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NIPS
2008
13 years 5 months ago
Theory of matching pursuit
We analyse matching pursuit for kernel principal components analysis (KPCA) by proving that the sparse subspace it produces is a sample compression scheme. We show that this bound...
Zakria Hussain, John Shawe-Taylor
ICCV
2003
IEEE
14 years 6 months ago
Towards a Mathematical Theory of Primal Sketch and Sketchability
In this paper, we present a mathematical theory for Marr's primal sketch. We first conduct a theoretical study of the descriptive Markov random field model and the generative...
Cheng-en Guo, Song Chun Zhu, Ying Nian Wu
ICASSP
2009
IEEE
13 years 11 months ago
A low complexity Orthogonal Matching Pursuit for sparse signal approximation with shift-invariant dictionaries
We propose a variant of Orthogonal Matching Pursuit (OMP), called LoCOMP, for scalable sparse signal approximation. The algorithm is designed for shift-invariant signal dictionari...
Boris Mailhé, Rémi Gribonval, Fr&eac...
FOCM
2008
156views more  FOCM 2008»
13 years 4 months ago
Random Sampling of Sparse Trigonometric Polynomials, II. Orthogonal Matching Pursuit versus Basis Pursuit
We investigate the problem of reconstructing sparse multivariate trigonometric polynomials from few randomly taken samples by Basis Pursuit and greedy algorithms such as Orthogona...
Stefan Kunis, Holger Rauhut