1 citations · 1 across the 4 of their papers we have counts for
4 papers
One-sided large deviations for the ground-state energy of spin glasses
Hong-Bin Chen, Alice Guionnet, Justin Ko +2
We describe the large deviations above its typical value of the maximal energy of a spin glass with +/-1 spins. Thanks to the relatively explicit description of the rate function w…
Fundamental limits of Non-Linear Low-Rank Matrix Estimation
Pierre Mergny, Justin Ko, Florent Krzakala +1
We consider the task of estimating a low-rank matrix from non-linear and noisy observations. We prove a strong universality result showing that Bayes-optimal performances are chara…
Spectral Phase Transition and Optimal PCA in Block-Structured Spiked models
Pierre Mergny, Justin Ko, Florent Krzakala
We discuss the inhomogeneous spiked Wigner model, a theoretical framework recently introduced to study structured noise in various learning scenarios, through the prism of random m…
Spectral Phase Transitions in Non-Linear Wigner Spiked Models
Alice Guionnet, Justin Ko, Florent Krzakala +2
We study the asymptotic behavior of the spectrum of a random matrix where a non-linearity is applied entry-wise to a Wigner matrix perturbed by a rank-one spike with independent an…