Sum of Squares Lower Bounds from Pairwise Independence

Author:

Barak Boaz1,Chan Siu On1,Kothari Pravesh K.2

Affiliation:

1. Microsoft Research New England, Cambridge, MA, USA

2. The University of Texas at Austin, Austin, TX, USA

Publisher

ACM

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1. How Random CSPs Fool Hierarchies;Proceedings of the 56th Annual ACM Symposium on Theory of Computing;2024-06-10

2. Sum-of-Squares Lower Bounds for Independent Set on Ultra-Sparse Random Graphs;Proceedings of the 56th Annual ACM Symposium on Theory of Computing;2024-06-10

3. Efficient Algorithms for Semirandom Planted CSPs at the Refutation Threshold;2023 IEEE 64th Annual Symposium on Foundations of Computer Science (FOCS);2023-11-06

4. Explicit Lower Bounds Against Ω(n)-Rounds of Sum-of-Squares;2022 IEEE 63rd Annual Symposium on Foundations of Computer Science (FOCS);2022-10

5. Algorithms and certificates for Boolean CSP refutation: smoothed is no harder than random;Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing;2022-06-09

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