Convolutional Trees for Fast Transform Learning

Abstract : —Dictionary learning is a powerful approach for sparse representation. However, the numerical complexity of classical dictionary learning methods restricts their use to atoms with small supports such as patches. In a previous work, we introduced a model based on a composition of convolutions with sparse kernels to build large dictionary atoms with a low computational cost. The subject of this work is to consider this model at the next level, i.e., to build a full dictionary of atoms from convolutions of sparse kernels. Moreover, we further reduce the size of the representation space by organizing the convolution kernels used to build atoms into a tree structure. The performance of the method is tested for the construction of a curvelet dictionary with a known code.
Type de document :
Communication dans un congrès
SPARS, 2015, Cambridge, United Kingdom. Proceedings of SPARS
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  • HAL Id : hal-01486832, version 1


Olivier Chabiron, Jean-Yves Tourneret, Herwig Wendt, François Malgouyres. Convolutional Trees for Fast Transform Learning. SPARS, 2015, Cambridge, United Kingdom. Proceedings of SPARS. 〈hal-01486832〉



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