5 papers
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…
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…
On the -order Semismoothness of the Metric Projection onto Slices of the Positive Semidefinite Cone
Ruoning Chen, Jiaming Ma, Defeng Sun
The metric projection onto the positive semidefinite (PSD) cone is strongly semismooth, a property that guarantees local quadratic convergence for many powerful algorithms in semid…
The Aubin Property for Generalized Equations over -cone Reducible Sets
Jiaming Ma, Defeng Sun
This paper establishes the equivalence between the Aubin property and strong regularity for generalized equations over -cone reducible sets. This result resolves a long-standi…
Randomly Projected Convex Clustering Model: Motivation, Realization, and Cluster Recovery Guarantees
Ziwen Wang, Yancheng Yuan, Jiaming Ma +2
In this paper, we propose a randomly projected convex clustering model for clustering a collection of high dimensional data points in with hidden clusters. C…