Ludovic Stephan

activity

20182025

most citedGaussian Universality of Perceptrons with Random Labels

17 citations · 67 across the 16 of their papers we have counts for

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3 papers · 1 filter

math.ST2023★ 1 cited

A non-backtracking method for long matrix and tensor completion

Ludovic Stephan, Yizhe Zhu

We consider the problem of low-rank rectangular matrix completion in the regime where the matrix $M$ of size $n \times m$ is ``long", i.e., the aspect ratio $m / n$ diverges to infini…

math.ST2023

Universality laws for Gaussian mixtures in generalized linear models

Yatin Dandi, Ludovic Stephan, Florent Krzakala +2

Let $(x_{i}, y_{i})_{i = 1, \dots, n}$ denote independent samples from a general mixture distribution $\sum_{c \in C} ρ_{c} P_{c}^{x}$ , and consider the hypothesis class of gener…

math.ST2023★ 4 cited

Are Gaussian data all you need? Extents and limits of universality in high-dimensional generalized linear estimation

Luca Pesce, Florent Krzakala, Bruno Loureiro +1

In this manuscript we consider the problem of generalized linear estimation on Gaussian mixture data with labels given by a single-index model. Our first result is a sharp asymptot…