Exact Procrustes matching of n Gaussian vectors in d≥polylog(n) dimensions is achievable in polynomial time whenever the correlation satisfies ρ²>√α≈0.58, via counting wide trees.
Tensor principal component analysis via sum-of-square proofs
2 Pith papers cite this work. Polarity classification is still indexing.
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Sharp conditions for exact recovery of general planted subgraphs in ER graphs are given by the minimal maximum subgraph density, with matching bounds, a spectral algorithm, and computational hardness results via low-degree polynomials.
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High-Dimensional Procrustes Matching via Tree Counts
Exact Procrustes matching of n Gaussian vectors in d≥polylog(n) dimensions is achievable in polynomial time whenever the correlation satisfies ρ²>√α≈0.58, via counting wide trees.
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Recovery of Planted Subgraphs
Sharp conditions for exact recovery of general planted subgraphs in ER graphs are given by the minimal maximum subgraph density, with matching bounds, a spectral algorithm, and computational hardness results via low-degree polynomials.