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math.ST2025
Pivotal CLTs for Pseudolikelihood via Conditional Centering in Dependent Random Fields
Nabarun Deb
In this paper, we study fluctuations of conditionally centered statistics of the form where $(σ_1,\ldots ,σ_N)…
math.ST2025
CLT in high-dimensional Bayesian linear regression with low SNR
Seunghyun Lee, Nabarun Deb, Sumit Mukherjee
We study central limit theorems for linear statistics in high-dimensional Bayesian linear regression with product priors. Unlike the existing literature where the focus is on poste…
math.ST2025
Phase Transition in Nonparametric Minimax Rates for Covariate Shifts on Approximate Manifolds
Yuyao Wang, Nabarun Deb, Debarghya Mukherjee
We study nonparametric regression under covariate shift with structured data, where a small amount of labeled target data is supplemented by a large labeled source dataset. In many…