Understanding Deep Convolutional Networks
January 19, 2016 Β· Declared Dead Β· π 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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