Nonsmooth Nonnegative Matrix Factorization (nsNMF)
IEEE Transactions on Pattern Analysis and Machine Intelligence
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Multiplicative updates for non-negative projections
Neurocomputing
Survey of Distance Measures for NMF-Based Face Recognition
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IPMI '09 Proceedings of the 21st International Conference on Information Processing in Medical Imaging
Detecting and removing specularities in facial images
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Pattern Recognition
Linear and nonlinear projective nonnegative matrix factorization
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Nonnegative matrix factorization with bounded total variational regularization for face recognition
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Pattern Recognition
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Extended SMART algorithms for non-negative matrix factorization
ICAISC'06 Proceedings of the 8th international conference on Artificial Intelligence and Soft Computing
Multidimensional Systems and Signal Processing
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In this paper, we propose a novel method, called local Non-negative matrix factorization (LNMF), for learning spatially localized, parts-based subspace representation of visual patterns.An objective function is defined to impose localization constraint, in addition t the non-negativity constraint in the standard NMF [1 ].This gives a set of bases which not only allows a non-subtractive (part-based)representation f images but also manifests localized features.An algorithm is presented for the learning of such basiscomponents.Experimental results are presented t compareLNMF with the NMF and PCA methods for face representation and recognition, which demonstrates advantages of LNMF.Based on our LNMF approach, a set of orthogonal, binary,localized basis components are learned from a well aligned face image database.It leads t a Walsh function based representation f the face images.These properties can be used t resolve occlusion problem, improve the computing efficiency, and compress the storage requirement offace detection and recognition system.