"Update Rules for a Weighted Non-negative FH*G Factorization"
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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Bibtex
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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- Peers_TechReport2006.pdf (0.07Mb)
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
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"A Compact Factored Representation of Heterogeneous Subsurface Scattering",
ACM Transactions on Graphics, Volume 25, Issue 3,
pages 746-753,
July 2006,
@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},
}
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},
}