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de Almeida, A. (2015). Non-negative Matrix Factorization using posrank-based approximation decompositions. Proceedings of the EUROCOM 2015. 366-369
A. M. Almeida, "Non-negative Matrix Factorization using posrank-based approximation decompositions", in Proc. of the EUROCOM 2015, Salamanca, pp. 366-369, 2015
@misc{almeida2015_1775674341426,
author = "de Almeida, A.",
title = "Non-negative Matrix Factorization using posrank-based approximation decompositions",
year = "2015",
howpublished = "Ambos (impresso e digital)",
url = "http://ieeexplore.ieee.org/document/7313764/"
}
TY - CPAPER TI - Non-negative Matrix Factorization using posrank-based approximation decompositions T2 - Proceedings of the EUROCOM 2015 AU - de Almeida, A. PY - 2015 SP - 366-369 CY - Salamanca UR - http://ieeexplore.ieee.org/document/7313764/ AB - The present work addresses a particular issue related to the nonnegative factorisation of a matrix (NMF). When NMF is formulated as a nonlinear programming optimisation problem some algebraic properties concerning the dimensionality of the factorisation arise as especially important for the numerical resolution. Its importance comes in the form of a guarantee to obtain good quality approximations to the solutions of signal processing image problems. The focus of this work lies in the importance of the rank of the factor matrices, especially in the so-called posrank of the factorisation. We report computational tests that favor the conclusion that the value of the posrank has an important impact on the quality of the images recovered from the decomposition. ER -
English