Pierre Youssef

activity

20152026

most citedHow Bad is Training on Synthetic Data? A Statistical Analysis of Language Model Collapse

3 citations · 4 across the 11 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.PR2019

Matrix Poincaré inequalities and concentration

Richard Aoun, Marwa Banna, Pierre Youssef

We show that any probability measure satisfying a Matrix Poincaré inequality with respect to some reversible Markov generator satisfies an exponential matrix concentration inequali…

math.PR2019

Outliers in spectrum of sparse Wigner matrices

Konstantin Tikhomirov, Pierre Youssef

In this paper, we study the effect of sparsity on the appearance of outliers in the semi-circular law. Let $(W_{n})_{n = 1}^{\infty}$ be a sequence of random symmetric matrices such that…