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$S_{0.5}$ Regularization Methods and Fixed Point Algorithms for Affine Rank Minimization Problems

Peng Dingtao (dingtaopeng***at***126.com)
Xiu Naihua (nhxiu***at***bjtu.edu.cn)
Yu Jian (sci.jyu***at***gzu.edu.cn)

Abstract: The affine rank minimization problem is to minimize the rank of a matrix under linear constraints. It has many applications in various areas such as statistics, control, system identification and machine learning. Unlike the literatures which use the nuclear norm or the general Schatten $q~(0

Keywords: affine rank minimization problem; matrix completion problem; $S_{1/2}$ regularization problem; fixed point algorithm; singular value half thresholding operator

Category 1: Convex and Nonsmooth Optimization (Nonsmooth Optimization )

Category 2: Linear, Cone and Semidefinite Programming (Other )

Citation: 1/2013

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Entry Submitted: 01/10/2013
Entry Accepted: 01/10/2013
Entry Last Modified: 05/01/2017

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