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Presented By: Variational Analysis and Optimization Seminar - Department of Mathematics

Sharp, strong, and unique minimizers for low complexity robust recovery

Nghia Tran, Oakland University

In this talk, we show the important roles of sharp minima and strong minima for robust recovery. We also obtain several characterizations of sharp minima for convex regularized optimization problems. Our characterizations are quantitative and verifiable, especially for the case of decomposable norm regularized problems including sparsity, group-sparsity, and low-rank convex problems. For group-sparsity optimization problems, we show that a unique solution is a strong solution and obtain quantitative characterizations for solution uniqueness.

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February 10, 2023 (Friday) 9:00am
Meeting ID: 92332350184
Meeting Password: 123456

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