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SIAMSC
2008
167views more  SIAMSC 2008»
13 years 5 months ago
Low-Dimensional Polytope Approximation and Its Applications to Nonnegative Matrix Factorization
In this study, nonnegative matrix factorization is recast as the problem of approximating a polytope on the probability simplex by another polytope with fewer facets. Working on th...
Moody T. Chu, Matthew M. Lin
ICCV
2011
IEEE
12 years 5 months ago
The Generalized Trace-Norm and its Application to Structure-from-Motion Problems
In geometric computer vision, the structure from motion (SfM) problem can be formulated as a optimization problem with a rank constraint. It is well known that the trace norm of a...
Roland Angst, Christopher Zach, Marc Pollefeys
AUTOMATICA
2008
139views more  AUTOMATICA 2008»
13 years 5 months ago
Structured low-rank approximation and its applications
Fitting data by a bounded complexity linear model is equivalent to low-rank approximation of a matrix constructed from the data. The data matrix being Hankel structured is equival...
Ivan Markovsky
JMLR
2012
11 years 7 months ago
Fast interior-point inference in high-dimensional sparse, penalized state-space models
We present an algorithm for fast posterior inference in penalized high-dimensional state-space models, suitable in the case where a few measurements are taken in each time step. W...
Eftychios A. Pnevmatikakis, Liam Paninski
CVPR
2009
IEEE
13 years 9 months ago
Nonnegative Matrix Factorization with Earth Mover's Distance metric
Nonnegative Matrix Factorization (NMF) approximates a given data matrix as a product of two low rank nonnegative matrices, usually by minimizing the L2 or the KL distance between ...
Roman Sandler, Michael Lindenbaum