Rank-One Signal Recovery in Sparse Wishart Noise

arXiv:2609.28163 · cond-mat.dis-nn, cond-mat.stat-mech, math-ph, math.MP, stat.ML · Submitted 2026-09-23 · Read on arXiv

cond-mat.dis-nn, cond-mat.stat-mech, math-ph, math.MP, stat.ML

Submitted: 2026-09-23

Updated: 2026-09-23

Terminology

• Adjacency Matrix — 9× in this paper · explained in 1 episode
• Consistency — 4× in this paper · explained in 3 episodes
• Principal Component Analysis — 4× in this paper
• Sparsity — 4× in this paper · explained in 4 episodes
• Self-consistency — 3× in this paper · explained in 2 episodes
• Clustering — 2× in this paper · explained in 2 episodes
• Computational Biology — 2× in this paper · explained in 2 episodes
• Gradient Flow — 2× in this paper · explained in 2 episodes
• Phase Transitions — 1× in this paper · explained in 2 episodes
• Principal Component Analysis (PCA) — 1× in this paper · explained in 4 episodes
• Spectral Gap — 1× in this paper · explained in 5 episodes
• Spectral clustering — 1× in this paper · explained in 2 episodes

Sources

• Random Matrix Theory of Early-Stopped Gradient Flow: A Transient BBP Scenario
• Sparse corruption in low-rank matrix inference: the PCA benchmark
• Spectral phase transitions and trainability in neural network learning dynamics
• Discontinuous BBP transitions
• BBP transition and the leading eigenvector of the spiked Wigner model with inhomogeneous noise
• Spectral properties of complex networks
• BBP Phase Transition for a Doubly Sparse Deformed Model

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