Multiplicative update for projective nonnegative matrix factorization with Bregman divergence

Proceedings - 3rd International Symposium on Information Processing, ISIP 2010

Volumn , Issue , 2010, Pages 233-237

  Jiang, Jiaojiao ^a   Zhang, Haibin ^a  

^a BEIJING UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Bregman divergence; Multiplicative update; Projective nonnegative matrix factorization

Indexed keywords

BASE MATRIX; BREGMAN DIVERGENCES; DATA MATRICES; DIMENSIONALITY REDUCTION; EUCLIDEAN DISTANCE; KULLBACK-LEIBLER DIVERGENCE; MACHINE-LEARNING; MULTIPLICATIVE UPDATES; NON-NEGATIVE MATRIX; NONNEGATIVE MATRIX FACTORIZATION; PROJECTIVE NONNEGATIVE MATRIX FACTORIZATION; SPARSE REPRESENTATION;

DATA PROCESSING; FACTORIZATION;

MATRIX ALGEBRA;

EID: 78751534759     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISIP.2010.73     Document Type: Conference Paper

References (11)

1. A.Cichocki, R.Zdunek and S.Amari. Csiszár's Divergences of Non-Negative Matrix Factorization: Family of New Algorithms. In 6th International Conference on Independent Component Analysis and Blind Signal Separation (ICA06), pp. 32-39, 2006.
2. A.Cichocki, R.dunek, S.Choi, R.Plemmons and S.Amari. Non-negative tensor factorization using alpha and beta divergences. IEEE International Conference, 2007.
3. C.Févotte, N.Bertin, and J.L.Durrieu. Nonnegative matrix factorization with the itakura-saito divergence: With application to music analysis. Neural Computation,21(3): pp. 793-830, 2009.
4. D.D.Lee and H.S.Seung. Algorithms for nonnegative matrix factorization. In Proc. Advances in Neural Information Processing Systems (NIPS), pp. 556-562, 2000.
5. I.S.Dhillon and S.Sra. Generalized Nonnegative Matrix Approximations with Bregman Divergence. In Proc. Advances in Neural Information Processing Systems (NIPS), Vancouver, Canada, pp. 283-290, 2005.
6. P.O.Hoyer. Non-negative matrix factorization with sparseness constraints. Journal of Machine Learning Research (JMLR), 5, pp. 1457-1469, 2004.
7. Q.Gu and J.Zhou. Local learning regualrized nonnegative matrix factorization. International Joint Conferences on Artificial Intelligence (IJCAL), pp. 1046-1051, 2009.
8. Z.Yang and E.Oja. Projective nonnegative matrix factorization for image compression and feature extraction. In Proc. of 14th Scandinavian Conference on Image Analysis (SCIA 2005), Joensuu, Finland, June pp. 333-342, 2005.
9. Z.Yang and E.Oja. Linear and nonlinear projective nonnegative matrix factorization. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2010, in submission.
10. Z.Yuan Z.Yang and E.Oja. Projective nonnegative matrix factorization: Sparseness, orthogonality, and clustering. 2009, in submission.
11. Z.Yuan Z.Yuan and J.Laaksonen. Projective nonnegative matrix factorization with application to facial image procession. Intermational Journal of Pattern Recognition and Artificial Intelligence, 21(8), pp. 1353-1362, 2007.