Robust Tensor Analysis With L1-Norm

被引：163

作者：

Pang, Yanwei ^{[1
]}

Li, Xuelong ^{[2
]}

Yuan, Yuan ^{[3
]}

机构：

[1] Tianjin Univ, Sch Elect Informat Engn, Tianjin 300072, Peoples R China

[2] Chinese Acad Sci, State Key Lab Transient Opt & Photon, Xian Inst Opt & Precis Mech, Xian 710119, Peoples R China

[3] Aston Univ, Sch Engn & Appl Sci, Birmingham B4 7ET, W Midlands, England

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS FOR VIDEO TECHNOLOGY | 2010年 / 20卷 / 02期

基金：

中国国家自然科学基金;

关键词：

L1-norm; outlier; tensor analysis; APPEARANCE;

D O I：

10.1109/TCSVT.2009.2020337

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Tensor analysis plays an important role in modern image and vision computing problems. Most of the existing tensor analysis approaches are based on the Frobenius norm, which makes them sensitive to outliers. In this paper, we propose L1-norm-based tensor analysis (TPCA-L1), which is robust to outliers. Experimental results upon face and other datasets demonstrate the advantages of the proposed approach.

引用

页码：172 / 178

页数：7

共 50 条

[31] Image Set Representation with L1-Norm Optimal Mean Robust Principal Component Analysis
Cao, Youxia
Jiang, Bo
Tang, Jin
Luo, Bin
IMAGE AND GRAPHICS (ICIG 2017), PT II, 2017, 10667 : 119 - 128
[32] Linearized alternating directions method for l1-norm inequality constrained l1-norm minimization
Cao, Shuhan
Xiao, Yunhai
Zhu, Hong
APPLIED NUMERICAL MATHEMATICS, 2014, 85 : 142 - 153
[33] MRPP TESTS IN L1-NORM
TRACY, DS
KHAN, KA
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 1987, 5 (04) : 373 - 380
[34] L1-norm quantile regression
Li, Youjuan
Zhu, Ji
JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS, 2008, 17 (01) : 163 - 185
[35] ROBUST CAPPED L1-NORM PROJECTION TWIN SUPPORT VECTOR MACHINE
Yang, Linxi
Wang, Yan
LI, Guoquan
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2023, 19 (08) : 5797 - 5815
[36] l1-norm coherence of assistance
Zhao, Ming-Jing
Ma, Teng
Quan, Quan
Fan, Heng
Pereira, Rajesh
PHYSICAL REVIEW A, 2019, 100 (01)
[37] Background Subtraction via Exact Solution of Bayesian L1-norm Tensor Decomposition
Kim, Taehyeon
Choe, Yoonsik
INTERNATIONAL WORKSHOP ON ADVANCED IMAGING TECHNOLOGY (IWAIT) 2020, 2020, 11515
[38] L1-Norm RESCAL Decomposition
Tsitsikas, Yorgos
Chachlakis, Dimitris G.
Papalexakis, Evangelos E.
Markopoulos, Panos P.
2020 54TH ASILOMAR CONFERENCE ON SIGNALS, SYSTEMS, AND COMPUTERS, 2020, : 940 - 944
[39] The L1-norm of a trigonometric sum
Éminyan, KM
MATHEMATICAL NOTES, 2004, 76 (1-2) : 124 - 132
[40] Avoiding Optimal Mean Robust and Sparse BPCA with L1-norm Maximization
Tang, Ganyi
Fan, Lili
Shi, Jianguo
Tan, Jingjing
Lu, Guifu
JOURNAL OF INTERNET TECHNOLOGY, 2023, 24 (04): : 989 - 1000

← 1 2 3 4 5 →