Local search with random Gaussian acceptance thresholds provably recovers planted sparse tensor signals down to the conjectured algorithmic threshold in several sparsity regimes.
Algorithmic thresholds for tensor pca
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Almost-Optimal Local-Search Methods for Sparse Tensor PCA
Local search with random Gaussian acceptance thresholds provably recovers planted sparse tensor signals down to the conjectured algorithmic threshold in several sparsity regimes.