Mon, 29 Apr 2019
15:45 -
16:45
L3
Inference of a large rank-one matrix and Hamilton-Jacobi equations
JEAN-CHRISTOPHE MOURRAT
(ENS FRANCE)
Abstract
We observe a noisy version of a large rank-one matrix. Depending on the strength of the noise, can we recover non-trivial information on the matrix? This problem, interesting on its own, will be motivated by its link with a "spin glass" model, which is a model of statistical mechanics where a large number of variables interact with one another, with random interactions that can be positive or negative. The resolution of the initial question will involve a Hamilton-Jacobi equation