Search Results for author: Tony Bonnaire

Found 3 papers, 1 papers with code

From Zero to Hero: How local curvature at artless initial conditions leads away from bad minima

no code implementations4 Mar 2024 Tony Bonnaire, Giulio Biroli, Chiara Cammarota

Through both theoretical analysis and numerical experiments, we show that in practical cases, i. e. for finite but even very large $N$, successful optimization via gradient descent in phase retrieval is achieved by falling towards the good minima before reaching the bad ones.

Retrieval

Dynamical Regimes of Diffusion Models

no code implementations28 Feb 2024 Giulio Biroli, Tony Bonnaire, Valentin De Bortoli, Marc Mézard

Using statistical physics methods, we study generative diffusion models in the regime where the dimension of space and the number of data are large, and the score function has been trained optimally.

Regularization of Mixture Models for Robust Principal Graph Learning

1 code implementation16 Jun 2021 Tony Bonnaire, Aurélien Decelle, Nabila Aghanim

A regularized version of Mixture Models is proposed to learn a principal graph from a distribution of $D$-dimensional data points.

Graph Learning

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