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math.OC2026
Bridging Identification and Second-Order Acceleration: A Fast Alternating Minimization Framework for Composite Optimization
Zihao Xia, Min Tao
We consider a class of composite optimization problems involving a smooth function and a proper, lower semicontinuous regularizer, which may be nonconvex and nonsmooth. We propose…
math.OC2024
On NP-Hardness of Minimization and Bound Theory of Nonzero Entries in Solutions
Min Tao, Xiao-Ping Zhang, Yun-Bin Zhao
The \(L_1/L_2\) norm ratio has gained significant attention as a measure of sparsity due to three merits: sharper approximation to the \(L_0\) norm compared to the \(L_1\) norm, be…
math.OC2024
On Partly Smoothness, Activity Identification and Faster Algorithms of over Minimization
Min Tao, Xiao-Ping Zhang, Zi-Hao Xia
The norm ratio arose as a sparseness measure and attracted a considerable amount of attention due to three merits: (i) sharper approximations of compared to the $L_…