A Sum-of-Squares Hierarchy in the Absence of Pointwise Proofs I: Energy Certificates

JS Sandhu, J Shi - arXiv preprint arXiv:2401.14383, 2024 - arxiv.org
We devise a parameterized family of distributions, the high-entropy step distributions (HES),
which are expressive enough to capture near-optima of spherical spin glass models in the …

[图书][B] NISQ Hardness and Convex Relaxations: Random Max-CSPs and Mean-Field Spin Glasses

JS Sandhu - 2023 - search.proquest.com
Abstract The Unique-Games Conjecture (UGC) is a central open-question in theoretical
computer science. If true, it implies optimal inapproximability results for every Max-CSP …