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» The Polynomial Method for Random Matrices
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ISSAC
2009
Springer
150views Mathematics» more  ISSAC 2009»
14 years 18 days ago
On finding multiplicities of characteristic polynomial factors of black-box matrices
We present algorithms and heuristics to compute the characteristic polynomial of a matrix given its minimal polynomial. The matrix is represented as a black-box, i.e., by a functi...
Jean-Guillaume Dumas, Clément Pernet, B. Da...
JC
2000
138views more  JC 2000»
13 years 5 months ago
Multivariate Polynomials, Duality, and Structured Matrices
We rst review thebasic properties of the well knownclasses of Toeplitz, Hankel, Vandermonde, and other related structured matrices and reexamine their correlation to operations wi...
Bernard Mourrain, Victor Y. Pan
APPROX
2008
Springer
102views Algorithms» more  APPROX 2008»
13 years 8 months ago
Dense Fast Random Projections and Lean Walsh Transforms
Random projection methods give distributions over k
Edo Liberty, Nir Ailon, Amit Singer
ICASSP
2010
IEEE
13 years 6 months ago
Evaluation of random-projection-based feature combination on speech recognition
Random projection has been suggested as a means of dimensionality reduction, where the original data are projected onto a subspace using a random matrix. It represents a computati...
Tetsuya Takiguchi, Jeff Bilmes, Mariko Yoshii, Yas...
PKDD
2004
Springer
116views Data Mining» more  PKDD 2004»
13 years 11 months ago
Random Matrices in Data Analysis
We show how carefully crafted random matrices can achieve distance-preserving dimensionality reduction, accelerate spectral computations, and reduce the sample complexity of certai...
Dimitris Achlioptas