1 citations · 1 across the 3 of their papers we have counts for
7 papers
Large-Scale Shrinkage Estimation under Markovian Dependence
Bowen Gang, Gourab Mukherjee, Wenguang Sun
We consider the problem of simultaneous estimation of a sequence of dependent parameters that are generated from a hidden Markov model. Based on observing a noise contaminated vect…
A Nearest-Neighbor Based Nonparametric Test for Viral Remodeling in Heterogeneous Single-Cell Proteomic Data
Trambak Banerjee, Bhaswar B. Bhattacharya, Gourab Mukherjee
An important problem in contemporary immunology studies based on single-cell protein expression data is to determine whether cellular expressions are remodeled post infection by a…
Sparse Minimax Optimality of Bayes Predictive Density Estimates from Clustered Discrete Priors
Ujan Gangopadhyay, Gourab Mukherjee
We consider the problem of predictive density estimation under Kullback-Leibler loss in a high-dimensional Gaussian model with exact sparsity constraints on the location parameters…
Adaptive Sparse Estimation with Side Information
Trambak Banerjee, Gourab Mukherjee, Wenguang Sun
The article considers the problem of estimating a high-dimensional sparse parameter in the presence of side information that encodes the sparsity structure. We develop a general fr…
On Minimax Optimality of Sparse Bayes Predictive Density Estimates
Gourab Mukherjee, Iain M. Johnstone
We study predictive density estimation under Kullback-Leibler loss in -sparse Gaussian sequence models. We propose proper Bayes predictive density estimates and establish a…
Empirical Bayes Estimates for a 2-Way Cross-Classified Additive Model
Lawrence D. Brown, Gourab Mukherjee, Asaf Weinstein
We develop an empirical Bayes procedure for estimating the cell means in an unbalanced, two-way additive model with fixed effects. We employ a hierarchical model, which reflects ex…