Notes on Hierarchical Splines, DCLNs and i-theory

We define an extension of classical additive splines for multivariate function approximation that we call hierarchical splines. We show that the case of hierarchical, additive, piece-wise linear splines includes present-day Deep Convolutional Learning Networks (DCLNs) with linear rectifiers and pool...

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Bibliographic Details
Main Authors: Poggio, Tomaso, Rosasco, Lorenzo, Shashua, Amnon, Cohen, Nadav, Anselmi, Fabio
Format: Technical Report
Language:en_US
Published: Center for Brains, Minds and Machines (CBMM) 2015
Subjects:
Online Access:http://hdl.handle.net/1721.1/100201