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STOC
2012
ACM
242views Algorithms» more  STOC 2012»
11 years 11 months ago
Separating multilinear branching programs and formulas
This work deals with the power of linear algebra in the context of multilinear computation. By linear algebra we mean algebraic branching programs (ABPs) which are known to be com...
Zeev Dvir, Guillaume Malod, Sylvain Perifel, Amir ...
ISSAC
1994
Springer
165views Mathematics» more  ISSAC 1994»
14 years 26 days ago
Constructing Permutation Representations for Large Matrix Groups
New techniques, both theoretical and practical, are presented for constructing a permutation representation for a matrix group. We assume that the resulting permutation degree, n,...
Gene Cooperman, Larry Finkelstein, Bryant W. York,...
AMC
2010
126views more  AMC 2010»
13 years 9 months ago
On condition numbers of polynomial eigenvalue problems
In this paper, we investigate condition numbers of eigenvalue problems of matrix polynomials with nonsingular leading coefficients, generalizing classical results of matrix pertur...
Nikolaos Papathanasiou, Panayiotis Psarrakos
NIPS
2000
13 years 10 months ago
Algorithms for Non-negative Matrix Factorization
Non-negative matrix factorization (NMF) has previously been shown to be a useful decomposition for multivariate data. Two different multiplicative algorithms for NMF are analyzed....
Daniel D. Lee, H. Sebastian Seung
COLT
2008
Springer
13 years 10 months ago
Learning Rotations
An algorithm is presented for online learning of rotations. The proposed algorithm involves matrix exponentiated gradient updates and is motivated by the von Neumann divergence. T...
Adam M. Smith, Manfred K. Warmuth