PhiMac Seminar – Teun van Nuland – Universal Approximation on all of R^n
Dec 1, 2023
11:00AM to 12:00PM
Date/Time
Date(s) - 01/12/2023
11:00 am - 12:00 pm
Location: Zoom Meeting
Speaker: Teun van Nuland (University of New South Wales, Sydney)
Title: Universal Approximation on all of R^n
Abstract:
The universal approximation theorem is generalised to uniform convergence on the (noncompact) input space Rn. All continuous functions that vanish at infinity can be uniformly approximated by neural networks with one hidden layer, for all continuous activation functions phi (is not) = 0 with asymptotically linear behaviour at ±phi. When phi is moreover bounded, we exactly determine which functions can be uniformly approximated by neural networks, with the following unexpected results.
Link:
https://mcmaster.zoom.us/j/91260076066
Meeting ID: 912 6007 6066
Passcode: 065564