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ISAAC
2010
Springer
233views Algorithms» more  ISAAC 2010»
13 years 8 months ago
Computing Sparse Multiples of Polynomials
We consider the problem of finding a sparse multiple of a polynomial. Given f F[x] of degree d, and a desired sparsity t, our goal is to determine if there exists a multiple h F[...
Mark Giesbrecht, Daniel S. Roche, Hrushikesh Tilak
TIT
2010
98views Education» more  TIT 2010»
13 years 4 months ago
QR decomposition of Laurent polynomial matrices sampled on the unit circle
Abstract--We consider Laurent polynomial (LP) matrices defined on the unit circle of the complex plane. QR decomposition of an LP matrix A(s) yields QR factors Q(s) and R(s) that, ...
Davide Cescato, Helmut Bölcskei
CSL
2010
Springer
13 years 10 months ago
Randomisation and Derandomisation in Descriptive Complexity Theory
We study probabilistic complexity classes and questions of derandomisation from a logical point of view. For each logic L we introduce a new logic BPL, bounded error probabilistic ...
Kord Eickmeyer, Martin Grohe
CSR
2011
Springer
13 years 1 months ago
Improving the Space-Bounded Version of Muchnik's Conditional Complexity Theorem via "Naive" Derandomization
Abstract. Many theorems about Kolmogorov complexity rely on existence of combinatorial objects with specific properties. Usually the probabilistic method gives such objects with b...
Daniil Musatov
IJHPCA
2006
125views more  IJHPCA 2006»
13 years 10 months ago
Complexity Results for Collective Communications on Heterogeneous Platforms
In this paper, we consider the communications involved in the execution of a complex application, deployed on a heterogeneous platform. Such applications extensively use macro-com...
Olivier Beaumont, Loris Marchal, Yves Robert