Information limits and Thouless-Anderson-Palmer equations for spiked matrix models with structured noise
We consider a prototypical problem of Bayesian inference for a structured spiked model: a low-rank signal is corrupted by additive noise. While both information-theoretic and algorithmic limits are well understood when the noise is a Gaussian Wigner matrix, the more realistic case of structured nois...
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Main Authors: | Jean Barbier, Francesco Camilli, Yizhou Xu, Marco Mondelli |
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Format: | Article |
Language: | English |
Published: |
American Physical Society
2025-01-01
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Series: | Physical Review Research |
Online Access: | http://doi.org/10.1103/PhysRevResearch.7.013081 |
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