State Evolution for Approximate Message Passing with Non-Separable Functions. - Raphaël Berthier; Andrea Montanari; Phan-Minh Nguyen (CoRR, 2017)

Gossip of Statistical Observations using Orthogonal Polynomials. - Raphaël Berthier; Francis R. Bach; Pierre Gaillard (CoRR, 2018)

Tight Nonparametric Convergence Rates for Stochastic Gradient Descent under the Noiseless Linear Model. - Raphaël Berthier; Francis R. Bach; Pierre Gaillard (NeurIPS, 2020)

Accelerated Gossip in Networks of Given Dimension Using Jacobi Polynomial Iterations. - Raphaël Berthier; Francis R. Bach; Pierre Gaillard (SIAM J. Math. Data Sci., 2020)

Continuized Accelerations of Deterministic and Stochastic Gradient Descents, and of Gossip Algorithms. - Mathieu Even; Raphaël Berthier; Francis R. Bach; Nicolas Flammarion; Hadrien Hendrikx; Pierre Gaillard; Laurent Massoulié; Adrien B. Taylor (NeurIPS, 2021)

A Continuized View on Nesterov Acceleration. - Raphaël Berthier; Francis R. Bach; Nicolas Flammarion; Pierre Gaillard; Adrien B. Taylor (CoRR, 2021)

A Continuized View on Nesterov Acceleration for Stochastic Gradient Descent and Randomized Gossip. - Mathieu Even; Raphaël Berthier; Francis R. Bach; Nicolas Flammarion; Pierre Gaillard; Hadrien Hendrikx; Laurent Massoulié; Adrien B. Taylor (CoRR, 2021)

Graph-based Approximate Message Passing Iterations. - Cédric Gerbelot; Raphaël Berthier (CoRR, 2021)

Analysis and Acceleration of Gradient Descents and Gossip Algorithms. (Analyse et Accélération des Descentes de Gradient et des Algorithmes de Gossip). - Raphaël Berthier (2021)

Acceleration of Gossip Algorithms through the Euler-Poisson-Darboux Equation. - Raphaël Berthier; Mufan (Bill) Li (CoRR, 2022)

Leveraging the two-timescale regime to demonstrate convergence of neural networks. - Pierre Marion; Raphaël Berthier (NeurIPS, 2023)

Learning time-scales in two-layers neural networks. - Raphaël Berthier; Andrea Montanari; Kangjie Zhou (CoRR, 2023)

Incremental Learning in Diagonal Linear Networks. - Raphaël Berthier (J. Mach. Learn. Res., 2023)

On the Minimal Degree Bias in Generalization on the Unseen for non-Boolean Functions. - Denys Pushkin; Raphaël Berthier; Emmanuel Abbe (ICML, 2024)

Attention layers provably solve single-location regression. - Pierre Marion; Raphaël Berthier; Gérard Biau; Claire Boyer (ICLR, 2025)