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math.OC2026
A Proximal Point Semismooth Newton Algorithm for Structural Composite Cardinality Optimization
Penghe Zhang, Naihua Xiu, Houduo Qi
Many image-processing problems can be formulated as composite cardinality optimization (CCOP), whose objective is the sum of two convex terms and a cardinality function composed wi…
math.OC2026
On the Stationary Duality of Structural Composite Cardinality Optimization
Penghe Zhang, Naihua Xiu, Houduo Qi
Simple cardinality refers to counting nonzero elements of an independent variable satisfying certain properties. Composite cardinality is a simple counting process composited with…
cs.LG2026
Local Duality for Sparse Support Vector Machines
Penghe Zhang, Naihua Xiu, Houduo Qi
Due to the rise of cardinality minimization in optimization, sparse support vector machines (SSVMs) have attracted much attention lately and show certain empirical advantages over…