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Relations among Some Low Rank Subspace Recovery Models
Hongyang Zhang, Zhouchen Lin, Chao Zhang +1
Recovering intrinsic low dimensional subspaces from data distributed on them is a key preprocessing step to many applications. In recent years, there has been a lot of work that mo…
Generalized Singular Value Thresholding
Canyi Lu, Changbo Zhu, Chunyan Xu +2
This work studies the Generalized Singular Value Thresholding (GSVT) operator , \begin{equation*} {\text{Prox}}_{g}^{σ}(B)=\arg\min\limits_{X}\sum_{i=…
Constructing a Non-Negative Low Rank and Sparse Graph with Data-Adaptive Features
Liansheng Zhuang, Shenghua Gao, Jinhui Tang +3
This paper aims at constructing a good graph for discovering intrinsic data structures in a semi-supervised learning setting. Firstly, we propose to build a non-negative low-rank a…
Robust Estimation of 3D Human Poses from a Single Image
Chunyu Wang, Yizhou Wang, Zhouchen Lin +2
Human pose estimation is a key step to action recognition. We propose a method of estimating 3D human poses from a single image, which works in conjunction with an existing 2D pose…
Generalized Nonconvex Nonsmooth Low-Rank Minimization
Canyi Lu, Jinhui Tang, Shuicheng Yan +1
As surrogate functions of -norm, many nonconvex penalty functions have been proposed to enhance the sparse vector recovery. It is easy to extend these nonconvex penalty functi…
Proximal Iteratively Reweighted Algorithm with Multiple Splitting for Nonconvex Sparsity Optimization
Canyi Lu, Yunchao Wei, Zhouchen Lin +1
This paper proposes the Proximal Iteratively REweighted (PIRE) algorithm for solving a general problem, which involves a large body of nonconvex sparse and structured sparse relate…