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A sufficient condition for polynomial distribution-dependent learnability

✍ Scribed by Martin Anthony; John Shawe-Taylor


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
741 KB
Volume
77
Category
Article
ISSN
0166-218X

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✦ Synopsis


We investigate upper bounds on the sample-size sufficient for 'solid' learnability with respect to a probability distribution. Extending analysis of Ben-David et al. (1989, 1995) and Bendek and Itai (1991) we obtain a sufficient condition for feasible (polynomially bounded) sample-size bounds for distribution-specific (solid) learnability.


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In this paper a su cient condition for a cone of polynomials to be Hurwitz is established. Such condition is a matrix inequality, which gives a simple algebraic test for the stability of rays of polynomials. As an application to stable open-loop systems, a cone of gains c such that the function u =