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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
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…