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Solution uniqueness of convex optimization problems via the radial cone
Jalal Fadili, Tran T. A. Nghia, Duy Nhat Phan
In this paper, we mainly study solution uniqueness of some convex optimization problems. Our characterizations of solution uniqueness are in terms of the radial cone. This approach…
Geometric characterizations for strong minima with applications to nuclear norm minimization problems
Jalal Fadili, Tran T. A. Nghia, Duy Nhat Phan
In this paper, we introduce several geometric characterizations for strong minima of optimization problems. Applying these results to nuclear norm minimization problems allows us t…
Stochastic Variance-Reduced Majorization-Minimization Algorithms
Duy-Nhat Phan, Sedi Bartz, Nilabja Guha +1
We study a class of nonconvex nonsmooth optimization problems in which the objective is a sum of two functions: One function is the average of a large number of differentiable func…