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math.OC2022★ 1 cited
On the Convergence Analysis of DCA
Yi-Shuai Niu
Difference-of-Convex (DC) programming, which seeks to minimize a function expressed as the difference of two convex functions, arises in a wide range of applications in machine lea…
math.OC2022
A Variable Metric and Nesterov Extrapolated Proximal DCA with Backtracking for A Composite DC Program
Yu You, Yi-Shuai Niu
In this paper, we consider a composite difference-of-convex (DC) program, whose objective function is the sum of a smooth convex function with Lipschitz continuous gradient, a prop…
math.OC2022
A Boosted-DCA with Power-Sum-DC Decomposition for Linearly Constrained Polynomial Programs
Hu Zhang, Yi-Shuai Niu
This paper proposes a novel Difference-of-Convex (DC) decomposition for polynomials using a power-sum representation, achieved by solving a sparse linear system. We introduce the B…