World's Best Scientists 2026 revealed!
Michael N. Vrahatis

Michael N. Vrahatis

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Mathematics
Greece
2026

D-Index & Metrics

Mathematics

D-Index
60
Citations
15953
World Ranking
553
National Ranking
1

Computer Science

D-Index
59
Citations
15931
World Ranking
3395
National Ranking
13

Michael N. Vrahatis publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Michael N. Vrahatis sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 310 publications — 87th percentile

87% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Michael N. Vrahatis D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Michael N. Vrahatis sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 60 D-Index — 85th percentile

85% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Research.com Recognitions

  • 2026 - Research.com Mathematics in Greece Leader Award
  • 2025 - Research.com Mathematics in Greece Leader Award
  • 2023 - Research.com Mathematics in Greece Leader Award

Overview

Michael N. Vrahatis is affiliated with the University of Patras in Greece and has contributed extensively to fields spanning Computer Science and Engineering. Their research emphasizes the subfields of Artificial Intelligence, Computer Vision and Pattern Recognition, Computational Theory and Mathematics, Electrical and Electronic Engineering, and Computer Networks and Communications.

The scientist's work covers a range of main topics including Machine Learning and Data Classification, Metaheuristic Optimization Algorithms Research, Data Stream Mining Techniques, Anomaly Detection Techniques and Applications, Face and Expression Recognition, Matrix Theory and Algorithms, and Robotic Path Planning Algorithms.

They have published several recent papers, including:

  • "kNN Classification: a review", 2023, Annals of Mathematics and Artificial Intelligence
  • "Artificial intelligence methods for music generation: a review and future perspectives", 2020, Elsevier eBooks
  • "Novel Sparse Feature Regression Method for Traffic Forecasting", 2022, International Journal of Artificial Intelligence Tools
  • "Survey of Methods for Solving Systems of Nonlinear Equations, Part I: Root-finding Approaches", 2022, arXiv (Cornell University)
  • "Towards the mathematical foundation of the minimum enclosing ball and related problems", 2024, arXiv (Cornell University)

Frequent co-authors include Panos K. Syriopoulos, Sotiris Kotsiantis, Konstantinos Chatzilygeroudis, Nektarios G. Kalampalikis, and Pãnos M. Pardalos, each collaborating on multiple publications.

Their publications appear predominantly in venues such as arXiv (Cornell University), Annals of Mathematics and Artificial Intelligence, Elsevier eBooks, International Journal of Artificial Intelligence Tools, and Operations Research Forum.

Michael N. Vrahatis has also contributed a book titled Black Box Optimization, Machine Learning, and No-Free Lunch Theorems, published in 2021 by Springer International Publishing.

Best Publications

  • Recent approaches to global optimization problems through Particle Swarm Optimization

    K. E. Parsopoulos;M. N. Vrahatis

  • Particle swarm optimization method in multiobjective problems

    K. E. Parsopoulos;M. N. Vrahatis

  • On the computation of all global minimizers through particle swarm optimization

    K.E. Parsopoulos;M.N. Vrahatis

  • Particle Swarm Optimization and Intelligence: Advances and Applications

    Konstantinos E. Parsopoulos;Michael N. Vrahatis

  • Particle swarm optimization for integer programming

    E.C. Laskari;K.E. Parsopoulos;M.N. Vrahatis

  • UPSO: A Unified Particle Swarm Optimization Scheme

    K.E. Parsopoulos;M.N. Vrahatis

  • No Free Lunch Theorem: A Review

    Stavros P. Adam;Stamatios-Aggelos N. Alexandropoulos;Panos M. Pardalos;Michael N. Vrahatis

  • Enhancing Differential Evolution Utilizing Proximity-Based Mutation Operators

    M G Epitropakis;D K Tasoulis;N G Pavlidis;V P Plagianakos

  • Unified particle swarm optimization for solving constrained engineering optimization problems

    K. E. Parsopoulos;M. N. Vrahatis

  • Parallel differential evolution

    D.K. Tasoulis;N.G. Pavlidis;V.P. Plagianakos;M.N. Vrahatis

  • Effective backpropagation training with variable stepsize

    George D. Magoulas;Michael N. Vrahatis;George S. Androulakis

  • A first study of fuzzy cognitive maps learning using particle swarm optimization

    K.E. Parsopoulos;E.I. Papageorgiou;P.P. Groumpos;M.N. Vrahatis

  • Fuzzy Cognitive Maps Learning Using Particle Swarm Optimization

    Elpiniki I. Papageorgiou;Konstantinos E. Parsopoulos;Chrysostomos S. Stylios;Petros P. Groumpos

  • New globally convergent training scheme based on the resilient propagation algorithm

    Aristoklis D. Anastasiadis;George D. Magoulas;Michael N. Vrahatis

  • Detecting order and chaos in Hamiltonian systems by the SALI method

    Ch Skokos;Ch Skokos;Ch Antonopoulos;T C Bountis;M N Vrahatis

  • Improving the convergence of the backpropagation algorithm using learning rate adaptation methods

    G. D. Magoulas;M. N. Vrahatis;G. S. Androulakis

  • Memetic particle swarm optimization

    Yiannis G. Petalas;Konstantinos E. Parsopoulos;Michael N. Vrahatis

  • Spiking neural network training using evolutionary algorithms

    N.G. Pavlidis;O.K. Tasoulis;V.P. Plagianakos;G. Nikiforidis

  • Parameter selection and adaptation in Unified Particle Swarm Optimization

    K. E. Parsopoulos;M. N. Vrahatis

  • Data preprocessing in predictive data mining

    Stamatios-Aggelos N. Alexandropoulos;Sotiris B. Kotsiantis;Michael N. Vrahatis

  • Particle filtering with particle swarm optimization in systems with multiplicative noise

    A. D. Klamargias;K. E. Parsopoulos;Ph. D. Alevizos;M. N. Vrahatis

Frequent Co-Authors

Konstantinos E. Parsopoulos
Konstantinos E. Parsopoulos University of Ioannina
George D. Magoulas
George D. Magoulas Birkbeck, University of London
Tassos Bountis
Tassos Bountis University of Patras
Sotiris Kotsiantis
Sotiris Kotsiantis University of Patras
Elpiniki I. Papageorgiou
Elpiniki I. Papageorgiou University Of Thessaly
Nikos Fakotakis
Nikos Fakotakis University of Patras
Bernard Mourrain
Bernard Mourrain French Institute for Research in Computer Science and Automation - INRIA
Peter P. Groumpos
Peter P. Groumpos University of Patras
Aristidis Likas
Aristidis Likas University of Ioannina
Panos M. Pardalos
Panos M. Pardalos University of Florida

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