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math.ST2026
Sample complexity bounds for categorical Markov random fields via Discrete Diffusions
Shivam Kumar, Nabarun Deb
Many applications in statistics, economics, and physics require sampling from high-dimensional categorical distributions with local dependence structures. Examples include finite m…
math.ST2026
Normal approximations in nonparametric empirical Bayes
Jiafeng Chen, Nabarun Deb, Nikolaos Ignatiadis
Empirical Bayes analyses routinely model noisy measurements of latent parameters as normal, justifying this by an informal appeal to the central limit theorem (CLT). This paper put…
math.ST2026
Parametric Mean-Field empirical Bayes in high-dimensional linear regression
Seunghyun Lee, Nabarun Deb
In this paper, we consider the problem of parametric empirical Bayes estimation of an i.i.d. prior in high-dimensional Bayesian linear regression, with random design. We obtain the…