Why and When Can Deep -- but Not Shallow -- Networks Avoid the Curse of Dimensionality: a Review

November 02, 2016 ยท The Cartographer ยท ๐Ÿ› International Journal of Automation and Computing

๐Ÿ“š THE CARTOGRAPHER: The Cartographer
Survey/review paper โ€” maps the landscape rather than implementing a method.

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"Title-pattern auto-detect: Why and When Can Deep -- but Not Shallow -- Networks Avoid the Curse of Dimensionality: a Review"

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Authors Tomaso Poggio, Hrushikesh Mhaskar, Lorenzo Rosasco, Brando Miranda, Qianli Liao arXiv ID 1611.00740 Category cs.LG: Machine Learning Citations 623 Venue International Journal of Automation and Computing Last Checked 7 days ago
Abstract
The paper characterizes classes of functions for which deep learning can be exponentially better than shallow learning. Deep convolutional networks are a special case of these conditions, though weight sharing is not the main reason for their exponential advantage.
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