3 problems
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Refuting planted CSPs requires nearly square-root sample complexity
Let be constants, let be any distribution over -clauses with variables and complexity , and let . Define the noisy planted distribution by … where…
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Computational indistinguishability conjecture for planted and unplanted number partitioning
Computational indistinguishability conjecture. While the two versions are statistically distinguishable, it is impossible to distinguish them in polynomial time with non-trivial er…
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The minimax-rate conjecture for hidden clique inference in the planted Sherrington–Kirkpatrick model
The pRFCW and pSK models have matching lower and upper bounds in the relevant high-temperature, large-clique regime. Minimax-rate conjecture. The minimax optimal rate for the plant…