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The Correct Exponent for the Gotsman-Linial Conjecture | IEEE Conference Publication | IEEE Xplore

The Correct Exponent for the Gotsman-Linial Conjecture


Abstract:

We prove new bounds on the average sensitivity of polynomial threshold functions. In particular, we show the average sensitivity of a polynomial threshold function of con...Show More

Abstract:

We prove new bounds on the average sensitivity of polynomial threshold functions. In particular, we show the average sensitivity of a polynomial threshold function of constant degree is not much more than the square root of the dimension of its space of definition. This bound amounts to a significant improvement over previous bounds, and in particular, for fixed degree provides the correct asymptotic exponent in the dimension.
Date of Conference: 05-07 June 2013
Date Added to IEEE Xplore: 16 September 2013
Electronic ISBN:978-0-7695-4997-2

ISSN Information:

Conference Location: Stanford, CA, USA

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