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» Computing Sparse Multiples of Polynomials
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BIRTHDAY
2009
Springer
14 years 2 months ago
Polynomial Precise Interval Analysis Revisited
We consider a class of arithmetic equations over the complete lattice of integers (extended with −∞ and ∞) and provide a polynomial time algorithm for computing least solutio...
Thomas Gawlitza, Jérôme Leroux, Jan R...
FOCS
1992
IEEE
13 years 11 months ago
Reconstructing Algebraic Functions from Mixed Data
We consider a variant of the traditional task of explicitly reconstructing algebraic functions from black box representations. In the traditional setting for such problems, one is ...
Sigal Ar, Richard J. Lipton, Ronitt Rubinfeld, Mad...
TCS
2008
13 years 7 months ago
Nondeterministic polynomial time factoring in the tile assembly model
Formalized study of self-assembly has led to the definition of the tile assembly model, Previously I presented ways to compute arithmetic functions, such as addition and multiplic...
Yuriy Brun
CORR
2010
Springer
179views Education» more  CORR 2010»
13 years 5 months ago
The DMM bound: multivariate (aggregate) separation bounds
In this paper we derive aggregate separation bounds, named after Davenport-MahlerMignotte (DMM), on the isolated roots of polynomial systems, specifically on the minimum distance ...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...
IJCNN
2008
IEEE
14 years 2 months ago
Sparse kernel density estimator using orthogonal regression based on D-Optimality experimental design
— A novel sparse kernel density estimator is derived based on a regression approach, which selects a very small subset of significant kernels by means of the D-optimality experi...
Sheng Chen, Xia Hong, Chris J. Harris