141 citations · 238 across the 33 of their papers we have counts for
12 papers · 1 filter
Small Ball Probabilities for Simple Random Tensors
Xuehan Hu, Grigoris Paouris
We study the small ball probability of an order- simple random tensor where are independent random vecto…
Non-asymptotic Results for Singular Values of Gaussian Matrix Products
Boris Hanin, Grigoris Paouris
This article concerns the non-asymptotic analysis of the singular values (and Lyapunov exponents) of Gaussian matrix products in the regime where the number of term in the pro…
Stable recovery and the coordinate small-ball behaviour of random vectors
Shahar Mendelson, Grigoris Paouris
Recovery procedures in various application in Data Science are based on \emph{stable point separation}. In its simplest form, stable point separation implies that if is "far aw…
A Gaussian small deviation inequality for convex functions
Grigoris Paouris, Petros Valettas
Let be an -dimensional Gaussian vector and let be a convex function. We show that: $$\mathbb P \left( f(Z) \leq \mathbb E f(Z) -t\sqrt{ {\rm V…
Probabilistic Condition Number Estimates For Real Polynomial Systems I: A Broader Family Of Distributions
Alperen A. Ergür, J. Maurice Rojas, Grigoris Paouris
We consider the sensitivity of real roots of polynomial systems with respect to perturbations of the coefficients. In particular - for a version of the condition number defined by…
An interpolation proof of Ehrhard's inequality
Joe Neeman, Grigoris Paouris
We prove Ehrhard's inequality using interpolation along the Ornstein-Uhlenbeck semi-group. We also provide an improved Jensen inequality for Gaussian variables that might be of ind…