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Understanding deep convolutional networks

delete2016-04-13
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Stéphane Mallat *
DOI:10.1098/rsta.2015.0203delete
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Abstract

Abstract

En 中文
Deep convolutional networks provide state-of-the-art classifications and regressions results overmany high-dimensional problems. We review their architecture, which scatters data with a cascade of linear filter weights and nonlinearities. A mathematical framework is introduced to analyse their properties. Computations of invariants involve multiscale contractions with wavelets, the linearization of hierarchical symmetries and sparse separations. Applications are discussed.
Keywords:
deep convolutional neural networks
learning
wavelets
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Journal

P
Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences
IF:
3.7
Papers:
7.7K
Citations:
2.8W

Organization

U
Universite PSL
Scholars:
3.3W
Papers: 2.5W
Citations: 91