Image compression using an edge adapted redundant dictionary and wavelets
Signal Processing - Sparse approximations in signal and image processing
Video coding using 3D dual-tree wavelet transform
Journal on Image and Video Processing
Hybrid video coding based on bidimensional matching pursuit
EURASIP Journal on Applied Signal Processing
A neural network pruning approach based on compressive sampling
IJCNN'09 Proceedings of the 2009 international joint conference on Neural Networks
Weight-decay regularization in reproducing Kernel Hilbert spaces by variable-basis schemes
WSEAS Transactions on Mathematics
Stagewise weak gradient pursuits
IEEE Transactions on Signal Processing
Parametric dictionary design for sparse coding
IEEE Transactions on Signal Processing
Block-sparse signals: uncertainty relations and efficient recovery
IEEE Transactions on Signal Processing
Some comparisons of model complexity in linear and neural-network approximation
ICANN'10 Proceedings of the 20th international conference on Artificial neural networks: Part III
Kernel networks with fixed and variable widths
ICANNGA'11 Proceedings of the 10th international conference on Adaptive and natural computing algorithms - Volume Part I
Bounds for approximate solutions of Fredholm integral equations using kernel networks
ICANN'11 Proceedings of the 21th international conference on Artificial neural networks - Volume Part I
Matching Pursuits with random sequential subdictionaries
Signal Processing
Heteroscedastic Sparse Representation Based Classification for Face Recognition
Neural Processing Letters
Some comparisons of networks with radial and kernel units
ICANN'12 Proceedings of the 22nd international conference on Artificial Neural Networks and Machine Learning - Volume Part II
Hi-index | 754.85 |
The purpose of this correspondence is to extend results by Villemoes and Temlyakov about exponential convergence of Matching Pursuit (MP) with some structured dictionaries for "simple" functions in finite or infinite dimension. The results are based on an extension of Tropp's results about Orthogonal Matching Pursuit (OMP) in finite dimension, with the observation that it does not only work for OMP but also for MP. The main contribution is a detailed analysis of the approximation and stability properties of MP with quasi-incoherent dictionaries, and a bound on the number of steps sufficient to reach an error no larger than a penalization factor times the best m-term approximation error.