Aki Vehtari

Associate Professor at Aalto University School of Business

Schools

  • Aalto University School of Business

Expertise

Links

Biography

Aalto University School of Business

I'm co-leader of the Probabilistic Machine Learning Group. We develop new methods for probabilistic modeling, Bayesian inference and machine learning. Our current focuses are in particular probabilistic programming, learning from multiple data sources, Bayesian model assessment and selection, approximate inference and information visualization. Our primary application areas are digital health and biology, neuroscience and user interaction.

Peer-reviewed scientific articles

Journal article-refereed, Original research

Expectation propagation as a way of life: A framework for Bayesian inference on partitioned data

Gelman, Andrew; Vehtari, Aki; Jylänki, Pasi; Sivula, Tuomas; Tran, Dustin; Sahai, Swupnil; Blomstedt, Paul; Cunningham, John P.; Schiminovich, David; Robert, Christian
2017 in STATISTICAL SCIENCE (Institute of Mathematical Statistics)
ISSN: 0883-4237

Effect of KIT and PDGFRA mutations on survival in patients with gastrointestinal stromal tumors treated with adjuvant imatinib An exploratory analysis of a randomized clinical trial

Joensuu, Heikki; Wardelmann, Eva; Sihto, Harri; Eriksson, Mikael; Sundby Hall, Kirsten; Reichardt, Annette; Hartmann, Jörg T.; Pink, Daniel; Cameron, Silke; Hohenberger, Peter; Al-Batran, Salah-Eddin; Schlemmer, Marcus; Bauer, Sebastian; Nilsson, Bengt; Kallio, Raija; Junnila, Jouni; Vehtari, Aki; Reichardt, Peter
2017 in JAMA Oncology (American Medical Association)
ISSN: 2374-2437

Nudged elastic band calculations accelerated with Gaussian process regression

Koistinen, Olli-Pekka; Dagbjartsdóttir, Freyja B.; Ásgeirsson, Vilhjálmur; Vehtari, Aki; Jonsson, Hannes
2017 in JOURNAL OF CHEMICAL PHYSICS (AMER INST PHYSICS)
ISSN: 0021-9606

ELFI: Engine for Likelihood-Free Inference

Lintusaari, Jarno; Vuollekoski, Henri; Kangasrääsiö, Antti; Skyten, Kusti; Järvenpää, Marko; Gutmann, Michael; Vehtari, Aki; Corander, Jukka; Kaski, Samuel
2017 in Submitted (AMER INST PHYSICS)

Sparsity information and regularization in the horseshoe and other shrinkage priors

Piironen, Juho; Vehtari, Aki
2017 in Submitted (AMER INST PHYSICS)

Comparison of Bayesian predictive methods for model selection

Piironen, Juho; Vehtari, Aki
2017 in STATISTICS AND COMPUTING (Springer Netherlands)
ISSN: 0960-3174

SLUG transcription factor A pro-survival and prognostic factor in gastrointestinal stromal tumour

Pulkka, Olli Pekka; Nilsson, Bengt; Sarlomo-Rikala, Maarit; Reichardt, Peter; Eriksson, Mikael; Hall, Kirsten Sundby; Wardelmann, Eva; Vehtari, Aki; Joensuu, Heikki; Sihto, Harri
2017 in BRITISH JOURNAL OF CANCER (Nature Publishing Group)
ISSN: 0007-0920

Distributed neural signatures of natural audiovisual speech and music in the human auditory cortex

Salmi, Juha; Koistinen, Olli-Pekka; Glerean, Enrico; Jylänki, Pasi; Vehtari, Aki; Jääskeläinen, Iiro; Mäkelä, Sasu; Nummenmaa, Lauri; Nummi-Kuisma, Katarina; Nummi, Ilari; Sams, Mikko
2017 in NEUROIMAGE (ACADEMIC PRESS INC ELSEVIER SCIENCE)
ISSN: 1053-8119

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

Vehtari, Aki; Gelman, Andrew; Gabry, Jonah
2017 in STATISTICS AND COMPUTING (Springer Netherlands)
ISSN: 0960-3174

Minimum energy path calculations with Gaussian process regression

Koistinen, Olli-Pekka; Maras, Emile; Vehtari, Aki; Jonsson, Hannes
2016 in Nanosystems: Physics, Chemistry, Mathematics (Springer Netherlands)
ISSN: 2220-8054

Cost-effectiveness of providing patients with information on managing mild low-back symptoms in an occupational health setting

Rantonen, Jarmo; Karppinen, J.; Vehtari, A.; Luoto, S.; Viikari-Juntura, E.; Hupli, M.; Malmivaara, A.; Taimela, S.
2016 in BMC PUBLIC HEALTH (BIOMED CENTRAL LTD)
ISSN: 1471-2458

Bayesian leave-one-out cross-validation approximations for Gaussian latent variable models

Vehtari, Aki; Mononen, Tommi; Tolvanen, Ville; Sivula, Tuomas; Winther, Ole
2016 in JOURNAL OF MACHINE LEARNING RESEARCH (MICROTOME PUBL)
ISSN: 1532-4435

The current duration design for estimating the time to pregnancy distribution: a nonparametric Bayesian perspective

Gasbarra, Dario; Arjas, Elja; Vehtari, Aki; Slama, Remy; Keiding, Niels
2015 in LIFETIME DATA ANALYSIS (Springer Netherlands)
ISSN: 1380-7870

Quantitative p95HER2 and HER2 correlations with outcome in the FinHer trial

Sperinde, Jeff; Huang, Weidong; Vehtari, Aki; Chenna, Ahmed; Kellokumpu-Lehtinen, Pirkko-Liisa; Winslow, John; Bono, Petri; Lie, Yolanda; Weidler, Jodi; Joensuu, Heikki
2015 in CANCER RESEARCH (American Association for Cancer Research Inc.)
ISSN: 0008-5472

Estimation and Accuracy after Model Selection Comment

Gelman, Andrew; Vehtari, Aki
2014 in JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION (AMER STATISTICAL ASSOC)
ISSN: 0162-1459

Comment

Gelman, Andrew; Vehtari, Aki
2014 in JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION (AMER STATISTICAL ASSOC)
ISSN: 0162-1459

Understanding predictive information criteria for Bayesian models

Gelman, Andrew; Hwang, Jessica; Vehtari, Aki
2014 in STATISTICS AND COMPUTING (Springer Netherlands)
ISSN: 0960-3174

Gastrointestinal Stromal Tumor: A Method for Optimizing the Timing of CT Scans in the Follow-up of Cancer Patients

Joensuu, Heikki; Reichardt, Peter; Eriksson, Mikael; Hall, Kirsten Sundby; Vehtari, Aki
2014 in RADIOLOGY (Radiological Society of North America Inc.)
ISSN: 0033-8419

Expectation Propagation for Neural Networks with Sparsity-Promoting Priors

Jylanki, Pasi; Nummenmaa, Aapo; Vehtari, Aki
2014 in JOURNAL OF MACHINE LEARNING RESEARCH (MICROTOME PUBL)
ISSN: 1532-4435

Hierarchical second-order analysis of replicated spatial point patterns with non-spatial covariates

Myllymäki, Mari; Särkkä, Aila; Vehtari, Aki
2014 in Spatial Statistics (Elsevier BV)
ISSN: 2211-6753

Face-to-face information combined with a booklet versus a booklet alone for treatment of mild low-back pain: a randomized controlled trial

Rantonen, Jarmo; Vehtari, Aki; Karppinen, Jaro; Luoto, Satu; Viikari-Juntura, Eira; Hupli, Markku; Malmivaara, Antti; Taimela, Simo
2014 in SCANDINAVIAN JOURNAL OF WORK ENVIRONMENT AND HEALTH (Finnish Institute of Occupational Health)
ISSN: 0355-3140

Laplace Approximation for Logistic Gaussian Process Density Estimation and Regression

Riihimaki, Jaakko; Vehtari, Aki
2014 in BAYESIAN ANALYSIS (Carnegie Mellon University)
ISSN: 1936-0975

The Influence of Selective Participation in a Physical Activity Intervention on the Generalizability of Findings

Vehtari, Aki; Reijonsaari, Karita; Kahilakoski, Olli-Pekka; Paananen, Markus; van Mechelen, Willem; Taimela, Simo
2014 in JOURNAL OF OCCUPATIONAL AND ENVIRONMENTAL MEDICINE (Lippincott Williams and Wilkins)
ISSN: 1076-2752

Nested Expectation Propagation for Gaussian Process Classification with a Multinomial Probit Likelihood

Riihimäki, Jaakko; Jylänki, Pasi; Vehtari, Aki
2013 in JOURNAL OF MACHINE LEARNING RESEARCH (MICROTOME PUBL)
ISSN: 1532-4435

GPstuff: Bayesian Modeling with Gaussian Processes

Vanhatalo, Jarno; Riihimäki, Jaakko; Hartikainen, Jouni; Jylänki, Pasi; Tolvanen, Ville; Vehtari, Aki
2013 in JOURNAL OF MACHINE LEARNING RESEARCH (MICROTOME PUBL)
ISSN: 1532-4435

One vs Three Years of Adjuvant Imatinib for Operable Gastrointestinal Stromal Tumor: A Randomized Trial

Joensuu, Heikki; Eriksson, Mikael; Sundby Hall, Kirsten; Hartmann, Jörg T.; Pink, Daniel; Schütte, Jochen; Ramadori, Giuliano; Hohenberger, Peter; Duyster, Justus; Al-Batran, Salah-Eddin; Schlemmer, Marcus; Bauer, Sebastian; Wardelmann, Eva; Sarlomo-Rikala, Maarit; Nilsson, Bengt; Sihto, Harri; Monge, Odd R.; Bono, Petri; Kallio, Raija; Vehtari, Aki; Leinonen, Mika; Alvegård, Thor; Reichardt, Peter
2012 in JAMA : JOURNAL OF THE AMERICAN MEDICAL ASSOCIATION (American Medical Association)
ISSN: 0098-7484

Risk of recurrence of gastrointestinal stromal tumour after surgery: an analysis of pooled population-based cohorts

Joensuu, Heikki; Vehtari, Aki; Riihimaki, Jaakko; Nishida, Toshirou; Steigen, Sonja E.; Brabec, Peter; Plank, Lukas; Nilsson, Bengt; Cirilli, Claudia; Braconi, Chiara; Bordoni, Andrea; Magnusson, Magnus K.; Linke, Zdenek; Sufliarsky, Jozef; Federico, Massimo; Jonasson, Jon G.; Dei Tos, Angelo Paolo; Rutkowski, Piotr
2012 in LANCET ONCOLOGY (Lancet Publishing Group)
ISSN: 1470-2045

Finite Adaptation and Multistep Moves in the Metropolis-Hastings Algorithm for Variable Selection in Genome-Wide Association Analysis

Peltola, Tomi; Marttinen, Pekka; Vehtari, Aki
2012 in PLOS ONE (PUBLIC LIBRARY SCIENCE)

Bayesian Variable Selection in Searching for Additive and Dominant Effects in Genome-Wide Data

Peltola, Tomi; Marttinen, Pekka; Jula, Antti; Salomaa, Veikko; Perola, Markus; Vehtari, Aki
2012 in PLOS ONE (PUBLIC LIBRARY SCIENCE)

The effectiveness of two active interventions compared to self-care advice in employees with non-acute low back symptoms.A randomised, controlled trial with a 4-year follow-up in the occupational heal

Rantonen, Jorma; Luoto, Satu; Vehtari, Aki; Hupli, Markku; Karppinen, Jaro; Malmivaara, Antti; Taimela, Simo
2012 in OCCUPATIONAL AND ENVIRONMENTAL MEDICINE (BMJ Publishing Group)
ISSN: 1351-0711

The effectiveness of physical activity monitoring and distance counseling in an occupational setting - Results from a randomized controlled trial (CoAct)

Reijonsaari, Karita; Vehtari, Aki; Kahilakoski, Olli-Pekka; van Mechelen, Willem; Aro, Timo; Taimela, Simo
2012 in BMC PUBLIC HEALTH (BIOMED CENTRAL LTD)

Dynamic retrospective filtering of physiological noise in BOLD fMRI: DRIFTER

Särkkä, S.; Solin, A.; Nummenmaa, A.; Vehtari, A.; Auranen, T.; Vanni, S.; Lin, F.-H.
2012 in NEUROIMAGE (ACADEMIC PRESS INC ELSEVIER SCIENCE)
ISSN: 1053-8119

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

Vehtari, Aki; Ojanen, Janne
2012 in STATISTICS SURVEYS (ACADEMIC PRESS INC ELSEVIER SCIENCE)

Robust Gaussian Process Regression with a Student-t Likelihood

Jylänki, Pasi; Vanhatalo, Jarno; Vehtari, Aki
2011 in JOURNAL OF MACHINE LEARNING RESEARCH (MICROTOME PUBL)
ISSN: 1532-4435

Fragmented QRS in Prediction of Cardiac Deaths and Heart Failure Hospitalizations after Myocardial Infarction

Korhonen, Petri; Husa, Terhi; Konttila, Teijo; Tierala, Ilkka; Mäkijärvi, Markku; Väänänen, Heikki; Ojanen, Janne; Vehtari, Aki; Toivonen, Lauri
2010 in Annals of noninvasive electrocardiology (Wiley-Blackwell)
ISSN: 1082-720X

Gaussian processes with monotonicity information

Riihimäki, Jaakko; Vehtari, Aki
2010 in JOURNAL OF MACHINE LEARNING RESEARCH (MICROTOME PUBL)
ISSN: 1532-4435

Analysing the length of care episode after hip fracture a nonparametric and a parametric Bayesian approach

Riihimäki, Jaakko; Sund, Reijo; Vehtari, Aki
2010 in HEALTH CARE MANAGEMENT SCIENCE (Kluwer Academic Publishers)
ISSN: 1386-9620

Approximate inference for disease mapping with sparse Gaussian processes

Vanhatalo, Jarno; Pietiläinen, Ville; Vehtari, Aki
2010 in STATISTICS IN MEDICINE (John Wiley and Sons Ltd)
ISSN: 0277-6715

Automatic fMRI-guided MEG multidipole localization for visual responses

Auranen, Toni; Nummenmaa, Aapo; Vanni, Simo; Vehtari, Aki; Hämäläinen, Matti S.; Lampinen, Jouko; Jääskeläinen, Iiro P.
2009 in HUMAN BRAIN MAPPING (Wiley-Liss Inc.)
ISSN: 1065-9471

The effectiveness of physical activity monitoring and distance counselling in an occupational health seting - a research protocol for a randomised controlled trial (CoAct)

Reijonsaari, Karita; Vehtari, Aki; Van Mechelen, Willem; Aro, Timo; Taimela, Simo
2009 in BMC PUBLIC HEALTH (BIOMED CENTRAL LTD)

Modeling the length of care episode after hip fracture: does the type of fracture matter?

Sund, R.; Riihimäki, Jaakko; Mäkelä, M.; Vehtari, Aki; Lüthje, P.; Huusko, T.; Häkkinen, U.
2009 in SCANDINAVIAN JOURNAL OF SURGERY (Finnish Surgical Society)
ISSN: 1457-4969

Discussion to 'Approximate Bayesian inference for latent Gaussian models by using integrated nested Laplace approximations' by Håvard Rue, Sara Martino and Nicolas Chopin

Vanhatalo, Jarno; Vehtari, Aki
2009 in JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B: STATISTICAL METHODOLOGY (Wiley-Blackwell)
ISSN: 1369-7412

A multi-metabolite analysis of serum by H-1 NMR spectroscopy: Early systemic signs of Alzheimer's disease

Tukiainen, T.; Tynkkynen, T.; Mäkinen, V-P.; Jylänki, P.; Kangas, A.; Hokkanen, J.; Vehtari, A.; Grohn, O.; Hallikainen, M.; Soininen, H.; Kivipelto, M.; Groop, P-H.; Kaski, K.; Laatikainen, R.; Soininen, P.; Pirttilä, T.; Ala-Korpela, M.
2008 in BIOCHEMICAL AND BIOPHYSICAL RESEARCH COMMUNICATIONS (ACADEMIC PRESS INC ELSEVIER SCIENCE)
ISSN: 0006-291X

Bayesian inverse analysis of neuromagnetic data using cortically constrained multiple dipoles

Auranen, Toni; Nummenmaa, Aapo; Hämäläinen, Matti S.; Jääskeläinen, Iiro P.; Lampinen, Jouko; Vehtari, Aki; Sams, Mikko
2007 in HUMAN BRAIN MAPPING (Wiley-Liss Inc.)
ISSN: 1065-9471

Automatic relevance-determination based on hierarchical Bayesian MEG inversion in practice

Nummenmaa, Aapo; Auranen, Toni; Hämäläinen, Matti S.; Jääskeläinen, Iiro P.; Sams, Mikko; Vehtari, Aki; Lampinen, Jouko
2007 in NEUROIMAGE (ACADEMIC PRESS INC ELSEVIER SCIENCE)
ISSN: 1053-8119

Hierarchical Bayesian estimates of distributed MEG sources: theoretical aspects and comparison of variational and MCMC methods

Nummenmaa, Aapo; Auranen, Toni; Hämäläinen, Matti S.; Jääskeläinen, Iiro P.; Lampinen, Jouko; Sams, Mikko; Vehtari, Aki
2007 in NEUROIMAGE (ACADEMIC PRESS INC ELSEVIER SCIENCE)
ISSN: 1053-8119

Exploring the lipoprotein composition using Bayesian regression on serum lipidomic profiles

Sysi-Aho, Marko Tapani; Vehtari, Aki; Velagapudi, Vidya; Westerbacka, Jukka; Yetukuri, Laxman; Bergholm, Robert; Taskinen, Marja-Riitta; Yki-Järvinen, Hannele; Orexic, Matej
2007 in BIOINFORMATICS (OXFORD UNIV PRESS INC)

CATS benchmark time series prediction by Kalman smoother with cross-validated noise density

Särkkä, Simo; Vehtari, Aki; Lampinen, Jouko
2007 in NEUROCOMPUTING (Elsevier Science B.V.)
ISSN: 0925-2312

Rao-Blackwellized Particle Filter for Multiple Target Tracking

Särkkä, Simo; Vehtari, Aki; Lampinen, Jouko
2007 in INFORMATION FUSION (Elsevier)
ISSN: 1566-2535

Sparse Log Gaussian Processes via MCMC for Spatial Epidemiology

Vanhatalo, Jarno; Vehtari, Aki
2007 in JMLR Workshop and Conference Proceedings (Elsevier)

A novel Bayesian approach to quantify clinical variables and to determine their spectroscopic counterparts in 1H NMR metabonomic data

Vehtari, Aki; Mäkinen, Ville-Petteri; Soininen, Pasi; Ingman, Petri; Mäkelä, Sanna M.; Savolainen, Markku J.; Hannuksela, Minna L.; Kaski, Kimmo; Ala-Korpela, Mika
2007 in BMC BIOINFORMATICS (BioMed Central)

Bayesian analysis of the neuromagnetic inverse problem with l^p -norm priors

Auranen, Toni; Nummenmaa, Aapo; Hämäläinen, Matti S.; Jääskeläinen, Iiro P.; Lampinen, Jouko; Vehtari, Aki; Sams, Mikko
2005 in NEUROIMAGE (ACADEMIC PRESS INC ELSEVIER SCIENCE)
ISSN: 1053-8119

Shape analysis of concrete aggregates for statistical quality modeling

Kalliomäki, Ilkka; Vehtari, Aki; Lampinen, Jouko
2005 in MACHINE VISION AND APPLICATIONS (Springer Verlag)
ISSN: 0932-8092

Bayesian model assessment and comparison using cross-validation predictive densities

Vehtari, Aki; Lampinen, Jouko
2002 in NEURAL COMPUTATION (MIT PRESS)
ISSN: 0899-7667

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

Vehtari, Aki
2002 in Journal of the Royal Statistical Society, Series B (MIT PRESS)

Bayesian Approach for Neural Networks - Review and Case Studies

Lampinen, Jouko; Vehtari, Aki
2001 in NEURAL NETWORKS (PERGAMON-ELSEVIER SCIENCE LTD)
ISSN: 0893-6080

Bayesian MLP neural networks for image analysis.

Vehtari, Aki; Lampinen, Jouko
2000 in PATTERN RECOGNITION LETTERS (Elsevier)
ISSN: 0167-8655

Book section, Chapters in research books

Discussion to "Hierarchical multivariate CAR models for spatio-temporally correlated survival data" by Carlin B.P. and Banerjee, S

Vehtari, Aki
2003
ISBN: 0198526156

Discussion to "Bayesian Treed Generalized Linear Models" by Chipman, H.A., George, E.Il, And McCulloch R.E.

Vehtari, Aki
2003
ISBN: 0198526156

Expected utility estimation via cross-validation

Vehtari, Aki; Lampinen, Jouko
2003
ISBN: 0-19-852615-6

Neljännesvuosisata Hatutusta: Hahmontunnistustutkimus Suomessa 1977-2002

Lampinen, Jouko; Vehtari, Aki
2002

Bayesian neural networks: Case studies in industrial applications.

Vehtari, Aki; Lampinen, Jouko
2000
ISBN: 978-1-4471-1155-9

Conference proceedings

On the hyperprior choice for the global shrinkage parameter in the horseshoe prior

Piironen, Juho; Vehtari, Aki
2017 in Proceedings of Machine Learning Research (PMLR)
ISSN: 1938-7228

Bayesian optimization with virtual derivative sign observations

Siivola, Eero; Vehtari, Aki; Vanhatalo, Jarno; Gonzalez , Javier
2017

Automatic detection of acute kidney injury episodes from primary care data

Tirunagari, Santosh; Bull, Simon C.; Vehtari, Aki; Farmer, Christopher; De Lusignan, Simon; Poh, Norman
2017
ISBN: 9781509042401

Projection predictive model selection for Gaussian processes

Piironen, Juho; Vehtari, Aki
2016 in IEEE International Workshop on Machine Learning for Signal Processing (IEEE Xplore digital library)
ISBN: 978-1-5090-0746-2
ISSN: 2161-0371

Chained Gaussian Processes

Saul, Alan; Hensman, James; Vehtari, Aki; Lawrence, Neil D.
2016 in Journal of Machine Learning Research: Workshop and Conference Proceedings (JMLR W&CP)
ISSN: 1938-7228

Automatic monotonicity detection for Gaussian Processes

Siivola, Eero; Piironen, Juho; Vehtari, Aki
2016

Expectation propagation for likelihoods depending on an inner product of two multivariate random variables

Peltola, Tomi; Jylänki, Pasi; Vehtari, Aki
2014

Hierarchical Bayesian survival analysis and projective covariate selection in cardiovascular event risk prediction

Peltola, Tomi; Havulinna, Aki S.; Salomaa, Veikko; Vehtari, Aki
2014

Catching Physiological Noise: Comparison of DRIFTER in Image and k-Space

Solin, Arno; Särkkä, Simo; Nummenmaa, Aapo; Vehtari, Aki; Lin, Fa-Hsuan
2014

Expectation propagation for nonstationary heteroscedastic Gaussian process regression

Tolvanen, Ville; Jylänki, Pasi; Vehtari, Aki
2014 in IEEE International Workshop on Machine Learning for Signal Processing (IEEE)
ISBN: 978-1-4799-3694-6
ISSN: 2161-0363

Volumetric space-time structure of physiological noise in BOLD fMRI

Solin, Arno; Särkkä, Simo; Nummenmaa, Aapo; Vehtari, Aki; Auranen, Toni; Vanni, Simo; Lin, Fa-Hsuan
2013

Identification of Spatio-Temporal Oscillatory Signal Structure in Cerebral Hemodynamics Using DRIFTER.

Särkkä, S.; Solin, A.; Nummenmaa, A.; Vehtari, A.; Auranen, T.; Vanni, S.; Lin, F.-H.
2012

Dynamical statistical modeling of physiological noise for fast BOLD fMRI

Särkkä, S.; Nummenmaa, A.; Solin, A.; Vehtari, A.; Witzel, T.; Auranen, T.; Vanni, S.; Hämäläinen, M.S.; Lin, F-H.
2011

Speeding up the binary Gaussian process classification

Vanhatalo, Jarno; Vehtari, Aki
2010

Features and metric from a classifier improve visualizations with dimension reduction

Parviainen, Elina; Vehtari, Aki
2009

Gaussian process regression with Student-t likelihood

Vanhatalo, Jarno; Jylänki, Pasi; Vehtari, Aki
2009

Approximate Inference in Disease Mapping with Sparse Log Gaussian Process Priors

Vanhatalo, Jarno; Vehtari, Aki
2008

Modelling local and global phenomena with sparse Gaussian processes

Vanhatalo, Jarno; Vehtari, Ai
2008

A quantitative Bayesian approach to metabonomic 1H NMR data of serum

Jylänki, Pasi; Niemi, Jaakko; Mäkinen, Ville-Petteri; Salminen, Aino; Vanhatalo, Lauri; Soininen, Pasi; Ingman, Petri; Kaski, Kimmo; Groop, Per-Henrik; Vehtari, Aki; Ala-Korpela, Mika
2007

Prediction of ESTSP Competition Time Series by Unscented Kalman Filter and RTS Smoother

Särkkä, Simo; Vehtari, Aki; Lampinen, Jouko
2007

NMR Metabonomics as a Potential Reciipe Against Natural Fuzziness in the Borderline of Health and Disease

Ala-Korpela, Mika; Mäkinen, Ville-Petteri; Salminen, Aino; Suna, Teemu; Lankinen, Niko; Kumpula, Linda; Niinikoski, Antti; Saramäki, Jari; Vehtari, Aki; Soininen, Pasi; Laatikainen, Reino; Ingman, Petri; Mäkelä, Sanna; Nissinen, Antti; Hannuksela, Minna; Savolainen, Markku; Groop, Per-Henrik; Jauhiainen, Matti; Taskinen, Marja-Riitta; Liimatainen, Timo; Sipola, Petri; Heikkonen, Jukka; Kaski, Kimmo
2006

A Bayesian approach to select linearly separable spectral feature combinations

Jylänki, Pasi; Grave de Peralta Menendez, Rolando; Cincotti, Febo; Kauhanen, Laura; Vehtari, Aki
2006

A Hierarchical Paradigm for Knowledge Discovery: Towards Biomedical Utilisation of 1H NMR Metabonomics

Mäkinen, Ville-Petteri; Vehtari, Aki; Salminen, Aino; Saramäki, Jari; Kaski, Kimmo; Ala-Korpela, Mika
2006

A Novel Bayesian Approach for Uncovering Potential Spectroscopic Counterparts for Clinical Variables in 1H NMR Metabonomic Applications

Vehtari, Aki; Mäkinen, Ville-Petteri; Soininen, Pasi; Ingman, Petri; Mäkelä, Sanna; Savolainen, Markku; Hannuksela, Minna; Kaski, Kimmo; Ala-Korpela, Mika
2006

Rao-Blackwellized Monte Carlo Data Association for Multiple Target Tracking

Särkkä, Simo; Vehtari, Aki; Lampinen, Jouko
2004

Time series prediction by Kalman smoother with cross validated noise density

Särkkä, Simo; Vehtari, Aki; Lampinen, Jouko
2004 in IEEE International Joint Conference on Neural Networks (IJCNN) (IEEE)
ISBN: 0-7803-8359-1
ISSN: 1098-7576

Bayesian techniques for neural networks - review and case studies.

Lampinen, J.; Vehtari, A.
2000

On MCMC sampling in Bayesian MLP neural networks

Vehtari, Aki; Särkkä, Simo; Lampinen, Jouko
2000 in IEEE International Joint Conference on Neural Networks (IJCNN) (IEEE Computer Society)
ISSN: 1098-7576

Bayesian MLP neural networks - review and case studies.

Vehtari, A.; Lampinen, J.
2000

Forest change detection via Landsat TM difference features

Heikkonen, J.; Varjo, J.; Vehtari, A.
1999

Application of Bayesian Neural Network in Electrical Impedance Tomography

Lampinen, J.; Vehtari, A.; Leinonen, K.
1999

Bayesian Neural Network to Solve the Inverse Problem in Electrical Impedance Tomography

Lampinen, J.; Vehtari, A.; Leinonen, K.
1999

Bayesian Neural Networks for Image Analysis

Vehtari, A.; Lampinen, J.
1999

Bayesian Neural Networks with Correlating Residuals

Vehtari, A.; Lampinen, J.
1999

Bayesian Neural Networks for Industrial Applications

Vehtari, A.; Lampinen, J.
1999

Bayesian Neural Networks with Correlating Residuals

Vehtari, A.; Lampinen, J.
1999

Forest scene classification: Comparison of classifiers

Vehtari, A.; Juujärvi, J.; Heikkonen, J.; Lampinen, J.
1998

Using Bayesian neural networks to classify forest scenes

Vehtari, Aki; Heikkonen, Jukka; Lampinen, Jouko; Juujärvi, Jouni
1998 in PROCEEDINGS OF THE SOCIETY OF PHOTO-OPTICAL INSTRUMENTATION ENGINEERS (SPIE) (SPIE - The International Society of Optical Engineering)
ISBN: 0-8194-2983-X
ISSN: 0277-786X

Non-refereed scientific articles

Unrefereed journal articles

Gaussian process modeling in approximate Bayesian computation to estimate horizontal gene transfer in bacteria

Järvenpää, Marko; Gutmann, Michael; Vehtari, Aki; Marttinen, Pekka
2016 in ANNALS OF APPLIED STATISTICS (Institute of Mathematical Statistics)
ISSN: 1932-6157

Discussion to 'Riemann manifold Langevin and Hamiltonian Monte Carlo methods'

Vehtari, Aki; Vanhatalo, Jarno
2011 in Journal of the Royal Statistical Society, Series B (Statistical Methodology) (Institute of Mathematical Statistics)

Unrefereed conference proceedings

User Modelling for Avoiding Overfitting in Interactive Knowledge Elicitation for Prediction

Daee, Pedram; Peltola, Tomi; Vehtari, Aki; Kaski, Samuel
2017

Scientific books (monographs)

Book

Bayesian Data Analysis

Gelman, Andrew; Carlin, John B.; Stern, Hal S.; Dunson, David B.; Vehtari, Aki; Rubin, Donald B.
2013
ISBN: 9781439840955

Publications intended for professional communities

Published development or research report

Efficient acquisition rules for model-based approximate Bayesian computation

Järvenpää, Marko; Gutmann, Michael; Vehtari, Aki; Marttinen, Pekka
2017

On the Hyperprior Choice for the Global Shrinkage Parameter in the Horseshoe Prior

Piironen, Juho; Vehtari, Aki
2016

Pareto Smoothed Importance Sampling

Vehtari, Aki; Gelman, Andrew; Gabry, Jonah
2016

Hierarchical expectation propagation for Bayesian aggregation of average data

Weber, Sebastian; Gelman, Andrew; Carpenter, Bob; Lee, Daniel ; Betancourt, Michael; Vehtari, Aki; Racine, Amy
2016

Bayesian inference for spatio-temporal spike and slab priors

Andersen, Michael Riis; Vehtari, Aki; Winther, Ole; Hansen, Lars Kai
2015

Brain-to-brain hyperclassification reveals action-specific motor mapping of observed actions in humans

Smirnov, Dmitry; Lachat, Fanny; Peltola, Tomi; Lahnakoski, Juha; Koistinen, Olli-Pekka; Glerean, Enrico; Vehtari, Aki; Hari, Riitta; Sams, Mikko; Nummenmaa, Lauri
2015

1H NMR spectroscopy in computational medicine

Mäkinen, V.-P.; Soininen, P.; Tukiainen, T.; Niemi, J.; Jylänki, P.; Kangas, A.J.; Peltola, T.; Hokkanen, J.; Kumpula, L.; Ojanen, J.; Sandholm, N.; Forsblom, C.; Vehtari, A.; Groop, P.-H.; Kaski, K.; Ala-Korpela, M.
2008

Automatic fMRI-guided MEG multidipole localization for visual responses.

Auranen, T.; Nummenmaa, A.; Vanni, S.; Vehtari, A.; Hämäläinen, M.S.; Lampinen, J.; Jääskeläinen, I.P.
2007

A Bayesian approach to metabonomic 1H NMR data of serum

Jylänki, Pasi; Niemi, Jaakko; Lankinen, Niko; Salminen, Aino; Vehtari, Aki; Ala-Korpela, Mika
2007

Sparse MEG inverse solutiona via hierarchical Bayesian modeling: Evaluation with a parallel fMRI study

Nummenmaa, Aapo; Auranen, Toni; Vanni, Simo; Hämäläinen, Matti S.; Jääskeläinen, Iiro P.; Lampinen, Jouko; Vehtari, Aki; Sams, Mikko
2007

Cortically constrained neuromagnitic inverse analysis: structure of Bayesian multidipolar solutions and effects of MEG-MRI coregistration error

Auranen, Toni; Nummenmaa, Aapo; Hämäläinen, Matti S.; Jääskeläinen, Iiro P.; Lampinen, Jouko; Vehtari, Aki; Sams, Mikko
2006

Inverse estimates of basic auditory and visual MEG responses by hierarchical Variational Bayesian approach

Nummenmaa, Aapo; Auranen, Toni; Hämäläinen, Matti S.; Jääskeläinen, Iiro P.; Lampinen, Jouko; Sams, Mikko; Vehtari, Aki
2006

Rao-Blackwellized Particle Filter for Tracking Unknown Number of Targets in Clutter

Särkkä, Simo; Vehtari, Aki; Lampinen, Jouko
2005

Full Bayesian Analysis of the MEG Inverse Problem with 1 p-norm Priors.

Auranen, T.; Nummenmaa, A.; Hämäläinen, M.S.; Jääskeläinen, I.P.; Lampinen, J.; Vehtari, A.; Sams, M.
2004

A Hierarchical Bayesian Approach in distributed MEG source Modelling

Nummenmaa, A.; Auranen, T.; Hämäläinen, M.S.; Jääskeläinen, I.P.; Lampinen, J.; Sams, M.; Vehtari, A.
2004

Probabilistic methods in multiple target tracking - Review and bibliography

Särkkä, Simo; Tamminen, Toni; Vehtari, Aki; Lampinen, Jouko
2004

Model selection via predictive explanatory power

Vehtari, Aki; Lampinen, Jouko
2004

Bayesian Input Variable Selection Using Posterior Probabilities and Expected Utilities

Vehtari, Aki; Lampinen, Jouko
2002

On Bayesian Model Asessment and Choice Using Cross-Validation Predictive Densities

Vehtari, Aki; Lampinen, Jouko
2001

Bayesian Model Assessment and Comparison Using Cross-Validation Predictive Densities

Vehtari, Aki; Lampinen, Jouko
2001

Bayesian model assesment and comparison using cross-validation predictive densities

Vehtari, Aki; Lampinen, Jouko
2001

Bayesian Input Variable Selection Using Cross-Validation Predictive Densities and Reversible Jump MCMC

Vehtari, Aki; Lampinen, Jouko
2001

Publications intended for the general public

Popular article, newspaper article

Alkoholikuolleisuuden alueelliset erot Suomessa 2000-luvun alussa

Vanhatalo, Jarno; Mäkelä, Pia; Vehtari, Aki
2010 in YHTEISKUNTAPOLITIIKKA (arXiv.org)
ISSN: 1455-6901

Audiovisual material, ICT software

ICT programs or applications

MCMC Diagnostics for Matlab 6.x

Särkkä, Simo; Vehtari, Aki
2003

FBM tools for Matlab 6.x, Version 1.0

Särkkä, Simo; Vehtari, Aki
2003

Using stacking to average Bayesian predictive distributions

Yao, Yuling; Vehtari, Aki; Simpson, Daniel; Gelman, Andrew
2017 in arXiv.org (arXiv.org)

ELFI: Engine for Likelihood-Free Inference

Kangasrääsiö, Antti; Lintusaari, Jarno; Skyten, Kusti; Järvenpää, Marko; Vuollekoski, Henri; Gutmann, Michael; Vehtari, Aki; Corander, Jukka; Kaski, Samuel
2016

SLUG transcription factor promotes cell proliferation and predicts outcome of patients with gastrointestinal stromal tumor

Sihto, Harri; Pulkka, O. P.; Nilsson, Bengt; Sarlomo-Rikala, Maarit; Reichardt, Peter; Eriksson, M.; Hall, Kirsten Sundby; Wardelmann, Eva; Vehtari, A.; Joensuu, Päivi H.
2016 in EUROPEAN JOURNAL OF CANCER (ELSEVIER SCI LTD)
ISSN: 0959-8049

Erratum to: Practical Bayesian model evaluation using leave-one-out cross-validation and WAIC Practical Bayesian model evaluation using leave-one-out cross-validation and WAIC

Vehtari, Aki; Gelman, Andrew; Gabry, Jonah
2016 in Statistics and Computing (ELSEVIER SCI LTD)
ISSN: 0960-3174

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