Structure and breakdown of invariant tori in a 4-D mapping model of accelerator dynamics, International Journal of Bifurcation and Chaos, 7(12), pp.2707-2722, 1997.  (PDF)
      J32. Vrahatis M.N., Grapsa T.N., Ragos O., Zafiropoulos F.A., On the localization and computation of zeros of Bessel functions, Zeitschrift für angewandte Mathematik und Mechanik, 77(6), pp.467-475, 1997.  (PDF)
      J31. Vrahatis M.N., Androulakis G.S., Magoulas G.D., On the acceleration of the backpropagation training method, Nonlinear Analysis–Theory, Methods & Applications, 30(7), pp.4551-4554, 1997.  (PDF)
      J30. Sotiropoulos D.G., Stavropoulos E.C., Vrahatis M.N., A new hybrid genetic algorithm for global optimization, Nonlinear Analysis–Theory, Methods & Applications, 30(7), pp.4529-4538, 1997.  (PDF)
      J29. Magoulas G.D., Vrahatis M.N., Androulakis G.S., Effective backpropagation training with variable stepsize, Neural Networks, 10(1), pp.69-82, 1997.  (PDF)
      J28. Magoulas G.D., Vrahatis M.N., Androulakis G.S., On the alleviation of the problem of local minima in backpropagation, Nonlinear Analysis–Theory, Methods & Applications, 30(7), pp.4545-4550, 1997.  (PDF)
      J27. Grapsa T.N., Vrahatis M.N., Androulakis G.S., Composite dimension-reducing methods for unconstrained optimization, Systems Analysis Modelling Simulation (1984-2003), 27(2-3), pp. 249-264, 1997 – Incorporated into “International Journal of Systems Science”.  (LINK)
      J26. Androulakis G.S., Magoulas G.D., Vrahatis M.N., Geometry of learning: Visualizing the performance of neural network supervised training methods, Nonlinear Analysis–Theory, Methods & Applications, 30(7), pp.4539-4544, 1997.  (PDF)
      J25. Vrahatis M.N., Triantafyllou E.C., Locating, characterizing and computing the stationary points of a function, Reliable Computing, 2(2), pp.187-193, 1996.  (PDF)
      J24. Vrahatis M.N., Ragos O., Zafiropoulos F.A., Grapsa T.N., Locating and computing zeros of Airy functions, Zeitschrift für angewandte Mathematik und Mechanik, 76(7), pp.419-422, 1996.  (PDF)
      J23. Vrahatis M.N., Bountis T.C., Kollmann M., Periodic orbits and invariant surfaces of 4-D nonlinear mappings, International Journal of Bifurcation and Chaos, 6(8), pp.1425-1437, 1996.  (PDF)
      J22. Vrahatis M.N., Androulakis G.S., Manoussakis G.E., A new unconstrained optimization method for imprecise function and gradient values, Journal of Mathematical Analysis and Applications, 197(2), pp.586-607, 1996.  (PDF)
      J21. Kavvadias D.J., Vrahatis M.N., Locating and computing all the simple roots and extrema of a function, SIAM Journal on Scientific Computing, 17(5), pp.1232-1248, 1996.  (PDF)
      J20. Grapsa T.N., Vrahatis M.N., A dimension-reducing method for unconstrained optimization, Journal of Computational and Applied Mathematics, 66, pp.239-253, 1996.  (PDF)
      J19. Drossos L., Ragos O., Vrahatis M.N., Bountis T.C., Method for computing long periodic orbits of dynamical systems, Physical Review E, 53(1), pp.1206-1211, 1996.  (PDF)
      J18. Androulakis G.S., Vrahatis M.N., Grapsa T.N., Studying the performance of optimization methods by visualization, Systems Analysis Modelling Simulation (1984-2003), 25(1), pp.21-42, 1996 – Incorporated into “International Journal of Systems Science”.  (LINK)
      J17. Androulakis G.S., Vrahatis M.N., OPTAC: A portable software package for analyzing and comparing optimization methods by visualization, Journal of Computational and Applied Mathematics, 72, pp.41-62, 1996.  (PDF)
      J16. Vrahatis M.N., Ragos O., Skiniotis T., Zafiropoulos F.A., Grapsa T.N., RFSFNS: A portable package for the numerical determination of the number and the calculation of roots of Bessel functions, Computer Physics Communications, 92, pp.252-266, 1995.  (PDF)
      J15. Vrahatis M.N., An efficient method for locating and computing periodic orbits of nonlinear mappings, Journal of Computational Physics, 119, pp.105-119, 1995.  (PDF)
      J14. Servizi G., Bortolotti D., Todesco E., Giovannozzi M., Vrahatis M.N., GIOTTO: A code for the nonlinear-analysis of area-preserving mappings, International Journal of Modern Physics C, 6(5), pp.651-661, 1995.  (PDF)
      J13. Ragos O., Zafiropoulos F.A., Vrahatis M.N., A numerical study of the influence of the Poynting-Robertson effect on the equilibrium points of the photogravitational restricted three-body problem: II. Out of plane case, Astronomy and Astrophysics, 300, pp.579-590, 1995.  (PDF)
      J12. Grapsa T.N., Vrahatis M.N., A new dimension-reducing method for solving systems of nonlinear equations, International Journal of Computer Mathematics, 55, pp.235-244, 1995.  (PDF)
      J11. Komineas St., Vrahatis M.N., Bountis T.C., 2D universality of period-doubling bifurcations in 3D conservative reversible mappings, Physica A, 211(2-3), pp.218-233, 1994.  (PDF)
      J10. Vrahatis M.N., Bountis T.C., Budinsky N., A convergence-improving iterative method for computing periodic orbits near bifurcation points, Journal of Computational Physics, 88(1), pp.1-14, 1990.  (PDF)
        J9.  Grapsa T.N., Vrahatis M.N., Bountis T.C., Solving systems of nonlinear equations in ℝn using a rotating hyperplane in ℝn+1, International Journal of Computer Mathematics, 35(1-4), pp.133-151, 1990.  (PDF)
        J8.  Grapsa T.N., Vrahatis M.N., A dimension-reducing method for solving systems of nonlinear equations in ℝn, International Journal of Computer Mathematics, 32, pp.205-216, 1990.  (PDF)
        J7.  Vrahatis M.N., A short proof and a generalization of Miranda's existence theorem, Proceedings of the American Mathematical Society, 107(3), pp.701-703, 1989.  (PDF)
        J6.  Grapsa T.N., Vrahatis M.N., The implicit function theorem for solving systems of nonlinear equations in ℝ2, International Journal of Computer Mathematics, 28(1-4), pp.171-181, 1989.  (PDF)
        J5.  Vrahatis M.N., A variant of Jung's theorem, Bulletin of the Greek Mathematical Society, 29, pp.1-6, 1988.  (PDF)
        J4.  Vrahatis M.N., CHABIS: A mathematical software package for locating and evaluating roots of systems of nonlinear equations, ACM Transactions on Mathematical Software, 14(4), pp.330-336, 1988.  (PDF)
        J3.  Vrahatis M.N., Solving systems of nonlinear equations using the nonzero value of the topological degree, ACM Transactions on Mathematical Software, 14(4), pp.312-329, 1988.  (PDF)
        J2.  Vrahatis M.N., Iordanidis K.I., A rapid generalized method of bisection for solving systems of nonlinear equations, Numerische Mathematik, 49(2-3), pp.123-138, 1986.  (PDF)
        J1.  Vrahatis M.N., An error estimation for the method of bisection in ℝn, Bulletin of the Greek Mathematical Society, 27, pp.161-174, 1986.  (PDF)

  3. Invited and Refereed Book Chapters (Ch)

     Ch26.   Vrahatis M.N., Survey on generalizations of the intermediate value theorem and applications, Computer Algebra in Scientific Computing, F. Boulier, M. England, T.M. Sadykov, E.V. Vorozhtsov (eds.), Lecture Notes in Computer Science, vol. 13366, Chapter 1, pp.1-17, Springer, Cham, 2022 [ISBN: 978-3-031-14787-6 (Print), ISBN: 978-3-031-14788-3 (Online)].  (PDF)
     Ch25.   Parsopoulos K.E., Vrahatis M.N., Deflection and stretching techniques for detection of multiple minimizers in multimodal optimization problems, Metaheuristics for Finding Multiple Solutions, M. Preuss, M.G. Epitropakis, J.E. Fieldsend and X. Li (eds.), Chapter 6, pp.129-144, Natural Computing Series, Springer Nature Switcherland AG 2021 [ISBN: 978-3-030-79555-9 (Softcover), ISBN: 978-3-030-79553-5 (eBook)].  (PDF)
     Ch24.   Meletiou G.C., Triantafyllou D.S, Vrahatis M.N., First study for ramp secret sharing schemes through greatest common divisor of polynomials, Computational Mathematics and Variational Analysis, N.J. Daras and Th.M. Rassias (eds.), Chapter 14, pp.247-259, Springer Optimization and Its Applications 159, Springer Nature Switzerland AG 2020 [ISBN: 978-3-030-44624-6, ISBN: 978-3-030-44625-3 (eBook)].  (PDF)
     Ch23.   Kaliakatsos-Papakostas M.A., Floros A., Vrahatis M.N., Artificial intelligence methods for music generation: A review and future perspectives, Nature-Inspired Computation and Swarm Intelligence: Algorithms, Theory and Applications, X.-S. Yang (ed.), Chapter 13, pp.217-245, Elsevier Ltd., London, UK, 2020 [ISBN: 978-0-12-819714-1].  (PDF)
     Ch22.   Alexandropoulos S.-A.N., Aridas C.K., Kotsiantis S.B., Vrahatis M.N., Multi-objective evolutionary optimization algorithms for machine learning: A recent survey, Approximation and Optimization, I.C. Demetriou and P.M. Pardalos (eds.), Chapter 4, pp.35-55, Springer Optimization and Its Applications 145, Springer Nature Switzerland AG 2019 [ISBN: 978-3-030-12766-4, ISBN: 978-3-030-12767-1 (eBook)].  (PDF)
     Ch21.   Adam S.P., Alexandropoulos S.-A.N., Pardalos P.M., Vrahatis M.N., No free lunch theorem: A review, Approximation and Optimization, I.C. Demetriou and P.M. Pardalos (eds.), Chapter 5, pp.57-82, Springer Optimization and Its Applications 145, Springer Nature Switzerland AG 2019 [ISBN: 978-3-030-12766-4, ISBN: 978-3-030-12767-1 (eBook)].  (PDF)
     Ch20.   Daras N.J., Vrahatis M.N., Optimal rational approximation number sets: Application to nonlinear dynamics in particle accelerators, Contributions in Mathematics and Engineering: In Honor of Constantin Carathéodory, P.M. Pardalos and Th.M. Rassias (eds.), Chapter 6, pp.95-115, Springer International Publishing, Switzerland, 2016 [ISBN: 978-3-319-31315-3, ISBN: 978-3-319-31317-7 (eBook)].  (PDF)
     Ch19.   Markoutis V.E., Meletiou G.C., Veneti A.N., Vrahatis M.N., Threshold secret sharing through multivariate Birkhoff interpolation, Computation, Cryptography, and Network Security, N.J. Daras and M.Th. Rassias (eds.), Chapter 14, pp.331-350, Springer International Publishing, Switzerland, 2015 [ISBN: 978-3-319-18274-2, ISBN: 978-3-319-18275-9 (eBook)].  (PDF)
     Ch18.   Alexandropoulos S.-A.N., Meletiou G.C., Triantafyllou D.S., Vrahatis M.N., Transformations of cryptographic schemes through interpolation techniques, Computation, Cryptography, and Network Security, N.J. Daras and M.Th. Rassias (eds.), Chapter 1, pp.1-17, Springer International Publishing, Switzerland, 2015 [ISBN: 978-3-319-18274-2, ISBN: 978-3-319-18275-9 (eBook)].  (PDF)
     Ch17.   Kaliakatsos-Papakostas M.A., Floros A., Vrahatis M.N., Intelligent music composition, Swarm Intelligence and Bioinspired Computation: Theory and Applications, X.-S. Yang, Z.-H. Cui, R.-B. Xiao, A.H. Gandomi and M. Karamanoglu (eds.), Chapter 10, pp.239-256, Elsevier Inc., London, UK, May 2013 [ISBN: 978-0-12-405163-8].  (PDF)
     Ch16. Epitropakis M.G., Plagianakos V.P., Vrahatis M.N., Evolutionary algorithm training of higher order neural networks, Artificial Higher Order Neural Networks for Computer Science and Engineering: Trends for Emerging Applications, M. Zhang (ed.), Chapter 3, pp.57-85, IGI Global, Hershey, PA, USA, 2010 [ISBN: 978-1-61520-711-4].  (PDF)
     Ch15. Tasoulis D.K., Plagianakos V.P., Vrahatis M.N., Computational intelligence algorithms and DNA microarrays, Computational Intelligence in Bioinformatics, A. Kelemen, A. Abraham and Y.-H. Chen (eds.), Chapter 1, pp.1-31, Springer (Studies in Computational Intelligence series, vol.94), Berlin/Heidelberg, Germany, February 2008 [ISBN: 978-3-540-76802-9].  (PDF)
     Ch14. Plagianakos V.P., Tasoulis D.K., Vrahatis M.N., A review of major application areas of differential evolution, Advances in Differential Evolution, U.K. Chakraborty (ed.), Chapter 8, pp.197-238, Springer (Studies in Computational Intelligence series, vol.143), Berlin/Heidelberg, Germany, September 2008 [ISBN: 978-3-540-68827-3].  (PDF)
     Ch13. Parsopoulos K.E., Vrahatis M.N., Multi-objective particle swarm optimization approaches, Multi-objective Optimization in Computational Intelligence: Theory and Practice, L.T. Bui and S. Alam (eds.), Chapter 2, pp.20-42, IGI Global, Hershey, PA, USA, April 2008 [ISBN-10: 1599044986, ISBN-13: 978-1-59904-498-9].  (PDF)
     Ch12. Ganchev T.D., Parsopoulos K.E., Vrahatis M.N., Facotakis N.D., Partially connected locally recurrent probabilistic neural networks, Recurrent Neural Networks, X.-L. Hu and P. Balasubramaniam (eds.), Chapter 18, pp.377-400, I-Tech, Vienna, Austria, September 2008 [ISBN: 978-953-7619-08-4].  (PDF)
     Ch11. Laskari E.C., Meletiou G.C., Stamatiou Y.C., Vrahatis M.N., Cryptography and cryptanalysis through computational intelligence, Computational Intelligence in Information Assurance and Security, N. Nedjah, A. Abraham and L. de Macedo Mourelle (eds.), Chapter 1, pp.1-49, Springer (Studies in Computational Intelligence series, vol.57), Berlin/Heidelberg, Germany, May 2007 [ISBN: 978-3-540-71077-6].  (PDF)
     Ch10. Plagianakos V.P., Magoulas G.D., Vrahatis M.N., Improved learning of neural nets through global search, Global optimization: Scientific and Engineering Case Studies, J.D. Pintér (ed.), Chapter 15, pp.361-388, Springer (Nonconvex Optimization and Its Applications series, vol.85), New York, NY, USA, April 2006 [ISBN: 0-387-30408-8].  (PDF)
       Ch9.  Tasoulis D.K., Vrahatis M.N., Novel approaches to unsupervised clustering through k-windows algorithm, Knowledge Mining, S. Sirmakessis (ed.), Chapter 5, pp.51-77, Springer (Studies in Fuzziness and Soft Computing series, vol.185), Berlin/Heidelberg, Germany, 2005 [ISBN: 978-3-540-25070-8].  (PDF)
       Ch8.  Pavlidis N.G., Tasoulis D.K., Androulakis G.S., Vrahatis M.N., Exchange rate forecasting through distributed time-lagged feedforward neural networks, Supply Chain and Finance, P.M. Pardalos, A. Migdalas and G. Baourakis (eds.), Chapter 17, pp.283-298, World Scientific Publishing (Computers and Operations Research series, vol.2), River Edge, NJ, USA, 2004 [ISBN 981-238-717-X].   (PDF)
       Ch7.  Boutsinas B., Meletiou G.C., Vrahatis M.N., Mining encrypted data, Supply Chain and Finance, P.M. Pardalos, A. Migdalas and G. Baourakis (eds.), Chapter 16, pp.273-281, World Scientific Publishing (Computers and Operations Research series, vol.2), River Edge, NJ, USA, 2004 [ISBN 981-238-717-X].   (PDF)
       Ch6.  Plagianakos V.P., Vrahatis M.N., A derivative free minimization method for noisy functions, Combinatorial and Global Optimization, P.M. Pardalos, A. Migdalas and R.E. Burkard (eds.), Chapter 18, pp.283-296, World Scientific Publishing (Applied Mathematics series, vol.14), River Edge, NJ, USA, 2002 [ISBN: 981-02-4802-4].   (PDF)
       Ch5.  Andreou A.S., Parsopoulos K.E., Vrahatis M.N., Zombanakis G.A., Searching for the optimal defence expenditure: An answer in the context of the Greek-Turkish arms race, Financial Engineering, E-Commerce and Supply Chain, P.M. Pardalos and V. Tsitsiringos (eds.), Chapter 7, pp.101-118, Kluwer Academic Publishers (Applied Optimization series, vol.70), Dordrecht, The Netherlands, 2002 [ISBN: 1-4020-0640-3].   (PDF)
       Ch4.  Plagianakos V.P., Magoulas G.D., Vrahatis M.N., Learning rate adaptation in stochastic gradient descent, Advances in Convex Analysis and Global Optimization, Honoring the memory of C. Carathéodory (1873-1950), N. Hadjisavvas and P.M. Pardalos (eds.), Chapter 27, pp.433-444, Kluwer Academic Publishers (Nonconvex Optimization and Its Applications series, vol.54), Dordrecht, The Netherlands, 2001 [ISBN: 0-7923-6942-4].  (PDF)
       Ch3.  Plagianakos V.P., Magoulas G.D., Vrahatis M.N., Supervised training using global search methods, Advances in Convex Analysis and Global Optimization, Honoring the memory of C. Carathéodory (1873-1950), N. Hadjisavvas and P.M. Pardalos (eds.), Chapter 26, pp.421-432, Kluwer Academic Publishers (Nonconvex Optimization and Its Applications series, vol.54), Dordrecht, The Netherlands, 2001 [ISBN: 0-7923-6942-4].  (PDF)
       Ch2.  Parsopoulos K.E., Plagianakos V.P., Magoulas G.D., Vrahatis M.N., Improving the particle swarm optimizer by function “stretching”, Advances in Convex Analysis and Global Optimization, Honoring the memory of C. Carathéodory (1873-1950), N. Hadjisavvas and P.M. Pardalos (eds.), Chapter 28, pp.445-456, Kluwer Academic Publishers (Nonconvex Optimization and Its Applications series, vol.54), Dordrecht, The Netherlands, 2001 [ISBN: 0-7923-6942-4].  (PDF)
       Ch1.  Vrahatis M.N., Sotiropoulos D.G., Triantafyllou E.C., Global optimization for imprecise problems, Developments in Global Optimization, I.M. Bomze, T. Csendes, R. Horst and P.M. Pardalos (eds.), Chapter 3, pp.37-54, Kluwer Academic Publishers (Nonconvex Optimization and Its Applications series, vol.18), Dordrecht, The Netherlands, 1997 [ISBN: 0-7923-4351-4].  (PDF)

  4. Refereed Book Chapters and Edited Volumes (V)

    V73. Syriopoulos P.K., Kotsiantis S.B., Vrahatis M.N., Survey on KNN methods in data science, Lecture Notes in Computer Science (LNCS), vol.13621, pp.379-393, Springer, 2022.  (PDF)
    V72. Syriopoulos P.K., Kalampalikis N.G., Vrahatis M.N., Maximizing the eigenvalue-gap and promoting sparsity of doubly stochastic matrices with PSO, Lecture Notes in Computer Science (LNCS), vol.13621, pp.535-548, Springer, 2022.  (PDF)
    V71. Chatzilygeroudis K.I., Vrahatis A.G., Tasoulis S.K., Vrahatis M.N., Feature selection in single-cell RNA-seq data via a genetic algorithm, Lecture Notes in Computer Science (LNCS), vol.12931, pp.66-79, Springer, 2021.  (PDF)
    V70. Vrahatis M.N., Generalizations of the intermediate value theorem for approximating fixed points and zeros of continuous functions, Lecture Notes in Computer Science (LNCS), vol.11974, pp.223-238, Springer, 2020.  (PDF)
    V69. Alexandropoulos S.-A.N., Aridas C.K., Kotsiantis S.B., Vrahatis M.N., A deep dense neural network for bankruptcy prediction, Communications in Computer and Information Science (CCIS), vol.1000, pp.435-444, Springer Nature Switzerland AG, Switzerland, 2019.  (PDF)
    V68.   Alexandropoulos S.-A.N., Aridas C.K., Kotsiantis S.B., Vrahatis M.N., Stacking strong ensembles of classifiers, IFIP Advances in Information and Communication Technology, vol.559, pp.545-556, Springer Nature Switzerland AG, Switzerland, 2019.  (PDF)
    V67. Aridas C.K., Alexandropoulos S.-A.N., Kotsiantis S.B., Vrahatis M.N., Random resampling in the one-versus-all strategy for handling multi-class problems, Communications in Computer and Information Science (CCIS), vol.744, pp.111-121, Springer, 2017.  (PDF)
    V66. Adam S.P., Likas A.C., Vrahatis M.N., Interval analysis based neural network inversion: A means for evaluating generalization, Communications in Computer and Information Science (CCIS), vol.744, pp.314-326, Springer, 2017.  (PDF)
    V65.   Aridas C.K., Kotsiantis S.B., Vrahatis M.N., Combining prototype selection with local boosting, IFIP Advances in Information and Communication Technology, vol.475, pp.94-105, Springer International Publishing, Switzerland, 2016.  (PDF)
    V64.   Aridas C.K., Kotsiantis S.B., Vrahatis M.N., Increasing diversity in random forests using naive Bayes, IFIP Advances in Information and Communication Technology, vol.475, pp.75-86, Springer International Publishing, Switzerland, 2016.  (PDF)
    V63.   Kaliakatsos-Papakostas M.A., Floros A., Vrahatis M.N., evoDrummer: Deriving rhythmic patterns through interactive genetic algorithms, Lecture Notes in Computer Science (LNCS), vol.7834, pp.25-36, Springer, 2013.  (PDF)
    V62. Kotsireas I.S., Parsopoulos K.E., Piperagkas G.S., Vrahatis M.N., Ant-based approaches for solving autocorrelation problems, Lecture Notes in Computer Science (LNCS), vol.7461, pp.220-227, Springer, 2012.  (PDF)
    V61. Kaliakatsos-Papakostas M.A., Epitropakis M.G., Floros A., Vrahatis M.N., Interactive evolution of 8-bit melodies with genetic programming towards finding aesthetic measures for sound, Lecture Notes in Computer Science (LNCS), vol.7247, pp.141-152, Springer, 2012.  (PDF)
    V60. Epitropakis M.G., Tasoulis D.K., Pavlidis N.G., Plagianakos V.P., Vrahatis M.N., Tracking differential evolution algorithms: An adaptive approach through multinomial distribution tracking with exponential forgetting, Lecture Notes in Computer Science (LNAI), vol.7297, pp.214-222, Springer, 2012.  (PDF)
    V59. Adam S.P., Magoulas G.D., Vrahatis M.N., Direct zero-norm minimization for neural network pruning and training, Communications in Computer and Information Science (CCIS), vol.311, pp.295-304, Springer, 2012.  (PDF)
    V58. Kaliakatsos-Papakostas M.A., Epitropakis M.G., Vrahatis M.N., Feature extraction using pitch class profile information entropy, Lecture Notes in Computer Science (LNAI), vol.6726, pp.354-357, Springer, 2011.  (PDF)
    V57. Kaliakatsos-Papakostas M.A., Epitropakis M.G., Vrahatis M.N., Weighted Markov chain model for musical composer identification, Lecture Notes in Computer Science (LNCS), vol.6625, pp.334-343, Springer, 2011.  (PDF)
    V56. Antzoulatos G.S., Vrahatis M.N., α-Clusterable sets, Lecture Notes in Computer Science (LNAI), vol.6911, pp.108-123, Springer, 2011.  (PDF)
    V55. Kaliakatsos-Papakostas M.A., Epitropakis M.G., Vrahatis M.N., Musical composer identification through probabilistic and feedforward neural networks, Lecture Notes in Computer Science (LNCS), vol.6025, pp.411-420, Springer, 2010.  (PDF)
    V54. Georgiou V.L., Malefaki S., Parsopoulos K.E., Alevizos Ph.D., Vrahatis M.N., Expeditive extensions of evolutionary Bayesian probabilistic neural networks, Lecture Notes in Computer Science (LNCS), vol.5851, pp.30-44, Springer, 2009.  (PDF)
    V53. Antzoulatos G.S., Ikonomakis E.K., Vrahatis M.N., Efficient unsupervised clustering through intelligent optimization, Artificial Intelligence and Soft Computing, M.H. Hamza (ed.), pp.21-28, IASTED/ACTA Press, Anaheim, CA, USA, 2009 [ISBN: 978-0-88986-809-0].  (PDF)
    V52. Adam S.P., Karras D.A., Vrahatis M.N., Revisiting the problem of weight initialization for multi-layer perceptrons trained with back propagation, Lecture Notes in Computer Science (LNCS), vol.5507, pp.308-315, Springer, 2009.  (PDF)
    V51. Parsopoulos K.E., Skouri K., Vrahatis M.N., Particle swarm optimization for tackling continuous review inventory models, Lecture Notes in Computer Science (LNCS), vol.4974, pp.103-112, Springer, 2008.  (PDF)
    V50. Georgiou V.L., Alevizos Ph.D., Vrahatis M.N., Fuzzy evolutionary probabilistic neural networks, Lecture Notes in Computer Science (LNAI), vol.5064, pp.113-124, Springer, 2008.  (PDF)
    V49. Tasoulis D.K., Zeimpekis D., Gallopoulos E., Vrahatis M.N., Oriented k-windows: A PCA driven clustering method, Advances in Web Intelligence and Data Mining, M. Last, P.S. Szczepaniak, Z. Volkovich and A. Kandel (eds.), Chapter 32, pp.319-328, Springer (Studies in Computational Intelligence series, vol.23), Berlin/Heidelberg, Germany, 2006 [ISBN: 978-3-540-33879-6 (Print); 978-3-540-33880-2 (Online)].   (PDF)
    V48. Tasoulis D.K., Plagianakos V.P., Vrahatis M.N., Differential evolution algorithms for finding predictive gene subsets in microarray data, IFIP International Federation for Information Processing, vol.204, Artificial Intelligence Applications and Innovations, I. Maglogiannis, K. Karpouzis and M. Bramer (eds.), pp.484-491, Springer, Boston, USA, August 2006 [ISBN: 978-0-387-34223-8].  (PDF)
    V47. Tasoulis D.K., Laskari E.C., Meletiou G.C., Vrahatis M.N., Privacy preserving unsupervised clustering over vertically partitioned data, Lecture Notes in Computer Science (LNCS), vol.3984, pp.635-643, Springer, 2006.  (PDF)
    V46. Parsopoulos K.E., Vrahatis M.N., Studying the performance of unified particle swarm optimization on the single machine total weighted tardiness problem, Lecture Notes in Computer Science (LNAI), vol.4304, pp.760-769, Springer, 2006.  (PDF)
    V45. Pavlidis N.G., Tasoulis D.K., Vrahatis M.N., Time series forecasting methodology for multiple-step-ahead prediction, Computational Intelligence, M.H. Hamza (ed.), pp.456-461, IASTED/ACTA Press, Anaheim, CA, USA, 2005 [ISBN: 0-88986-481-0].  (PDF)
    V44. Parsopoulos K.E., Vrahatis M.N., Unified particle swarm optimization for solving constrained engineering optimization problems, Lecture Notes in Computer Science (LNCS), vol.3612, pp.582-591, Springer, 2005.  (PDF)
    V43. Parsopoulos K.E., Vrahatis M.N., Unified particle swarm optimization in dynamic environments, Lecture Notes in Computer Science (LNCS), vol.3449, pp.590-599, Springer, 2005.  (PDF)
    V42. Magoulas G.D., Vrahatis M.N., Parameter optimization algorithm with improved convergence properties for adaptive learning, Frontiers of Computational Science, G. Maroulis and Th. Simos (eds.), Lecture Series on Computer and Computational Sciences, vol.3, pp.384-398, Brill Academic Publishers, Leiden, The Netherlands, 2005 [ISBN: 90-6764-442-0].  (PDF)
    V41. Tasoulis D.K., Vrahatis M.N., Unsupervised distributed clustering, Parallel and Distributed Computing and Networks, M.H. Hamza (ed.), pp.347-351, IASTED/ACTA Press, Anaheim, CA, USA, 2004 [ISBN: 0-88986-369-5] [ISSN: 1925-7937].  (PDF)
    V40. Tasoulis D.K., Vladutu L., Plagianakos V.P., Bezerianos A., Vrahatis M.N., Online neural network training for automatic ischemia episode detection, Lecture Notes in Computer Science (LNAI), vol.3070, pp.1062-1068, Springer, May 2004.  (PDF)
    V39. Petalas Y.G., Tasoulis D.K., Vrahatis M.N., Dynamic search trajectory methods for neural network training, Lecture Notes in Computer Science (LNAI), vol.3070, pp.241-246, Springer, May 2004.  (PDF)
    V38. Petalas Y.G., Tasoulis D.K., Vrahatis M.N., Trajectory methods for neural network training, Artificial Intelligence and Applications, M.H. Hamza (ed.), vol.1, pp.400-408, IASTED/ACTA Press, Anaheim, CA, USA, 2004 [ISBN: 0-88986-404-7] [ISSN: 1027-2666].  (PDF)
    V37. Parsopoulos K.E., Tasoulis D.K., Vrahatis M.N., Multiobjective optimization using parallel vector evaluated particle swarm optimization, Artificial Intelligence and Applications, M.H. Hamza (ed.), vol.2, pp.823-828, IASTED/ACTA Press, Anaheim, CA, USA, 2004 [ISBN: 0-88986-404-7] [ISSN: 1027-2666].  (PDF)
    V36. Parsopoulos K.E., Papageorgiou E.I., Groumpos P.P., Vrahatis M.N., Evolutionary computation techniques for optimizing fuzzy cognitive maps in radiation therapy systems, Lecture Notes in Computer Science (LNCS), vol.3102, pp.402-413, Springer, May 2004.  (PDF)
    V35. Papageorgiou E.I., Parsopoulos K.E., Groumpos P.P., Vrahatis M.N., Fuzzy cognitive maps learning through swarm intelligence, Lecture Notes in Computer Science (LNAI), vol.3070, pp.344-349, Springer, May 2004.  (PDF)
    V34. Laskari E.C., Meletiou G.C., Vrahatis M.N., The discrete logarithm problem as an optimization task: A first study, Artificial Intelligence and Applications, M.H. Hamza (ed.), vol.2, pp.817-822, IASTED/ACTA Press, Anaheim, CA, USA, 2004 [ISBN: 0-88986-404-7] [ISSN: 1027-2666].  (PDF)
    V33. Alevizos P., Tasoulis D.K., Vrahatis M.N., Parallelizing the unsupervised k-windows clustering algorithm, Lecture Notes in Computer Science (LNCS), vol.3019, pp.225-232, Springer, April 2004.  (PDF)
    V32. Tasoulis D.K., Spyridonos P., Pavlidis N.G., Cavouras D., Ravazoula P., Nikiforidis G., Vrahatis M.N., Urinary bladder tumor grade diagnosis using on-line trained neural networks, Lecture Notes in Computer Science (LNAI), vol.2773, pp.199-206, Springer, October 2003.  (PDF)
    V31. Tasoulis D.K., Alevizos P., Boutsinas B., Vrahatis M.N., Parallel unsupervised k-windows: An efficient parallel clustering algorithm, Lecture Notes in Computer Science (LNCS), vol.2763, pp.336-344, Springer, August 2003.  (PDF)
    V30. Grapsa T.N., Vrahatis M.N., Dimension reducing methods for systems of nonlinear equations and unconstrained optimization: A review, Recent Advances in Mechanics and Related Fields – Volume in Honour of Professor Constantine L. Goudas, G.A. Katsiaris, V.V. Markellos and J.D. Hadjidemetriou (eds.), pp.343-353, University of Patras Press, Patras, Greece, 2003.  (PDF)
    V29. Antonopoulos Ch., Skokos Ch., Bountis T.C., Vrahatis M.N., A fast and reliable method for distinguishing regular from chaotic motion in Hamiltonian systems, Recent Advances in Mechanics and Related Fields – Volume in Honour of Professor Constantine L. Goudas, G.A. Katsiaris, V.V. Markellos and J.D. Hadjidemetriou (eds.), pp.325-333, University of Patras Press, Patras, Greece, 2003.  (PDF)
    V28. Parsopoulos K.E., Vrahatis M.N., Particle swarm optimizer in nonsmooth problems, Nonsmooth/Nonconvex Mechanics with Applications in Engineering, in Memoriam of Professor P.D. Panagiotopoulos, C.C. Baniotopoulos (ed.), pp.73-80, Editions ZITI, Thessaloniki, Greece, 2002 [ISBN: 960-431-786-5].  (LINK)
    V27. Parsopoulos K.E., Vrahatis M.N., Particle swarm optimization method for constrained optimization problems, Intelligent Technologies–Theory and Applications: New Trends in Intelligent Technologies, P. Sincak, J. Vascak, V. Kvasnicka and J. Pospichal (eds.), pp.214-220, IOS Press (Frontiers in Artificial Intelligence and Applications series, vol.76), Fairfax, VA, USA, 2002 [ISBN: 1-58603-256-9].  (PDF)
    V26. Parsopoulos K.E., Vrahatis M.N., Initializing the particle swarm optimizer using the nonlinear simplex method, Advances in Intelligent Systems, Fuzzy Systems, Evolutionary Computation, A. Grmela and N.E. Mastorakis (eds.), pp.216-221, World Scientific and Engineering Academy and Society Press, Stevens Point, WI, USA, 2002 [ISBN: 960-8052-49-1].  (PDF)
    V25. Parsopoulos K.E., Vrahatis M.N., Particle swarm optimization for imprecise problems, Scattering and Biomedical Engineering: Modeling and Applications, D. Fotiadis and C. Massalas (eds.), pp.254-264, World Scientific Publishing, Danvers, MA, USA, August 2002 [ISBN 981-238-054-X].  (PDF)
    V24. Parsopoulos K.E., Vrahatis M.N., Particle Swarm Optimizer in noisy and continuously changing environments, Artificial Intelligence and Soft Computing, M.H. Hamza (ed.), pp.289-294, IASTED/ACTA Press, Anaheim, CA, USA, 2001 [ISBN: 0-88986-283-4] [ISSN: 1482-7913].  (PDF)
    V23. Parsopoulos K.E., Vrahatis M.N., Modification of the particle swarm optimizer for locating all the global minima, Artificial Neural Nets and Genetic Algorithms, V. Kurkova, N.C. Steele, R. Neruda and M. Karny (eds.), pp.324-327, Springer-Verlag (Computer Science series), Wien, Austria, 2001 [ISBN 3-211-83651-9].  (PDF)  (PS)
    V22. Parsopoulos K.E., Laskari E.C., Vrahatis M.N., Solving L1 norm errors-in-variables problems using particle swarm optimizer, Artificial Intelligence and Applications, M.H. Hamza (ed.), pp.185-190, IASTED/ACTA Press, Anaheim, CA, USA, 2001 [ISBN: 0-88986-301-6] [ISSN: 1482-7913].  (PDF)
    V21. Magoulas G.D., Plagianakos V.P., Vrahatis M.N., Improved neural network-based interpretation of colonoscopy images through on-line learning and evolution, Adaptive Systems and Hybrid Computational Intelligence in Medicine, G.D. Dounias and D.A. Linkens (eds.), pp.38-43, European Network of Excellence on Intelligent Technologies for Smart Adaptive Systems, Published by the University of the Aegean, Chios, Greece, 2001 [ISBN: 960-7475-19-4]; also in Proceedings of the European Symposium on Intelligent Technologies, Hybrid Systems and their Implementation on Smart Adaptive Systems (EUNITE 2001), December 13-14, 2001, Tenerife, Spain, pp.402-407, 2001. The paper at hand won the third prize award of the Medical and Health Care Committee at this European Symposium.  (PDF)
    V20. Magoulas G.D., Plagianakos V.P., Androulakis G.S., Vrahatis M.N., A framework for the development of globally convergent adaptive learning rate algorithms, Progress in Computer Research, F.H. Columbus (ed.), vol.2, pp.41-50, Nova Science Publishers, Commack, NY, USA, 2001 [ISBN: 1-59033-011-0]. (LINK)
    V19. Adamopoulos A., Boutsinas B., Vrahatis M.N., Anninos P., Analysis of normal and pathological fetal magnetocardiograms using clustering algorithms, Adaptive Systems and Hybrid Computational Intelligence in Medicine, G.D. Dounias and D.A. Linkens (eds.), pp.90-95, European Network of Excellence on Intelligent Technologies for Smart Adaptive Systems, Published by the University of the Aegean, Chios, Greece, 2001 [ISBN: 960-7475-19-4]; also in Proceedings of the European Symposium on Intelligent Technologies, Hybrid Systems and their Implementation on Smart Adaptive Systems (EUNITE 2001), December 13-14, 2001, Tenerife, Spain, pp.454-459, 2001.  (PDF)
    V18. Vrahatis M.N., Ragos O., Zafiropoulos F.A., Triantafyllou E.C., On the computation of all equilibrium points in Hamiltonian systems with three degrees of freedom, Hamiltonian Systems with Three or More Degrees of Freedom, NATO Advanced Science Institutes series, Series C: Mathematical and Physical Sciences, vol.533, C. Simó (ed.), Chapter 94, pp.638-641, Springer Science+Business Media Dordrecht, The Netherlands, June 1999 [ISBN: 978-94-010-5968-8 (Print); 978-94-011-4673-9 (Online)].  (PDF)
    V17. Vrahatis M.N., Ragos O., Androulakis G.S., A method for computing families of periodic orbits based on unconstrained optimization, Hamiltonian Systems with Three or More Degrees of Freedom, NATO Advanced Science Institutes series, Series C: Mathematical and Physical Sciences, vol.533, C. Simó (ed.), Chapter 95, pp.642-645, Springer Science+Business Media Dordrecht, The Netherlands, June 1999 [ISBN: 978-94-010-5968-8 (Print); 978-94-011-4673-9 (Online)].  (PDF)
    V16. Vrahatis M.N., Bountis T.C., Kollmann M., On the computation of periodic orbits and invariant surfaces of 4-D symplectic mappings, Hamiltonian Systems with Three or More Degrees of Freedom, NATO Advanced Science Institutes series, Series C: Mathematical and Physical Sciences, vol.533, C. Simó (ed.), Chapter 93, pp.633-637, Springer Science+Business Media Dordrecht, The Netherlands, June 1999 [ISBN: 978-94-010-5968-8 (Print); 978-94-011-4673-9 (Online)].  (PDF)
    V15. Plagianakos V.P., Magoulas G.D., Androulakis G.S., Vrahatis M.N., Global search methods for neural network training, Advances in Intelligent Systems and Computer Science, N.E. Mastorakis (ed.), pp.47-52, World Scientific and Engineering Society Press, New York, NY, USA, 1999 [ISBN: 960-8052-16-5]; also in Proceedings of the Third IEEE/WSES/IMACS International Multiconference on Circuits, Systems, Communications and Computers (CSCC 1999), Dedicated to Lotfi A. Zadeh, July 4-8, 1999, Athens, Greece, pp.3651-3656, 1999.  (PDF)
    V14. Magoulas G.D., Plagianakos V.P., Androulakis G.S., Vrahatis M.N., A framework for the development of globally convergent adaptive learning rate algorithms, Advances in Intelligent Systems and Computer Science, N.E. Mastorakis (ed.), pp.207-212, World Scientific and Engineering Society Press, New York, NY, USA, 1999 [ISBN: 960-8052-16-5]; also in Proceedings of the Third IEEE/WSES/IMACS International Multiconference on Circuits, Systems, Communications and Computers (CSCC 1999), Dedicated to Lotfi A. Zadeh, July 4-8, 1999, Athens, Greece, pp.3641-3646, 1999.  (PDF)
    V13. Magoulas G.D., Karkanis S.A., Karras D.A., Vrahatis M.N., Comparison study of textural descriptors for training neural network classifiers, Computers and Computational Engineering in Control, N.E. Mastorakis (ed.), pp.193-198, World Scientific and Engineering Society Press, New York, NY, USA, 1999 [ISBN: 960-8052-12-2]; also in Proceedings of the Third IEEE/WSES/IMACS International Multiconference on Circuits, Systems, Communications and Computers (CSCC 1999), Dedicated to Lotfi A. Zadeh, July 4-8, 1999, Athens, Greece, pp.6221-6226, 1999.  (PDF)
    V12. Kavvadias D.J., Makri F.S., Vrahatis M.N., Expected behavior of bisection based methods for counting and computing the roots of a function, Advances in Intelligent Systems and Computer Science, N.E. Mastorakis (ed.), pp.99-104, World Scientific and Engineering Society Press, New York, NY, USA, 1999 [ISBN: 960-8052-16-5]; also in Proceedings of the Third IEEE/WSES/IMACS International Multiconference on Circuits, Systems, Communications and Computers (CSCC 1999), Dedicated to Lotfi A. Zadeh, July 4-8, 1999, Athens, Greece, pp.6211-6216, 1999.  (PDF)
    V11. Boutsinas B., Vrahatis M.N., Data mining using nonmonotonic connectionist expert systems, Advances in Intelligent Systems and Computer Science, N.E. Mastorakis (ed.), pp.77-84, World Scientific and Engineering Society Press, New York, NY, USA, 1999 [ISBN: 960-8052-16-5]; also in Proceedings of the Third IEEE/WSES/IMACS International Multiconference on Circuits, Systems, Communications and Computers (CSCC 1999), Dedicated to Lotfi A. Zadeh, July 4-8, 1999, Athens, Greece, pp.4991-4998, 1999.  (PDF)
    V10. Plagianakos V.P., Sotiropoulos D.G., Vrahatis M.N., Integer weight training by differential evolution algorithms, Recent Advances in Circuits and Systems, N.E. Mastorakis (ed.), pp.327-331, World Scientific Publishing, Danvers, MA, USA, 1998 [ISBN: 981-02-3644-1]; also in Proceedings of the Second IMACS International Conference on Circuits, Systems and Computers (IMACS-CSC 1998), October 26-28, 1998, Piraeus, Greece, vol.1, pp.81-85, 1998.  (PDF)
      V9.  Plagianakos V.P., Sotiropoulos D.G., Vrahatis M.N., Automatic adaptation of learning rate for backpropagation neural networks, Recent Advances in Circuits and Systems, N.E. Mastorakis (ed.), pp.337-341, World Scientific Publishing, Danvers, MA, USA, 1998 [ISBN: 981-02-3644-1]; also in Proceedings of the Second IMACS International Conference on Circuits, Systems and Computers (IMACS-CSC 1998), October 26-28, 1998, Piraeus, Greece, vol.1, pp.92-96, 1998.  (PDF)
      V8.  Magoulas G.D., Vrahatis M.N., A model for local convergence analysis of batch-type training algorithms with adaptive learning rates, Recent Advances in Circuits and Systems, N.E. Mastorakis (ed.), pp.321-326, World Scientific Publishing, Danvers, MA, USA, 1998 [ISBN: 981-02-3644-1]; also in Proceedings of the Second IMACS International Conference on Circuits, Systems and Computers (IMACS-CSC 1998), October 26-28, 1998, Piraeus, Greece, vol.1, pp.86-91, 1998.  (LINK-1) (LINK-2)
      V7.  Grapsa T.N., Androulakis G.S., Vrahatis M.N., An inexact dimension reducing method for solving systems of nonlinear equations, Recent Advances in Circuits and Systems, N.E. Mastorakis (ed.), pp.315-320, World Scientific Publishing, Danvers, MA, USA, 1998 [ISBN: 981-02-3644-1]; also in Proceedings of the Second IMACS International Conference on Circuits, Systems and Computers (IMACS-CSC 1998), October 26-28, 1998, Piraeus, Greece, vol.1, pp.66-71, 1998.  (LINK-1) (LINK-2)
      V6.  Boutsinas B., Vrahatis M.N., Nonmonotonic connectionist expert systems, Recent Advances in Circuits and Systems, N.E. Mastorakis (ed.), pp.404-412, World Scientific Publishing, Danvers, MA, USA, 1998 [ISBN: 981-02-3644-1]; also in Proceedings of the Second IMACS International Conference on Circuits, Systems and Computers (IMACS-CSC 1998), October 26-28, 1998, Piraeus, Greece, vol.1, pp.72-80, 1998.  (LINK-1) (LINK-2)
      V5.  Bountis T.C., Isliker H., Kollmann M., Vrahatis M.N., Stability and diffusion in 4-D mapping models of accelerator dynamics, Nonlinear and Stochastic Beam Dynamics in Accelerators: A Challenge to Theoretical and Computational Physics, A. Bazzani, J. Ellison, H. Mais and G. Turchetti (eds.), DESY-97-161, pp.161-182, Deutsches Elektronen-Synchrotron, Hamburg, Germany, October 1998.  (LINK-1) (LINK-2)
      V4.  Magoulas G.D., Vrahatis M.N., Grapsa T.N., Androulakis G.S., A training method for discrete multilayer neural networks, Mathematics of Neural Networks, Models, Algorithms and Applications, S.W. Ellacott, J.C. Mason and I.J. Anderson (eds.), Chapter 42, pp.250-254, Kluwer Academic Publishers (Operations Research/Computer Science Interfaces series, vol.8), Boston, USA, 1997 [ISBN: 978-0-7923-9933-9].   (PDF)
      V3.  Magoulas G.D., Vrahatis M.N., Grapsa T.N., Androulakis G.S., Neural network supervised training based on a dimension reducing method, Mathematics of Neural Networks, Models, Algorithms and Applications, S.W. Ellacott, J.C. Mason and I.J. Anderson (eds.), Chapter 41, pp.245-249, Kluwer Academic Publishers (Operations Research/Computer Science Interfaces series, vol.8), Boston, USA, 1997 [ISBN: 978-0-7923-9933-9].   (PDF)
      V2.  Vrahatis M.N., A generalized bisection method for large and imprecise problems, Scientific Computing and Validated Numerics, G. Alefeld, A. Frommer and B. Lang (eds.), Chapter 23, pp.186-192, Akademie Verlag (Mathematical Research series, vol.90), Berlin, Germany, March 1996 [ISBN: 3-05-501737-4].   (LINK-1) (LINK-2)
      V1.  Vrahatis M.N., Bountis T.C., An efficient method for computing periodic orbits of conservative dynamical systems, Hamiltonian Mechanics: Integrability and Chaotic Behavior, NATO Advanced Science Institutes series, Series B, vol.331, J. Seimenis (ed.), Chapter 21, pp.261-274, Plenum Press, New York, NY, USA, 1994 [ISBN: 978-0-306-44808-9].   (PDF)

  5. Refereed Conference Proceedings (C)

    C172. Ikonomakis E.K., Bourdakou M.M., Kolios G., Vrahatis M.N., Spyrou G.M., Computational insights on the molecular mechanisms across breast cancer progression combining gene differential expression and co-expression, Proceedings of the IEEE-EMBS International Conference on Biomedical and Health Informatics (BHI 2021), July 27-30, 2021, Athens, Greece, pp.1-5, IEEE 2021.  (PDF)
    C171. Alexandropoulos S.-A.N., Kotsiantis S.B., Piperigou V.E., Vrahatis M.N., A new ensemble method for outlier identification, Proceedings of the IEEE Tenth International Conference on Cloud Computing, Data Science & Engineering (Confluence 2020), January 29-31, 2020, Noida, Uttar Pradesh, India, pp.786-791, IEEE 2020.  (PDF)
    C170. Temponeras G.S., Alexandropoulos S.-A.N., Kotsiantis S.B., Vrahatis M.N., Financial fraudulent statements detection through a deep dense artificial neural network, Proceedings of the IEEE Tenth International Conference on Information, Intelligence, Systems and Applications (IISA 2019), July 15-17, 2019, Patras, Greece, art.no.8900741, pp.1-5, IEEE 2019.  (PDF)
    C169. Lipitakis A.-D., Antzoulatos G.S., Kotsiantis S.B., Vrahatis M.N., Integrating global and local boosting, Proceedings of the IEEE Sixth International Conference on Information, Intelligence, Systems and Applications (IISA 2015), July 6-8, 2015, Ionian University, Corfu, Greece, IEEE 2015.  (PDF)
    C168. Dukov N.T., Ganchev T.D., Kovachev D.M., Vrahatis M.N., Population size tradeoffs in DE and PSO-based methods for PNN training, Proceedings of the International Scientific Conference (UNITECH 2015), November 20-21, 2015, Gabrovo, Bulgaria, pp.I-441—I-446, 2015.  (PDF)
    C167. Adam S.P., Karras D.A., Magoulas G.D., Vrahatis M.N., Reliable estimation of a neural network's domain of validity through interval analysis based inversion, Proceedings of the International Joint Conference on Neural Networks (IJCNN 2015), July 12-17, 2015, Killarney, Ireland, IEEE 2015.  (PDF)
    C166. Kontogiorgos P., Vrahatis M.N., Papavassilopoulos G.P., Interval analysis to address uncertainty in multicriteria energy market clearance, Proceedings of the Ninth Mediterranean Conference on Power Generation, Transmission, Distribution and Energy Conversion (MedPower 2014), November 2-5, 2014, Athens, Greece.  (PDF)
    C165. Kontogiorgos P., Sarri E., Vrahatis M.N., Papavassilopoulos G.P., An energy market Stackelberg game solved with particle swarm optimization, Proceedings of the Sixth Conference on Numerical Analysis (NumAn 2014), September 2-5, 2014, Chania, Greece, G.D. Akrivis, V.A. Dougalis, E. Gallopoulos, A. Hadjidimos, I.S. Kotsireas, C. Makridakis and Y.G. Saridakis (eds.), pp.161-166, September 2014 [ISBN: 978-960-8475-21-2].  (PDF)
    C164. Meletiou G.C., Alexandropoulos S.-A.N., Vrahatis M.N., Comparative e-evaluations gathering in open and distance learning, in Greek, Proceedings of the Seventh International Conference in Open and Distance Learning (ICODL 2013), ‘Learning Methodologies’, November 8-10, 2013, Athens, Greece, A. Lionarakis (ed.), Vol.5, Part B, pp.159-164, Hellenic Open University, OPENET, Athens, Greece, December 2013 [ISBN: 978-618-81051-5-7].  (PDF)
    C163.   Ikonomakis E.K., Spyrou G.M., Ligomenides P.A., Vrahatis M.N., Performance evaluation of clustering algorithms on microcalcifications as mammography findings, Proceedings of the IEEE Thirteenth International Conference on BioInformatics and BioEngineering (BIBE 2013), November 10-13, 2013, Chania, Greece, art.no.6701550, pp.1-4, IEEE 2013.  (PDF)
    C162.   Kaliakatsos-Papakostas M.A., Floros A., Vrahatis M.N., Intelligent real-time music accompaniment for constraint-free improvisation, Proceedings of the IEEE Twenty-fourth International Conference on Tools with Artificial Intelligence (ICTAI 2012), November 7-9, 2012, Athens, Greece, pp.444-451, IEEE 2012.  (PDF)
    C161. Kaliakatsos-Papakostas M.A., Floros A., Vrahatis M.N., Music synthesis based on nonlinear dynamics, Proceedings of the Mathematics, Music, Art, Architecture, Culture (Bridges 2012), July 25-29, 2012, Towson, MD, USA, pp.467-470, 2012.  (PDF)
    C160. Kaliakatsos-Papakostas M.A., Floros A., Vrahatis M.N., Intelligent generation of rhythmic sequences using finite L-systems, Proceedings of the Eighth International Conference on Intelligent Information Hiding and Multimedia Signal Processing (IIH-MSP 2012), July 18-20, 2012, Piraeus, Greece, art.no.6274273, pp.424-427, IEEE 2012.  (PDF)
    C159. Kaliakatsos-Papakostas M.A., Floros A., Kanellopoulos N., Vrahatis M.N., Real-time drums transcription with characteristic bandpass filtering, Proceedings of the Seventh Audio Mostly Conference on Interaction with Sound (AM 2012), September 26-28, 2012, Corfu, Greece, pp.152-159, ACM 2012.  (PDF)
    C158. Kaliakatsos-Papakostas M.A., Floros A., Kanellopoulos N., Vrahatis M.N., Genetic evolution of L and FL-systems for the production of rhythmic sequences, Proceedings of the Genetic and Evolutionary Computation Conference (GECCO 2012), July 7-11, 2012, Philadelphia, PA, USA, pp.461-468, ACM 2012.  (PDF)
    C157. Epitropakis M.G., Tasoulis D.K., Pavlidis N.G., Plagianakos V.P., Vrahatis M.N., Tracking particle swarm optimizers: An adaptive approach through multinomial distribution tracking with exponential forgetting, Proceedings of the IEEE Congress on Evolutionary Computation (CEC 2012), June 10-15, 2012, Brisbane, Australia, art.no.6256425, pp.1-8, IEEE 2012 [ISBN: 978-1-4673-1510-4].  (PDF)
    C156. Epitropakis M.G., Plagianakos V.P., Vrahatis M.N., Multimodal optimization using niching differential evolution with index-based neighborhoods, Proceedings of the IEEE Congress on Evolutionary Computation (CEC 2012), June 10-15, 2012, Brisbane, Australia, art.no.6256480, pp.1-8, IEEE 2012.  (PDF)
    C155. Meletiou G.C., Vasiliadis D., Stergiou E., Vrahatis M.N., Dynamic self-evaluation in ODL, in Greek, Proceedings of the Sixth International Conference in Open and Distance Learning (ICODL 2011), ‘Alternative Forms of Education’, November 4-6, 2011, Loutraki, Greece, pp.85-90, Hellenic Open University, 2011.  (PDF)
    C154. Epitropakis M.G., Plagianakos V.P., Vrahatis M.N., Finding multiple global optima exploiting differential evolution's niching capability, Proceedings of the IEEE Symposium on Differential Evolution (SDE 2011), IEEE Symposium Series on Computational Intelligence (IEEE SSCI 2011), April 11-15, 2011, Paris, France, art.no.5952058, pp.80-87, IEEE 2011.  (PDF)
    C153. Epitropakis M.G., Plagianakos V.P., Vrahatis M.N., Evolving cognitive and social experience in particle swarm optimization through differential evolution, Proceedings of the IEEE Congress on Evolutionary Computation (CEC 2010), July 18-23, 2010, Barcelona, Spain, art.no.5585967, pp.1-8, IEEE 2010 [ISBN: 978-1-4244-6909-3].  (PDF)
    C152. Vrahatis M.N., Galanis V.I., Meletiou G.C., Adaptive open and distance learning through dynamic electronic evaluation, in Greek, Proceedings of the Fifth International Conference on Open and Distance Learning (ICODL 2009), ‘Open and Distance Education for Global Collaboration and Educational Development’, November 27-29, 2009, Athens, Greece, pp.144-150, Hellenic Open University, 2009.  (PDF)
    C151. Galanis V.I., Laskari E.C., Meletiou G.C., Vrahatis M.N., E-evaluation in open and distance learning environments, Proceedings of the International Conference on Information Technologies (InfoTech 2009), September 17-20, 2009, Varna, Bulgaria, pp.28-33, 2009.  (PDF)
    C150. Epitropakis M.G., Plagianakos V.P., Vrahatis M.N., Evolutionary adaptation of the differential evolution control parameters, Proceedings of the IEEE Congress on Evolutionary Computation (CEC 2009), May 18-21, 2009, Trondheim, Norway, art.no.4983102, pp.1359-1366, IEEE 2009.  (PDF)
    C149. Adam S.P., Karras D.A., Vrahatis M.N., A data mining approach in the analysis of the weight space of multilayer perceptron solving complex real world tasks, Proceedings of the Ninth Industrial Conference on Data Mining (ICDM 2009), July 20-22, 2009, Leipzig, Germany, Advances in Data Mining, P. Perner (ed.), pp.38-52, IbaI Publishing, 2009 [ISBN: 978-3-940501-05-9].  (PDF)
    C148. Pavlidis N.G., Adamopoulos A.V., Vrahatis M.N., Recognizing predictive patterns in chaotic maps, Proceedings of the First International Workshop on Combinations of Intelligent Methods and Applications (CIMA 2008), in conjunction with the 18th European Conference on Artificial Intelligence (ECAI 2008), July 21-22, 2008, Patras, Greece, I. Hatzilygeroudis, C. Koutsojannis and V. Palade (eds.), vol.375, pp.43-48, CEUR Workshop Proceedings, RWTH Aachen University, Aachen, Germany, 2008 [ISSN: 1613-0073].  (PDF)
    C147. Parsopoulos K.E., Georgopoulos V.C., Vrahatis M.N., A technique for the visualization of population-based algorithms, Proceedings of the IEEE Congress on Evolutionary Computation (CEC 2008), June 1-6, 2008, Hong Kong, China, art.no.4631018, pp.1694-1701, IEEE 2008.  (PDF)
    C146. Klamargias A.D., Parsopoulos K.E., Alevizos Ph.D., Vrahatis M.N., Particle filtering with particle swarm optimization in systems with multiplicative noise, Proceedings of the Genetic and Evolutionary Computation Conference (GECCO 2008), July 12-16, 2008, Atlanta, GA, USA, pp.57-62, ACM 2008 [ISBN:978-1-60558-130-9].  (PDF)
    C145. Epitropakis M.G., Plagianakos V.P., Vrahatis M.N., Non-monotone differential evolution, Proceedings of the Genetic and Evolutionary Computation Conference (GECCO 2008), July 12-16, 2008, Atlanta, Georgia, USA, pp.527-528, ACM 2008 [ISBN: 978-1-60558-131-6].  (PDF)
    C144. Epitropakis M.G., Plagianakos V.P., Vrahatis M.N., Balancing the exploration and exploitation capabilities of the differential evolution algorithm, Proceedings of the IEEE Congress on Evolutionary Computation (CEC 2008), June 1-6, 2008, Hong Kong, China, art.no.4631159, pp.2686-2693, IEEE 2008 [ISBN: 978-1-4244-1822-0].  (PDF)
    C143. Petalas Y.G., Parsopoulos K.E., Vrahatis M.N., Entropy-based memetic particle swarm optimization for computing periodic orbits of nonlinear mappings, Proceedings of the IEEE Congress on Evolutionary Computation (CEC 2007), September 25-28, 2007, Singapore, art.no.442472, pp.2040-2047, IEEE 2007 [ISBN: 1-4244-1340-0].  (PDF)
    C142. Petalas Y.G., Parsopoulos K.E., Papageorgiou E.I., Groumpos P.P., Vrahatis M.N., Enhanced learning in fuzzy simulation models using memetic particle swarm optimization, Proceedings of the Fourth IEEE Swarm Intelligence Symposium (SIS 2007), April 1-5, 2007, Honolulu, HI, USA, art.no.4223150, pp.16-22, IEEE 2007 [ISBN: 1-4244-0708-7].  (PDF)
    C141. Petalas Y.G., Antonopoulos C.G., Bountis T.C., Vrahatis M.N., Detecting resonances in conservative maps using evolutionary algorithms, in Greek, Proceedings of the 20th Summer School – Conference on Nonlinear Science and Complexity, July 19-31, 2007, Patras, Greece, T.C. Bountis (ed.), pp.1-19, 2007.  (PDF)
    C140. Pavlidis N.G., Pavlidis E.G., Epitropakis M.G., Plagianakos V.P., Vrahatis M.N., Computational intelligence algorithms for risk-adjusted trading strategies, Proceedings of the IEEE Congress on Evolutionary Computation (CEC 2007), September 25-28, 2007, Singapore, art.no.4424517, pp.540-547, IEEE 2007 [ISBN: 1-4244-1340-0].  (PDF)
    C139. Petalas Y.G., Tsitouras Ch., Androulakis G.S., Vrahatis M.N., Evolutionary generation of Runge-Kutta pairs, Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2006), September 15-19, 2006, Hersonissos, Crete, Greece, pp.433-437, Wiley-VCH Verlag, Weinheim, Germany, 2006.  (PDF)
    C138. Petalas Y.G., Tsitouras Ch., Androulakis G.S., Vrahatis M.N., Generating symmetric composition methods through memetic algorithms, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2006), October 27-November 1, 2006, Chania, Greece, Lecture Series on Computer and Computational Sciences, vol.7, Brill Academic Publishers, Leiden, The Netherlands, 2006.  (PDF)
    C137. Petalas Y.G., Antonopoulos C.G., Bountis T.C., Vrahatis M.N., Detecting resonances using evolutionary algorithms, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2006), October 27-November 1, 2006, Chania, Greece, Lecture Series on Computer and Computational Sciences, vol.7, Brill Academic Publishers, Leiden, The Netherlands, 2006.  (PDF)
    C136. Pavlidis N.G., Tasoulis D.K., Plagianakos V.P., Vrahatis M.N., Computational intelligence methods for timeseries prediction, in Greek, Proceedings of the Eighteen Panhellenic Conference on non-linear dynamics, chaos and complexity, July 18-30, 2005, Volos, Greece, Order and Chaos in Nonlinear Dynamical Systems, vol.9, honoring Professor John D. Hadjidemetriou, T. Bountis and N. Vlachos (eds.), pp.355-362, University of Thessali Press, 2006.  (PDF)
    C135. Pavlidis N.G., Plagianakos V.P., Tasoulis D.K., Vrahatis M.N., Human designed vs. genetically programmed differential evolution operators, Proceedings of the IEEE Congress on Evolutionary Computation (CEC 2006), July 16-21, 2006, Vancouver, BC, Canada, art.no.1688536, pp.1880-1886, IEEE 2006 [ISBN: 0-7803-9487-9].  (PDF)
    C134. Pavlidis N.G., Pavlidis E.G., Vrahatis M.N., Optimizing trading strategies through genetic programming, Proceedings of the 93rd International Conference Exchange Rate and Risk Econometrics, Applied Econometrics Association (AEA), October 19-20, 2006, Athens, Greece, 2006.  (PDF-1) (PDF-2)
    C133. Pavlidis N.G., Pavlidis E.G., Vrahatis M.N., Genetically programmed trading rules for the foreign exchange market, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2006), October 27-November 1, 2006, Chania, Greece, Lecture Series on Computer and Computational Sciences, vol.7, Brill Academic Publishers, Leiden, The Netherlands, 2006.  (PDF)
    C132. Laskari E.C., Meletiou G.C., Vrahatis M.N., Utilizing evolutionary computation methods for the design of S-boxes, Proceedings of the IEEE International Conference on Computational Intelligence and Security (CIS 2006), November 3-6, 2006, Guangzhou, China, vol.2, art.no.4076173, pp.1299-1302, IEEE 2006 [ISBN: 1-4244-0605-6].  (PDF)
    C131. Laskari E.C., Meletiou G.C., Vrahatis M.N., Designing S-boxes through evolutionary computation, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2006), October 27-November 1, 2006, Chania, Greece, Lecture Series on Computer and Computational Sciences, vol.7, Brill Academic Publishers, Leiden, The Netherlands, 2006.  (PDF)
    C130. Kotsireas I.S., Koukouvinos C., Parsopoulos K.E., Vrahatis M.N., Unified particle swarm optimization for Hadamard matrices of Williamson type, Proceedings of the First International Conference on Mathematical Aspects of Computer and Information Sciences (MACIS 2006), July 24-26, 2006, Beijing, China, D.-M. Wang and Z.-M. Zheng (eds.), pp.113-121, 2006.  (PDF)
    C129. Ikonomakis E.K., Tasoulis D.K., Vrahatis M.N., Density based text clustering, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2006), October 27-November 1, 2006, Chania, Greece, Lecture Series on Computer and Computational Sciences, vol.7, Brill Academic Publishers, Leiden, The Netherlands, 2006.  (PDF)
    C128. Georgiou V.L., Malefaki S.N., Alevizos Ph.D., Vrahatis M.N., Evolutionary Bayesian probabilistic neural networks, Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2006), September 15-19, 2006, Hersonissos, Crete, Greece, pp.393-396, Wiley-VCH Verlag, Weinheim, Germany, 2006.  (PDF)
    C127. Georgiou V.L., Alevizos Ph.D., Vrahatis M.N., New techniques for improving the efficiency of evolutionary probabilistic neural networks, in Greek, Proceedings of the 19th Hellenic Statistical Conference, April 26-29, 2006, Kastoria, Greece, pp.165-172, Hellenic Statistical Institute, Athens, Greece, 2006.  (PDF)
    C126. Georgiou V.L., Alevizos Ph.D., Vrahatis M.N., Incorporating fuzzy membership functions into evolutionary probabilistic neural networks, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2006), October 27-November 1, 2006, Chania, Greece, Lecture Series on Computer and Computational Sciences, vol.7, Brill Academic Publishers, Leiden, The Netherlands, pp.157-160, 2006.  (PDF)
    C125. Galanis V.I., Laskari E.C., Meletiou G.C., Vrahatis M.N., Lattice basis reduction through evolutionary computation, Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2006), September 15-19, 2006, Hersonissos, Crete, Greece, 2006.
    C124. Epitropakis M.G., Plagianakos V.P., Vrahatis M.N., Integer weight higher-order neural network training using distributed differential evolution, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2006), October 27-November 1, 2006, Chania, Greece, Lecture Series on Computer and Computational Sciences, vol.7, Brill Academic Publishers, Leiden, The Netherlands, 2006.  (PDF)
    C123. Epitropakis M.G., Plagianakos V.P., Vrahatis M.N., Higher-order neural networks training using differential evolution, Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2006), September 15-19, 2006, Hersonissos, Crete, Greece, pp.376-379, Wiley-VCH Verlag, Weinheim, Germany, 2006.  (PDF)
    C122. Antonopoulos C.G., Petalas Y.G., Bountis T.C., Vrahatis M.N., Estimation of dynamic aperture of symplectic maps using evolutionary algorithms, in Greek, Proceedings of the Eighteen Panhellenic Conference on non-linear dynamics, chaos and complexity, July 18-30, 2005, Volos, Greece, Order and Chaos in Nonlinear Dynamical Systems, vol.9, honoring Professor John D. Hadjidemetriou, T. Bountis and N. Vlachos (eds.), pp.195-208, University of Thessali Press, Volos, Greece, 2006.  (PDF)
    C121. Vrahatis M.N., Tsirogiannis G.A., Laskari E.C., New orbit based symmetric cryptosystem, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2005), October 21-26, 2005, Loutraki, Greece, Lecture Series on Computer and Computational Sciences, vol.4, pp.1432-1435, Brill Academic Publishers, Leiden, The Netherlands, 2005 [ISBN: 90-6764-444-7].   (LINK)
    C120. Tasoulis D.K., Vrahatis M.N., The new window density function for efficient evolutionary unsupervised clustering, Proceedings of the IEEE Congress on Evolutionary Computation (CEC 2005), September 2-5, 2005, Edinburgh, UK, vol.3, art.no.1554992, pp.2388-2394, IEEE 2005 [ISBN: 0-7803-9363-5].  (PDF)
    C119. Tasoulis D.K., Plagianakos V.P., Vrahatis M.N., Efficient evolutionary unsupervised clustering, Proceedings of the Fifth annual UK Workshop on Computational Intelligence (UKCI-05), September 5-7, 2005, University of London, London, UK, B. Mirkin and G. Magoulas (eds.), pp.234-242, 2005.  (PDF)
    C118. Tasoulis D.K., Plagianakos V.P., Vrahatis M.N., Clustering in evolutionary algorithms to efficiently compute simultaneously local and global minima, Proceedings of the IEEE Congress on Evolutionary Computation (CEC 2005), September 2-5, 2005, Edinburgh, UK, vol.2, art.no.1554912, pp.1847-1854, IEEE 2005 [ISBN: 0-7803-9363-5].  (PDF)
    C117. Tasoulis D.K., Drossos L., Vrahatis M.N., Unsupervised clustering under parallel and distributed computing environments, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2005), October 21-26, 2005, Loutraki, Greece, Lecture Series on Computer and Computational Sciences, vol.4, pp.1428-1431, Brill Academic Publishers, Leiden, The Netherlands, 2005 [ISBN: 90-6764-444-7].   (LINK)
    C116. Plagianakos V.P., Tasoulis D.K., Vrahatis M.N., Hybrid dimension reduction approach for gene expression data classification, Gene Expression Data IEEE International Joint Conference on Neural Networks, Post-Conference Workshop on Computational Intelligence Approaches for the Analysis of Bioinformatics Data (CI-BIO 2005), August 5, 2005, Montréal, Québec, Canada, 2005.
    C115. Plagianakos V.P., Tasoulis D.K., Vrahatis M.N., Computational intelligence techniques for acute leukemia gene expression data classification, Proceedings of the IEEE International Joint Conference on Neural Networks (IJCNN 2005), July 31-August 4, 2005, Montréal, Québec, Canada, vol.4, art.no.1556290, pp.2469-2474, IEEE 2005 [ISBN: 0-7803-9048-2].  (PDF)
    C114. Petalas Y.G., Papageorgiou E.I., Parsopoulos K.E., Groumpos P.P., Vrahatis M.N., Interval cognitive maps, Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2005), September 16-20, 2005, Rhodes, Greece, pp.882-885, Wiley-VCH Verlag, Weinheim, Germany, 2005 [ISBN: 3-527-40652-2].  (PDF)
    C113. Petalas Y.G., Papageorgiou E.I., Parsopoulos K.E., Groumpos P.P., Vrahatis M.N., Fuzzy cognitive maps learning using memetic algorithms, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2005), October 21-26, 2005, Loutraki, Greece, Lecture Series on Computer and Computational Sciences, vol.4, pp.1420-1423, Brill Academic Publishers, Leiden, The Netherlands, 2005 [ISBN: 90-6764-444-7].  (PDF)
    C112. Pavlidis N.G., Tasoulis D.K., Plagianakos V.P., Siriopoulos C., Vrahatis M.N., Computational intelligence methods for financial forecasting, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2005), October 21-26, 2005, Loutraki, Greece, Lecture Series on Computer and Computational Sciences, vol.4, pp.1416-1419, Brill Academic Publishers, Leiden, The Netherlands, 2005 [ISBN: 90-6764-444-7].   (LINK) (PDF)
    C111. Pavlidis N.G., Tasoulis D.K., Plagianakos V.P., Nikiforidis G., Vrahatis M.N., Spiking neural network training using evolutionary algorithms, Proceedings of the IEEE International Joint Conference on Neural Networks (IJCNN 2005), July 31-August 4, 2005, Montréal, Québec, Canada, vol.4, art.no.1556240, pp.2190-2194, IEEE 2005 [ISBN: 0-7803-9048-2].  (PDF)
    C110. Parsopoulos K.E., Vrahatis M.N., Unified particle swarm optimization for tackling operations research problems, Proceedings of the IEEE Swarm Intelligence Symposium (SIS 2005), June 8-10, 2005, Pasadena, CA, USA, art.no.1501602, pp.53-59, IEEE 2005 [ISBN: 0-7803-8916-6].  (PDF)
    C109. Laskari E.C., Meletiou G.C., Stergiou E., Vrahatis M.N., Electronic evaluation in open and distance education, in Greek, Proceedings of the Third International Conference on Open and Distance Learning (ICODL 2005), ‘Applications of Pedagogy and Technology’ Hellenic Open University, Hellenic Network of Open and Distance Education, November 11-13, 2005, Patras, Greece, A. Lionarakis (ed.), vol.1, pp.497-507, Propobos Publications, Greece, 2005 [ISBN: 960-7860-53-5] [SET: 960-7860-52-7].  (PDF)
    C108. Georgiou V.L., Pavlidis N.G., Alevizos Ph.D., Vrahatis M.N., Differential evolution probabilistic neural networks, in Greek, Proceedings of the 18th Hellenic Statistical Conference, May 4-7, 2005, Rhodes, Greece, pp.81-88, Hellenic Statistical Institute, Athens, Greece, 2005.  (PDF)
    C107. Adamopoulos A.V., Pavlidis N.G., Vrahatis M.N., Genetic algorithm evolution of cellular automata rules for complex binary sequence prediction, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2005), October 21-26, 2005, Loutraki, Greece, Lecture Series on Computer and Computational Sciences, vol.4, pp.1424-1427, Brill Academic Publishers, Leiden, The Netherlands, 2005 [ISBN: 90-6764-444-7].   (LINK) (PDF)
    C106. Adamopoulos A.V., Likothanassis S., Pavlidis N.G., Vrahatis M.N., Short-term prediction of complex binary data, Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2005), September 16-20, 2005, Rhodes, Greece, pp.872-875, Wiley-VCH Verlag, Weinheim, Germany, 2005 [ISBN: 3-527-40652-2].  (PDF)
    C105. Tasoulis D.K., Vrahatis M.N., Unsupervised clustering using semi-algebraic data structures, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2004), November 19-23, 2004, Vouliagmeni, Athens, Greece, pp.884-887, VSP International Science Publishers (Lecture Series on Computer and Computational Sciences, vol.1), Zeist, The Netherlands, 2004 [ISBN: 9067644188].
    C104. Tasoulis D.K., Plagianakos V.P., Vrahatis M.N., Unsupervised cluster analysis in bioinformatics, Proceedings of the Fourth European Symposium on Biomedical Engineering, June 25-27, 2004, Patras, Greece, 2004.  (PDF)
    C103. Tasoulis D.K., Plagianakos V.P., Vrahatis M.N., Unsupervised clustering of bioinformatics data, Proceedings of the European Symposium on Intelligent Technologies, Hybrid Systems and their Implementation on Smart Adaptive Systems (EUNITE 2004), June 10-12, 2004, Aachen, Germany, pp.47-53, 2004.  (PDF)
    C102. Tasoulis D.K., Pavlidis N.G., Plagianakos V.P., Vrahatis M.N., Parallel differential evolution, Proceedings of the IEEE Congress on Evolutionary Computation (CEC 2004), June 19-23, 2004, Portland, OR, USA, vol.2, art.no.1331145, pp.2023-2029, IEEE 2004 [ISBN: 0-7803-8515-2].  (PDF)
    C101. Skokos Ch., Parsopoulos K.E., Patsis P.A., Vrahatis M.N., Tracing periodic orbits in 3D galactic potentials by the particle swarm optimization method, Proceedings of the First International Conference From Scientific Computing to Computational Engineering (IC-SCCE 2004), September 8-10, 2004, Athens, Greece, pp.1292-1298, 2004 [ISBN: 690-530-071-0].  (PDF)
    C100. Petalas Y.G., Vrahatis M.N., Memetic algorithms for neural network training on medical data, Proceedings of the Fourth European Symposium on Biomedical Engineering, June 25-27, 2004, Patras, Greece, 2004.  (PDF)
      C99. Petalas Y.G., Vrahatis M.N., Memetic algorithms for neural network training in bioinformatics, Proceedings of the European Symposium on Intelligent Technologies, Hybrid Systems and their Implementation on Smart Adaptive Systems (EUNITE 2004), June 10-12, 2004, Aachen, Germany, pp.41-46, 2004.  (PDF)
      C98. Petalas Y.G., Vrahatis M.N., Parallel tangent methods with variable stepsize, Proceedings of the IEEE International Joint Conference on Neural Networks (IJCNN 2004), July 25-29, 2004, Budapest, Hungary, vol.2, art.no.1380081, pp.1063-1066, IEEE 2004 [ISBN: 0-7803-8359-1] [ISSN: 1098-7576].  (PDF)
      C97. Petalas Y.G., Vrahatis M.N., Trajectory methods for supervised learning, Proceedings of the First International Conference From Scientific Computing to Computational Engineering (IC-SCCE 2004), September 8-10, 2004, Athens, Greece, CD-ROM, 2004.   (PDF)
      C96. Pavlidis N.G., Vrahatis M.N., Mossay P., Economic geography: Existence, uniqueness, and computation of short-run equilibria, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2004), November 19-23, 2004, Vouliagmeni, Athens, Greece, pp.880-883, VSP International Science Publishers (Lecture Series on Computer and Computational Sciences, vol.1), Zeist, The Netherlands, 2004 [ISBN: 9067644188].
      C95. Pavlidis N.G., Vrahatis M.N., Time series forecasting using computational intelligence methods, Proceedings of the First International Conference From Scientific Computing to Computational Engineering (IC-SCCE 2004), September 8-10, 2004, Athens, Greece, CD-ROM, 2004.   (PDF)
      C94. Parsopoulos K.E., Vrahatis M.N., UPSO: A unified particle swarm optimization scheme, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2004), November 19-23, 2004, Vouliagmeni, Athens, Greece, pp.868-873, VSP International Science Publishers (Lecture Series on Computer and Computational Sciences, vol.1), Zeist, The Netherlands, 2004 [ISBN: 9067644188].  (PDF)
      C93. Parsopoulos K.E., Tasoulis D.K., Pavlidis N.G., Plagianakos V.P., Vrahatis M.N., Vector evaluated differential evolution for multiobjective optimization, Proceedings of the IEEE Congress on Evolutionary Computation (CEC 2004), June 19-23, 2004, Portland, OR, USA, vol.1, art.no.1330858, pp.204-211, IEEE 2004 [ISBN: 0-7803-8515-2] [IEEE Catalog Number: 04TH8753C].  (PDF)
      C92. Parsopoulos K.E., Papageorgiou E.I., Groumpos P.P., Vrahatis M.N., Recent advances in fuzzy cognitive maps learning using evolutionary computation techniques, Proceedings of the First International Conference From Scientific Computing to Computational Engineering (IC-SCCE 2004), September 8-10, 2004, Athens, Greece, CD-ROM, 2004.   (PDF)
      C91. Parsopoulos K.E., Kontogianni V.A., Pytharouli S.I., Psimoulis P.A., Stiros S.C., Vrahatis M.N., Optimal fitting of curves in monitoring data using the L1, L2 and L∞ norms, Proceedings of the INGEO 2004 and FIG Regional Central and Eastern European Conference on Engineering Surveying, November 11-13, 2004, Bratislava, Slovakia, pp.1-9, 2004.  (PDF)
      C90. Parsopoulos K.E., Kontogianni V.A., Pytharouli S.I., Psimoulis P.A., Stiros S.C., Vrahatis M.N., Nonlinear data fitting for landslides modeling, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2004), November 19-23, 2004, Vouliagmeni, Athens, Greece, pp.874-879, VSP International Science Publishers (Lecture Series on Computer and Computational Sciences, vol.1), Zeist, The Netherlands, 2004 [ISBN: 9067644188].
      C89. Mourrain B., Pavlidis N.G., Tasoulis D.K., Vrahatis M.N., Computing the number of real roots of polynomials through neural networks, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2004), September 10-14, 2004, Chalkis, Greece, pp.276-279, Wiley-VCH Verlag, Weinheim, Germany, 2004 [ISBN: 3-527-40563-1].
      C88. Magoulas G.D., Plagianakos V.P., Tasoulis D.K., Vrahatis M.N., Tumor detection in colonoscopy using the unsupervised k-windows clustering algorithm and neural networks, Proceedings of the Fourth European Symposium on Biomedical Engineering, June 25-27, 2004, Patras, Greece, 2004.  (PDF)
      C87. Laskari E.C., Meletiou G.C., Vrahatis M.N., Inverse interpolation over finite fields, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2004), September 10-14, 2004, Chalkis, Greece, pp.228-231, Wiley-VCH Verlag, Weinheim, Germany, 2004 [ISBN: 3-527-40563-1].
      C86. Laskari E.C., Meletiou G.C., Vrahatis M.N., Recent approaches to electronic data gathering with privacy, Proceedings of the First International Conference From Scientific Computing to Computational Engineering (IC-SCCE 2004), September 8-10, 2004, Athens, Greece, CD-ROM, 2004.   (PDF)
      C85. Laskari E.C., Meletiou G.C., Stamatiou Y.C., Vrahatis M.N., Applying evolutionary computation methods for the cryptanalysis of Feistel ciphers, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2004), November 19-23, 2004, Vouliagmeni, Athens, Greece, pp.864-867, VSP International Science Publishers (Lecture Series on Computer and Computational Sciences, vol.1), Zeist, The Netherlands, 2004 [ISBN: 9067644188].
      C84. Laskari E.C., Meletiou G.C., Stamatiou Y.C., Vrahatis M.N., Assessing the effectiveness of artificial neural networks on problems related to elliptic curve cryptography, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2004), November 19-23, 2004, Vouliagmeni, Athens, Greece, pp.860-863, VSP International Science Publishers (Lecture Series on Computer and Computational Sciences, vol.1), Zeist, The Netherlands, 2004 [ISBN: 9067644188].
      C83. Georgiou V.L., Pavlidis N.G., Parsopoulos K.E., Alevizos Ph.D., Vrahatis M.N., Evolutionary adaptive schemes of probabilistic neural networks, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2004), November 19-23, 2004, Vouliagmeni, Athens, Greece, pp.852-855, VSP International Science Publishers (Lecture Series on Computer and Computational Sciences, vol.1), Zeist, The Netherlands, 2004 [ISBN: 9067644188].   (PDF)
      C82. Georgiou V.L., Pavlidis N.G., Parsopoulos K.E., Alevizos Ph.D., Vrahatis M.N., Optimizing the performance of probabilistic neural networks in a bioinformatics task, Proceedings of the European Symposium on Intelligent Technologies, Hybrid Systems and their Implementation on Smart Adaptive Systems (EUNITE 2004), June 10-12, 2004, Aachen, Germany, pp.34-40, 2004.  (PDF)
      C81. Georgiou V.L., Pavlidis N.G., Alevizos Ph.D., Vrahatis M.N., Self-adaptive probabilistic neural networks, in Greek, Proceedings of the 17th Hellenic Statistical Conference, April 14-18, 2004, Lefkada, Greece, pp.93-100, Hellenic Statistical Institute, Athens, Greece, 2004.  (PDF)
      C80. Ganchev T.D., Facotakis N.D., Tasoulis D.K., Vrahatis M.N., Generalized locally recurrent probabilistic neural networks for text-independent speaker verification, Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2004), May 17-21, 2004, Montreal, Quebec, Canada, vol.1, art.no.1325917, pp.41-44, IEEE 2004 [ISBN: 0-7803-8484-9].  (PDF)
      C79. Bartz-Beielstein Th., Parsopoulos K.E., Vrahatis M.N., Analysis of particle swarm optimization using computational statistics, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2004), September 10-14, 2004, Chalkis, Greece, T.E. Simos and Ch. Tsitouras (eds.), pp.34-37, Wiley-VCH Verlag, Weinheim, Germany, 2004 [ISBN: 3-527-40563-1].  (PDF)
      C78. Anastasiadis A.D., Magoulas G.D., Vrahatis M.N., A globally convergent Jacobi-bisection method for neural network training, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2004), November 19-23, 2004, Vouliagmeni, Athens, Greece, pp.843-848, VSP International Science Publishers (Lecture Series on Computer and Computational Sciences, vol.1), Zeist, The Netherlands, 2004 [ISBN: 9067644188].
      C77. Anastasiadis A.D., Magoulas G.D., Vrahatis M.N., A new learning rates adaptation strategy for the resilient propagation algorithm, Proceedings of the 12th European Symposium on Artificial Neural Networks (ESANN 2004), April 28-30, 2004, Bruges, Belgium, pp.1-6, 2004 [ISBN: 2-930307-04-8].  (PDF)
      C76. Skokos Ch., Antonopoulos C., Bountis T.C., Vrahatis M.N., Smaller alignment index (SALI): Determining the order or chaotic nature of orbits in conservative dynamical systems, Proceedings of the Seventh International Conference on Libration Point Orbits and Applications (LibPoint 2002), June 10-14, 2002, Aiguablava, Spain, G. Gómez, M.W. Lo and J.J. Masdemont (eds.), pp.653-664, World Scientific Publishing, River Edge, NJ, USA, 2003.  (PDF) preprint color version: (PDF)
      C75. Polymilis C., Servizi G., Skokos Ch., Turchetti G., Vrahatis M.N., Locating periodic orbits by Topological Degree theory, Proceedings of the Seventh International Conference on Libration Point Orbits and Applications (LibPoint 2002), June 10-14, 2002, Aiguablava, Spain, G. Gómez, M.W. Lo and J.J. Masdemont (eds.), pp.665-676, World Scientific Publishing, River Edge, NJ, USA, 2003.  (PDF)
      C74. Plagianakos V.P., Magoulas G.D.,Vrahatis M.N., On-line neural network training, in Greek, Proceedings of the Ninth Panhellenic Conference/Fourteen Summer School on non-linear dynamics, chaos and complexity, July 23- August 2, 2001, Patras, Greece, Order and Chaos in Nonlinear Dynamical Systems, T. Bountis, S. Ichtiaroglou and S. Pnevmatikos (eds.), vol.8, pp.329-340, K. Sfakianaki Editions, Thessaloniki, 2003 [SET: 960-7258-16-9] [ISBN: 960-87136-2-5].  (PDF)
      C73. Pavlidis N.G., Tasoulis D.K., Vrahatis M.N., Financial forecasting through unsupervised clustering and evolutionary trained neural networks, Proceedings of the Congress on Evolutionary Computation (CEC 2003), December 8-12, 2003, Canberra, Australia, vol.4, art.no.1299377, pp.2314-2321, IEEE 2003 [ISBN: 0-7803-7804-0].  (PDF)
      C72. Pavlidis N.G., Parsopoulos K.E., Vrahatis M.N., Computing Nash equilibria through particle swarm optimization, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2003), September 12-16, 2003, Kastoria, Greece, pp.484-489, World Scientific Publishing Co., River Edge, NJ, USA, 2003 [ISBN: 981-238-595-9].  (PDF)
      C71. Parsopoulos K.E., Vrahatis M.N., Investigating the existence of function roots using particle swarm optimization, Proceedings of the IEEE Congress on Evolutionary Computation (CEC 2003), December 8-12, 2003, Canberra, Australia, vol.2, art.no.1299841, pp.1448-1455, IEEE 2003 [ISBN: 0-7803-7804-0] [IEEE Catalog Number: 03TH8674].  (PDF)
      C70. Parsopoulos K.E. and Vrahatis M.N., Computing periodic orbits of nondifferentiable/discontinuous mappings through particle swarm optimization, Proceedings of the IEEE Swarm Intelligence Symposium (SIS 2003), April 24-26, 2003, Indianapolis, IN, USA, art.no.1202244, pp.34-41, IEEE 2003 [ISBN: 0-7803-7914-4].  (PDF)
      C69. Parsopoulos K.E., Papageorgiou E.I., Groumpos P.P., Vrahatis M.N., A first study of fuzzy cognitive maps learning using particle swarm optimization, Proceedings of the IEEE Congress on Evolutionary Computation (CEC 2003), December 8-12, 2003, Canberra, Australia, vol.2, art.no.1299840, pp.1440-1447, IEEE 2003 [ISBN: 0-7803-7804-0] [IEEE Catalog Number: 03TH8674].  (PDF)
      C68. Parsopoulos K.E., Laskari E.C., Vrahatis M.N., Particle identification by light scattering through evolutionary algorithms, Proceedings of the First International Conference on Mathematics and Informatics for Industry (MII 2003), April 14-16, 2003, Thessaloniki, Greece, pp.97-108, 2003.  (PDF)
      C67. Laskari E.C., Meletiou G.C., Tasoulis D.K., Vrahatis M.N., Data mining and cryptology, Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2003), September 12-16, 2003, Kastoria, Greece, pp.346-349, World Scientific Publishing Co., River Edge, NJ, USA, 2003 [ISBN: 981-238-595-9].  (PDF)
      C66. Georgiou V.L., Alevizos Ph.D., Vrahatis M.N., Algorithm for improving the efficiency of probabilistic neural networks, in Greek, Proceedings of the 16th Hellenic Statistical Conference, April 30- May 3, 2003, Kavala, Greece, pp.113-120, Hellenic Statistical Institute, Athens, Greece, 2003.  (LINK)
      C65. Ganchev T.D., Tasoulis D.K., Vrahatis M.N., Facotakis N.D., Locally recurrent probabilistic neural networks for text-independent speaker verification, Proceedings of the Eighth European Conference on Speech Communication and Technology (EuroSpeech 2003), September 1-4, 2003, Geneva, Switzerland, vol.3, pp.1673-1676, 2003.  (PDF)
      C64. Bartz-Beielstein Th., Limbourg Ph., Mehnen J., Schmitt K., Parsopoulos K.E., Vrahatis M.N., Particle swarm optimizers for Pareto optimization with enhanced archiving techniques, Proceedings of the IEEE Congress on Evolutionary Computation (CEC 2003), December 8-12, 2003, Canberra, Australia, vol.3, art.no.1299888, pp.1780-1787, IEEE 2003 [ISBN: 0-7803-7804-0] [IEEE Catalog Number: 03TH8674].  (PDF)
      C63. Anastasiadis A.D., Magoulas G.D., Vrahatis M.N., An efficient improvement of the Rprop algorithm, Proceedings of the First International Association of Pattern Recognition-TC3 Workshop (IAPR 2003), Artificial Neural Networks in Pattern Recognition (ANNPR 2003), September 12-13, 2003, Florence, Italy, M. Gori and S. Marinai (eds.), pp.197-201, 2003.  (PDF)
      C62. Vrahatis M.N., Magoulas G.D., Plagianakos V.P., Introduction to artificial neural networks, in Greek, Proceedings of the Eighth Panhellenic Conference/Thirteen Summer School on non-linear dynamics, chaos and complexity, July 17-28, 2000, Patras, Greece, Order and Chaos in Nonlinear Dynamical Systems, T. Bountis, D. Ellinas and I. Grispolakis (eds.), vol.7, pp.225-247, G.A. Pnevmatikos Publications, Athens, Greece, 2002.  (PDF)
      C61. Sotiropoulos D.G., Plagianakos V.P., Vrahatis M.N., An evolutionary algorithm for minimizing multimodal functions, Proceedings of the Fifth Hellenic European Conference on Computer Mathematics and its Applications (HERCMA 2001), September 20-22, 2001, Athens, Greece, E.A. Lipitakis (ed.), vol.2, pp.496-500, L.E.A. Press, Athens, Greece, 2002 [ISBN: 960-85-176-7-2].  (PDF)
      C60. Skokos Ch., Antonopoulos C., Bountis T.C., Vrahatis M.N., Smaller alignment index (SALI): Detecting order and chaos in conservative dynamical systems, Proceedings of the Fourth GRACM Congress on Computational Mechanics (GRACM 2002), June 27-29, 2002, Patras, Greece, D.T. Tsahalis (ed.), vol.4, pp.1496-1502, 2002.  (PDF)
      C59. Parsopoulos K.E., Vrahatis M.N., Computing periodic orbits of nonlinear mappings through particle swarm optimization, Proceedings of the Fourth GRACM Congress on Computational Mechanics (GRACM 2002) (CD-ROM), June 27-29, 2002, Patras, Greece, 2002.
      C58. Parsopoulos K.E., Vrahatis M.N., Particle swarm optimization method in multiobjective problems, Proceedings of the ACM Symposium on Applied Computing (SAC 2002), March 10-14, 2002, Madrid, Spain, pp.603-607, ACM 2002 [ISBN: 1-58113-445-2].  (PDF)
      C57. Meletiou G.C., Tasoulis D.K., Vrahatis M.N., A first study of the neural network approach in problems related to cryptography, Proceedings of the International Conference on Financial Engineering, E-commerce and Supply Chain, and Strategies of Development (FEES 2002), June 10-12, 2002, Athens, Greece, 2002.
      C56. Meletiou G.C., Tasoulis D.K., Vrahatis M.N., A first study of the neural network approach to the RSA cryptosystem, Proceedings of the Sixth IASTED International Conference on Artificial Intelligence and Soft Computing (ASC 2002), Special Session: Artificial Intelligence and Soft Computing for Information Security, July 17-19, 2002, Banff, Alberta, Canada, pp.483-488, 2002.  (PDF)
      C55. Laskari E.C., Parsopoulos K.E., Vrahatis M.N., Particle swarm optimization for integer programming, Proceedings of the IEEE Congress on Evolutionary Computation (CEC 2002), May 12-17, 2002, Honolulu, HI, USA, vol.2, art.no.1004478, pp.1582-1587, IEEE 2002 [ISBN: 0-7803-7282-4] [ISSN: 1098-7576] [IEEE Catalog Number: 02CH37290].  (PDF)
      C54. Laskari E.C., Parsopoulos K.E., Vrahatis M.N., Particle swarm optimization for minimax problems, Proceedings of the IEEE Congress on Evolutionary Computation (CEC 2002), May 12-17, 2002, Honolulu, HI, USA, vol.2, art.no.1004477, pp.1576-1581, IEEE 2002 [ISBN: 0-7803-7282-4] [ISSN: 1098-7576] [IEEE Catalog Number: 02CH37290].  (PDF)
      C53. Kavvadias D.J., Makri F.S., Vrahatis M.N., Expected behavior of bisection based methods for counting and computing the roots of a function, Proceedings of the Fifth Hellenic European Conference on Computer Mathematics and its Applications (HERCMA 2001), September 20-22, 2001, Athens, Greece, E.A. Lipitakis (ed.), vol.2, pp.474-479, L.E.A. Press, Athens, Greece, 2002 [ISBN: 960-85-176-7-2].
      C52. Georgiou V.L., Alevizos Ph.D., Vrahatis M.N., Comparison of statistical methods and artificial neural networks with application in medicine, in Greek, Proceedings of the 15th Hellenic Statistical Conference, May 8-11, 2002, Ioannina, Greece, pp.152-160, Hellenic Statistical Institute, Athens, Greece, 2002.  (LINK)
      C51. Emiris I.Z., Mourrain B., Vrahatis M.N., Sign methods for enumerating solutions of nonlinear algebraic systems, Proceedings of the Fifth Hellenic European Conference on Computer Mathematics and its Applications (HERCMA 2001), September 20-22, 2001, Athens, Greece, E.A. Lipitakis (ed.), vol.2, pp.469-473, L.E.A. Press, Athens, Greece, 2002 [ISBN: 960-85-176-7-2].  (PDF)
      C50. Bountis T.C., Skokos Ch., Vrahatis M.N., Computation and stability of periodic orbits of nonlinear mappings, Proceedings of the Fourth GRACM Congress on Computational Mechanics (GRACM 2002), June 27-29, 2002, Patras, Greece, D.T. Tsahalis (ed.), vol.2, pp.562-570, 2002.  (PDF)
      C49. Alevizos P., Boutsinas B., Tasoulis D.K., Vrahatis M.N., Improving the orthogonal range search k-windows algorithm, Proceedings of the 14th IEEE International Conference on Tools with Artificial Intelligence (ICTAI 2002), November 4-6, 2002, Washington DC, USA, art.no.1180810, pp.239-245, IEEE 2002 [ISBN: 0-7695-1849-4].  (PDF)
      C48. Adamopoulos A.V., Likothanassis S.D., Vrahatis M.N., Evolutionary algorithms to analyze nonlinear timeseries, Proceedings of the Fourth GRACM Congress on Computational Mechanics (GRACM 2002) (CD-ROM), June 27-29, 2002, Patras, Greece, 2002.
      C47. Adamopoulos A.V., Boutsinas B., Vrahatis M.N., Anninos P.A., Analysis of epileptic magnetoencephalogram dynamics through clustering algorithms, Proceedings of the 14th IEEE International Conference on Digital Signal Processing (DSP 2002), July 1-3, 2002, Santorini, Greece, vol.2, art.no.1028163, pp.607-610, IEEE 2002 [ISBN: 0-7803-7503-3].  (PDF)
      C46. Plagianakos V.P., Magoulas G.D., Vrahatis M.N., Tumor detection in colonoscopic images using hybrid methods for on-line neural network training, Proceedings of the Fourth International Conference on Neural Networks and Expert Systems in Medicine and Healthcare (NNESMED 2001), June 20-22, 2001, Milos Island, Greece, G.M. Papadourakis (ed.), pp.59-65, Technological Educational Institute of Crete, Heraklion, Greece, 2001 [ISBN 960-85316-5-9].  (PDF)
      C45. Plagianakos V.P., Magoulas G.D., Nousis N.K., Vrahatis M.N., Training multilayer networks with discrete activation functions, Proceedings of the INNS-IEEE International Joint Conference on Neural Networks (IJCNN 2001), July 15-19, 2001, Washington DC, USA, vol.4, art.no.938819, pp.2805-2810, IEEE 2001 [ISBN: 0-7803-7044-9].  (PDF)
      C44. Plagianakos V.P., Magoulas G.D., Nousis N.K., Vrahatis M.N., PVM-based training of large neural architectures, Proceedings of the INNS-IEEE International Joint Conference on Neural Networks (IJCNN 2001), July 15-19, 2001, Washington DC, USA, vol.4, art.no.938777, pp.2584-2589, IEEE 2001 [ISBN: 0-7803-7044-9].  (PDF)
      C43. Parsopoulos K.E., Plagianakos V.P., Magoulas G.D., Vrahatis M.N., Stretching technique for obtaining global minimizers through particle swarm optimization, Proceedings of the Particle Swarm Optimization Workshop (PSOW 2001), April 6-7, 2001, Indianapolis, IN, USA, pp.22-29, 2001.  (PDF)
      C42. Magoulas G.D., Plagianakos V.P., Vrahatis M.N., Hybrid methods using evolutionary algorithms for on-line training, Proceedings of the INNS-IEEE International Joint Conference on Neural Networks (IJCNN 2001), July 15-19, 2001, Washington DC, USA, vol.3, art.no.938511, pp.2218-2223, IEEE 2001 [ISBN: 0-7803-7044-9].  (PDF)
      C41. Vrahatis M.N., Magoulas G.D., Plagianakos V.P., Neural network supervised trained as a minimization problem, in Greek, Proceedings of the Seventh Panhellenic Conference/Twelveth Summer School on non-linear dynamics, chaos and complexity, July 14-24, 1999, Patras, Greece, Dynamical Systems: Order and Chaos, vol.6, G.A. Pnevmatikos Publications, Athens, Greece, pp.243-262, 2000.  (PDF)
      C40. Vrahatis M.N., Magoulas G.D., Parsopoulos K.E., Plagianakos V.P., Introduction to artificial neural network training and applications, Proceedings of the 15th Annual Conference of Hellenic Society for Neuroscience (Neuroscience 2000), October 27-29, 2000, Patras, Greece.  (PDF)
      C39. Plagianakos V.P., Vrahatis M.N., Training neural networks with threshold activation functions and constrained integer weights, Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks (IJCNN 2000), Neural Computing: New Challenges and Perspectives for the New Millennium, July 24-27, 2000, Como, Italy, vol.5, art.no.861451, pp.161-166, IEEE 2000 [ISBN: 0-7695-0619-4].  (PDF)
      C38. Perdiou A.E., Papadakis K., Perdios E.A., Kalantonis V.S. and Vrahatis M.N., Symmetric periodic orbits in molecular systems, in Greek, Proceedings of the Seventh Panhellenic Conference/Twelveth Summer School on non-linear dynamics, chaos and complexity, July 14-24, 1999, Patras, Greece, Dynamical Systems: Order and Chaos, vol.6, G.A. Pnevmatikos Publications, Athens, Greece, pp.399-403, 2000.
      C37. Magoulas G.D., Plagianakos V.P., Vrahatis M.N., Development and convergence analysis of training algorithms with local learning rate adaptation, Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks (IJCNN 2000), Neural Computing: New Challenges and Perspectives for the New Millennium, July 24-27, 2000, Como, Italy, vol.1, art.no.857808, pp.21-26, IEEE 2000 [ISBN: 0-7695-0619-4].  (PDF)
      C36. Magoulas G.D., Plagianakos V.P., Vrahatis M.N., Global learning rate adaptation in on-line neural network training, Proceedings of the Second International ICSC Symposium on Neural Computation (NC 2000), May 23-26, 2000, Berlin, Germany.  (PDF)
      C35. Vrahatis M.N., Magoulas G.D., Plagianakos V.P., Convergence analysis of the Quickprop method, Proceedings of the IEEE International Joint Conference on Neural Networks (IJCNN 1999), July 10-16, 1999, Washington DC, USA, vol.2, art.no.831132, pp.1209-1214, IEEE 1999 [ISBN: 0-7803-5529-6].  (PDF)
      C34. Vrahatis M.N., The topological degree and its computation, in Greek, Proceedings of the Sixth Panhellenic Conference/Eleventh Summer School on non-linear dynamics, complexity and chaos, July 13-25, 1998, Livadeia, Greece, Dynamical Systems, vol.5, G.A. Pnevmatikos Publications, Athens, Greece, pp.81-105, 1999.
      C33. Plagianakos V.P., Vrahatis M.N., Magoulas G.D., Nonmonotone methods for backpropagation training with adaptive learning rate, IEEE Proceedings of the International Joint Conference on Neural Networks (IJCNN 1999), July 10-16, 1999, Washington DC, USA, vol.3, art.no.832644, pp.1762-1767, IEEE 1999 [ISBN: 0-7803-5529-6].  (PDF)
      C32. Plagianakos V.P., Vrahatis M.N., Training neural networks with 3-bit integer weights, Proceedings of the Genetic and Evolutionary Computation Conference (GECCO 1999), July 13-17, 1999, Orlando, FL, USA, W. Banzhaf, J. Daida, A.E. Eiben, M.H. Garzon, V. Honavar, M. Jakiela and R.E. Smith (eds.), vol.1, pp.910-915, Morgan Kaufmann Publishers, San Francisco, CA, USA, 1999.  (PDF)
      C31. Plagianakos V.P., Vrahatis M.N., Neural network training with constrained integer weights, Proceedings of the IEEE Congress of Evolutionary Computation (CEC 1999), July 6-9, 1999, Washington DC, USA, vol.3, art.no.785521, pp.2007-2013, IEEE 1999 [ISBN: 0-7803-5536-9].  (PDF)
      C30. Plagianakos V.P., Magoulas G.D., Vrahatis M.N., Optimization strategies and backpropagation neural networks, Proceedings of the Seventh Hellenic Conference on Informatics (HCI 1999), August 26-29, Ioannina, Greece, D.I. Fotiadis and S.D. Nikolopoulos (eds.), pp.v88-v95, 1999.  (PDF)
      C29. Plagianakos V.P., Magoulas G.D., Vrahatis M.N., Nonmonotone learning rules for backpropagation networks, Proceedings of the Sixth IEEE International Conference on Electronics, Circuits and Systems (ICECS 1999), September 5-8, 1999, Pafos, Cyprus, vol.1, art.no.812280, pp.291-294, IEEE 1999 [ISBN: 0-7803-5682-9].  (PDF)
      C28. Magoulas G.D., Vrahatis M.N., Analysis and synthesis of a class of neural network training algorithms derived by one-dimensional subminimization methods, Proceedings of the Fifth International Conference of the Decision Sciences Institute, July 4-7, 1999, Athens, Greece, Integrating technology and human decisions: Global bridges into the 21st century, D.K. Despotis and C. Zopounidis (eds.), Athens, Greece, vol.1, pp.512-514, 1999 [ISBN: 096-67118-1-5].
      C27. Magoulas G.D., Plagianakos V.P., Vrahatis M.N., Effective neural network training with a different learning rate for each weight, Proceedings of the Sixth IEEE International Conference on Electronics, Circuits and Systems (ICECS 1999), September 5-8, 1999, Pafos, Cyprus, vol.1, art.no.812354, pp.591-594, IEEE 1999 [ISBN: 0-7803-5682-9].  (PDF)
      C26. Magoulas G.D., Plagianakos V.P., Vrahatis M.N., Sign-methods for training with imprecise error function and gradient values, Proceedings of the IEEE International Joint Conference on Neural Networks (IJCNN 1999), July 10-16, 1999, Washington DC, USA, vol.3, art.no.832645, pp.1768-1773, IEEE 1999 [ISBN: 0-7803-5529-6].  (PDF)
      C25. Oyelami B.O., Ale S.O., Sesay M.S., Vrahatis M.N., An iterative scheme for solution of impulsive differential equations, Proceedings of the Annual Conference of Nigerian Mathematical Association, September 3-7, 1998, University of Jos, Jos, Plateau State, Nigeria, 1998.
      C24. Magoulas G.D., Vrahatis M.N., New optimization algorithms for the efficient training of artificial neural networks, Proceedings of the Fourth Hellenic European Conference on Computer Mathematics and its Applications (HERCMA 1998), September 24-26, 1998, Athens, Greece, E.A. Lipitakis (ed.), pp.209-216, L.E.A. Press, Athens, Greece, 1998 [ISBN: 960-85176-7-2].
      C23. Zafiropoulos F.A., Ragos O., Vrahatis M.N., Linearized viscoelastic wave propagation, Proceedings of the Sixth International Colloquium on Differential Equations, August 18-23, 1995, Plovdiv, Bulgaria, D. Bainov (ed.), pp.417-423, VSP International Science Publishers, Zeist, The Netherlands, 1996 [ISBN: 90-6764-203-7].  (LINK)
      C22. Zafiropoulos F.A., Grapsa T.N., Ragos O., Vrahatis M.N., On the computation of zeros of Bessel and Bessel-related functions, Proceedings of the Sixth International Colloquium on Differential Equations, August 18-23, 1995, Plovdiv, Bulgaria, D. Bainov (ed.), pp.409-416, VSP International Science Publishers, Zeist, The Netherlands, 1996 [ISBN: 90-6764-203-7].  (LINK)
      C21. Vrahatis M.N., Kavvadias D.J., Expected behavior of bisection based methods for counting and computing all the roots of a function, Proceedings of the Sixth International Colloquium on Differential Equations, August 18-23, 1995, Plovdiv, Bulgaria, D. Bainov (ed.), pp.353-360, VSP International Science Publishers, Zeist, The Netherlands, 1996 [ISBN: 90-6764-203-7].  (LINK)
      C20. Vrahatis M.N., Bountis T.C., Periodic orbits and invariant surfaces of nonlinear mappings, Proceedings of the Sixth International Colloquium on Differential Equations, August 18-23, 1995, Plovdiv, Bulgaria, D. Bainov (ed.), pp.345-352, VSP International Science Publishers, Zeist, The Netherlands, 1996 [ISBN: 90-6764-203-7].  (LINK)
      C19. Vrahatis M.N., Generalized bisection methods for imprecise problems, Proceedings of the Sixth International Colloquium on Differential Equations, August 18-23, 1995, Plovdiv, Bulgaria, D. Bainov (ed.), pp.337-344, VSP International Science Publishers, Zeist, The Netherlands, 1996 [ISBN: 90-6764-203-7].  (LINK)
      C18. Ragos O., Vrahatis M.N., Zafiropoulos F.A., The computation of equilibrium points of up-to-three dimensional dynamical systems using the topological degree theory, Proceedings of the Sixth International Colloquium on Differential Equations, August 18-23, 1995, Plovdiv, Bulgaria, D. Bainov (ed.), pp.221-228, VSP International Science Publishers, Zeist, The Netherlands, 1996 [ISBN: 90-6764-203-7].  (LINK)
      C17. Ragos O., Vrahatis M.N., Androulakis G.S., Methods for the computation of periodic solutions of dynamical systems, Proceedings of the Sixth International Colloquium on Differential Equations, August 18-23, 1995, Plovdiv, Bulgaria, D. Bainov (ed.), pp.213-220, VSP International Science Publishers, Zeist, The Netherlands, 1996 [ISBN: 90-6764-203-7].  (LINK)
      C16. Magoulas G.D., Vrahatis M.N., Androulakis G.S., A new method in neural network supervised training with imprecision, Proceedings of the Third IEEE International Conference on Electronics, Circuits and Systems (ICECS 1996), October 13-16, 1996, Rodos, Greece, vol.1, art.no.582805, pp.287-290, IEEE 1996.  (PDF)
      C15. Grapsa T.N., Vrahatis M.N., Zafiropoulos F.A., Accelerating the convergence of Newton's approximation scheme, Proceedings of the Sixth International Colloquium on Differential Equations, August 18-23, 1995, Plovdiv, Bulgaria, D. Bainov (ed.), pp.87-94, VSP International Science Publishers, Zeist, The Netherlands, 1996 [ISBN: 90-6764-203-7].  (LINK)
      C14. Androulakis G.S., Magoulas G.D., Vrahatis M.N., Minimization techniques in neural network supervised training, Proceedings of the Sixth International Colloquium on Differential Equations, August 18-23, 1995, Plovdiv, Bulgaria, D. Bainov (ed.), pp.9-16, VSP International Science Publishers, Zeist, The Netherlands, 1996 [ISBN: 90-6764-203-7].  (LINK)
      C13. Androulakis G.S., Grapsa T.N., Vrahatis M.N., Generating optimal Runge-Kutta methods, Proceedings of the Sixth International Colloquium on Differential Equations, August 18-23, 1995, Plovdiv, Bulgaria, D. Bainov (ed.), pp.1-7, VSP International Science Publishers, Zeist, The Netherlands, 1996 [ISBN: 90-6764-203-7].  (LINK)
      C12. Vrahatis M.N., Grapsa T.N., Androulakis G.S., Rapid composite dimension-reducing methods for unconstrained optimization, Eighth System Modelling Control: Proceedings of the Eighth International Symposium on System Modelling Control (SMC-8), May 1-5, 1995, Zakopane, Poland, E. Kacki (ed.), pp.363-368, Lodz, Poland, 1995.
      C11. Vrahatis M.N., Androulakis G.S., Manoussakis G.E., A new unconstrained optimization method for imprecise problems, Third International Colloquium on Numerical Analysis: Invited lectures and short communications, August 13-17, 1994, Plovdiv, Bulgaria, D. Bainov and A. Dishliev (eds.), pp.185-194, Science Culture Technology Publishing, Singapore, 1995.
      C10. Ragos O., Vrahatis M.N., Zafiropoulos F.A., The topological degree for the computation of the total number of equilibrium points in ODEs, Third International Colloquium on Numerical Analysis: Invited lectures and short communications, August 13-17, 1994, Plovdiv, Bulgaria, D. Bainov and A. Dishliev (eds.), pp.147-156, Science Culture Technology Publishing, Singapore, 1995.
        C9.  Manoussakis G.E., Vrahatis M.N., Androulakis G.S., New unconstrained optimization methods based on one-dimensional rootfinding, Third International Colloquium on Numerical Analysis: Invited lectures and short communications, August 13-17, 1994, Plovdiv, Bulgaria, D. Bainov and A. Dishliev (eds.), pp.127-136, Science Culture Technology Publishing, Singapore, 1995.
        C8.  Grapsa T.N., Vrahatis M.N., Zafiropoulos F.A., A study of the performance of new Newton-like methods, Third International Colloquium on Numerical Analysis: Invited lectures and short communications, August 13-17, 1994, Plovdiv, Bulgaria, D. Bainov and A. Dishliev (eds.), pp.67-76, Science Culture Technology Publishing, Singapore, 1995.
        C7.  Grapsa T.N., Vrahatis M.N., Zafiropoulos F.A., A predictor-corrector method for systems of nonlinear algebraic and/or transcendental equations, Third International Colloquium on Numerical Analysis: Invited lectures and short communications, August 13-17, 1994, Plovdiv, Bulgaria, D. Bainov and A. Dishliev (eds.), pp.57-66, Science Culture Technology Publishing, Singapore, 1995.
        C6.  Grapsa T.N., Vrahatis M.N., Androulakis G.S., A composite dimension-reducing method for unconstrained optimization, Eighth System Modelling Control: Proceedings of the Eighth International Symposium on System Modelling Control (SMC-8), May 1-5, 1995, Zakopane, Poland, E. Kacki (ed.), pp.292-297, Lodz, Poland, 1995.
        C5.  Androulakis G.S., Vrahatis M.N., Grapsa T.N., Studying the performance of optimization methods by visualization, Eighth System Modelling Control: Proceedings of the Eighth International Symposium on System Modelling Control (SMC-8), May 1-5, 1995, Zakopane, Poland, E. Kacki (ed.), pp.60-65, Lodz, Poland, 1995.
        C4.  Androulakis G.S., Vrahatis M.N., A generator of optimal Runge-Kutta methods, Third International Colloquium on Numerical Analysis: Invited lectures and short communications, August 13-17, 1994, Plovdiv, Bulgaria, D. Bainov and A. Dishliev (eds.), pp.3-12, Science Culture Technology Publishing, Singapore, 1995.
        C3.  Ragos O., Vrahatis M.N., Zafiropoulos F.A., The topological degree for the computation of the exact number of equilibrium points of dynamical systems, Hellenic European Research on Mathematics and Informatics (HERMIS 1994): Proceedings of the Second Hellenic European Conference on Mathematics and Informatics, September 22-24, 1994, Athens, Greece, E.A. Lipitakis (ed.), vol.2, pp.533-542, Hellenic Mathematical Society, Athens, Greece, 1994.
        C2.  Grapsa T.N., Vrahatis M.N., A predictor-corrector dimension-reducing method for unconstrained optimization, Hellenic European Research on Mathematics and Informatics (HERMIS 1994): Proceedings of the Second Hellenic European Conference on Mathematics and Informatics, September 22-24, 1994, Athens, Greece, E.A. Lipitakis (ed.), vol.2, pp.969-978, Hellenic Mathematical Society, Athens, Greece, 1994.
        C1.  Androulakis G.S., Grapsa T.N., Vrahatis M.N., A rapidly convergent dimension-reducing method for unconstrained optimization, Hellenic European Research on Mathematics and Informatics (HERMIS 1994): Proceedings of the Second Hellenic European Conference on Mathematics and Informatics, September 22-24, 1994, Athens, Greece, E.A. Lipitakis (ed.), vol.2, pp.699-708, Hellenic Mathematical Society, Athens, Greece, 1994.

  6. Other Scholarly Publications (O)

    O76.   Vrahatis M.N., Generalizations of the intermediate value theorem and applications, abstract of invited talk, Computer Algebra in Scientific Computing Conference (CASC 2022), August 22–26, 2022, Gebze Technical University, Gebze, Turkey, pp.1-2, 2022.  (PDF)
    O75. Kotsireas I.S., Pardalos P.M., Semenov A., Trevena W.T., Vrahatis M.N., Survey of methods for solving systems of nonlinear equations, Part II: Optimization based approaches,, arXiv:arXiv:2208.08532v1 [cs.MS], Subjects: Computer Science > Mathematical Software (cs.MS), 17 Aug 2022.  (PDF)
    O74. Kotsireas I.S., Pardalos P.M., Semenov A., Trevena W.T., Vrahatis M.N., Survey of methods for solving systems of nonlinear equations, Part I: Root-finding approaches, arXiv:2208.08530v1 [cs.MS], Subjects: Computer Science > Mathematical Software (cs.MS) 17 Aug 2022.  (PDF)
    O73.   Vrahatis M.N., Generalizations of the intermediate value theorem for approximations of fixed points and zeroes of continuous functions, abstract of invited plenary talk, Third International Conference and Summer School on Numerical Computations: Theory and Algorithms (NUMTA 2019), dedicated to the 80th birthday of Professor Roman G. Strongin, June 15–21, 2019, Crotone, Italy, p.31, 2019.  (PDF)
    O72.   Zottou D.-N.A., Kavvadias D.J., Makri F.S., Vrahatis M.N., Algorithm 987: MANBIS — A C++ mathematical software package for locating and computing efficiently many roots of a function: Usage and practical issues, Collected Algorithms of the ACM,  file: 987.zip, userManual, 2018.  (PDF)
    O71.   Vrahatis M.N., Extensions of the Knaster-Kuratowski-Mazurkiewicz covering principle, abstract, International Conference on Topology and its Applications, July 7–11, 2018, Nafpaktos, Greece, pp.214-215, 2018.  (PDF)
    O70.   Vrahatis M.N., Generalizations of the Bolzano theorem for tackling problems with imprecise information, abstract of invited talk, Learning and Intelligent Optimization Conference (LION 12), June 10–15, 2018, Kalamata, Greece, pp.5-6, 2018.  (PDF)
    O69. Adam S.P., Meletiou G.C., Vrahatis M.N., An interval median algebra, abstract, Eleventh Summer Workshop on Interval Methods (SWIM 2018), July 25-27, 2018, University of Rostock, Rostock, Germany, E. Auer, J. Kersten and A. Rauh (eds.), pp.25-28, 2018.  (PDF)
    O68.   Vrahatis M.N., Generalizations of the Bolzano theorem, abstract of invited talk, Conference on Approximation and Optimization: Algorithms, Complexity, and Applications (CAOACA 2017), June 29–30, 2017, National and Kapodistrian University of Athens, Athens, Greece, I. Demetriou and P. Pardalos (eds.), p.3, 2017.  (PDF)
    O67.   Alexandropoulos S.-A.N., Meletiou G.C., Triantafyllou D.S., Vrahatis M.N., Bottom–up hierarchical ramp secret sharing scheme, abstract, Fourth International Conference on Operational Planning, Technological Innovations and Mathematical Applications (OPTIMA 2017), May 25–26, 2017, Hellenic Military Academy, Athens, Greece, N.J. Daras (ed.), pp.132-134, 2017.  (PDF)
    O66. Adam S.P., Karras D.A., Magoulas G.D., Vrahatis M.N., Interval methods for resolving neural computation issues, Proceedings of the Tenth Summer Workshop on Interval Methods, and the Third International Symposium on Set Membership — Applications, Reliability and Theory (SWIM-SMART 2017), June 14-16, 2017, Aerospace Research Institute, University of Manchester, Manchester, UK, pp.51-54, 2017.  (PDF)
    O65.   Krommyda I.-P., Meletiou G.C., Triantafyllou D.S., Vrahatis M.N., Cryptographic techniques for secure linear computations in the supply chain management, abstract, Third International Conference on Cryptography, Cyber Security and Information Warfare (CryCybIW 2016), May 26-27, 2016, Hellenic Military Academy, Athens, Greece, N.J. Daras (ed.), pp.144-146, 2016.  (PDF)
    O64. Hadjidimos A., Kotsireas I.S., Noutsos D., Vrahatis M.N., Preface [Special issue: NumAn 2012], Applied Numerical Mathematics, 104, pp.1-2, 2016.  (PDF)
    O63.   Alexandropoulos S.-A.N., Meletiou G.C., Triantafyllou D.S., Vrahatis M.N., Secret sharing schemes through structured matrices, abstract, Third International Conference on Cryptography, Cyber Security and Information Warfare (CryCybIW 2016), May 26-27, 2016, Hellenic Military Academy, Athens, Greece, N.J. Daras (ed.), pp.139-140, 2016.  (PDF)
    O62. Akrivis G.D., Dougalis V.A., Gallopoulos E., Hadjidimos A., Kotsireas I.S., Noutsos D., Saridakis Y.G., Vrahatis M.N., Preface [Special issue: NumAn 2014], Applied Numerical Mathematics, 104, pp.99-102, 2016.   (PDF)
    O61. Adam S.P., Karras D.A., Magoulas G.D., Vrahatis M.N., Reliable estimation of a neural network's domain of validity through interval analysis based inversion, abstract, V. Kreinovich, Interval Methods in Knowledge Representation, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 24(1), p.165, 2016.  (PDF)
    O60. Parsopoulos K.E., Skouri K., Vrahatis M.N., Unified particle swarm optimization for solving multi-item inventrory models with supplier selection, Technical Report No.TR-2015-1, Department of Computer Science and Engineering, University of Ioannina, Greece, 2015.  (PDF)
    O59.   Meletiou G.C., Triantafyllou D.S., Vrahatis M.N., Studying secret sharing schemes with matrix representations, abstract, Third International Conference on Technology Trends and Scientific Applications in Artillery and other Military Science (TTSAAMS 2015), May 5-6, 2015, Hellenic Artillery School, Athens, Greece, N.J. Daras (ed.), pp.123-124, 2015.  (PDF)
    O58.   Meletiou G.C., Alexandropoulos S.-A.N., Vrahatis M.N., Boolean functions and neural networks, abstract, Third International Conference on Technology Trends and Scientific Applications in Artillery and other Military Science (TTSAAMS 2015), May 5-6, 2015, Hellenic Artillery School, Athens, Greece, N.J. Daras (ed.), p.34, 2015.  (PDF)
    O57.   Vrahatis M.N., Sign methods for imprecise problems, abstract of invited talk, Sixth Conference on Numerical Analysis (NumAn 2014), September 2-5, 2014, Chania, Greece, G.D. Akrivis, V.A. Dougalis, E. Gallopoulos, A. Hadjidimos, I.S. Kotsireas, C. Makridakis and Y.G. Saridakis (eds.), p.6, September 2014.  (PDF)
    O56.   Veneti A.N., Meletiou G.C., Vrahatis M.N., Fractal dimension as an assessment metric for pseudorandom number generators, abstract, Second International Conference on Cryptography, Network Security and Applications in the Armed Forces (CryptAAF 2014), April 2, 2014, Hellenic Military Academy, Athens, Greece, N.J. Daras (ed.), pp.33-34, 2014.  (PDF)
    O55.   Meletiou G.C., Triantafyllou D.S., Vrahatis M.N., Orbit computations and matrix factorization in finite fields, abstract, Second International Conference on Cryptography, Network Security and Applications in the Armed Forces (CryptAAF 2014), April 2, 2014, Hellenic Military Academy, Athens, Greece, N.J. Daras (ed.), pp.50-51, 2014.  (PDF)
    O54.   Markoutis V., Meletiou G.C., Vrahatis M.N., Hierarchical secret sharing through multivariate Birkhoff interpolation, abstract, Second International Conference on Cryptography, Network Security and Applications in the Armed Forces (CryptAAF 2014), April 2, 2014, Hellenic Military Academy, Athens, Greece, N.J. Daras (ed.), p.55, 2014.  (PDF)
    O53.   Kontogiorgos P., Sarri E., Vrahatis M.N., Papavassilopoulos G.P., An energy market Stackelberg game solved with particle swarm optimization, abstract, Sixth Conference on Numerical Analysis (NumAn 2014), September 2-5, 2014, Chania, Greece, G.D. Akrivis, V.A. Dougalis, E. Gallopoulos, A. Hadjidimos, I.S. Kotsireas, C. Makridakis and Y.G. Saridakis (eds.), p.83, September 2014.  (PDF)
    O52.   Kaliakatsos-Papakostas M.A., Floros A., Vrahatis M.N., Automated horizontal orchestration based on multichannel musical recordings, Proceedings of the Audio Engineering Society (AES) 132nd Convention, April 26-29, 2012, Budapest, Hungary, Paper ID: 38, pp.1-10, 2012.  (PDF)
    O51. Akrivis G.D., Gallopoulos E., Hadjidimos A., Kotsireas I.S., Noutsos D., Vrahatis M.N., Preface, Applied Numerical Mathematics, 60(4), pp.293-297, 2010.  (PDF)
    O50. Gallopoulos E., Hadjidimos A., Kotsireas I.S., Noutsos D., Vrahatis M.N., Preface, Journal of Computational and Applied Mathematics, 227(1), pp.1-4, 2009.  (PDF)
    O49. Georgiou V.L., Malefaki S., Alevizos Ph.D., Vrahatis M.N., Determining evolutionary Bayesian probabilistic neural network parameters through particle swarm optimization, abstract, XIIth International Conference on Applied Stochastic Models and Data Analysis, (ASMDA 2007), May 29, 30, 31 and June 1, 2007, Chania, Greece, p.69, 2007.  (PDF)
    O48 Meletiou G.C., Vrahatis M.N., Galanis V.I., Ikonomakis E.K., Data mining through Alice to Alice cryptography, abstract, 22nd European Conference on Operational Research, (EURO XXII), July 8-11, 2007, Prague, Czech Republic, p.215, 2007.  (PDF)
    O47. Tasoulis D.K., Zeimpekis D.S., Gallopoulos E., Vrahatis M.N., Oriented k-windows: A PCA driven clustering method, Technical Report No.HPCLAB-SCG 2/02-06, (revised 3/06), High Performance Information Systems Laboratory, Computer Engineering and Informatics Department, University of Patras, Patras, Greece, February 2006.  (PDF)
    O46. Vrahatis M.N., Magoulas G.D., Meletiou G.C., Plagianakos V.P., Computational approaches to artificial intelligence: Theory, methods, applications, Advances in Computational Methods in Sciences and Engineering (Selected papers from the International Conference of Computational Methods in Sciences and Engineering ICCMSE 2005, October 21-26, 2005, Loutraki, Korinthos, Greece), session editorial, VSP/Brill Academic Publishers (Lecture Series on Computer and Computational Sciences, vol.4B), Leiden, The Netherlands, 2005 [ISBN: 90-6764-444-7].  (PDF)
    O45. Vrahatis M.N., Magoulas G.D., Advances in Computational Intelligence: Theory, Methods, Applications, Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2005), September 16-20, 2005, Rhodes, Greece, session editorial, pp.869-871, Wiley-VCH Verlag, Weinheim, Germany, 2005 [ISBN: 3-527-40652-2].  (PDF)
    O44. Skokos Ch., Parsopoulos K.E., Patsis P.A., Vrahatis M.N., Particle Swarm Optimization: An efficient method for tracing periodic orbits in 3D galactic potentials, arXiv:astro-ph/0502164v1, Subjects: Astrophysics (astro-ph); Numerical Analysis (cs.NA); Neural and Evolutionary Computing (cs.NE); Numerical Analysis (math.NA); Chaotic Dynamics (nlin.CD), 8 February 2005.  (PDF)
    O43. Plagianakos V.P., Tasoulis D.K., Vrahatis M.N., Computational intelligence techniques for gene expression data classification, First Conference in BioSciences of the University of Patras, May 19-20, 2005, Book of Abstracts, Second Poster Session, p.256, Patras, Greece, 2005.  (PDF)
    O42. Laskari E.C., Meletiou G.C., Tasoulis D.K., Vrahatis M.N., Transformations of two cryptographic problems in terms of matrices, ACM SIGSAM Bulletin (ACM Special Interest Group on Symbolic and Algebraic Manipulation), 39(4), Issue 154, pp.127-130, ACM December 2005.  (PDF)
    O41. Georgiou V.L., Parsopoulos K.E., Pavlidis N.G., Alevizos Ph.D., Vrahatis M.N., New self-adaptive probabilistic neural networks in bioinformatics and medical tasks, First Conference in BioSciences of the University of Patras, May 19-20, 2005, Book of Abstracts, Second Poster Session, p.254, Patras, Greece, 2005.  (PDF)
    O40. Gallopoulos E., Tasoulis D.K., Vrahatis M.N., Zeimpekis D., Unsupervised clustering using principal directions guidance, abstract, Third world conference on Computational Statistics and Data Analysis (CSDA 2005), International Association for Statistical Computing (IASC), October 28-31, 2005, Limassol, Cyprus, 2005.  (PDF)
    O39. Epitropakis M.G., Vrahatis M.N., Root finding and approximation approaches through neural networks, ACM SIGSAM Bulletin (ACM Special Interest Group on Symbolic and Algebraic Manipulation), 39(4), Issue 154, pp.118-121, ACM December 2005.  (PDF)
    O38. Emiris I.Z., Kotsireas I.S., Vrahatis M.N., Workshop CASC 2005, ACM SIGSAM Bulletin (ACM Special Interest Group on Symbolic and Algebraic Manipulation), 39(1), Issue 151, p.178, ACM March 2005.  (PDF)
    O37. Skokos Ch., Antonopoulos C., Bountis T.C., Vrahatis M.N., Detecting order and chaos in Hamiltonian systems by the SALI method, arXiv:nlin/0404058v1 [nlin.CD], Subjects: Chaotic Dynamics (nlin.CD); Astrophysics (astro-ph), 30 April 2004.  (PDF)
    O36. Bartz-Beielstein Th., Vegt M.de, Parsopoulos K.E., Vrahatis M.N., Designing particle swarm optimization with regression trees, Interner Bericht des Sonderforschungsbereichs (SFB) 531 Computational Intelligence No.CI-173/04, Universität Dortmund, Dortmund, Germany, May 2004, [ISSN: 1433-3325].  (PDF)
    O35. Vrahatis M.N., Tanabé S., On the roots of a deformed algebraic system, arXiv:math/0310419v1 [math.NA], Subjects: Numerical Analysis (math.NA); Commutative Algebra (math.AC), MSC classes: 65H10; 12D10, 27 October 2003.  (PDF)
    O34. Tasoulis D.K., Zeimpekis D.S., Vrahatis M.N., Gallopoulos E., On the performance of the x-windows and PDDP unsupervised clustering algorithms, abstract, Sixth Hellenic-European Conference on Computer Mathematics and its Applications, (HERCMA'03), September 25-27, 2003, Athens, Greece, 2003.  (LINK)
    O33. Skokos Ch., Parsopoulos K.E., Patsis P.A., Vrahatis M.N., Tracing periodic orbits in 3D galactic potentials using the particle swarm optimization method, Proceedings of the Sixth Hellenic Astronomical Conference, September 15-17, 2003, Penteli, Athens, Greece, P.G. Laskarides (ed.), p.298, 2003.  (PDF)
    O32. Skokos Ch., Antonopoulos C., Bountis T.C., Vrahatis M.N., How does the Smaller Alignment Index (SALI) distinguish order from chaos? arXiv:nlin/0301035v1 [nlin.CD], Subjects: Chaotic Dynamics (nlin.CD), 27 January 2003.  (PDF)
    O31. Bartz-Beielstein Th., Limbourg Ph., Mehnen J., Schmitt K., Parsopoulos K.E., Vrahatis M.N., Particle swarm optimizers for Pareto optimization with enhanced archiving techniques, Interner Bericht des Sonderforschungsbereichs (SFB) 531 Computational Intelligence No.CI-153/03, Universität Dortmund, Dortmund, Germany, July 2003, [ISSN: 1433-3325].  (PDF)
    O30. Vrahatis M.N., Invited review for the book: “Optimal Solution of Nonlinear Equations” by Krzysztof A. Sikorski, Oxford University Press, Oxford, UK, 2001, SIAM Review, 44(2), pp.301-302, 2002.  (PDF)
    O29. Skokos Ch., Antonopoulos C., Bountis T.C., Vrahatis M.N., Smaller alignment index (SALI): Determining the ordered or chaotic nature of orbits in conservative dynamical systems, arXiv:nlin/0210053v1 [nlin.CD], Subjects: Chaotic Dynamics (nlin.CD), 23 October 2002.  (PDF)
    O28. Polymilis C., Servizi G., Skokos Ch., Turchetti G., Vrahatis M.N., Locating periodic orbits by topological degree theory, arXiv:nlin/0211044v1 [nlin.CD], Subjects: Chaotic Dynamics (nlin.CD), 25 November 2002.  (PDF)
    O27. Polymilis C., Servizi G., Skokos Ch., Turchetti G., Vrahatis M.N., Locating periodic orbits by topological degree theory, poster presentation, Seventh International Conference on Libration Point Orbits and Applications, June 10-14, 2002, Aiguablava, Spain, June 2002.  (PDF)
    O26. Mourrain B., Vrahatis M.N., Yakoubsohn J.C., On the complexity of isolating real roots and computing with certainty the topological degree, ECG Technical Report No.ECG-TR-122102-04, Effective Computational Geometry for Curves and Surfaces, ECG, IST-2000-26473, INRIA (Institut National de Recherche en Informatique et en Automatique), Sophia Antipolis, France, December 2002.  (PDF) (PS)
    O25. Laskari E.C., Parsopoulos K.E., Vrahatis M.N., Evolutionary operators in global optimization with dynamic search trajectories, Technical Report No.TR02-05, Department of Mathematics, University of Patras, Patras, Greece, 2002.
    O24. Bartz-Beielstein Th., Parsopoulos K.E., Vrahatis M.N., Tuning PSO parameters through sensitivity analysis, Interner Bericht des Sonderforschungsbereichs (SFB) 531 Computational Intelligence No.CI-124/02, Universität Dortmund, Dortmund, Germany, January 2002, [ISSN: 1433-3325].  (D-NB) (WorldCat) (PDF) (PS)
    O23. Mourrain B., Vrahatis M.N., Yakoubsohn J.C., Isolation of real roots and computation of the topological degree, Rapport de Recherche No.4300, INRIA (Institut National de Recherche en Informatique et en Automatique), Sophia Antipolis, France, Octobre 2001, [ISSN: 0249-6399], [ISRN: INRIA/RR-4300-FR+ENG].  (PDF) (PS)
    O22. Emiris I.Z., Mourrain B., Vrahatis M.N., Sign methods for counting and computing real roots of algebraic systems, Rapport de Recherche No.3669, INRIA (Institut National de Recherche en Informatique et en Automatique), Sophia Antipolis, France, April 1999, [ISSN: 0249-6399].  (PDF) (PS)
    O21. Sotiropoulos D.G., Plagianakos V.P., Vrahatis M.N., An evolutionary algorithm for minimizing multimodal functions, Technical Report No.TR98-03, Department of Mathematics, University of Patras, Patras, Greece, 1998.  (PDF)
    O20. Plagianakos V.P., Sotiropoulos D.G., Vrahatis M.N., A nonmonotone backpropagation training method for neural networks, Technical Report No.TR98-04, Department of Mathematics, University of Patras, Patras, Greece, 1998.  (PDF)
    O19. Plagianakos V.P., Sotiropoulos D.G., Vrahatis M.N., An improved backpropagation method with adaptive learning rate, Technical Report No.TR98-02, Department of Mathematics, University of Patras, Patras, Greece, 1998.  (PDF)
    O18. Plagianakos V.P., Sotiropoulos D.G., Vrahatis M.N., Evolutionary algorithms for integer weight neural network training, Technical Report No.TR98-01, Department of Mathematics, University of Patras, Patras, Greece, 1998.  (PDF)
    O17. Kravanja P., Van Barel M., Ragos O., Vrahatis M.N., Zafiropoulos F.A., ZEAL: A mathematical software package for computing zeros of analytic functions, Technical Report, Department of Computer Science, K.U. Leuven, Belgium, 1998.
    O16. Vrahatis M.N., Invited review for the book: “Ordinary Differential Equations in Theory and Practice” by Mattheij R.M.M. and Molenaar J., John Wiley and Sons, Chichester, NY, USA, 1996, (Also published by: Classics in Applied Mathematics, No. 43, SIAM, Philadelphia, PA, USA, 405 pages, 2002), IEEE Computational Science and Engineering, 4(4), pp.73-74, 1997.  (PDF)
    O15. Kravanja P., Ragos O., Vrahatis M.N., Zafiropoulos F.A., ZEBEC: A mathematical software package for computing simple zeros of Bessel functions of real order and complex argument, Technical Report, Department of Computer Science, K.U. Leuven, Belgium, 1997.
    O14. Stavropoulos E.C., Giakovis D.B., Sotiropoulos D.G., Vrahatis M.N., A robust composite method for neural networks training based on interval analysis and genetic algorithms, Poster presentation, Second European Congress of Mathematics, July 22-26, Budapest, Hungary, 1996.
    O13. Kavvadias D.J., Vrahatis M.N., Locating and computing all the simple roots and extrema of a function, ALCOM Report No.13/2, Computer Technology Institute, Patras, Greece, 1995.
    O12. Magoulas G.D., Vrahatis M.N., Grapsa~T.N., Androulakis G.S., Neural network supervised training based on a dimension reducing method, Technical Report CLS-1095, Department of Electrical Engineering, University of Patras, Patras, Greece, 1995.
    O11. Magoulas G.D., Vrahatis M.N., Androulakis G.S., Effective backpropagation training with variable stepsize, Technical Report No.06, Department of Electrical Engineering, University of Patras, Patras, Greece, 1995.
    O10. Vrahatis M.N., Servizi G., Turchetti G, Bountis T.C., A procedure to compute the fixed points and visualize the orbits of a 2D map, CERN SL/93-06 (AP), CERN-SL Division, European Organization for Nuclear Research (CERN), Geneva, Switzerland, February 1993.  (PDF) (PS)
      O9.  Grapsa T.N., Vrahatis M.N., Bountis T.C., Solving systems of nonlinear equations in ℝn using a rotating hyperplane in ℝn+1, General Seminar of Mathematics, vol.16, pp.171-190, Department of Mathematics, University of Patras, Patras, Greece, 1990.
      O8.  Grapsa T.N., Vrahatis M.N., A dimension-reducing method for solving systems of nonlinear equations in ℝn, General Seminar of Mathematics, vol.16, pp.159-170, Department of Mathematics, University of Patras, Patras, Greece, 1990.
      O7.  Vrahatis M.N., Bountis T.C., A convergence-improving iterative method for computing periodic orbits near bifurcation points, General Seminar of Mathematics, vol.15, pp.133-156, Department of Mathematics, University of Patras, Patras, Greece, 1989.
      O6.  Metakides G., Papadakis S., Vrahatis M.N., Informatics education in Greece, Technical Report No.TR87-01, Department of Mathematics, University of Patras, Patras, Greece, 1987.
      O5.  Vrahatis M.N., Permanents – Yegorychev's theorem – Proof of the Van Der Waerden's conjecture, in Greek, General Seminar of Mathematics, vol.9, pp.35-47, Department of Mathematics, University of Patras, Patras, Greece, 1983.
      O4.  Vrahatis M.N., Solving systems of non-linear equations using a generalized method of bisection, in Greek, General Seminar of Mathematics, vol.8, pp.63-92, Department of Mathematics, University of Patras, Patras, Greece, 1982.
      O3.  Vrahatis M.N., The topological degree for the generalized method of bisection, Technical Report No.TR81-06, Department of Mathematics, University of Patras, Patras, Greece, 1981.
      O2.  Vrahatis M.N., On the construction of characteristic n-polyhedra for locating roots of systems of nonlinear equations, Technical Report No.TR81-05, Department of Mathematics, University of Patras, Patras, Greece, 1981.
      O1.  Vrahatis M.N., On the nonzero value of the topological degree for locating roots of systems of nonlinear equations, Technical Report No.TR81-04, Department of Mathematics, University of Patras, Patras, Greece, 1981.


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