Authors
David Balduzzi
University of Zürich
Abstract
We information-theoretically reformulate two measures of capacity from statistical learning theory: empirical VC-entropy and empirical Rademacher complexity. We show these capacity measures count the number of hypotheses about a dataset that a learning algorithm falsifies when it finds the classifier in its repertoire minimizing empirical risk. It then follows from that the future performance of predictors on unseen data is controlled in part by how many hypotheses the learner falsifies. As a corollary we show that empirical VC-entropy quantifies the message length of the true hypothesis in the optimal code of a particular probability distribution, the so-called actual repertoire.
Keywords information theory  falsification  statistical learning theory  induction  falsifiabillity  Popper
Categories (categorize this paper)
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

 PhilArchive page | Other versions
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

On the Plurality of Worlds.David Lewis - 1986 - Wiley-Blackwell.
The Logic of Scientific Discovery.K. Popper - 1959 - British Journal for the Philosophy of Science 10 (37):55-57.
On The Plurality of Worlds.Graeme Forbes - 1988 - Philosophical Quarterly 38 (151):222-240.

Add more references

Citations of this work BETA

Add more citations

Similar books and articles

Systems, Inquiry, and the Meanings of Falsification.Ian I. Mitroff - 1973 - Philosophy of Science 40 (2):255-276.
Die Falsifikation Statistischer Hypothesen/The Falsification of Statistical Hypotheses.Max Albert - 1992 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 23 (1):1-32.

Analytics

Added to PP index
2013-09-26

Total views
328 ( #31,109 of 2,498,126 )

Recent downloads (6 months)
23 ( #37,540 of 2,498,126 )

How can I increase my downloads?

Downloads

My notes