54 citations · 151 across the 13 of their papers we have counts for
5 papers · 1 filter
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…
A Faster Interior Point Method for Semidefinite Programming
Haotian Jiang, Tarun Kathuria, Yin Tat Lee +2
Semidefinite programs (SDPs) are a fundamental class of optimization problems with important recent applications in approximation algorithms, quantum complexity, robust learning, a…
A Potential Reduction Inspired Algorithm for Exact Max Flow in Almost Time
Tarun Kathuria
We present an algorithm for computing - maximum flows in directed graphs in time. Our algorithm is inspired by potential reduction interi…
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…
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…