no code implementations • 31 Jul 2023 • Francesco Camilli, Marc Mézard
Matrix factorization is an inference problem that has acquired importance due to its vast range of applications that go from dictionary learning to recommendation systems and machine learning with deep networks.
no code implementations • 11 Jul 2023 • Francesco Camilli, Daria Tieplova, Jean Barbier
We carry out an information-theoretical analysis of a two-layer neural network trained from input-output pairs generated by a teacher network with matching architecture, in overparametrized regimes.
no code implementations • 5 Dec 2022 • Francesco Camilli, Marc Mézard
Matrix factorization is an important mathematical problem encountered in the context of dictionary learning, recommendation systems and machine learning.
1 code implementation • 3 Oct 2022 • Jean Barbier, Francesco Camilli, Marco Mondelli, Manuel Saenz
To answer this, we study the paradigmatic spiked matrix model of principal components analysis (PCA), where a rank-one matrix is corrupted by additive noise.