Multiplicative Updates for Convolutional NMF Under $\beta$-Divergence
Machine Learning
2019-06-11 v2 Data Structures and Algorithms
Machine Learning
Abstract
In this letter, we generalize the convolutional NMF by taking the -divergence as the contrast function and present the correct multiplicative updates for its factors in closed form. The new updates unify the -NMF and the convolutional NMF. We state why almost all of the existing updates are inexact and approximative w.r.t. the convolutional data model. We show that our updates are stable and that their convergence performance is consistent across the most common values of .
Keywords
Cite
@article{arxiv.1803.05159,
title = {Multiplicative Updates for Convolutional NMF Under $\beta$-Divergence},
author = {Pedro J. Villasana T. and Stanislaw Gorlow and Arvind T. Hariraman},
journal= {arXiv preprint arXiv:1803.05159},
year = {2019}
}