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PROXIMAL ADMM APPROACH FOR IMAGE RESTORATION WITH MIXED POISSON-GAUSSIAN NOISE
《Journal of Computational Mathematics》2025年第3期540-568,共29页Miao Chen Yuchao Tang Jie Zhang Tieyong Zeng 
supported by the National Natural Science Foundations of China(Grant Nos.12061045,12031003);by the Guangzhou Education Scientific Research Project 2024(Grant No.202315829);by the Guangzhou University Research Projects(Grant No.RC2023061);by the Jiangxi Provincial Natural Science Foundation(Grant No.20224ACB211004).
Image restoration based on total variation has been widely studied owing to its edgepreservation properties.In this study,we consider the total variation infimal convolution(TV-IC)image restoration model for eliminati...
关键词：Image restoration Mixed Poisson-Gaussian noise Alternating direction method of multipliers Total variation 
AN INEXACT PROXIMAL DC ALGORITHM FOR THE LARGE-SCALE CARDINALITY CONSTRAINED MEAN-VARIANCE MODEL IN SPARSE PORTFOLIO SELECTION
《Journal of Computational Mathematics》2024年第6期1452-1501,共50页Mingcai Ding Xiaoliang Song Bo Yu 
supported by the National Natural Science Foundation of China(Grant No.11971092);supported by the Fundamental Research Funds for the Central Universities(Grant No.DUT20RC(3)079)。
Optimization problem of cardinality constrained mean-variance(CCMV)model for sparse portfolio selection is considered.To overcome the difficulties caused by cardinality constraint,an exact penalty approach is employed...
关键词：Sparse portfolio selection Cardinality constrained mean-variance model Inexact proximal difference-of-convex-functions algorithm Sieving strategy Decomposed strategy 
AN INDEFINITE-PROXIMAL-BASED STRICTLY CONTRACTIVE PEACEMAN-RACHFORD SPLITTING METHOD被引量：1
《Journal of Computational Mathematics》2023年第6期1017-1040,共24页Yan Gu Bo Jiang Deren Han 
supported by the Natural Science Foundation of Jiangsu Province (Grant No.BK20210267);supported by the National Natural Science Foundation of China (Grant No.11971239);the Natural Science Foundation of the Higher Education Institutions of Jiangsu Province (Grant No.21KJA110002);supported by the National Natural Science Foundation of China (Grant Nos.12131004,11625105).
The Peaceman-Rachford splitting method is efficient for minimizing a convex optimization problem with a separable objective function and linear constraints.However,its convergence was not guaranteed without extra requ...
关键词：Indefinite proximal Strictly contractive Peaceman-Rachford splitting method Convex minimization Convergence rate 
PROXIMAL-PROXIMAL-GRADIENT METHOD被引量：1
《Journal of Computational Mathematics》2019年第6期778-812,共35页Ernest K.Ryu Wotao Yin 
In this paper,we present the proximal-proximal-gradient method(PPG),a novel optimization method that is simple to implement and simple to parallelize.PPG generalizes the proximal-gradient method and ADMM and is applic...
关键词：Proximal-gradient ADMM Finito MISO SAGA Operator splitting Firstorder methods Distributed OPTIMIZATION Stochastic OPTIMIZATION ALMOST sure CONVERGENCE linear CONVERGENCE 
EFFICIENT BOX-CONSTRAINED TV-TYPE-l^1 ALGORITHMS FOR RESTORING IMAGES WITH IMPULSE NOISE被引量：6
《Journal of Computational Mathematics》2013年第3期249-270,共22页Liyan Ma Michael K. Ng Jian Yu Tieyong Zeng 
In this paper, we study the restoration of images simultaneously corrupted by blur and impulse noise via variational approach with a box constraint on the pixel values of an image. In the literature, the TV-l^1 variat...
关键词：Image restoration Impulse noise Total variation Nonlocal total variation Proximal Operators. 
ON THE CONVERGENCE OF AN APPROXIMATE PROXIMAL METHOD FOR DC FUNCTIONS
《Journal of Computational Mathematics》2006年第4期475-480,共6页A. Moudafi P-E. Maingé 
In this paper we prove the convergence of the approximate proximal method for DC functions proposed by Sun et al [6]. Our analysis also permits to treat the exact method. We then propose an interesting result in the c...
关键词：DC minimization Critical points SUBDIFFERENTIALS Proximal mappings. 
A LQP BASED INTERIOR PREDICTION-CORRECTION METHOD FOR NONLINEAR COMPLEMENTARITY PROBLEMS被引量：5
《Journal of Computational Mathematics》2006年第1期33-44,共12页Bing-sheng He Li-zhi Liao Xiao-ming Yuan 
To solve nonlinear complementarity problems （NCP）, at each iteration, the classical proximal point algorithm solves a well-conditioned sub-NCP while the Logarithmic-Quadratic Proximal （LQP） method solves a system ...
关键词：Logarithmic-Quadratic proximal method Nonlinear complementarity problems Prediction-correction Inexact criterion 
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