"Update Rules for a Weighted Non-Negative Fh*G Factorization"
Pieter Peers, and Philip Dutré

Department of Computer Science, K.U.Leuven, CW440, April 2006

Abstract
In this report the derivation and prove of convergence of a weighted non-negative factorization of the form FH*G is discussed. The derivation and prove is based on Lee and Seung's original derivation of Non-negative Matrix Factorization . This form is particularly suited to factor matrices exhibiting a band-diagonal structure with orthogonal discontinuities.


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Additional Notes
  • This techincal report provides a formal derivation of the factorization method employed in Peers et al. "A Compact Factored Representation of Heterogeneous Subsurface Scattering".

Related Publications
  • Pieter Peers, Karl vom Berge, Wojciech Matusik, Ravi Ramamoorthi, Jason Lawrence, Szymon Rusinkiewicz, and Philip Dutré, "A Compact Factored Representation of Heterogeneous Subsurface Scattering", ACM Transactions on Graphics, Volume 25, Issue 3, pages 746-753, July 2006,
Bibtex
@techreport{Peers:2006:CFR:TechReport,
author = {Peers, Pieter and Dutr{\'e}, Philip},
title = {Update Rules for a Weighted Non-Negative Fh*G Factorization},
month = {April},
year = {2006},
institution = {Department of Computer Science, K.U.Leuven},
number = {CW440},
}
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