Matrix Factorization for Evolution Data
Joint Authors
Huang, Xiao-Yu
Xiang, Xian-Hong
Cai, Wen-Xue
Li, Lei
Li, Wubin
Chen, Kang
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-25
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We study a matrix factorization problem, that is, to find two factor matrices U and V such that R≈UT×V, where R is a matrix composed of the values of the objects O1,O2,…,On at consecutive time points T1,T2,…,Tt.
We first present MAFED, a constrained optimization model for this problem, which straightforwardly performs factorization on R.
Then based on the interplay of the data in U, V, and R, a probabilistic graphical model using the same optimization objects is constructed, in which structural dependencies of the data in these matrices are revealed.
Finally, we present a fitting algorithm to solve the proposed MAFED model, which produces the desired factorization.
Empirical studies on real-world datasets demonstrate that our approach outperforms the state-of-the-art comparison algorithms.
American Psychological Association (APA)
Huang, Xiao-Yu& Xiang, Xian-Hong& Li, Wubin& Chen, Kang& Cai, Wen-Xue& Li, Lei. 2014. Matrix Factorization for Evolution Data. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-478629
Modern Language Association (MLA)
Huang, Xiao-Yu…[et al.]. Matrix Factorization for Evolution Data. Mathematical Problems in Engineering No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-478629
American Medical Association (AMA)
Huang, Xiao-Yu& Xiang, Xian-Hong& Li, Wubin& Chen, Kang& Cai, Wen-Xue& Li, Lei. Matrix Factorization for Evolution Data. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-478629
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-478629