Introduces a TAP-motivated framework and constructs explicit parameter-free spectral algorithms that achieve strong detection and weak recovery thresholds in three canonical correlated two-view models with matching lower bounds.
Phase transitions in sparse PCA
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For a spiked Wigner model with power-law inhomogeneous noise variances, the BBP transition is non-monotonic and inhomogeneous noise can enhance signal detectability.
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Optimal Spectral Algorithms for Correlated Two-view Models in High Dimensions
Introduces a TAP-motivated framework and constructs explicit parameter-free spectral algorithms that achieve strong detection and weak recovery thresholds in three canonical correlated two-view models with matching lower bounds.
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BBP transition and the leading eigenvector of the spiked Wigner model with inhomogeneous noise
For a spiked Wigner model with power-law inhomogeneous noise variances, the BBP transition is non-monotonic and inhomogeneous noise can enhance signal detectability.