3 papers
math.OC2025
A preconditioned second-order convex splitting algorithm with extrapolation
Xinhua Shen, Hongpeng Sun
Nonconvex optimization problems are widespread in modern machine learning and data science. We introduce an extrapolation strategy into a class of preconditioned second-order conve…
math.OC2024
A boosted second-order convex splitting algorithm based on gradient flows
Xinhua Shen, Zaijiu Shang, Hongpeng Sun
This paper introduces a second-order convex splitting scheme for gradient flows arising in phase-field models, based on the backward differentiation formula (BDF2) for the implicit…
math.NA2023
Preconditioned Algorithm for Difference of Convex Functions with applications to Graph Ginzburg-Landau Model
Xinhua Shen, Hongpeng Sun, Xuecheng Tai
In this work, we propose and study a preconditioned framework with a graphic Ginzburg-Landau functional for image segmentation and data clustering by parallel computing. Solving no…