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math.OC2026
Solution Set Dimensions in Convex Optimization and Primal-Polar Facial Signatures
Jiaming Ma, Defeng Sun
We study the possible dimensions of solution sets in linearly perturbed convex optimization problems and their behavior under convex duality. The dimensions of solution sets and in…
math.OC2026
A Level Set Method with Secant Iterations for the Least-Squares Constrained Nuclear Norm Minimization
Chiyu Ma, Jiaming Ma, Defeng Sun
We present an efficient algorithm for least-squares constrained nuclear norm minimization, a computationally challenging problem with broad applications. Our approach combines a le…