IEEE Trans Pattern Anal Mach Intell - Nonnegative Matrix Factorization with Earth Mover's Distance Metric for Image Analysis.

Tópicos

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Resumo

Nonnegative matrix factorization (NMF) approximates a given data matrix as a product of two low-rank nonnegative matrices, usually by minimizing the L2 or the KL distance between the data matrix and the matrix product. This factorization was shown to be useful for several important computer vision applications. We propose here two new NMF algorithms that minimize the Earth mover's distance (EMD) error between the data and the matrix product. The algorithms (EMD NMF and bilateral EMD NMF) are iterative and based on linear programming methods. We prove their convergence, discuss their numerical difficulties, and propose efficient approximations. Naturally, the matrices obtained with EMD NMF are different from those obtained with L2-NMF. We discuss these differences in the context of two challenging computer vision tasks, texture classification and face recognition, perform actual NMF-based image segmentation for the first time, and demonstrate the advantages of the new methods with common benchmarks.

Resumo Limpo

nonneg matrix factor nmf approxim given data matrix product two lowrank nonneg matric usual minim l kl distanc data matrix matrix product factor shown use sever import comput vision applic propos two new nmf algorithm minim earth mover distanc emd error data matrix product algorithm emd nmf bilater emd nmf iter base linear program method prove converg discuss numer difficulti propos effici approxim natur matric obtain emd nmf differ obtain lnmf discuss differ context two challeng comput vision task textur classif face recognit perform actual nmfbase imag segment first time demonstr advantag new method common benchmark

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