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Universality of Approximate Message Passing on Semi-random MatricesDeep Learning Theory Workshop and Summer School 20222022-08-01
Claim: AMP iterates on semi‑random matrices M = S Ψ S (diagonal ±1 signing with deterministic Ψ that is delocalized and ΨΨᵀ ≈ σ²I entrywise) produce the same…
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The Overlap Gap Property in Principal Submatrix RecoveryComputational Phase Transitions (Simons Institute, 2020)2020-09-21
Model: n×n Gaussian matrix with an nρ×nρ planted submatrix of mean λ/n. Information-theoretic boundary shows approximate recovery threshold at λ about 2√(1/ρ ·…
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