Title
Classification with invariant scattering representations
Abstract
A scattering transform defines a signal representation which is invariant to translations and Lipschitz continuous relatively to deformations. It is implemented with a non-linear convolution network that iterates over wavelet and modulus operators. Lipschitz continuity locally linearizes deformations. Complex classes of signals and textures can be modeled with low-dimensional affine spaces, computed with a PCA in the scattering domain. Classification is performed with a penalized model selection. State of the art results are obtained for handwritten digit recognition over small training sets, and for texture classification.
Year
DOI
Venue
2011
10.1109/IVMSPW.2011.5970362
Ithaca, NY
Keywords
Field
DocType
image classification,transforms,Lipschitz continuity,PCA,handwritten digit recognition,image classification,invariant scattering transform representation,modulus operator,nonlinear convolution network,signal representation,Image classification,Invariant representations,local image descriptors,pattern recognition,texture classification
Affine transformation,Pattern recognition,Convolution,Algorithm,Artificial intelligence,Lipschitz continuity,Invariant (mathematics),Operator (computer programming),Contextual image classification,Mathematics,Wavelet,Wavelet transform
Journal
Volume
ISBN
Citations 
abs/1112.1120
978-1-4577-1284-5
1
PageRank 
References 
Authors
0.35
12
2
Name
Order
Citations
PageRank
J. Bruna1169782.95
Stéphane Mallat24107718.30