• DocumentCode
    577778
  • Title

    Algebraic method to pseudo-Boolean function and its application in pseudo-Boolean optimization

  • Author

    Li, Zhiqiang ; Song, Jinli ; Xiao, Huimin

  • Author_Institution
    Dept. of Math. & Inf. Sci., Henan Univ. of Econ. & Law, Zhengzhou, China
  • fYear
    2012
  • fDate
    6-8 July 2012
  • Firstpage
    2468
  • Lastpage
    2472
  • Abstract
    In this paper, the optimization of pseudo-Boolean functions is considered. Boolean variables are expressed into their vector form. Using semi-tensor product, the pseudo-Boolean function is expressed as its normal form and algebraic form. Based on the normal form, we discuss the optimal approximation problem of pseudo-Boolean function.
  • Keywords
    Boolean functions; approximation theory; optimisation; tensors; algebraic method; optimal approximation problem; pseudo-Boolean function; pseudo-Boolean optimization; semitensor product; Approximation methods; Boolean functions; Optimization; Physics; Polynomials; Vectors; algebraic form; normal form; optimization; pseudo Boolean function; semi-tensor product;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Intelligent Control and Automation (WCICA), 2012 10th World Congress on
  • Conference_Location
    Beijing
  • Print_ISBN
    978-1-4673-1397-1
  • Type

    conf

  • DOI
    10.1109/WCICA.2012.6358288
  • Filename
    6358288