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math.OC2024
Solving cluster moment relaxation with hierarchical matrix
Yi Wang, Rizheng Huang, Yuehaw Khoo
Convex relaxation methods are powerful tools for studying the lowest energy of many-body problems. By relaxing the representability conditions for marginals to a set of local const…
math.OC2024
S-SOS: Stochastic Sum-Of-Squares for Parametric Polynomial Optimization
Richard L. Zhu, Mathias Oster, Yuehaw Khoo
Global polynomial optimization is an important tool across applied mathematics, with many applications in operations research, engineering, and physical sciences. In various settin…