dc.creator | Cichocki, Andrzej | |
dc.creator | Cruces Álvarez, Sergio Antonio | |
dc.creator | Amari, Shun-ichi | |
dc.date.accessioned | 2015-12-10T13:07:56Z | |
dc.date.available | 2015-12-10T13:07:56Z | |
dc.date.issued | 2011 | |
dc.identifier.issn | 1099-4300 | es |
dc.identifier.uri | http://hdl.handle.net/11441/31765 | |
dc.description.abstract | We propose a class of multiplicative algorithms for Nonnegative Matrix Factorization (NMF) which are robust with respect to noise and outliers. To achieve this, we formulate a new family generalized divergences referred to as the Alpha-Beta-divergences (AB-divergences), which are parameterized by the two tuning parameters, alpha and beta, and smoothly connect the fundamental Alpha-, Beta- and Gamma-divergences. By adjusting these tuning parameters, we show that a wide range of standard and new divergences can be obtained. The corresponding learning algorithms for NMF are shown to integrate and generalize many existing ones, including the Lee-Seung, ISRA (Image Space Reconstruction Algorithm), EMML (Expectation Maximization Maximum Likelihood), Alpha-NMF, and Beta-NMF. Owing to more degrees of freedom in tuning the parameters, the proposed family of AB-multiplicative NMF algorithms is shown to improve robustness with respect to noise and outliers. The analysis illuminates the links of between AB-divergence and other divergences, especially Gamma- and Itakura-Saito divergences. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Multidisciplinary Digital Publishing Institute | es |
dc.relation.ispartof | Entropy, 13(1), 134-170 | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | nonnegative matrix factorization (NMF) | es |
dc.subject | robust multiplicative NMF algorithms | es |
dc.subject | similarity measures | es |
dc.subject | generalized divergences | es |
dc.subject | Alpha-divergences | es |
dc.subject | Beta-divergences | es |
dc.subject | Gamma-divergences | es |
dc.subject | extended Itakura-Saito like divergences | es |
dc.subject | generalized Kullback-Leibler divergence | es |
dc.title | Generalized Alpha-Beta Divergences and Their Application to Robust Nonnegative Matrix Factorization | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Teoría de la Señal y Comunicaciones | es |
dc.relation.publisherversion | http://dx.doi.org/10.3390/e13010134 | es |
dc.identifier.doi | http://dx.doi.org/10.3390/e13010134 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/31765 | |