Somabha Mukherjee

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20172021

most citedDistribution-Free Multisample Test Based on Optimal Matching with Applications to Single Cell Genomics

3 citations · 4 across the 2 of their papers we have counts for

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math.PR2019

Asymptotic Distribution of Bernoulli Quadratic Forms

Bhaswar B. Bhattacharya, Somabha Mukherjee, Sumit Mukherjee

Consider the random quadratic form $T_{n} = \sum_{1 \leq u < v \leq n} a_{uv} X_{u} X_{v}$ , where $((a_{uv}))_{1 \leq u, v \leq n}$ is a ${0, 1}$ -valued symmetric matrix with zeros on th…

math.PR2018

Replica Symmetry in Upper Tails of Mean-Field Hypergraphs

Somabha Mukherjee, Bhaswar B. Bhattacharya

Given a sequence of $s$ -uniform hypergraphs ${H_{n}}_{n \geq 1}$ , denote by $T_{p} (H_{n})$ the number of edges in the random induced hypergraph obtained by including every vertex in $H…