• DocumentCode
    3018838
  • Title

    The Correct Exponent for the Gotsman-Linial Conjecture

  • Author

    Kane, D.M.

  • Author_Institution
    Dept. of Math., Stanford Univ., Stanford, CA, USA
  • fYear
    2013
  • fDate
    5-7 June 2013
  • Firstpage
    56
  • Lastpage
    64
  • 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.
  • Keywords
    polynomials; Gotsman-Linial conjecture; function sensitivity; polynomial threshold function; Atmospheric measurements; Hypercubes; Polynomials; Reactive power; Sensitivity; Standards; Combinatorial Mathematics; Polynomials;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computational Complexity (CCC), 2013 IEEE Conference on
  • Conference_Location
    Stanford, CA
  • Type

    conf

  • DOI
    10.1109/CCC.2013.15
  • Filename
    6597749
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3018838