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Understanding Deep Convolutional Networks

2016-01-19 · Stéphane Mallat

Deep convolutional networks provide state of the art classifications and regressions results over many high-dimensional problems. We review their architecture, which scatters data with a cascade of linear filter weights and non-linearities. A mathematical framework is introduced to analyze their properties. Computations of invariants involve multiscale contractions, the linearization of hierarchical symmetries, and sparse separations. Applications are discussed.

📄 PDF Abstract BibTeX arXiv:1601.04920

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