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» An algebraic generalization of Kripke structures
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JSC
2008
162views more  JSC 2008»
13 years 7 months ago
Approximate factorization of multivariate polynomials using singular value decomposition
We describe the design, implementation and experimental evaluation of new algorithms for computing the approximate factorization of multivariate polynomials with complex coefficie...
Erich Kaltofen, John P. May, Zhengfeng Yang, Lihon...
ALGORITHMICA
2002
121views more  ALGORITHMICA 2002»
13 years 7 months ago
Sharp Quantum versus Classical Query Complexity Separations
We obtain the strongest separation between quantum and classical query complexity known to date--specifically, we define a black-box problem that requires exponentially many querie...
J. Niel de Beaudrap, Richard Cleve, John Watrous
CORR
2004
Springer
111views Education» more  CORR 2004»
13 years 7 months ago
Maximum-likelihood decoding of Reed-Solomon Codes is NP-hard
Maximum-likelihood decoding is one of the central algorithmic problems in coding theory. It has been known for over 25 years that maximum-likelihood decoding of general linear cod...
Venkatesan Guruswami, Alexander Vardy
COMPGEOM
2011
ACM
12 years 11 months ago
Zigzag persistent homology in matrix multiplication time
We present a new algorithm for computing zigzag persistent homology, an algebraic structure which encodes changes to homology groups of a simplicial complex over a sequence of sim...
Nikola Milosavljevic, Dmitriy Morozov, Primoz Skra...
ICALP
2010
Springer
14 years 13 days ago
A Topological Approach to Recognition
We propose a new approach to the notion of recognition, which departs from the classical definitions by three specific features. First, it does not rely on automata. Secondly, it...
Mai Gehrke, Serge Grigorieff, Jean-Eric Pin