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» Explicit constructions of RIP matrices and related problems
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JSCIC
2007
100views more  JSCIC 2007»
13 years 7 months ago
Implicit-Explicit Schemes for BGK Kinetic Equations
In this work a new class of numerical methods for the BGK model of kinetic equations is presented. In principle, schemes of any order of accuracy in both space and time can be con...
Sandra Pieraccini, Gabriella Puppo
ICML
2005
IEEE
14 years 8 months ago
Analysis and extension of spectral methods for nonlinear dimensionality reduction
Many unsupervised algorithms for nonlinear dimensionality reduction, such as locally linear embedding (LLE) and Laplacian eigenmaps, are derived from the spectral decompositions o...
Fei Sha, Lawrence K. Saul
SIAMMAX
2010
103views more  SIAMMAX 2010»
13 years 2 months ago
On Chebyshev Polynomials of Matrices
The mth Chebyshev polynomial of a square matrix A is the monic polynomial that minimizes the matrix 2-norm of p(A) over all monic polynomials p(z) of degree m. This polynomial is u...
Vance Faber, Jörg Liesen, Petr Tichý
UAI
2003
13 years 8 months ago
Learning Generative Models of Similarity Matrices
Recently, spectral clustering (a.k.a. normalized graph cut) techniques have become popular for their potential ability at finding irregularlyshaped clusters in data. The input to...
Rómer Rosales, Brendan J. Frey
SODA
2010
ACM
169views Algorithms» more  SODA 2010»
14 years 4 months ago
Efficiently Decodable Non-adaptive Group Testing
We consider the following "efficiently decodable" nonadaptive group testing problem. There is an unknown string x {0, 1}n with at most d ones in it. We are allowed to t...
Piotr Indyk, Hung Q. Ngo, Atri Rudra