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» Parallel matrix algorithms and applications
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SIAMSC
2008
167views more  SIAMSC 2008»
13 years 8 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
ICRA
2007
IEEE
126views Robotics» more  ICRA 2007»
14 years 2 months ago
Incremental Spectral Clustering and Its Application To Topological Mapping
Abstract— This paper presents a novel use of spectral clustering algorithms to support cases where the entries in the affinity matrix are costly to compute. The method is increm...
Christoffer Valgren, Tom Duckett, Achim J. Lilient...
SAGA
2007
Springer
14 years 2 months ago
Probabilistic Techniques in Algorithmic Game Theory
We consider applications of probabilistic techniques in the framework of algorithmic game theory. We focus on three distinct case studies: (i) The exploitation of the probabilistic...
Spyros C. Kontogiannis, Paul G. Spirakis
CDC
2009
IEEE
117views Control Systems» more  CDC 2009»
14 years 1 months ago
A limiting property of the matrix exponential with application to multi-loop control
— A limiting property of the matrix exponential is proven: For a real square matrix, where the log norm of the upper-left n by n block approaches negative infinity in a limiting...
Sebastian Trimpe, Raffaello D'Andrea
PDP
2008
IEEE
14 years 3 months ago
Scheduling of QR Factorization Algorithms on SMP and Multi-Core Architectures
This paper examines the scalable parallel implementation of QR factorization of a general matrix, targeting SMP and multi-core architectures. Two implementations of algorithms-by-...
Gregorio Quintana-Ortí, Enrique S. Quintana...