Please enter verification code
Matrix Decomposition for Recommendation System
American Journal of Software Engineering and Applications
Volume 4, Issue 4, August 2015, Pages: 65-70
Received: Jun. 11, 2015; Accepted: Jun. 24, 2015; Published: Jul. 4, 2015
Views 5182      Downloads 197
Jie Zhu, School of Information, Beijing Wuzi University, Beijing, China
Yiming Wei, School of Information, Beijing Wuzi University, Beijing, China
Binbin Fu, School of Information, Beijing Wuzi University, Beijing, China
Article Tools
Follow on us
Matrix decomposition, when the rating matrix has missing values, is recognized as an outstanding technique for recommendation system. In order to approximate user-item rating matrix, we construct loss function and append regularization constraint to prevent overfitting. Thus, the solution of matrix decomposition becomes an optimization problem. Alternating least squares (ALS) and stochastic gradient descent (SGD) are two popular approaches to solve optimize problems. Alternating least squares with weighted regularization (ALS-WR) is a good parallel algorithm, which can perform independently on user-factor matrix or item-factor matrix. Based on the idea of ALS-WR algorithm, we propose a modified SGD algorithm. With experiments on testing dataset, our algorithm outperforms ALS-WR. In addition, matrix decompositions based on our optimization method have lower RMSE values than some classic collaborate filtering algorithms.
Matrix Decomposition, Regularization, Collaborative Filtering, Optimization
To cite this article
Jie Zhu, Yiming Wei, Binbin Fu, Matrix Decomposition for Recommendation System, American Journal of Software Engineering and Applications. Vol. 4, No. 4, 2015, pp. 65-70. doi: 10.11648/j.ajsea.20150404.11
LINDEN G, SMITH B, YORK J. recommendations: Item-to-item collaborative filtering [J]. IEEE Internet Computing, 2003, 7(1): 76-80.
KOREN Y. Factorization meets the neighborhood: a multifaceted collaborative filtering model[C]//Proceedings of the 14th ACM SIGK-DD International Conference on Knowledge Discovery and Data Mining.New York: ACM, 2008: 426-434.
ALI K, WIJNAND V S. TiVo: Making show recommendations using a distributed collaborative filtering architecture[C]//KDD'04: Proceedings of the 10th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining. New York: ACM, 2004:394- 401.
GOLDBERG K Y,ROEDER T,GUPTA D,et al. Eigentaste: A constant time collaborative filtering algorithm [J]. Information Retrieval, 2001, 4( 2): 133-151.
SALAKHUTDINOV R,MNIH A,HINTON G.Restricted Boltzmann machines for collaborative filtering[C]//Proceedings of the 24th International Conference on Machine Learning.New York: ACM, 2007:791-798.
HOFMANN T. Latent semantic models for collaborative filtering [J]. ACM Transactions on Information Systems,2004, 22(1) : 89-115.
BLEI D,NG A,JORDAN M.Latent Dirichlet allocation [J]. Journal of Machine Learning Research, 2003, 3: 993-1022.
DaWei C, Zhao Y, HaoYan L. The overfitting phenomenon of SVD series algorithms in rating matrix [J]. Journal of Shandong university (engineering science), 2014,44(3): 15-21
XiaoFeng H, Xin L, Qingsheng Z. A parallel improvements based on regularized matrix factorization of collaborative filtering model [J]. Journal of electronics and information, 2013,35(6):1507-1511.
Zhou Y, Wilkinson D, Schreiber R, et al. Large-scale parallel collaborative filtering for the Netflix prize [M]//Algorithmic Aspects in Information and Management. Springer Berlin Heidelberg, 2008: 337-348.
I.Pil´aszy,D. Zibriczky, and D.Tikk. Fast ALS-based matrix factorization for explicit and implicit feedback datasets. In Proceedings of the Fourth ACM Conference on Recommender Systems, pages71–78, 2010.
Science Publishing Group
1 Rockefeller Plaza,
10th and 11th Floors,
New York, NY 10020
Tel: (001)347-983-5186