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D-Index & Metrics

Mathematics

D-Index
52
Citations
18785
World Ranking
938
National Ranking
442

Roman Vershynin 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 Roman Vershynin 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: 118 publications — 20th percentile

20% of scientists in this discipline score the same or lower.

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

Roman Vershynin 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 Roman Vershynin 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: 52 D-Index — 74th percentile

74% 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

  • 2005 - Fellow of Alfred P. Sloan Foundation

Overview

Roman Vershynin is affiliated with the University of California, Irvine in the United States. Their research contributions are primarily situated within the field of Computer Science, with significant focus on subfields such as Artificial Intelligence, Statistics and Probability, Computational Theory and Mathematics, Molecular Biology, and Computer Science Applications.

The primary topics addressed in their work include:

  • Privacy-Preserving Technologies in Data
  • Cryptography and Data Security
  • Random Matrices and Applications
  • Mobile Crowdsensing and Crowdsourcing
  • Neural Networks and Applications
  • Advanced Memory and Neural Computing
  • Stochastic processes and statistical mechanics

Roman Vershynin's publication record includes papers published across several journals and venues. Frequent outlets for their work are:

  • arXiv (Cornell University)
  • SIAM Journal on Mathematics of Data Science
  • Foundations of Computational Mathematics
  • The Annals of Probability
  • Random Matrices Theory and Application

Recent notable papers include:

  • Memory Capacity of Neural Networks with Threshold and Rectified Linear Unit Activations, 2020, SIAM Journal on Mathematics of Data Science
  • Marchenko-Pastur law with relaxed independence conditions, 2020, Random Matrices Theory and Application
  • Covariance's Loss is Privacy's Gain: Computationally Efficient, Private and Accurate Synthetic Data, 2022, Foundations of Computational Mathematics
  • The smallest singular value of inhomogeneous square random matrices, 2021, The Annals of Probability
  • Memory capacity of neural networks with threshold and ReLU activations, 2020, arXiv (Cornell University)

Collaborative work features frequent coauthors such as:

  • Thomas Strohmer
  • March T. Boedihardjo
  • Yizhe Zhu
  • Pierre Baldi
  • Yiyun He

Roman Vershynin was recognized as a Fellow of the Alfred P. Sloan Foundation in 2005. This distinction is noted without additional citation details.

Best Publications

  • Introduction to the non-asymptotic analysis of random matrices.

    Roman Vershynin

  • High-Dimensional Probability: An Introduction with Applications in Data Science

    Roman Vershynin

  • Uniform Uncertainty Principle and Signal Recovery via Regularized Orthogonal Matching Pursuit

    Deanna Needell;Roman Vershynin

  • Signal Recovery From Incomplete and Inaccurate Measurements Via Regularized Orthogonal Matching Pursuit

    Deanna Needell;Roman Vershynin

  • A Randomized Kaczmarz Algorithm with Exponential Convergence

    Thomas Strohmer;Roman Vershynin

  • On sparse reconstruction from Fourier and Gaussian measurements

    Mark Rudelson;Roman Vershynin

  • Hanson-Wright inequality and sub-gaussian concentration

    Mark Rudelson;Roman Vershynin

  • Robust 1-bit Compressed Sensing and Sparse Logistic Regression: A Convex Programming Approach

    Y. Plan;R. Vershynin

  • One-Bit Compressed Sensing by Linear Programming

    Yaniv Plan;Roman Vershynin

  • The Littlewood-Offord problem and invertibility of random matrices

    Mark Rudelson;Roman Vershynin

  • Non-asymptotic Theory of Random Matrices: Extreme Singular Values

    Mark Rudelson;Roman Vershynin

  • Sampling from large matrices: An approach through geometric functional analysis

    Mark Rudelson;Roman Vershynin

  • Smallest singular value of a random rectangular matrix

    Mark Rudelson;Roman Vershynin

  • Error correction via linear programming

    Emmanuel Candes;Mark Rudelson;Terence Tao;Roman Vershynin

  • One sketch for all: fast algorithms for compressed sensing

    A. C. Gilbert;M. J. Strauss;J. A. Tropp;R. Vershynin

  • How Close is the Sample Covariance Matrix to the Actual Covariance Matrix

    Roman Vershynin

  • Sparse reconstruction by convex relaxation: Fourier and Gaussian measurements

    Mark Rudelson;Roman Vershynin

  • Geometric approach to error-correcting codes and reconstruction of signals

    Mark Rudelson;Roman Vershynin

  • Community detection in sparse networks via Grothendieck's inequality

    Olivier Guédon;Roman Vershynin

  • The Generalized Lasso With Non-Linear Observations

    Yaniv Plan;Roman Vershynin

  • The smallest singular value of a random rectangular matrix

    Mark Rudelson;Roman Vershynin

Frequent Co-Authors

Mark Rudelson
Mark Rudelson University of Michigan–Ann Arbor
Elizaveta Levina
Elizaveta Levina University of Michigan–Ann Arbor
Pierre Baldi
Pierre Baldi University of California, Irvine
Deanna Needell
Deanna Needell University of California, Los Angeles
Joel A. Tropp
Joel A. Tropp California Institute of Technology
Shahar Mendelson
Shahar Mendelson Texas A&M University
Martin J. Strauss
Martin J. Strauss University of Michigan–Ann Arbor
Anna C. Gilbert
Anna C. Gilbert Yale University
Thomas Strohmer
Thomas Strohmer University of California, Davis
Raja Giryes
Raja Giryes Tel Aviv University

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