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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.OC2025
Composite Optimization with Indicator Functions: Stationary Duality and a Semismooth Newton Method
Penghe Zhang, Naihua Xiu, Houduo Qi
Indicator functions of taking values of zero or one are essential to numerous applications in machine learning and statistics. The corresponding primal optimization model has been…
math.OC2023
iNALM: An inexact Newton Augmented Lagrangian Method for Zero-One Composite Optimization
Penghe Zhang, Naihua Xiu, Hou-Duo Qi
Zero-One Composite Optimization (0/1-COP) is a prototype of nonsmooth, nonconvex optimization problems and it has attracted much attention recently. The augmented Lagrangian Method…