I-theory on depth vs width: hierarchical function composition

Deep learning networks with convolution, pooling and subsampling are a special case of hierar- chical architectures, which can be represented by trees (such as binary trees). Hierarchical as well as shallow networks can approximate functions of several variables, in particular those that are com- po...

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Bibliographic Details
Main Authors: Poggio, Tomaso, Anselmi, Fabio, Rosasco, Lorenzo
Format: Technical Report
Language:en_US
Published: Center for Brains, Minds and Machines (CBMM) 2015
Subjects:
Online Access:http://hdl.handle.net/1721.1/100559