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math.OC2021
Iterated Vector Fields and Conservatism, with Applications to Federated Learning
Zachary Charles, Keith Rush
We study whether iterated vector fields (vector fields composed with themselves) are conservative. We give explicit examples of vector fields for which this self-composition preser…
math.OC2017
Exploiting Algebraic Structure in Global Optimization and the Belgian Chocolate Problem
Zachary Charles, Nigel Boston
The Belgian chocolate problem involves maximizing a parameter δ over a non-convex region of polynomials. In this paper we detail a global optimization method for this problem that…