CSpace  > 计算数学与科学工程计算研究所
snigpropertyofmatrixlowrankfactorizationmodel
Wang Hong1; Liu Xin2; Chen Xiaojun1; Yuan Yaxiang2
2018-01-01
Source Publicationjournalofcomputationalmathematics
ISSN0254-9409
Volume36Issue:3Pages:374
AbstractRecently, the matrix factorization model attracts increasing attentions in handling large-scale rank minimization problems, which is essentially a nonconvex minimization problem. Specifically, it is a quadratic least squares problem and consequently a quartic polynomial optimization problem. In this paper, we introduce a concept of the SNIG ("Second-order Necessary optimality Implies Global optimality") condition which stands for the property that any second-order stationary point of the matrix factorization model must be a global minimizer. Some scenarios under which the SNIG condition holds are presented. Furthermore, we illustrate by an example when the SNIG condition may fail.
Language英语
Funding Project[NSFC] ; [China 863 Program] ; [National Center for Mathematics and Interdisciplinary Sciences, CAS] ; [NSFC/Hong Kong Research Grant Council]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/46795
Collection计算数学与科学工程计算研究所
Affiliation1.香港理工大学
2.中国科学院数学与系统科学研究院
Recommended Citation
GB/T 7714
Wang Hong,Liu Xin,Chen Xiaojun,et al. snigpropertyofmatrixlowrankfactorizationmodel[J]. journalofcomputationalmathematics,2018,36(3):374.
APA Wang Hong,Liu Xin,Chen Xiaojun,&Yuan Yaxiang.(2018).snigpropertyofmatrixlowrankfactorizationmodel.journalofcomputationalmathematics,36(3),374.
MLA Wang Hong,et al."snigpropertyofmatrixlowrankfactorizationmodel".journalofcomputationalmathematics 36.3(2018):374.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Wang Hong]'s Articles
[Liu Xin]'s Articles
[Chen Xiaojun]'s Articles
Baidu academic
Similar articles in Baidu academic
[Wang Hong]'s Articles
[Liu Xin]'s Articles
[Chen Xiaojun]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Wang Hong]'s Articles
[Liu Xin]'s Articles
[Chen Xiaojun]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.