3 papers
math.OC2025
A Two-step Krasnosel'skii-Mann Algorithm with Adaptive Momentum and Its Applications to Image Denoising and Matrix Completion
Yongxin He, Jingyuan Li, Yizun Lin +1
In this paper, we propose a Two-step Krasnosel'skii-Mann (KM) Algorithm (TKMA) with adaptive momentum for solving convex optimization problems arising in image processing. Such opt…
math.OC2024
An accelerated preconditioned proximal gradient algorithm with a generalized Nesterov momentum for PET image reconstruction
Yizun Lin, Yongxin He, C. Ross Schmidtlein +1
This paper presents an Accelerated Preconditioned Proximal Gradient Algorithm (APPGA) for effectively solving a class of Positron Emission Tomography (PET) image reconstruction mod…
q-fin.PM2024
A Krasnoselskii-Mann Proximity Algorithm for Markowitz Portfolios with Adaptive Expected Return Level
Yizun Lin, Yongxin He, Zhao-Rong Lai
Markowitz's criterion aims to balance expected return and risk when optimizing the portfolio. The expected return level is usually fixed according to the risk appetite of an invest…