1 综述
(18 articles)
(1), D. D. Lee, H.S.Seung. Learning the parts of objects by non-negative matrix factorization, Nature, 1999
(2), 刘维湘等, 非负矩阵分解及其在模式识别中的应用. 科学通报, 51(3), 2006
(3), Hopke P K. A guide to positive matrix factorization[C]//Workshop on UNMIX and PMF as Applied to PM2. 2000, 5: 600.
(4), Tropp J A. Literature survey: Nonnegative matrix factorization[J]. University of Texas at Asutin, preprint, 2003.
(5), 汪鹏. 非负矩阵分解: 数学的奇妙力量[J]. 计算机教育, 2004 (10): 38-40.
(6),Chu M, Plemmons R J. Nonnegative matrix factorization and applications[J]. Image, 2005, 34: 1-5.
(7),Sra S, Dhillon I S. Nonnegative matrix approximation: Algorithms and applications[M]. Computer Science Department, University of Texas at Austin, 2006.
(8),Zadeh L A, Tufis D, Filip F G, et al. Non-negative Matrix Factorization Methods and their Applications[J]. From Natural Language to Soft Computing: New Paradigms in Artificial Intelligence, 2008: 32.
(9),Buciu I. Non-negative matrix factorization, a new tool for feature extraction: Theory and applications[J]. International Journal of Computers, Communications and Control, 2008, 3: 67-74.
(10),Laurberg H. Non-negative Matrix Factorization: Theory and Methods[D]. Videnbasen for Aalborg UniversitetVBN, Aalborg UniversitetAalborg University, De Ingenir-, Natur-og Sundhedsvidenskabelige FakulteterFaculties of Engineering, Science and Medicine, Multimedia Information and Signal ProcessingMultimedia Information and Signal Processing, 2008.
(11),李乐, 章毓晋. 非负矩阵分解算法综述[J]. 电子学报, 2008, 36(4).
(12),Yuan Z. Advances in independent component analysis and nonnegative matrix factorization[J]. 2009.
(13),Sara Comero et al. Positive Matrix Factorisation, JRC Scientific and Technical Reports
(14),Kim J. Nonnegative matrix and tensor factorizations, least squares problems, and applications[J]. 2011.
(15),Wang Y, Zhang Y. Non-negative matrix factorization: a comprehensive review[J]. 2011.
(16),Zafeiriou S, Petrou M. Nonnegative tensor factorization as an alternative Csiszar–Tusnady procedure: algorithms, convergence, probabilistic interpretations and novel probabilistic tensor latent variable analysis algorithms[J]. Data Mining and Knowledge Discovery, 2011, 22(3): 419-466.
(17),Huang Z, Zhou A, Zhang G. Non-negative Matrix Factorization: A Short Survey on Methods and Applications[M]//Computational Intelligence and Intelligent Systems. Springer Berlin Heidelberg, 2012: 331-340.
(18),Zhang Z Y. Nonnegative Matrix Factorization: Models, Algorithms and Applications[M]//Data Mining: Foundations and Intelligent Paradigms. Springer Berlin Heidelberg, 2012: 99-134.
2 理论与算法
2.1 一些理论文献
(55 articles)
(1), Szatmáry B, Póczos B, Eggert J, et al. Non-Negative Matrix Factorization Extended by Sparse Code Shrinkage and Weight Sparsification[C]//ECAI. 2002: 503-507.
(2), Seung D, Lee L. Algorithms for non-negative matrix factorization[J]. Advances in neural information processing systems, 2001, 13: 556-562.
(3), Donoho D, Stodden V. When does non-negative matrix factorization give a correct decomposition into parts?[C]//Advances in neural information processing systems. 2003: None.
(4), Guillamet D, Vitrià J. Evaluation of distance metrics for recognition based on non-negative matrix factorization[J]. Pattern Recognition Letters, 2003, 24(9): 1599-1605.
(5), Hoyer P O. Modeling receptive fields with non-negative sparse coding[J]. Neurocomputing, 2003, 52: 547-552.
(6), Liu W, Zheng N, Lu X. Non-negative matrix factorization for visual coding[C]//Acoustics, Speech, and Signal Processing, 2003. Proceedings.(ICASSP'03). 2003 IEEE International Conference on. IEEE, 2003, 3: III-293-6 vol. 3.
(7),Chu M, Diele F, Plemmons R, et al. Optimality, computation, and interpretation of nonnegative matrix factorizations[C]//SIAM Journal on Matrix Analysis. 2004.
(8),Theis F J, Stadlthanner K, Tanaka T. First results on uniqueness of sparse non-negative matrix factorization[C]//Proceedings of the 13th European Signal Processing Conference (EUSIPCO’05). 2005.
(9),Chu M, Diele F, Plemmons R, et al. Optimality, computation, and interpretation of nonnegative matrix factorizations[C]//SIAM Journal on Matrix Analysis. 2004.
(10),Gaussier E, Goutte C. Relation between PLSA and NMF and implications[C]//Proceedings of the 28th annual international ACM SIGIR conference on Research and development in information retrieval. ACM, 2005: 601-602.
(11),Albright R, Cox J, Duling D, et al. Algorithms, initializations, and convergence for the nonnegative matrix factorization[R]. NCSU Technical Report Math 81706. http://meyer. math. ncsu. edu/Meyer/Abstracts/Publications. html, 2006.
(12),Friedlander M P, Hatz K. Computing non-negative tensor factorizations[J]. Optimisation Methods and Software, 2008, 23(4): 631-647.
(13),Heiler M, Schnrr C. Learning sparse representations by non-negative matrix factorization and sequential cone programming[J]. The Journal of Machine Learning Research, 2006, 7: 1385-1407.
(14),FitzGerald D, Cranitch M, Coyle E. Shifted 2D non-negative tensor factorisation[C]//Irish Signals and Systems Conference, 2006. IET. IET, 2006: 509-513.
(15),Berry M W, Browne M, Langville A N, et al. Algorithms and applications for approximate nonnegative matrix factorization[J]. Computational Statistics & Data Analysis, 2007, 52(1): 155-173.
(16),Yang Z, Laaksonen J. Multiplicative updates for non-negative projections[J]. Neurocomputing, 2007, 71(1): 363-373.
(17),Lin C J. On the convergence of multiplicative update algorithms for nonnegative matrix factorization[J]. Neural Networks, IEEE Transactions on, 2007, 18(6): 1589-1596.
(18),Laurberg H. Uniqueness of non-negative matrix factorization[C]//Statistical Signal Processing, 2007. SSP'07. IEEE/SP 14th Workshop on. IEEE, 2007: 44-48.
(19),Yang J, Yang S, Fu Y, et al. Non-negative graph embedding[C]//Computer Vision and Pattern Recognition, 2008. CVPR 2008. IEEE Conference on. IEEE, 2008: 1-8.
(20),Morup M, Madsen K H, Hansen L K. Approximate L< inf> 0 constrained non-negative matrix and tensor factorization[C]//Circuits and Systems, 2008. ISCAS 2008. IEEE International Symposium on. IEEE, 2008: 1328-1331.
(21),Laurberg H, Christensen M G, Plumbley M D, et al. Theorems on positive data: On the uniqueness of NMF[J]. Computational Intelligence and Neuroscience, 2008, 2008.
(22),方茂中. 关于矩阵填充和非负矩阵的研究[D]. 华东师范大学, 2008.
(23),张永亮. 矩阵的非负分解算法及应用[D]. 浙江大学, 2008.
(24),Sindhwani V, Bucak S S, Hu J, et al. A Family of Non-negative Matrix Factorizations for One-Class Collaborative Filtering Problems[C]//Proceedings of the ACM Recommender Systems Conference, RecSys. 2009.
(25),Zafeiriou S. Algorithms for nonnegative tensor factorization[M]//Tensors in Image Processing and Computer Vision. Springer London, 2009: 105-124.
(26),Thurau C, Kersting K, Bauckhage C. Convex non-negative matrix factorization in the wild[C]//Data Mining, 2009. ICDM'09. Ninth IEEE International Conference on. IEEE, 2009: 523-532.
(27),Bucak S S, Gunsel B. Incremental subspace learning via non-negative matrix factorization[J]. Pattern Recognition, 2009, 42(5): 788-797.
(28), O'Grady P D, Rickard S T. Compressive sampling of non-negative signals[C]//Machine Learning for Signal Processing, 2008. MLSP 2008. IEEE Workshop on. IEEE, 2008: 133-138.
(29),Lim L H, Comon P. Nonnegative approximations of nonnegative tensors[J]. Journal of Chemometrics, 2009, 23(7‐8): 432-441.
(30),Liao S, Lei Z, Li S Z. Nonnegative matrix factorization with Gibbs random field modeling[C]//Computer Vision Workshops (ICCV Workshops), 2009 IEEE 12th International Conference on. IEEE, 2009: 79-86.
(31),Klingenberg B, Curry J, Dougherty A. Non-negative matrix factorization: Ill-posedness and a geometric algorithm[J]. Pattern Recognition, 2009, 42(5): 918-928.
(32),Wang C, Yan S, Zhang L, et al. Non-negative semi-supervised learning[C]//International Conference on Artificial Intelligence and Statistics. 2009: 575-582.
(33),Yoo J, Choi S. Weighted nonnegative matrix co-tri-factorization for collaborative prediction[M]//Advances in Machine Learning. Springer Berlin Heidelberg, 2009: 396-411.
(34),李乐, 章毓晋. 非负矩阵集分解[J]. 电子与信息学报, 2009, 31(2).
(35), Yang Z, Oja E. Linear and nonlinear projective nonnegative matrix factorization[J]. Neural Networks, IEEE Transactions on, 2010, 21(5): 734-749.
(36),Zafeiriou S, Petrou M. Nonlinear non-negative component analysis algorithms[J]. Image Processing, IEEE Transactions on, 2010, 19(4): 1050-1066.
(37),Zhu Z, Guo Y F, Zhu X, et al. Normalized dimensionality reduction using nonnegative matrix factorization[J]. Neurocomputing, 2010, 73(10): 1783-1793.
(38),Mairal J, Bach F, Ponce J, et al. Online learning for matrix factorization and sparse coding[J]. The Journal of Machine Learning Research, 2010, 11: 19-60.
(39),Liu X, Yan S, Jin H. Projective nonnegative graph embedding[J]. Image Processing, IEEE Transactions on, 2010, 19(5): 1126-1137.
(40),Lee H, Yoo J, Choi S. Semi-supervised nonnegative matrix factorization[J]. Signal Processing Letters, IEEE, 2010, 17(1): 4-7.
(41),Badeau R, Bertin N, Vincent E. Stability analysis of multiplicative update algorithms and application to nonnegative matrix factorization[J]. Neural Networks, IEEE Transactions on, 2010, 21(12): 1869-1881.
(42),Thurau C, Kersting K, Wahabzada M, et al. Convex non-negative matrix factorization for massive datasets[J]. Knowledge and information systems, 2011, 29(2): 457-478.
(43),Cai D, He X, Han J, et al. Graph regularized nonnegative matrix factorization for data representation[J]. Pattern Analysis and Machine Intelligence, IEEE Transactions on, 2011, 33(8): 1548-1560.
(44), Kumar B G, Kotsia I, Patras I. Max-margin semi-NMF[J]. 2011.
(45),Pan B, Lai J, Chen W S. Nonlinear nonnegative matrix factorization based on Mercer kernel construction[J]. Pattern Recognition, 2011, 44(10): 2800-2810.
(46), Balan A K, Boyles L, Welling M, et al. Statistical optimization of non-negative matrix factorization[C]//International Conference on Artificial Intelligence and Statistics. 2011: 128-136.
(47),Schachtner R, Pppel G, Lang E W. Towards unique solutions of non-negative matrix factorization problems by a determinant criterion[J]. Digital Signal Processing, 2011, 21(4): 528-534.
(48),杨洪礼. 非负矩阵与张量分解及其应用[D]. 山东科技大学, 2011.
(49),Arora S, Ge R, Kannan R, et al. Computing a nonnegative matrix factorization--provably[C]//Proceedings of the 44th symposium on Theory of Computing. ACM, 2012: 145-162.
(50),Krishnamurthy V, d'Aspremont A. Convex Algorithms for Nonnegative Matrix Factorization[J]. arXiv preprint arXiv:1207.0318, 2012.
(51),Kim J, Monteiro R, Park H. Group Sparsity in Nonnegative Matrix Factorization[C]//SDM. 2012: 851-862.
(52),Chi E C, Kolda T G. On tensors, sparsity, and nonnegative factorizations[J]. SIAM Journal on Matrix Analysis and Applications, 2012, 33(4): 1272-1299.
(53),Bin Shen, Luo Si, Rongrong Ji, Baodi Liu. Robust Nonnegative Matrix Factorization via L1 Norm Regularization, 2012
(54),Peharz R, Pernkopf F. Sparse nonnegative matrix factorization with < sup> 0-constraints[J]. Neurocomputing, 2012, 80: 38-46.
(55),Driesen J. Supervised input space scaling for non-negative matrix factorization[J]. Signal Processing, 2012, 92(8): 1864-1874.
2.2 初始化与迭代算法
(31 articles)
(1), Wild S. Seeding non-negative matrix factorizations with the spherical k-means clustering[D]. University of Colorado, 2003.
(2), Wild S, Curry J, Dougherty A. Improving non-negative matrix factorizations through structured initialization[J]. Pattern Recognition, 2004, 37(11): 2217-2232.
(3),Gonzalez E F, Zhang Y. Accelerating the Lee-Seung algorithm for non-negative matrix factorization[J]. Dept. Comput. & Appl. Math., Rice Univ., Houston, TX, Tech. Rep. TR-05-02, 2005.
(4),Langville A N, Meyer C D, Albright R, et al. Initializations for the nonnegative matrix factorization[C]//Proceedings of the Twelfth ACM SIGKDD International Conference on Knowledge Discovery and Data Mining. 2006: 23-26.
(5),Buciu I, Nikolaidis N, Pitas I. On the initialization of the DNMF algorithm[C]//Circuits and Systems, 2006. ISCAS 2006. Proceedings. 2006 IEEE International Symposium on. IEEE, 2006: 4 pp.
(6),Kim D, Sra S, Dhillon I S. Fast Projection‐Based Methods for the Least Squares Nonnegative Matrix Approximation Problem[J]. Statistical Analysis and Data Mining, 2008, 1(1): 38-51.
(7),Zheng Z, Yang J, Zhu Y. Initialization enhancer for non-negative matrix factorization[J]. Engineering Applications of Artificial Intelligence, 2007, 20(1): 101-110.
(8),Lin C J. Projected gradient methods for nonnegative matrix factorization[J]. Neural computation, 2007, 19(10): 2756-2779.
(9),Boutsidis C, Gallopoulos E. SVD based initialization: A head start for nonnegative matrix factorization[J]. Pattern Recognition, 2008, 41(4): 1350-1362.
(10),Xue Y, Tong C S, Chen Y, et al. Clustering-based initialization for non-negative matrix factorization[J]. Applied Mathematics and Computation, 2008, 205(2): 525-536.
(11),Zdunek R, Cichocki A. Fast nonnegative matrix factorization algorithms using projected gradient approaches for large-scale problems[J]. Computational intelligence and neuroscience, 2008, 2008: 3.
(12),Kim J, Park H. Toward faster nonnegative matrix factorization: A new algorithm and comparisons[C]//Data Mining, 2008. ICDM'08. Eighth IEEE International Conference on. IEEE, 2008: 353-362.
(13),Zhang D, Liu W. An Efficient Nonnegative Matrix Factorization Approach in Flexible Kernel Space[C]//IJCAI. 2009: 1345-1350.
(14),Tan V Y F, Févotte C. Automatic relevance determination in nonnegative matrix factorization[C]//SPARS'09-Signal Processing with Adaptive Sparse Structured Representations. 2009.
(15),Vavasis S A. On the complexity of nonnegative matrix factorization[J]. SIAM Journal on Optimization, 2009, 20(3): 1364-1377.
(16),Wang F, Li P. Efficient Nonnegative Matrix Factorization with Random Projections[C]//SDM. 2010: 281-292.
(17),Dong C, Zhao H, Wang W. Parallel nonnegative matrix factorization algorithm on the distributed memory platform[J]. International Journal of Parallel Programming, 2010, 38(2): 117-137.
(18),Zhang C. A New Active Set Method For Nonnegative Matrix Factorization[C]//The 5th Sino-Japan Optimization Meeting. 2011: 47.
(19), Xu Y. Alternating proximal gradient method for nonnegative matrix factorization[J]. 2011.
(20),Rezaei M, Boostani R, Rezaei M. An efficient initialization method for nonnegative matrix factorization[J]. Journal of Applied Sciences, 2011, 11(2): 354-359.
(21),Hsieh C J, Dhillon I S. Fast coordinate descent methods with variable selection for non-negative matrix factorization[C]//Proceedings of the 17th ACM SIGKDD international conference on Knowledge discovery and data mining. ACM, 2011: 1064-1072.
(22),Kim J, Park H. Fast nonnegative matrix factorization: An active-set-like method and comparisons[J]. SIAM Journal on Scientific Computing, 2011, 33(6): 3261-3281.
(23),Bonettini S. Inexact block coordinate descent methods with application to non-negative matrix factorization[J]. IMA journal of numerical analysis, 2011, 31(4): 1431-1452.
(24),Liu H, Li X. Modified subspace Barzilai-Borwein gradient method for non-negative matrix factorization[J]. Computational Optimization and Applications, 2013: 1-24.
(25),Xu Y, Yin W, Wen Z, et al. An alternating direction algorithm for matrix completion with nonnegative factors[J]. Frontiers of Mathematics in China, 2012, 7(2): 365-384.
(26),Wang X, Xie X, Lu L. AN EFFECTIVE INITIALIZATION FOR ORTHOGONAL NONNEGATIVE MATRIX FACTORIZATION[J]. Journal of Computational Mathematics, 2012, 30(1): 34-46.
(27),Gong P, Zhang C. Efficient nonnegative matrix factorization via projected newton method[J]. Pattern Recognition, 2012, 45(9): 3557-3565.
(28),Zdunek R. Initialization of nonnegative matrix factorization with vertices of convex polytope[C]//Artificial Intelligence and Soft Computing. Springer Berlin Heidelberg, 2012: 448-455.
(29),Guan N, Tao D, Luo Z, et al. NeNMF: an optimal gradient method for nonnegative matrix factorization[J]. Signal Processing, IEEE Transactions on, 2012, 60(6): 2882-2898.
(30),Liu H, Li X, Zheng X. Solving non-negative matrix factorization by alternating least squares with a modified strategy[J]. Data Mining and Knowledge Discovery, 2013, 26(3): 435-451.
(31),Recht B, Re C, Tropp J, et al. Factoring nonnegative matrices with linear programs[C]//Advances in Neural Information Processing Systems. 2012: 1223-1231.
2.3 度量相异的算法
(10 articles)
(1), Sra S, Dhillon I S. Generalized nonnegative matrix approximations with Bregman divergences[C]//Advances in neural information processing systems. 2005: 283-290.
(2), Finesso L, Spreij P. Nonnegative matrix factorization and I-divergence alternating minimization[J]. Linear Algebra and its Applications, 2006, 416(2): 270-287.
(3),Kompass R. A generalized divergence measure for nonnegative matrix factorization[J]. Neural computation, 2007, 19(3): 780-791.
(4),Cichocki A, Lee H, Kim Y D, et al. Non-negative matrix factorization with α-divergence[J]. Pattern Recognition Letters, 2008, 29(9): 1433-1440.
(5),杨轩. 非负矩阵分解的两种算法[D]. 陕西师范大学, 2008.
(6), 孙江明. 非平滑非负矩阵分解及其应用研究[D]. 同济大学, 2008
(7),Févotte C, Idier J. Algorithms for nonnegative matrix factorization with the β-divergence[J]. Neural Computation, 2011, 23(9): 2421-2456.
(8),Seung D, Lee L. Algorithms for non-negative matrix factorization[J]. Advances in neural information processing systems, 2001, 13: 556-562.
(9),Guan N, Tao D, Luo Z, et al. MahNMF: Manhattan non-negative matrix factorization[J]. arXiv preprint arXiv:1207.3438, 2012.
(10),Yang S, Ye M. Multistability of α-divergence based NMF algorithms[J]. Computers & Mathematics with Applications, 2012, 64(2): 73-88.
2.4 针对应用的算法
(64 articles)
(1)(Local NMF), Li, Stan Z., et al. "Learning spatially localized, parts-based representation."Computer Vision and Pattern Recognition, 2001. CVPR 2001. Proceedings of the 2001 IEEE Computer Society Conference on. Vol. 1. IEEE, 2001.
(2)(Weighted NMF), Guillamet D, Bressan M, Vitria J. A weighted non-negative matrix factorization for local representations[C]//Computer Vision and Pattern Recognition, 2001. CVPR 2001. Proceedings of the 2001 IEEE Computer Society Conference on. IEEE, 2001, 1: I-942-I-947 vol. 1.
(3)(Local NMF), Li S Z, Hou X W, Zhang H J, et al. Learning spatially localized, parts-based representation[C]//Computer Vision and Pattern Recognition, 2001. CVPR 2001. Proceedings of the 2001 IEEE Computer Society Conference on. IEEE, 2001, 1: I-207-I-212 vol. 1.
(4)(Sparse NMF), Hoyer P O. Non-negative sparse coding[C]//Neural Networks for Signal Processing, 2002. Proceedings of the 2002 12th IEEE Workshop on. IEEE, 2002: 557-565.
(5) (Sparse NMF), Hoyer P O. Non-negative matrix factorization with sparseness constraints[J]. The Journal of Machine Learning Research, 2004, 5: 1457-1469.
(6) (Sparse NMF), Stadlthanner K, Theis F J, Puntonet C G, et al. Extended sparse nonnegative matrix factorization[M]//Computational Intelligence and Bioinspired Systems. Springer Berlin Heidelberg, 2005: 249-256.
(7), Welling M, Weber M. Positive tensor factorization[J]. Pattern Recognition Letters, 2001, 22(12): 1255-1261.
(8)(Fisher NMF), Wang Y, Jia Y. Fisher non-negative matrix factorization for learning local features[C]//In Proc. Asian Conf. on Comp. Vision. 2004.
(9),Aharon M, Elad M, Bruckstein A M. K-SVD and its non-negative variant for dictionary design[C]//Optics & Photonics 2005. International Society for Optics and Photonics, 2005: 591411-591411-13.
(10),Li H, Adali T, Wang W, et al. Non-negative matrix factorization with orthogonality constraints for chemical agent detection in raman spectra[C]//Machine Learning for Signal Processing, 2005 IEEE Workshop on. IEEE, 2005: 253-258.
(11),Chen Z, Cichocki A. Nonnegative matrix factorization with temporal smoothness and/or spatial decorrelation constraints[J]. Laboratory for Advanced Brain Signal Processing, RIKEN, Tech. Rep, 2005.
(12),Heiler M, Schnrr C. Controlling sparseness in non-negative tensor factorization[M]//Computer Vision–ECCV 2006. Springer Berlin Heidelberg, 2006: 56-67.
(13),Zhang D, Zhou Z H, Chen S. Non-negative matrix factorization on kernels[M]//PRICAI 2006: Trends in Artificial Intelligence. Springer Berlin Heidelberg, 2006: 404-412.
(14)(Nonsmooth NMF),Pascual-Montano A, Carazo J M, Kochi K, et al. Nonsmooth nonnegative matrix factorization (nsNMF)[J]. Pattern Analysis and Machine Intelligence, IEEE Transactions on, 2006, 28(3): 403-415.
(15),Blondel V, Ho N D, Van Dooren P. Algorithms for weighted nonnegative matrix factorizations[J]. Submitted for publication, 2007.
(16), Cao B, Shen D, Sun J T, et al. Detect and Track Latent Factors with Online Nonnegative Matrix Factorization[C]//IJCAI. 2007, 7: 2689-2694.
(17),Bucak S S, Günsel B, Gursoy O. Incremental Non-negative Matrix Factorization for Dynamic Background Modelling[C]//PRIS. 2007: 107-116.
(18),Laurberg H, Hansen L K. On affine non-negative matrix factorization[C]//Acoustics, Speech and Signal Processing, 2007. ICASSP 2007. IEEE International Conference on. IEEE, 2007, 2: II-653-II-656.
(19),Zheng W S, Li S Z, Lai J H, et al. On constrained sparse matrix factorization[C]//Computer Vision, 2007. ICCV 2007. IEEE 11th International Conference on. IEEE, 2007: 1-8.
(20)(orthogonal NMF),Choi S. Algorithms for orthogonal nonnegative matrix factorization[C]//Neural Networks, 2008. IJCNN 2008.(IEEE World Congress on Computational Intelligence). IEEE International Joint Conference on. IEEE, 2008: 1828-1832.
(21),Kim H, Park H. Nonnegative matrix factorization based on alternating nonnegativity constrained least squares and active set method[J]. SIAM Journal on Matrix Analysis and Applications, 2008, 30(2): 713-730.
(22),Buciu I, Nikolaidis N, Pitas I. Nonnegative matrix factorization in polynomial feature space[J]. Neural Networks, IEEE Transactions on, 2008, 19(6): 1090-1100.
(23),Schmidt M N, Laurberg H. Nonnegative matrix factorization with Gaussian process priors[J]. Computational intelligence and neuroscience, 2008, 2008: 3.
(24)(orthogonal NMF),Yoo J, Choi S. Orthogonal nonnegative matrix factorization: Multiplicative updates on Stiefel manifolds[M]//Intelligent Data Engineering and Automated Learning–IDEAL 2008. Springer Berlin Heidelberg, 2008: 140-147.
(25),Yuan Y, Li X, Pang Y, et al. Binary sparse nonnegative matrix factorization[J]. Circuits and Systems for Video Technology, IEEE Transactions on, 2009, 19(5): 772-777.
(26),Zafeiriou S. Discriminant nonnegative tensor factorization algorithms[J]. Neural Networks, IEEE Transactions on, 2009, 20(2): 217-235.
(27),Cai D, He X, Wang X, et al. Locality Preserving Nonnegative Matrix Factorization[C]//IJCAI. 2009, 9: 1010-1015.
(28),Gu Q, Zhou J. Neighborhood Preserving Nonnegative Matrix Factorization[C]//BMVC. 2009: 1-10.
(29),Mrup M, Hansen L K. Tuning pruning in sparse non-negative matrix factorization[C]//Proc. 17th European Signal Processing Conference (EUSIPCO’09). EURASIP, 2009.
(30),Kim Y D, Choi S. Weighted nonnegative matrix factorization[C]//Acoustics, Speech and Signal Processing, 2009. ICASSP 2009. IEEE International Conference on. IEEE, 2009: 1541-1544.
(31),郭立. 增量式非负矩阵分解方法的研究[D]. 复旦大学, 2009.
(32),Gupta M D. Additive Non-negative Matrix Factorization for Missing Data[J]. arXiv preprint arXiv:1007.0380, 2010.
(33),Wang F, Li P. Compressed nonnegative sparse coding[C]//Data Mining (ICDM), 2010 IEEE 10th International Conference on. IEEE, 2010: 1103-1108.
(34)(orthogonal NMF),Mirzal A. Converged algorithms for orthogonal nonnegative matrix factorizations[J]. arXiv preprint arXiv:1010.5290, 2010.
(35),Li Z, Wu X, Peng H. Nonnegative matrix factorization on orthogonal subspace[J]. Pattern Recognition Letters, 2010, 31(9): 905-911.
(36),Yoo J, Choi S. Nonnegative Matrix Factorization with Orthogonality Constraints[J]. JCSE, 2010, 4(2): 97-109.
(37),杨志君, 叶东毅. 动态学习的非负矩阵分解算法[J]. 智能系统学报, 2010, 5(004): 320-326.
(38),李乐, 章毓晋. 基于线性投影结构的非负矩阵分解[J]. 自动化学报, 2010, 36(1): 23-39.
(39),姜伟, 杨炳儒, 隋海峰. 局部敏感非负矩阵分解[J]. 计算机科学, 2010, 37(012): 211-214.
(40),郭立, 张守志, 汪卫, 等. 一种增量式非负矩阵分解算法[J]. Computer Engineering, 2010, 36(4).
(41),An S, Yun J M, Choi S. Multiple kernel nonnegative matrix factorization[C]//Acoustics, Speech and Signal Processing (ICASSP), 2011 IEEE International Conference on. IEEE, 2011: 1976-1979.
(42),Nikitidis S, Tefas A, Pitas I. Recent advances in discriminant non-negative Matrix Factorization[C]//Pattern Recognition (ACPR), 2011 First Asian Conference on. IEEE, 2011: 1-6.
(43),Wang F, Tong H, Lin C Y. Towards Evolutionary Nonnegative Matrix Factorization[C]//AAAI. 2011.
(44),刘昶, 周激流, 郎方年. 广义判别正交非负矩阵分解及其应用[J]. 系统工程与电子技术, 2011, 33(10): 2327-2330.
(45),蒋娇娇. 非负矩阵分解算法的改进及应用[J]. 北京: 北京工业大学, 2011.
(46),周永亮. 非负矩阵分解问题算法的研究[D]. 西安电子科技大学, 2011.
(47),Essid S. A single-class SVM based algorithm for computing an identifiable NMF[C]//Acoustics, Speech and Signal Processing (ICASSP), 2012 IEEE International Conference on. IEEE, 2012: 2053-2056.
(48),Zdunek R. Approximation of feature vectors in nonnegative matrix factorization with gaussian radial basis functions[C]//Neural Information Processing. Springer Berlin Heidelberg, 2012: 616-623.
(49),Sindhwani V, Ghoting A. Large-scale distributed non-negative sparse coding and sparse dictionary learning[C]//Proceedings of the 18th ACM SIGKDD international conference on Knowledge discovery and data mining. ACM, 2012: 489-497.
(50),Dikmen O, Févotte C. Maximum Marginal Likelihood Estimation for Nonnegative Dictionary Learning in the Gamma-Poisson Model[J]. 2012.
(51),Kumar B G, Kotsia I, Patras I. Max-margin non-negative matrix factorization[J]. Image and Vision Computing, 2012, 30(4): 279-291.
(52),Caicedo J C, BenAbdallah J, González F A, et al. Multimodal representation, indexing, automated annotation and retrieval of p_w_picpath collections via non-negative matrix factorization[J]. Neurocomputing, 2012, 76(1): 50-60.
(53), Liu J, Wang C, Gao J, et al. Multi-view clustering via joint nonnegative matrix factorization[C]//Proc. SIAM Data Mining Conf.(SDM’13). 2013.
(54),Tang Z, Ding S. Nonnegative dictionary learning by nonnegative matrix factorization with a sparsity constraint[M]//Advances in Neural Networks–ISNN 2012. Springer Berlin Heidelberg, 2012: 92-101.
(55),Ding C, Kong D. Nonnegative matrix factorization using a robust error function[C]//Acoustics, Speech and Signal Processing (ICASSP), 2012 IEEE International Conference on. IEEE, 2012: 2033-2036.
(56),Guan N, Tao D, Luo Z, et al. Online nonnegative matrix factorization with robust stochastic approximation[J]. Neural Networks and Learning Systems, IEEE Transactions on, 2012, 23(7): 1087-1099.
(57),Yang Z, Zhang H, Oja E. Online projective nonnegative matrix factorization for large datasets[C]//Neural Information Processing. Springer Berlin Heidelberg, 2012: 285-290.
(58),Hoffman M D. Poisson-uniform nonnegative matrix factorization[C]//Acoustics, Speech and Signal Processing (ICASSP), 2012 IEEE International Conference on. IEEE, 2012: 5361-5364.
(59),Shi M, Yi Q, Lv J. Symmetric Nonnegative Matrix Factorization With Beta-Divergences[J]. Signal Processing Letters, IEEE, 2012, 19(8): 539-542.
(60),Gao B, Woo W L, Dlay S S. Variational regularized 2-D nonnegative matrix factorization[J]. Neural Networks and Learning Systems, IEEE Transactions on, 2012, 23(5): 703-716.
(61),叶军, 金忠. 基于平滑 ι0 范数正交子空间非负矩阵分解[J]. 计算机应用研究, 2013, 30(3): 768-770.
(62),Esser E, Lou Y, Xin J. A Method for Finding Structured Sparse Solutions to Non-negative Least Squares Problems with Applications[J]. arXiv preprint arXiv:1301.0413, 2013.
(63),Tan V Y F, Fevotte C. Automatic Relevance Determination in Nonnegative Matrix Factorization with the {beta}-Divergence[J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2012: 1.
(64),Liu J, Wang C, Gao J, et al. Multi-view clustering via joint nonnegative matrix factorization[C]//Proc. SIAM Data Mining Conf.(SDM’13). 2013.
3 应用
3.1 文本分类/数据挖掘
(5 articles)
(1), Xu W, Liu X, Gong Y. Document clustering based on non-negative matrix factorization[C]//Proceedings of the 26th annual international ACM SIGIR conference on Research and development in informaion retrieval. ACM, 2003: 267-273.
(2), 蒋冀翔. 基于非负矩阵分解的信息获取方法研究[D]. 东南大学, 2006.
(3),Wang D, Li T, Ding C. Weighted feature subset non-negative matrix factorization and its applications to document understanding[C]//Data Mining (ICDM), 2010 IEEE 10th International Conference on. IEEE, 2010: 541-550.
(4),Li Y, Ngom A. Supervised dictionary learning via non-negative matrix factorization for classification[C]//Machine Learning and Applications (ICMLA), 2012 11th International Conference on. IEEE, 2012, 1: 439-443.
(5),Essid S, Févotte C. Smooth Nonnegative Matrix Factorization for Unsupervised Audiovisual Document Structuring[J]. IEEE TRANSACTIONS ON MULTIMEDIA, 2013, 15(2): 415.
3.2 语音相关
(15 articles)
(1), FitzGerald D, Cranitch M, Coyle E. Non-negative tensor factorisation for sound source separation[J]. 2005.
(2), Fitzgerald D, Cranitch M, Coyle E. Shifted non-negative matrix factorisation for sound source separation[C]//Statistical Signal Processing, 2005 IEEE/SP 13th Workshop on. IEEE, 2005: 1132-1137.
(3),FitzGerald D, Cranitch M, Coyle E. Sound source separation using shifted non-negative tensor factorisation[C]//Acoustics, Speech and Signal Processing, 2006. ICASSP 2006 Proceedings. 2006 IEEE International Conference on. IEEE, 2006, 5: V-V.
(4),Bertin N, Badeau R, Richard G. Blind signal decompositions for automatic transcription of polyphonic music: NMF and K-SVD on the benchmark[C]//Acoustics, Speech and Signal Processing, 2007. ICASSP 2007. IEEE International Conference on. IEEE, 2007, 1: I-65-I-68.
(5),Rennie S J, Hershey J R, Olsen P A. Efficient model-based speech separation and denoising using non-negative subspace analysis[C]//Acoustics, Speech and Signal Processing, 2008. ICASSP 2008. IEEE International Conference on. IEEE, 2008: 1833-1836.
(6),Panagakis Y, Kotropoulos C, Arce G R. Music Genre Classification Using Locality Preserving Non-Negative Tensor Factorization and Sparse Representations[C]//ISMIR. 2009: 249-254.
(7),Benetos E, Kotropoulos C. Non-negative tensor factorization applied to music genre classification[J]. Audio, Speech, and Language Processing, IEEE Transactions on, 2010, 18(8): 1955-1967.
(8),Wu Q, Zhang L Q, Shi G C. Robust feature extraction for speaker recognition based on constrained nonnegative tensor factorization[J]. Journal of Computer Science and Technology, 2010, 25(4): 783-792.
(9),Nikunen J, Virtanen T, Vilermo M. Multichannel audio upmixing based on non-negative tensor factorization representation[C]//Applications of Signal Processing to Audio and Acoustics (WASPAA), 2011 IEEE Workshop on. IEEE, 2011: 33-36.
(10),Joder C, Schuller B. Exploring Nonnegative Matrix Factorization for Audio Classification: Application to Speaker Recognition[C]//Speech Communication; 10. ITG Symposium; Proceedings of. VDE, 2012: 1-4.
(11),Dessein A, Cont A, Lemaitre G. Real-time detection of overlapping sound events with non-negative matrix factorization[M]//Matrix information geometry. Springer Berlin Heidelberg, 2013: 341-371.
(12),Joder C, Weninger F, Eyben F, et al. Real-time speech separation by semi-supervised nonnegative matrix factorization[M]//Latent Variable Analysis and Signal Separation. Springer Berlin Heidelberg, 2012: 322-329.
(13),Grais E M, Erdogan H. Regularized nonnegative matrix factorization using Gaussian mixture priors for supervised single channel source separation[J]. Computer Speech & Language, 2012.
(14),Hu H, Mohammadiha N, Taghia J, et al. Sparsity level in a non-negative matrix factorization based speech strategy in cochlear implants[C]//Signal Processing Conference (EUSIPCO), 2012 Proceedings of the 20th European. IEEE, 2012: 2432-2436.
(15),Smaragdis P. Online parameter selection for source separation using non-negative matrix factorization[J]. 2012.
3.3 图像相关
(65 articles)
(1), Chen X, Gu L, Li S Z, et al. Learning representative local features for face detection[C]//Computer Vision and Pattern Recognition, 2001. CVPR 2001. Proceedings of the 2001 IEEE Computer Society Conference on. IEEE, 2001, 1: I-1126-I-1131 vol. 1.
(2), Guillamet D, Vitria J. Classifying faces with nonnegative matrix factorization[C]//Proc. 5th Catalan conference for artificial intelligence. 2002: 24-31.
(3), Feng T, Li S Z, Shum H Y, et al. Local non-negative matrix factorization as a visual representation[C]//Development and Learning, 2002. Proceedings. The 2nd International Conference on. IEEE, 2002: 178-183.
(4), Guillamet D, Vitria J, Schiele B. Introducing a weighted non-negative matrix factorization for p_w_picpath classification[J]. Pattern Recognition Letters, 2003, 24(14): 2447-2454.
(5), Sajda P, Du S, Parra L C. Recovery of constituent spectra using non-negative matrix factorization[C]//Optical Science and Technology, SPIE's 48th Annual Meeting. International Society for Optics and Photonics, 2003: 321-331.
(6), Okun O G. Non-negative matrix factorization and classifiers: experimental study[C]//Proceedings of the 4th IASTED International Conference on Visualization, Imaging, and Image Processing (VIIP'04). 2004: 550-555.
(7),肖杨. EM和HMM算法理论及其在图像分割和场景分析中的应用, 2004
(8),Neo H F, Teoh A B J, Ngo D C L. A Novel Spatially Confined Non-Negative Matrix Factorization for Face Recognition[C]//MVA. 2005: 502-505.
(9),Zafeiriou S, Tefas A, Buciu I, et al. Class-specific discriminant non-negative matrix factorization for frontal face verification[M]//Pattern Recognition and Image Analysis. Springer Berlin Heidelberg, 2005: 206-215.
(10),Zafeiriou S, Tefas A, Pitas I. Discriminant NMF-faces for frontal face verification[C]//IEEE International Workshop on Machine Learning for Signal Processing, Mystic, Connecticut. 2005.
(11),Pu X, Yi Z, Zheng Z, et al. Face recognition using fisher non-negative matrix factorization with sparseness constraints[M]//Advances in Neural Networks–ISNN 2005. Springer Berlin Heidelberg, 2005: 112-117.
(12),Heiler M, Schnorr C. Learning non-negative sparse p_w_picpath codes by convex programming[C]//Computer Vision, 2005. ICCV 2005. Tenth IEEE International Conference on. IEEE, 2005, 2: 1667-1674.
(13),Shashua A, Hazan T. Non-negative tensor factorization with applications to statistics and computer vision[C]//Proceedings of the 22nd international conference on Machine learning. ACM, 2005: 792-799.
(14),Hazan T, Polak S, Shashua A. Sparse p_w_picpath coding using a 3D non-negative tensor factorization[C]//Computer Vision, 2005. ICCV 2005. Tenth IEEE International Conference on. IEEE, 2005, 1: 50-57.
(15),Zhang D, Chen S, Zhou Z H. Two-dimensional non-negative matrix factorization for face representation and recognition[M]//Analysis and Modelling of Faces and Gestures. Springer Berlin Heidelberg, 2005: 350-363.
(16),Buciu I, Nikolaidis N, Pitas I. A comparative study of NMF, DNMF, and LNMF algorithms applied for face recognition[C]//Proc. Second IEEE-EURASIP International Symposium on Control, Communications, and Signal Processing (ISCCSP). 2006.
(17),Buciu I, Pitas I. NMF, LNMF, and DNMF modeling of neural receptive fields involved in human facial expression perception[J]. Journal of Visual Communication and Image Representation, 2006, 17(5): 958-969.
(18),欧阳怡彪, 蒲晓蓉, 章毅. 基于小波和非负稀疏矩阵分解的人脸识别方法[J]. 计算机应用研究, 2006, 10: 159-162.
(19),Shastri B J, Levine M D. Face recognition using localized features based on non-negative sparse coding[J]. Machine Vision and Applications, 2007, 18(2): 107-122.
(20),Bajla I, Soukup D. Non-negative matrix factorization: a study on influence of matrix sparseness and subspace distance metrics on p_w_picpath object recognition[C]//Eigth International Conference on Quality Control by Artificial Vision. International Society for Optics and Photonics, 2007: 635614-635614-12.
(21),Zhu Y L. Sub-pattern non-negative matrix factorization based on random subspace for face recognition[C]//Wavelet Analysis and Pattern Recognition, 2007. ICWAPR'07. International Conference on. IEEE, 2007, 3: 1356-1360.
(22),Bucak S S, Gunsel B. Video content representation by incremental non-negative matrix factorization[C]//Image Processing, 2007. ICIP 2007. IEEE International Conference on. IEEE, 2007, 2: II-113-II-116.
(23),Kotsia I, Zafeiriou S, Pitas I. Discriminant non-negative matrix factorization and projected gradients for frontal face verification[M]//Biometrics and Identity Management. Springer Berlin Heidelberg, 2008: 82-90.
(24),Oh H J, Lee K M, Lee S U. Occlusion invariant face recognition using selective local non-negative matrix factorization basis p_w_picpaths[J]. Image and Vision Computing, 2008, 26(11): 1515-1523.
(25),Soukup D, Bajla I. Robust object recognition under partial occlusions using NMF[J]. Computational Intelligence and Neuroscience, 2008, 2008.
(26),吴波等. 端元约束下的高光谱混合像元非负矩阵分解[J].计算机工程, 2008
(27),Arngren M, Schmidt M N, Larsen J. Bayesian nonnegative matrix factorization with volume prior for unmixing of hyperspectral p_w_picpaths[C]//Machine Learning for Signal Processing, 2009. MLSP 2009. IEEE International Workshop on. IEEE, 2009: 1-6.
(28),Lu J, Tan Y P. Doubly weighted nonnegative matrix factorization for imbalanced face recognition[C]//Acoustics, Speech and Signal Processing, 2009. ICASSP 2009. IEEE International Conference on. IEEE, 2009: 877-880.
(29),Buciu I, Nafornita I. Non-negative matrix factorization methods for face recognition under extreme lighting variations[C]//Signals, Circuits and Systems, 2009. ISSCS 2009. International Symposium on. IEEE, 2009: 1-4.
(30),蔡蕾, 朱永生. 基于稀疏性非负矩阵分解和支持向量机的时频图像识别[J]. 自动化学报, 2009 (10): 1272-1277.
(31),吕亚丽, 赵辽英. 基于约束非负矩阵分解的混合象元分解新方法[J]. 杭州电子科技大学学报, 2009, 4: 009.
(32),武俊义. 非负矩阵分解在图像分析中的应用[D]. 华北电力大学 (北京), 2009.
(33),郭金玉. 基于子空间法的掌纹识别研究 [D]. 沈阳工业大学, 2009.
(34),Zhang T, Fang B, Tang Y Y, et al. Locality preserving nonnegative matrix factorization with application to face recognition[J]. International Journal of Wavelets, Multiresolution and Information Processing, 2010, 8(05): 835-846.
(35), 龙泓琳, 皮亦鸣, 曹宗杰. 基于非负矩阵分解的 SAR 图像目标识别[J]. 电子学报, 2010, 38(6): 1425-1429.
(36),郭建虎. 非负矩阵分解方法及其在人脸识别中的应用[D]. 兰州理工大学, 2010.
(37),吕亚丽. 基于非负矩阵分解的高光谱图像解混技术研究[D]. 杭州电子科技大学, 2010.
(38),Zhi R, Flierl M, Ruan Q, et al. Graph-preserving sparse nonnegative matrix factorization with application to facial expression recognition[J]. Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on, 2011, 41(1): 38-52.
(40),Tiirkan M, Guillemot C. Image prediction based on non-negative matrix factorization[C]//Acoustics, Speech and Signal Processing (ICASSP), 2011 IEEE International Conference on. IEEE, 2011: 789-792.
(41),Wang C, He X, Bu J, et al. Image representation using Laplacian regularized nonnegative tensor factorization[J]. Pattern Recognition, 2011, 44(10): 2516-2526.
(42),李二森, 张保明, 杨娜, 等. 非负矩阵分解在高光谱图像解混中的应用探讨[J]. 测绘通报, 2011 (3): 7-10.
(43),刘雪松, 王斌, 张立明. 基于非负矩阵分解的高光谱遥感图像混合像元分解[J]. 红外与毫米波学报, 2011, 30(1): 27.
(44),郝红. 非负矩阵分解在遥感图像识别中的应用[D]. 浙江农林大学, 2011.
(45),刘雪松. 基于非负矩阵分解的高光谱遥感图像混合像元分解研究[D]. 复旦大学, 2011.
(46),蒋云志. 基于图谱理论和非负矩阵分解的图像分类[D]. 安徽大学, 2011.
(47),殷海青. 图像分析中的非负矩阵分解理论及其最优化和正则化方法研究[D]. 西安电子科技大学, 2011.
(48),Shao G, Han C, Guo T, et al. An NMF-Based Method for the Fingerprint Orientation Field Estimation[M]//Computer and Information Science 2012. Springer Berlin Heidelberg, 2012: 93-104.
(49),Liu H, Yang Z, Wu Z, et al. A-Optimal Non-negative Projection for p_w_picpath representation[C]//Computer Vision and Pattern Recognition (CVPR), 2012 IEEE Conference on. IEEE, 2012: 1592-1599.
(50),Liu H, Wu Z, Li X, et al. Constrained nonnegative matrix factorization for p_w_picpath representation[J]. Pattern Analysis and Machine Intelligence, IEEE Transactions on, 2012, 34(7): 1299-1311.
(51),Esser E, Moller M, Osher S, et al. A convex model for nonnegative matrix factorization and dimensionality reduction on physical space[J]. Image Processing, IEEE Transactions on, 2012, 21(7): 3239-3252.
(52),Yokoya N, Yairi T, Iwasaki A. Coupled nonnegative matrix factorization unmixing for hyperspectral and multispectral data fusion[J]. Geoscience and Remote Sensing, IEEE Transactions on, 2012, 50(2): 528-537.
(53),Li W, Qu D, Li M, et al. Feature extraction for identification of drug body packing based on nonnegative matrix factorization[J]. Analytical Methods, 2012, 4(6): 1704-1708.
(54),Zdunek R. Hyperspectral Image Unmixing with Nonnegative Matrix Factorization[C]//Signals and Electronic Systems (ICSES), 2012 International Conference on. IEEE, 2012: 1-4.
(55),Farouk R M, Khalil H A. Image Denoising based on Sparse Representation and Non-Negative Matrix Factorization[J]. Life Science Journal, 2012, 9(2).
(56),Guillemot C, Turkan M. Neighbor embedding with non-negative matrix factorization for p_w_picpath prediction[C]//Acoustics, Speech and Signal Processing (ICASSP), 2012 IEEE International Conference on. IEEE, 2012: 785-788.
(57),Casalino G, Buono N D, Minervini M. Nonnegative matrix factorizations performing object detection and localization[J]. Applied Computational Intelligence and Soft Computing, 2012, 2012: 15.
(58),Caicedo J C, González F A. Online matrix factorization for multimodal p_w_picpath retrieval[M]//Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications. Springer Berlin Heidelberg, 2012: 340-347.
(59),Rapin J, Bobin J, Larue A, et al. Robust Non-Negative Matrix Factorization for Multispectral Data with Sparse Prior[J]. Proceedings of ADA7, 2012.
(60),Zdunek R. Spectral signal unmixing with interior-point nonnegative matrix factorization[M]//Artificial Neural Networks and Machine Learning–ICANN 2012. Springer Berlin Heidelberg, 2012: 65-72.
(61),Nikitidis S, Tefas A, Nikolaidis N, et al. Subclass discriminant Nonnegative Matrix Factorization for facial p_w_picpath analysis[J]. Pattern Recognition, 2012, 45(12): 4080-4091.
(62),孙旭光, 蔡敬菊, 徐铅勇, 等. 基于非负矩阵分解的高光谱图像混合像元分解[J]. 光电工程, 2012, 39(12): 97-102.
(63),赵春晖, 成宝芝, 杨伟超. 利用约束非负矩阵分解的高光谱解混算法[J]. 哈尔滨工程大学学报, 2012, 33(3): 377-382.
(64),李其超. 基于非负矩阵分解的医学图像分割方法研究[D]. 安徽大学, 2012.
(65),刘建军, 吴泽彬, 韦志辉, 等. 基于约束非负矩阵分解的高光谱图像解混快速算法[J]. 电子学报, 2013.
3.4 其他
(30 articles)
(1), Liu W X, Zheng N N, Li X. Nonnegative Matrix Factorization for EEG Signal Classification. ISNN (2), 2004: 470~475
(2), Oja E, Plumbley M. Blind separation of positive sources using non-negative PCA[C]//4th International Symposium on Independent Component Analysis and Blind Signal Separation. 2003.
(3), Benaroya L, Donagh L M, Bimbot F, et al. Non negative sparse representation for Wiener based source separation with a single sensor[C]//Acoustics, Speech, and Signal Processing, 2003. Proceedings.(ICASSP'03). 2003 IEEE International Conference on. IEEE, 2003, 6: VI-613-16 vol. 6.
(4), Rao N, Shepherd S J. Extracting characteristic patterns from genome-wide expression data by non-negative matrix factorization[C]//Computational Systems Bioinformatics Conference, 2004. CSB 2004. Proceedings. 2004 IEEE. IEEE, 2004: 570-571.
(5),Rao N, Shepherd S J. Clustering gene expression data for periodic genes based on INMF[M]//Computational Intelligence and Bioinformatics. Springer Berlin Heidelberg, 2006: 412-423.
(6),Pauca V P, Piper J, Plemmons R J. Nonnegative matrix factorization for spectral data analysis[J]. Linear algebra and its applications, 2006, 416(1): 29-47.
(7),Li H, Adal T, Wang W, et al. Non-negative matrix factorization with orthogonality constraints and its application to Raman spectroscopy[J]. The Journal of VLSI Signal Processing Systems for Signal, Image, and Video Technology, 2007, 48(1-2): 83-97.
(8),Parry R M, Essa I. Phase-aware non-negative spectrogram factorization[M]//Independent Component Analysis and Signal Separation. Springer Berlin Heidelberg, 2007: 536-543.
(9),Kim H, Park H. Sparse non-negative matrix factorizations via alternating non-negativity-constrained least squares for microarray data analysis[J]. Bioinformatics, 2007, 23(12): 1495-1502.
(10),Zhang Q, Wang H, Plemmons R, et al. Spectral unmixing using nonnegative tensor factorization[C]//Proceedings of the 45th annual southeast regional conference. ACM, 2007: 531-532.
(11),张燕. 基于非负矩阵分解算法的离线笔迹鉴别[D]. 河北工业大学, 2007.
(12),Lee H, Choi S. CUR+ NMF for learning spectral features from large data matrix[C]//Neural Networks, 2008. IJCNN 2008.(IEEE World Congress on Computational Intelligence). IEEE International Joint Conference on. IEEE, 2008: 1592-1597.
(13),Devarajan K. Nonnegative matrix factorization: an analytical and interpretive tool in computational biology[J]. PLoS computational biology, 2008, 4(7): e1000029.
(14),Joshi S, Karthikeyan S, Manjunath B S, et al. Anatomical parts-based regression using non-negative matrix factorization[C]//Computer Vision and Pattern Recognition (CVPR), 2010 IEEE Conference on. IEEE, 2010: 2863-2870.
(15),Schachtner R. Extensions of non-negative matrix factorization and their application to the analysis of wafer test data[D]. Regensburg, Univ., Diss., 2010, 2010.
(16),Gupta S K, Phung D, Adams B, et al. Nonnegative shared subspace learning and its application to social media retrieval[C]//Proceedings of the 16th ACM SIGKDD international conference on Knowledge discovery and data mining. ACM, 2010: 1169-1178.
(17),Acar E, Dunlavy D M, Kolda T G, et al. Scalable tensor factorizations for incomplete data[J]. Chemometrics and Intelligent Laboratory Systems, 2011, 106(1): 41-56.
(18),Yang Z, Zhou G, Xie S, et al. Blind spectral unmixing based on sparse nonnegative matrix factorization[J]. Image Processing, IEEE Transactions on, 2011, 20(4): 1112-1125.
(19),Li Y, Ngom A. Non-negative matrix and tensor factorization based classification of clinical microarray gene expression data[C]//Bioinformatics and Biomedicine (BIBM), 2010 IEEE International Conference on. IEEE, 2010: 438-443.
(20),Allen G I, Maleti-Savati M. Sparse non-negative generalized PCA with applications to metabolomics[J]. Bioinformatics, 2011, 27(21): 3029-3035.
(21),Li Y, Ngom A. A new kernel non-negative matrix factorization and its application in microarray data analysis[C]//Computational Intelligence in Bioinformatics and Computational Biology (CIBCB), 2012 IEEE Symposium on. IEEE, 2012: 371-378.
(22),Pande P, Applegate B E, Jo J A. Application of non-negative matrix factorization to multispectral FLIM data analysis[J]. Biomedical optics express, 2012, 3(9): 2244.
(23),Shin B, Oh A. Bayesian Group Nonnegative Matrix Factorization for EEG Analysis[J]. arXiv preprint arXiv:1212.4347, 2012.
(24),Ochiai K, Kameoka H, Sagayama S. Explicit beat structure modeling for non-negative matrix factorization-based multipitch analysis[C]//Acoustics, Speech and Signal Processing (ICASSP), 2012 IEEE International Conference on. IEEE, 2012: 133-136.
(25),Markov K, Matsui T. Nonnegative matrix factorization based self-taught learning with application to music genre classification[C]//Machine Learning for Signal Processing (MLSP), 2012 IEEE International Workshop on. IEEE, 2012: 1-5.
(26),Cabras G, Carniel R, Jones J. Non-negative Matrix Factorization: an application to Erta’Ale volcano, Ethiopia[J]. Bollettino di Geofisica Teorica ed Applicata, 2012, 53(2): 231-242.
(27),Dubroca R, Junor C, Souloumiac A. Weighted NMF for high-resolution mass spectrometry analysis[C]//Signal Processing Conference (EUSIPCO), 2012 Proceedings of the 20th European. IEEE, 2012: 1806-1810.
(28),邹丹. 非负矩阵分解算法研究及其在个性化推荐系统中的应用[D]. 北京工业大学, 2012.
(29),Pekey H, Pekey B, Arslanba D, et al. Source Apportionment of Personal Exposure to Fine Particulate Matter and Volatile Organic Compounds using Positive Matrix Factorization[J]. Water, Air, & Soil Pollution, 2013, 224(1): 1-11.
(30),周子亮. 结合非负矩阵分解的推荐算法及框架研究[D]. 北京交通大学, 2013.
转自：http://blog.sina.com.cn/s/blog_569d6df80101cho9.html