Function learning from interpolation

Anthony, Martin ORCID: 0000-0002-7796-6044 and Bartlett, Peter L. (2000) Function learning from interpolation. Combinatorics, Probability and Computing, 9 (3). pp. 213-225. ISSN 0963-5483

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Abstract

In this paper, we study a statistical property of classes of real-valued functions that we call approximation from interpolated examples. We derive a characterization of function classes that have this property, in terms of their ‘fat-shattering function’, a notion that has proved useful in computational learning theory. The property is central to a problem of learning real-valued functions from random examples in which we require satisfactory performance from every algorithm that returns a function which approximately interpolates the training examples.

Item Type:	Article
Official URL:	http://journals.cambridge.org/action/displayJourna...
Additional Information:	© 2000 Cambridge University Press
Divisions:	Mathematics
Subjects:	Q Science > QA Mathematics
Date Deposited:	20 Nov 2008 10:26
Last Modified:	11 Sep 2025 06:19
URI:	http://eprints.lse.ac.uk/id/eprint/7623

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