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• W2890756696 abstract "Quadratic programming (QP) is a common and important constrained optimization problem. Here, we derive a surprising duality between constrained optimization with inequality constraints, of which QP is a special case, and consumer resource models describing ecological dynamics. Combining this duality with a recent cavity solution, we analyze high-dimensional, random QP where the optimization function and constraints are drawn randomly. Our theory shows remarkable agreement with numerics and points to a deep connection between optimization, dynamical systems, and ecology." @default.
• W2890756696 created "2018-09-27" @default.
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• W2890756696 date "2019-05-13" @default.
• W2890756696 modified "2023-10-14" @default.
• W2890756696 title "Constrained optimization as ecological dynamics with applications to random quadratic programming in high dimensions" @default.
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• W2890756696 doi "https://doi.org/10.1103/physreve.99.052111" @default.
• W2890756696 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/6717431" @default.
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