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Fundamental limits of Non-Linear Low-Rank Matrix Estimation
We consider the task of estimating a low-rank matrix from non-linear and noisy observations.
Spectral Phase Transition and Optimal PCA in Block-Structured Spiked models
We discuss the inhomogeneous spiked Wigner model, a theoretical framework recently introduced to study structured noise in various learning scenarios, through the prism of random matrix theory, with a specific focus on its spectral properties.
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