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AUTOMATICA
2008
139views more  AUTOMATICA 2008»
14 years 11 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
WWW
2004
ACM
15 years 11 months ago
The effect of the back button in a random walk: application for pagerank
Theoretical analysis of the Web graph is often used to improve the efficiency of search engines. The PageRank algorithm, proposed by [5], is used by the Google search engine [4] t...
Fabien Mathieu, Mohamed Bouklit
CVPR
2009
IEEE
15 years 3 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
COMPUTING
2006
112views more  COMPUTING 2006»
14 years 11 months ago
Fast Summation of Radial Functions on the Sphere
Radial functions are a powerful tool in many areas of multidimensional approximation, especially when dealing with scattered data. We present a fast approximate algorithm for the ...
Jens Keiner, Stefan Kunis, Daniel Potts
CDC
2008
IEEE
145views Control Systems» more  CDC 2008»
14 years 11 months ago
Necessary and sufficient conditions for success of the nuclear norm heuristic for rank minimization
Minimizing the rank of a matrix subject to constraints is a challenging problem that arises in many applications in control theory, machine learning, and discrete geometry. This c...
Benjamin Recht, Weiyu Xu, Babak Hassibi