# David B. Dunson

- Arts and Sciences Professor of Statistical Science
- Professor of Statistical Science
- Professor in the Department of Electrical and Computer Engineering (Secondary)
- Professor in the Department of Mathematics (Secondary)
- Faculty Network Member of the Duke Institute for Brain Sciences

**External address:**218 Old Chemistry Bldg, Durham, NC 27708

**Internal office address:**Box 90251, Durham, NC 27708-0251

**Phone:**(919) 684-8025

Development of Bayesian statistical methods and approaches for uncertainty quantification motivated by applications with complex and high-dimensional data. A particular interest is in high-dimensional low sample size data in which it is necessary to incorporate dimensional reduction through carefully designed prior distributions and challenges arise in efficiently computing posterior approximations. Ongoing focus areas include new algorithms for approximating posterior distributions in big data settings, nonparametric Bayes probability modeling allowing for uncertainty in distributional assumptions, analysis of network data, incorporating physical and geometric prior knowledge in modeling and novel models for dimension reduction for "object data" (functions, tensors, shapes, etc). Primary application areas include genomics, neurosciences, epidemiology, and reproductive studies but with much broader interests in developing new methods motivated by difficult applications (in art, music, radar, imaging processing, etc).

New methods for quantitative modeling of protein-DNA interactions awarded by National Institutes of Health (Co Investigator). 2015 to 2020

BIGDATA:F: Scalable Bayes uncertainty quantification with guarantees awarded by National Science Foundation (Principal Investigator). 2015 to 2019

Predicting Performance from Network Data awarded by U.S. Army Research Institute for the Behavioral and Social Sciences (Principal Investigator). 2016 to 2019

Network motifs in cortical computation awarded by University of California - Los Angeles (Principal Investigator). 2016 to 2019

Nonparametric Bayes Methods for Big Data in Neuroscience awarded by National Institutes of Health (Mentor). 2014 to 2019

Bayesian learning for high-dimensional low sample size data awarded by Office of Naval Research (Principal Investigator). 2014 to 2017

LAS DO6: Theory and Methods for Coarsened Decision Making; Synthetic Data Release: The Tradeoff between Privacy and Utility of Big Data awarded by North Carolina State University (Co-Principal Investigator). 2016

NCRN-MN:Triangle Census Research Network awarded by National Science Foundation (Co Investigator). 2011 to 2016

Bayesian Methods for High-Dimensional Epidemiologic Data awarded by University of North Carolina - Chapel Hill (Principal Investigator). 2011 to 2016

Predicting Treatment Futility in Refractory Diffuse Large B cell Lymphoma awarded by Leukemia & Lymphoma Society (Statistical Analyst). 2014 to 2015

## Pages

Dunson, DB, Bhattacharya, A, and Griffin, JE. "Nonparametric Bayes Regression and Classification Through Mixtures of Product Kernels." *Bayesian Statistics 9.* January 19, 2012.
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Johndrow, JE, Bhattacharya, A, and Dunson, DB. "Tensor decompositions and sparse log-linear models." *The Annals of Statistics* 45.1 (February 2017): 1-38.
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Lock, EF, and Dunson, DB. "Bayesian genome- and epigenome-wide association studies with gene level dependence." *Biometrics* (January 12, 2017).
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Kunihama, T, Herring, AH, Halpern, CT, and Dunson, DB. "Nonparametric Bayes modeling with sample survey weights." *Statistics & Probability Letters* 113 (June 2016): 41-48.
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Rao, V, Lin, L, and Dunson, DB. "Data augmentation for models based on rejection sampling." *Biometrika* 103.2 (June 2016): 319-335.

Guhaniyogi, R, and Dunson, DB. "Compressed Gaussian process for manifold regression." *Journal of Machine Learning Research* 17 (May 1, 2016).

Kabisa, ST, Dunson, DB, and Morris, JS. "Online Variational Bayes Inference for High-Dimensional Correlated Data." *Journal of Computational and Graphical Statistics* 25.2 (April 2, 2016): 426-444.
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Yang, Y, and Dunson, DB. "Bayesian manifold regression." *The Annals of Statistics* 44.2 (April 2016): 876-905.
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Zhou, J, Herring, AH, Bhattacharya, A, Olshan, AF, and Dunson, DB. "Nonparametric Bayes modeling for case control studies with many predictors." *Biometrics* 72.1 (March 2016): 184-192.
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Tang, K, Dunson, DB, Su, Z, Liu, R, Zhang, J, and Dong, J. "Subspace segmentation by dense block and sparse representation." *Neural networks : the official journal of the International Neural Network Society* 75 (March 2016): 66-76.
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Kunihama, T, and Dunson, DB. "Nonparametric Bayes inference on conditional independence." *Biometrika* 103.1 (March 2016): 35-47.
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## Pages

Van Den Boom, W, Dunson, D, and Reeves, G. "Quantifying uncertainty in variable selection with arbitrary matrices." January 14, 2016. Full Text

Wang, X, Dunson, D, and Leng, C. "No penalty no tears: Least squares in high-dimensional linear models." January 1, 2016.

Guo, F, and Dunson, DB. "Uncovering systematic bias in ratings across categories: A Bayesian approach." September 16, 2015. Full Text

Wang, Y, and Dunson, D. "Probabilistic curve learning: Coulomb repulsion and the electrostatic Gaussian process." January 1, 2015.

Wang, X, Guo, F, Heller, KA, and Dunson, DB. "Parallelizing MCMC with random partition trees." January 1, 2015.

Srivastava, S, Cevher, V, Tran-Dinh, Q, and Dunson, DB. "WASP: Scalable Bayes via barycenters of subset posteriors." January 1, 2015.

Wang, X, Leng, C, and Dunson, DB. "On the consistency theory of high dimensional variable screening." January 1, 2015.

Yin, R, Dunson, D, Cornelis, B, Brown, B, Ocon, N, Daubechies, I, Yin, R, Dunson, D, Cornelis, B, Brown, B, Ocon, N, and Daubechies, I. "Digital cradle removal in X-ray images of art paintingsDigital cradle removal in X-ray images of art paintings (PublishedPublished)." January 28, 2014. Full Text

Durante, D, and Dunson, DB. "Bayesian logistic Gaussian process models for dynamic networks." January 1, 2014.

Rai, P, Wang, Y, Guo, S, Chen, G, Dunson, D, and Carin, L. "Scalable bayesian low-rank decomposition of incomplete multiway tensors." January 1, 2014.