The decimation scheme for symmetric matrix factorization
From MaRDI portal
Publication:6190382
DOI10.1088/1751-8121/AD2299arXiv2307.16564OpenAlexW4391213591WikidataQ129309630 ScholiaQ129309630MaRDI QIDQ6190382
Francesco Camilli, Marc Mézard
Publication date: 5 March 2024
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2307.16564
Cites Work
- The singular values and vectors of low rank perturbations of large rectangular random matrices
- The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices
- On sample eigenvalues in a generalized spiked population model
- Self-organization and associative memory
- The largest eigenvalue of small rank perturbations of Hermitian random matrices
- The largest eigenvalues of finite rank deformation of large Wigner matrices: Convergence and nonuniversality of the fluctuations
- Addition of certain non-commuting random variables
- Fundamental limits of symmetric low-rank matrix estimation
- On the distribution of the largest eigenvalue in principal components analysis
- Fundamental limits of detection in the spiked Wigner model
- The adaptive interpolation method: a simple scheme to prove replica formulas in Bayesian inference
- The largest eigenvalue of rank one deformation of large Wigner matrices
- Eigenvalues of large sample covariance matrices of spiked population models
- Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
- Rotational Invariant Estimator for General Noisy Matrices
- Phase Transitions and Sample Complexity in Bayes-Optimal Matrix Factorization
- Robust principal component analysis?
- Statistical mechanics of Hopfield-like neural networks with modified interactions
- Dictionary Learning Algorithms for Sparse Representation
- Bilinear Generalized Approximate Message Passing—Part I: Derivation
- Bilinear Generalized Approximate Message Passing—Part II: Applications
- The adaptive interpolation method for proving replica formulas. Applications to the Curie–Weiss and Wigner spike models
- Perturbative construction of mean-field equations in extensive-rank matrix factorization and denoising
- Dreaming neural networks: rigorous results
- Iterative reconstruction of rank-one matrices in noise
- The Power of Convex Relaxation: Near-Optimal Matrix Completion
- Neural networks and physical systems with emergent collective computational abilities.
- A CDMA multiuser detection algorithm on the basis of belief propagation
- Multi-Layer Bilinear Generalized Approximate Message Passing
This page was built for publication: The decimation scheme for symmetric matrix factorization
