212 citations · 1.4k across the 61 of their papers we have counts for
73 papers
Bayesian Extensive-Rank Matrix Factorization with Rotational Invariant Priors
Farzad Pourkamali, Nicolas Macris
We consider a statistical model for matrix factorization in a regime where the rank of the two hidden matrix factors grows linearly with their dimension and their product is corrup…
Matrix Inference in Growing Rank Regimes
Farzad Pourkamali, Jean Barbier, Nicolas Macris
The inference of a large symmetric signal-matrix corrupted by additive Gaussian noise, is considered for two regimes of growth of the rank $…
Rectangular Rotational Invariant Estimator for General Additive Noise Matrices
Farzad Pourkamali, Nicolas Macris
We propose a rectangular rotational invariant estimator to recover a real matrix from noisy matrix observations coming from an arbitrary additive rotational invariant perturbation,…
Gradient flow on extensive-rank positive semi-definite matrix denoising
Antoine Bodin, Nicolas Macris
In this work, we present a new approach to analyze the gradient flow for a positive semi-definite matrix denoising problem in an extensive-rank and high-dimensional regime. We use…
Gradient flow in the gaussian covariate model: exact solution of learning curves and multiple descent structures
Antoine Bodin, Nicolas Macris
A recent line of work has shown remarkable behaviors of the generalization error curves in simple learning models. Even the least-squares regression has shown atypical features suc…
On the convergence to the non-equilibrium steady state of a Langevin dynamics with widely separated time scales and different temperatures
Diego Alberici, Nicolas Macris, Emanuele Mingione
We study the solution of the two-temperatures Fokker-Planck equation and rigorously analyse its convergence towards an explicit non-equilibrium stationary measure for long time and…