3 papers
math.OC2026
Newton Method for Soft Quadratic Surface Support Vector Machine with 0-1 Loss Function
Guoping Li, Wen Song
A nonlinear kernel-free soft quadratic surface support vector machine model with 0-1 loss function (-SQSSVM) is proposed for binary classification problems, which is non-c…
math.OC2025
Twice Epi-Differentiability of Orthogonally Invariant Matrix Functions and Application
Jiahuan He, Chao Kan, Wen Song
In this paper, our focus lies on the study of the second-order variational analysis of orthogonally invariant matrix functions. It is well-known that an orthogonally invariant matr…
math.OC2024
On Solution Uniqueness and Robust Recovery for Sparse Regularization with a Gauge: from Dual Point of View
Jiahuan He, Chao Kan, Wen Song
In this paper, we focus on the exploration of solution uniqueness, sharpness, and robust recovery in sparse regularization with a gauge . Based on the criteria for the uniquenes…