3 citations · 4 across the 2 of their papers we have counts for
8 papers
Limit theorems for dependent combinatorial data, with applications in statistical inference
Somabha Mukherjee
The Ising model is a celebrated example of a Markov random field, introduced in statistical physics to model ferromagnetism. This is a discrete exponential family with binary outco…
Estimation in Tensor Ising Models
Somabha Mukherjee, Jaesung Son, Bhaswar B. Bhattacharya
The -tensor Ising model is a one-parameter discrete exponential family for modeling dependent binary data, where the sufficient statistic is a multi-linear form of degree $p \ge…
Asymptotic bounds on graphical partitions and partition comparability
Stephen Melczer, Marcus Michelen, Somabha Mukherjee
An integer partition is called graphical if it is the degree sequence of a simple graph. We prove that the probability that a uniformly chosen partition of size is graphical de…
Asymptotic Distribution of Bernoulli Quadratic Forms
Bhaswar B. Bhattacharya, Somabha Mukherjee, Sumit Mukherjee
Consider the random quadratic form , where is a -valued symmetric matrix with zeros on th…
Distribution-Free Multisample Test Based on Optimal Matching with Applications to Single Cell Genomics
Divyansh Agarwal, Somabha Mukherjee, Bhaswar Bikram Bhattacharya +1
In this paper we propose a nonparametric graphical test based on optimal matching, for assessing the equality of multiple unknown multivariate probability distributions. Our proced…
Replica Symmetry in Upper Tails of Mean-Field Hypergraphs
Somabha Mukherjee, Bhaswar B. Bhattacharya
Given a sequence of -uniform hypergraphs , denote by the number of edges in the random induced hypergraph obtained by including every vertex in $H…