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From low-degree hardness to unconditional polynomial-time hardness

Sourced from the work of Guanyi Chen, Jian Ding, Shuyang Gong, Zhangsong Li

§ Problem Statement

§ Discussion

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§ Significance & Implications

§ Known Partial Results

§ References

[1]

A Computational Transition for Detecting Correlated Stochastic Block Models by Low-Degree Polynomials

Guanyi Chen, Jian Ding, Shuyang Gong, Zhangsong Li (2024)

Annals of Statistics (to appear)

📍 Section 1 (Introduction), Theorem 1.3 (informal), item (2) with the adjacent “lack of complexity-theoretic tools” discussion (lines introducing the gap to polynomial-time hardness), p. 3

Source paper where this problem appears.

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