54 citations · 151 across the 13 of their papers we have counts for
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math.PR2020★ 3 cited
A Matrix Bernstein Inequality for Strong Rayleigh Distributions
Tarun Kathuria
The Entropy method provides a powerful framework for proving scalar concentration inequalities by establishing functional inequalities like Poincare and log-Sobolev inequalities. T…
math.PR2020★ 1 cited
Scalar Poincaré Implies Matrix Poincaré
Ankit Garg, Tarun Kathuria, Nikhil Srivastava
We prove that every reversible Markov semigroup which satisfies a Poincaré inequality satisfies a matrix-valued Poincaré inequality for Hermitian matrix valued function…
math.PR2020★ 4 cited
On Concentration Inequalities for Random Matrix Products
Tarun Kathuria, Satyaki Mukherjee, Nikhil Srivastava
Consider complex random matrices of size sampled i.i.d. from a distribution with mean . While the concentration of averages of these matric…