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math.ST2021★ 2 cited
Signal Detection in Degree Corrected ERGMs
Yuanzhe Xu, Sumit Mukherjee
In this paper, we study sparse signal detection problems in Degree Corrected Exponential Random Graph Models (ERGMs). We study the performance of two tests based on the conditional…
math.ST2021★ 9 cited
Variational Inference in high-dimensional linear regression
Sumit Mukherjee, Subhabrata Sen
We study high-dimensional Bayesian linear regression with product priors. Using the nascent theory of non-linear large deviations (Chatterjee and Dembo,2016), we derive sufficient…
math.ST2018
Joint estimation of parameters in Ising model
Promit Ghosal, Sumit Mukherjee
We study joint estimation of the inverse temperature and magnetization parameters of an Ising model with a non-negative coupling matrix of size , given one…