Deterministic Length Reduction: Fast Convolution in Sparse Data and Applications

  • Amihood Amir
  • Oren Kapah
  • Ely Porat
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4580)


In this paper a deterministic algorithm for the length reduction problem is presented. This algorithm enables a new tool for performing fast convolution in sparse data. The proposed algorithm performs the convolution in \(O(n_1 \log^3 n_1)\), where n 1 is the number of non-zero values in V 1. This algorithm assumes that V 1 is given in advance, and the V 2 is given in running time.


Prime Number Vector Versus Sparse Data Deterministic Algorithm Deterministic Solution 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Amihood Amir
    • 1
  • Oren Kapah
    • 1
  • Ely Porat
    • 1
  1. 1.Department of Computer Science, Bar-Ilan University, Ramat-Gan 52900Israel

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