7 citations · 7 across the 7 of their papers we have counts for
3 papers · 1 filter
An Efficient Framework for Global Non-Convex Polynomial Optimization with Algebraic Constraints
Mitchell Tong Harris, Pierre-David Letourneau, Dalton Jones +1
We present an efficient framework for solving algebraically-constrained global non-convex polynomial optimization problems over subsets of the hypercube. We prove the existence of…
A Sparse Fast Chebyshev Transform for High-Dimensional Approximation
Dalton Jones, Pierre-David Letourneau, Matthew J. Morse +1
We present the Fast Chebyshev Transform (FCT), a fast, randomized algorithm to compute a Chebyshev approximation of functions in high-dimensions from the knowledge of the location…
An Efficient Framework for Global Non-Convex Polynomial Optimization over the Hypercube
Pierre-David Letourneau, Dalton Jones, Matthew Morse +1
We present a novel efficient theoretical and numerical framework for solving global non-convex polynomial optimization problems. We analytically demonstrate that such problems can…