4 papers · 1 filter
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…
An Augmented Lagrangian Method-Based Framework in the Adjoint Space for Sparse Reconstruction of Acoustic Sources
Nirui Tan, Hongpeng Sun
We propose a semismooth Newton-based augmented Lagrangian framework for reconstructing sparse sources in inverse acoustic scattering problems. Rather than working in the unknown so…
A preconditioned third-order implicit-explicit algorithm with a difference of varying convex functions and extrapolation
Kelin Wu, Hongpeng Sun
This paper proposes a novel preconditioned implicit-explicit algorithm enhanced with the extrapolation technique for non-convex optimization problems. The algorithm employs a third…
A preconditioned difference of convex functions algorithm with extrapolation and line search
Ran Zhang, Hongpeng Sun
This paper proposes a novel proximal difference-of-convex (DC) algorithm enhanced with extrapolation and aggressive non-monotone line search for solving non-convex optimization pro…