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Aki Vehtari
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Mathematics
Finland
2026

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 55 757 647 2 1 230 62230
Computer Science 53 4668 4538 31 28 233 60851

Aki Vehtari publications per year

The chart shows the history of publications by Aki Vehtari between 1995 and 2026, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Aki Vehtari published across 32 years, from 1995 to 2026, averaging 10.2 papers a year. Output peaked at 35 publications in 2020. 17 of the 325 publications appeared in the last two years.

No. of publications
10 20 30
Bar chart. Horizontal axis: year, 1995 to 2026. Vertical axis: number of publications, 0 to 35. Peak 35 publications in 2020. 1995: 2 publications 1996: 0 publications 1997: 0 publications 1998: 2 publications 1999: 5 publications 2000: 5 publications 2001: 5 publications 2002: 5 publications 2003: 4 publications 2004: 8 publications 2005: 3 publications 2006: 6 publications 2007: 13 publications 2008: 4 publications 2009: 6 publications 2010: 7 publications 2011: 3 publications 2012: 15 publications 2013: 8 publications 2014: 16 publications 2015: 9 publications 2016: 14 publications 2017: 20 publications 2018: 19 publications 2019: 23 publications 2020: 35 publications 2021: 32 publications 2022: 9 publications 2023: 15 publications 2024: 15 publications 2025: 16 publications 2026: 1 publication
1995 2026

325 publications in total across all disciplines

View publications per year as a table
Aki Vehtari: publications per year, 1995 to 2026
Year Publications
1995 2
1996 0
1997 0
1998 2
1999 5
2000 5
2001 5
2002 5
2003 4
2004 8
2005 3
2006 6
2007 13
2008 4
2009 6
2010 7
2011 3
2012 15
2013 8
2014 16
2015 9
2016 14
2017 20
2018 19
2019 23
2020 35
2021 32
2022 9
2023 15
2024 15
2025 16
2026 1
Total 325
Download as CSV

Aki Vehtari 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 Aki Vehtari sits on this spectrum.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 227–231 publications, is where this scientist sits. 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 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 publications 537+

This scientist: 230 publications — 72nd percentile

72% of scientists in this discipline score the same or lower.

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

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50 230
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
Download as CSV

Aki Vehtari 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 Aki Vehtari sits on this spectrum.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 55 D-Index, is where this scientist sits. 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: 55 D-Index — 79th percentile

79% of scientists in this discipline score the same or lower.

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

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50 55
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

Research.com Recognitions

  • 2026 - Research.com Mathematics in Finland Leader Award
  • 2025 - Research.com Mathematics in Finland Leader Award

Overview

Aki Vehtari is affiliated with Aalto University in Finland and has contributed extensively to the fields of mathematics and computer science. Their research predominantly spans statistics and probability, with a focus on statistical methods and Bayesian inference.

The scientist's work covers several subfields, including:

  • Statistics and Probability
  • Artificial Intelligence
  • Management Science and Operations Research
  • Statistics, Probability and Uncertainty
  • Molecular Biology

Main topics in Aki Vehtari's research include:

  • Statistical Methods and Inference
  • Statistical Methods and Bayesian Inference
  • Gaussian Processes and Bayesian Inference
  • Bayesian Methods and Mixture Models
  • Markov Chains and Monte Carlo Methods
  • Bayesian Modeling and Causal Inference
  • Advanced Multi-Objective Optimization Algorithms

Vehtari has a record of numerous publications across prominent venues, including the following frequent publication venues:

  • arXiv (Cornell University)
  • Bayesian Analysis
  • Statistics and Computing
  • Computational Statistics
  • bioRxiv (Cold Spring Harbor Laboratory)

Among recent notable papers are:

  • Bayesian Workflow (2020), published in arXiv (Cornell University)
  • Interindividual variability and lateralization of μ-opioid receptors in the human brain (2020), published in NeuroImage
  • Projective inference in high-dimensional problems: Prediction and feature selection (2020), published in Electronic Journal of Statistics
  • Uncertainty in Bayesian Leave-One-Out Cross-Validation Based Model Comparison (2020), published in arXiv (Cornell University)
  • What are the Most Important Statistical Ideas of the Past 50 Years? (2021), published in Journal of the American Statistical Association

Aki Vehtari frequently collaborates with several coauthors, including:

  • Andrew Gelman
  • Jennifer Hill
  • Paul-Christian Bürkner
  • Måns Magnusson
  • Michael Riis Andersen

In addition to articles, Vehtari has published books with Cambridge University Press, including:

  • Regression and Other Stories (2020)
  • Active Statistics (2024)

Best Publications

  • Bayesian Data Analysis

    Andrew Gelman;John B. Carlin;Hal S. Stern;David B. Dunson

  • Practical Bayesian model evaluation using leave-one-out cross-validation and WAIC

    Aki Vehtari;Andrew Gelman;Jonah Gabry

  • Understanding predictive information criteria for Bayesian models

    Andrew Gelman;Jessica Hwang;Aki Vehtari

  • One vs three years of adjuvant imatinib for operable gastrointestinal stromal tumor: a randomized trial.

    Heikki Joensuu;Mikael Eriksson;Kirsten Sundby Hall;Jörg T. Hartmann

  • Visualization in Bayesian workflow

    Jonah Gabry;Daniel Simpson;Aki Vehtari;Michael Betancourt

  • R-squared for Bayesian regression models

    Andrew Gelman;Ben Goodrich;Jonah Gabry;Aki Vehtari

  • Regression and Other Stories

    Andrew Gelman;Jennifer Hill;Aki Vehtari

  • Discussion to "Bayesian measures of model complexity and fit" by Spiegelhalter, D.J., Best, N.G., Carlin, B.P., and van der Linde, A.

    Aki Vehtari

  • Discussion of "Using Stacking to Average Bayesian Predictive Distributions" by Yao et. al

    Yuling Yao;Aki Vehtari;Daniel Simpson;Andrew Gelman

  • Sparsity information and regularization in the horseshoe and other shrinkage priors

    Juho Piironen;Aki Vehtari

  • Bayesian approach for neural networks—review and case studies

    Jouko Lampinen;Aki Vehtari

  • A survey of Bayesian predictive methods for model assessment, selection and comparison

    Aki Vehtari;Janne Ojanen

  • Rao-Blackwellized particle filter for multiple target tracking

    Simo Särkkä;Aki Vehtari;Jouko Lampinen

  • Comparison of Bayesian predictive methods for model selection

    Juho Piironen;Aki Vehtari

  • GPstuff: Bayesian modeling with Gaussian processes

    Jarno Vanhatalo;Jaakko Riihimäki;Jouni Hartikainen;Pasi Jylänki

  • Using stacking to average Bayesian predictive distributions

    Yuling Yao;Aki Vehtari;Daniel Simpson;Andrew Gelman

  • Deep Learning Spectroscopy: Neural Networks for Molecular Excitation Spectra.

    Kunal Ghosh;Annika Stuke;Milica Todorović;Peter Bjørn Jørgensen

  • Pareto Smoothed Importance Sampling

    Aki Vehtari;Andrew Gelman;Jonah Gabry

  • Bayesian model assessment and comparison using cross-validation predictive densities

    Aki Vehtari;Jouko Lampinen

  • Validating Bayesian Inference Algorithms with Simulation-Based Calibration

    Sean Talts;Michael Betancourt;Daniel Simpson;Aki Vehtari

  • Hierarchical linear models

    Andrew Gelman;John B. Carlin;Hal S. Stern;David B. Dunson

  • Bayesian Workflow.

    Andrew Gelman;Aki Vehtari;Daniel Simpson;Charles C. Margossian

Frequent Co-Authors

Andrew Gelman
Andrew Gelman Columbia University
Donald B. Rubin
Donald B. Rubin Temple University
John B. Carlin
John B. Carlin University of Melbourne
Simo Särkkä
Simo Särkkä Aalto University
David B. Dunson
David B. Dunson Duke University
Samuel Kaski
Samuel Kaski Aalto University
Mikko Sams
Mikko Sams Aalto University
Heikki Joensuu
Heikki Joensuu University of Helsinki
Matti Hämäläinen
Matti Hämäläinen Harvard Medical School
Iiro P. Jääskeläinen
Iiro P. Jääskeläinen Aalto University

External Links

Personal website of Aki Vehtari Google Scholar page

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Best Scientists Citing Aki Vehtari

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Kerrie Mengersen

Queensland University of Technology

Publications: 69

Sudipto Banerjee

Sudipto Banerjee

University of California, Los Angeles

Publications: 48

Simo Särkkä

Simo Särkkä

Aalto University

Publications: 47

Mika Ala-Korpela

Mika Ala-Korpela

University of Oulu

Publications: 46

David M. Blei

David M. Blei

Columbia University

Publications: 40

Samuel Kaski

Samuel Kaski

Aalto University

Publications: 38

Thomas L. Griffiths

Thomas L. Griffiths

Princeton University

Publications: 37

Piotr Rutkowski

Piotr Rutkowski

Maria Sklodowska-Curie National Research Institute of Oncology

Publications: 35

André E. Punt

André E. Punt

University of Washington

Publications: 31

George B. Arhonditsis

George B. Arhonditsis

University of Toronto

Publications: 31

Mark Girolami

Mark Girolami

University of Cambridge

Publications: 30

Jean-Yves Tourneret

Jean-Yves Tourneret

National Polytechnic Institute of Toulouse

Publications: 28

Shravan Vasishth

Shravan Vasishth

University of Potsdam

Publications: 28

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Klaas E. Stephan

University of Zurich

Publications: 28

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Jeffrey N. Rouder

University of California, Irvine

Publications: 27

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