366 citations · 1.8k across the 46 of their papers we have counts for
5 papers · 1 filter
Quantum Optimal Transport for Tensor Field Processing
Gabriel Peyré, Lenaïc Chizat, François-Xavier Vialard +1
This article introduces a new notion of optimal transport (OT) between tensor fields, which are measures whose values are positive semidefinite (PSD) matrices. This "quantum" formu…
Sparse Support Recovery with Non-smooth Loss Functions
Kévin Degraux, Gabriel Peyré, Jalal M. Fadili +1
In this paper, we study the support recovery guarantees of underdetermined sparse regression using the -norm as a regularizer and a non-smooth loss function for data fideli…
Bayesian Modeling of Motion Perception using Dynamical Stochastic Textures
Jonathan Vacher, Andrew Isaac Meso, Laurent U. Perrinet +1
A common practice to account for psychophysical biases in vision is to frame them as consequences of a dynamic process relying on optimal inference with respect to a generative mod…
A Multi-step Inertial Forward--Backward Splitting Method for Non-convex Optimization
Jingwei Liang, Jalal Fadili, Gabriel Peyré
In this paper, we propose a multi-step inertial Forward--Backward splitting algorithm for minimizing the sum of two non-necessarily convex functions, one of which is proper lower s…
Stochastic Optimization for Large-scale Optimal Transport
Genevay Aude, Marco Cuturi, Gabriel Peyré +1
Optimal transport (OT) defines a powerful framework to compare probability distributions in a geometrically faithful way. However, the practical impact of OT is still limited becau…