Pierre Youssef

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20152026

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

3 citations · 9 across the 16 of their papers we have counts for

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Showing 2025 · math.PRShow all

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math.PR2025

Central limit theorem for $ε$ -independent products and higher-order tensors

Guillaume Cébron, Patrick Oliveira Santos, Pierre Youssef

We establish a central limit theorem (CLT) for families of products of $ε$ -independent random variables. We utilize graphon limits to encode the evolution of independence and chara…

math.PR2025

Intrinsic regularity in the discrete log-Sobolev inequality

Justin Salez, Pierre Youssef

The chain rule lies at the heart of the powerful Gamma calculus for Markov diffusions on manifolds, providing remarkable connections between several fundamental notions such as Bak…

Central limit theorem for ε-independent products and higher-order tensors

Intrinsic regularity in the discrete log-Sobolev inequality

Central limit theorem for $ε$ -independent products and higher-order tensors