Search Results for author: Francesco Camilli

Found 4 papers, 1 papers with code

The Decimation Scheme for Symmetric Matrix Factorization

no code implementations31 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.

Dictionary Learning Recommendation Systems

Fundamental limits of overparametrized shallow neural networks for supervised learning

no code implementations11 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.

Matrix factorization with neural networks

no code implementations5 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.

Dictionary Learning Recommendation Systems

Bayes-optimal limits in structured PCA, and how to reach them

1 code implementation3 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.

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