Potential Hessian Ascent: The Sherrington-Kirkpatrick Model

D Jekel, JS Sandhu, J Shi - Proceedings of the 2025 Annual ACM-SIAM …, 2025 - SIAM
We present the first iterative spectral algorithm to find near-optimal solutions for a random
quadratic objective over the discrete hypercube, resolving a conjecture of Subag [Sub21] …

A Class of Freely Complemented von Neumann Subalgebras of

N Boschert, E Davis, P Hiatt - arXiv preprint arXiv:2411.05136, 2024 - arxiv.org
We prove that if $ A_1, A_2,\dots, A_n $ are tracial abelian von Neumann algebras for $2\leq
n\leq\infty $ and $ M= A_1*\cdots* A_n $ is their free product, then any subalgebra …