Understanding Deep Convolutional Networks

January 19, 2016 Β· Declared Dead Β· πŸ› Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

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Authors StΓ©phane Mallat arXiv ID 1601.04920 Category stat.ML: Machine Learning (Stat) Cross-listed cs.CV, cs.LG Citations 669 Venue Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences Last Checked 1 month ago
Abstract
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.
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