Estimating rank-one matrices with mismatched prior and noise: universality and large deviations

DOI10.1007/S00220-024-05179-0MaRDI QIDQ6659449

Florent Krzakala, Alice Guionnet, Justin Ko, Lenka Zdeborová

Publication date: 9 January 2025

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Equilibrium statistical mechanics (82Bxx) Applications of statistical mechanics to specific types of physical systems (82Dxx) Special processes (60Kxx)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Chaos in temperature in generic \(2p\)-spin models
Some properties of the phase diagram for mixed \(p\)-spin glasses
Large deviations for the largest eigenvalue of Rademacher matrices
Concentration of the spectral measure for large matrices
Information-theoretic thresholds from the cavity method
Spectral gap estimates in mean field spin glasses
Fundamental limits of symmetric low-rank matrix estimation
Free energy in the Potts spin Glass
Free energy in the mixed \(p\)-spin models with vector spins
Broken replica symmetry bounds in the mean field spin glass model
A new look at independence
The Parisi ultrametricity conjecture
Hamilton-Jacobi equations for mean-field disordered systems
The \(\ell^p\)-Gaussian-Grothendieck problem with vector spins
Hamilton-Jacobi equations for inference of matrix tensor products
Free energy of multiple systems of spherical spin glasses with constrained overlaps
The solution of the deep Boltzmann machine on the Nishimori line
On properties of Parisi measures
On the mixed even-spin Sherrington-Kirkpatrick model with ferromagnetic interaction
Universality in Sherrington-Kirkpatrick's spin glass model
The Parisi formula
Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
Temperature chaos in some spherical mixed \(p\)-spin models
Statistical thresholds for tensor PCA
The multi-species mean-field spin-glass on the Nishimori line
Conditional Random Fields, Planted Constraint Satisfaction and Entropy Concentration
Phase transitions in semidefinite relaxations
Constrained low-rank matrix estimation: phase transitions, approximate message passing and applications
Information, Physics, and Computation
An Introduction to Random Matrices
General properties of overlap probability distributions in disordered spin systems. Towards Parisi ultrametricity
Asymptotic mutual information for the balanced binary stochastic block model
Information-Theoretic Bounds and Phase Transitions in Clustering, Sparse PCA, and Submatrix Localization
The Sherrington-Kirkpatrick Model
Mutual information for low-rank even-order symmetric tensor estimation
Overlap matrix concentration in optimal Bayesian inference
Dynamics of mean field spin glasses on short and long timescales
On Consistency and Sparsity for Principal Components Analysis in High Dimensions
Large deviations of glassy effective potentials
Shattering versus metastability in spin glasses
Statistical mechanics of the maximum-average submatrix problem

This page was built for publication: Estimating rank-one matrices with mismatched prior and noise: universality and large deviations

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6659449)