On pde characterization of smooth hierarchical functions computed by neural networks

Neural networks are versatile tools for computation, having the ability to approximate a broad range of functions. An important problem in the theory of deep neural networks is expressivity; that is, we want to understand the functions that are computable by a given network. We study real, infinitel...

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Bibliographic Details
Main Authors: Farhoodi, R. (Author), Filom, K. (Author), Kording, K.P (Author)
Format: Article
Language:English
Published: MIT Press Journals 2021
Subjects:
Online Access:View Fulltext in Publisher