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An Augmented Lagrangian Approach for Sparse Principal Component Analysis

An Augmented Lagrangian Approach for Sparse Principal Component Analysis

13 July 2009
Zhaosong Lu
Yong Zhang
ArXiv (abs)PDFHTML

Papers citing "An Augmented Lagrangian Approach for Sparse Principal Component Analysis"

26 / 26 papers shown
Title
The Distributionally Robust Optimization Model of Sparse Principal Component Analysis
Lei Wang
Xin Liu
Xiaojun Chen
81
0
0
04 Mar 2025
A re-examination to the SCoTLASS problems for SPCA and two
  projection-based methods for them
A re-examination to the SCoTLASS problems for SPCA and two projection-based methods for them
Qiye Zhang
Kuo-Hao Li
31
0
0
02 Jul 2023
A Block Coordinate Descent Method for Nonsmooth Composite Optimization
  under Orthogonality Constraints
A Block Coordinate Descent Method for Nonsmooth Composite Optimization under Orthogonality Constraints
Ganzhao Yuan
75
4
0
07 Apr 2023
A Newton-CG based barrier-augmented Lagrangian method for general
  nonconvex conic optimization
A Newton-CG based barrier-augmented Lagrangian method for general nonconvex conic optimization
Chuan He
Heng Huang
Zhaosong Lu
36
2
0
10 Jan 2023
A Newton-CG based augmented Lagrangian method for finding a second-order
  stationary point of nonconvex equality constrained optimization with
  complexity guarantees
A Newton-CG based augmented Lagrangian method for finding a second-order stationary point of nonconvex equality constrained optimization with complexity guarantees
Chuan He
Zhaosong Lu
Ting Kei Pong
35
7
0
09 Jan 2023
A first-order augmented Lagrangian method for constrained minimax
  optimization
A first-order augmented Lagrangian method for constrained minimax optimization
Zhaosong Lu
Sanyou Mei
117
6
0
05 Jan 2023
Sparse PCA With Multiple Components
Sparse PCA With Multiple Components
Ryan Cory-Wright
J. Pauphilet
225
2
0
29 Sep 2022
An Inexact Augmented Lagrangian Algorithm for Training Leaky ReLU Neural
  Network with Group Sparsity
An Inexact Augmented Lagrangian Algorithm for Training Leaky ReLU Neural Network with Group Sparsity
Wei Liu
Xin Liu
Xiaojun Chen
69
10
0
11 May 2022
A Group Norm Regularized Factorization Model for Subspace Segmentation
A Group Norm Regularized Factorization Model for Subspace Segmentation
Xishun Wang
Zhouwang Yang
Xingye Yue
Hui Wang
17
0
0
08 Jan 2020
Supervised Discriminative Sparse PCA for Com-Characteristic Gene
  Selection and Tumor Classification on Multiview Biological Data
Supervised Discriminative Sparse PCA for Com-Characteristic Gene Selection and Tumor Classification on Multiview Biological Data
Chun-Mei Feng
Yong-mei Xu
Jin-Xing Liu
Ying-Lian Gao
C. Zheng
49
49
0
28 May 2019
An Alternating Manifold Proximal Gradient Method for Sparse PCA and
  Sparse CCA
An Alternating Manifold Proximal Gradient Method for Sparse PCA and Sparse CCA
Shixiang Chen
Shiqian Ma
Lingzhou Xue
H. Zou
64
13
0
27 Mar 2019
Robust Sparse Estimation Tasks in High Dimensions
Robust Sparse Estimation Tasks in High Dimensions
Jerry Li
130
27
0
20 Feb 2017
Sparse Recovery via Partial Regularization: Models, Theory and
  Algorithms
Sparse Recovery via Partial Regularization: Models, Theory and Algorithms
Zhaosong Lu
Xiaorui Li
42
38
0
23 Nov 2015
Finding Dantzig selectors with a proximity operator based fixed-point
  algorithm
Finding Dantzig selectors with a proximity operator based fixed-point algorithm
Ashley Prater
Lixin Shen
B. Suter
53
10
0
19 Feb 2015
Separation of undersampled composite signals using the Dantzig selector
  with overcomplete dictionaries
Separation of undersampled composite signals using the Dantzig selector with overcomplete dictionaries
Ashley Prater
Lixin Shen
44
6
0
20 Jan 2015
Sparse Principal Component Analysis via Rotation and Truncation
Sparse Principal Component Analysis via Rotation and Truncation
Zhenfang Hu
Gang Pan
Yueming Wang
Zhaohui Wu
107
45
0
06 Mar 2014
A Randomized Nonmonotone Block Proximal Gradient Method for a Class of
  Structured Nonlinear Programming
A Randomized Nonmonotone Block Proximal Gradient Method for a Class of Structured Nonlinear Programming
Zhaosong Lu
Lin Xiao
127
32
0
25 Jun 2013
Do semidefinite relaxations solve sparse PCA up to the information
  limit?
Do semidefinite relaxations solve sparse PCA up to the information limit?
Robert Krauthgamer
B. Nadler
Dan Vilenchik
125
89
0
16 Jun 2013
Alternating Maximization: Unifying Framework for 8 Sparse PCA
  Formulations and Efficient Parallel Codes
Alternating Maximization: Unifying Framework for 8 Sparse PCA Formulations and Efficient Parallel Codes
Peter Richtárik
Majid Jahani
S. Ahipaşaoğlu
Martin Takáč
77
29
0
17 Dec 2012
A recursive divide-and-conquer approach for sparse principal component
  analysis
A recursive divide-and-conquer approach for sparse principal component analysis
Qian Zhao
Deyu Meng
Zongben Xu
61
4
0
30 Nov 2012
Sequential Convex Programming Methods for A Class of Structured
  Nonlinear Programming
Sequential Convex Programming Methods for A Class of Structured Nonlinear Programming
Zhaosong Lu
114
28
0
10 Oct 2012
Fused Multiple Graphical Lasso
Fused Multiple Graphical Lasso
Sen Yang
Zhaosong Lu
Xiaotong Shen
Peter Wonka
Jieping Ye
133
108
0
10 Sep 2012
Proximal Newton-type methods for minimizing composite functions
Proximal Newton-type methods for minimizing composite functions
Jason D. Lee
Yuekai Sun
M. Saunders
372
306
0
07 Jun 2012
Optimal detection of sparse principal components in high dimension
Optimal detection of sparse principal components in high dimension
Quentin Berthet
Philippe Rigollet
171
284
0
23 Feb 2012
An Alternating Direction Method for Finding Dantzig Selectors
An Alternating Direction Method for Finding Dantzig Selectors
Zhaosong Lu
Ting Kei Pong
Yong Zhang
145
36
0
20 Nov 2010
Computing Optimal Experimental Designs via Interior Point Method
Computing Optimal Experimental Designs via Interior Point Method
Zhaosong Lu
Ting Kei Pong
90
1
0
09 Sep 2010
1