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» A multivariate interlace polynomial
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ISSAC
2004
Springer
135views Mathematics» more  ISSAC 2004»
14 years 29 days ago
The truncated fourier transform and applications
In this paper, we present a truncated version of the classical Fast Fourier Transform. When applied to polynomial multiplication, this algorithm has the nice property of eliminati...
Joris van der Hoeven
STACS
2009
Springer
14 years 4 days ago
Almost-Uniform Sampling of Points on High-Dimensional Algebraic Varieties
We consider the problem of uniform sampling of points on an algebraic variety. Specifically, we develop a randomized algorithm that, given a small set of multivariate polynomials ...
Mahdi Cheraghchi, Amin Shokrollahi
IWPEC
2010
Springer
13 years 5 months ago
Multivariate Complexity Analysis of Swap Bribery
We consider the computational complexity of a problem modeling bribery in the context of voting systems. In the scenario of Swap Bribery, each voter assigns a certain price for swa...
Britta Dorn, Ildikó Schlotter
JC
2008
90views more  JC 2008»
13 years 7 months ago
On the probability distribution of data at points in real complete intersection varieties
We show several estimates on the probability distribution of some data at points in real complete intersection varieties: norms of real affine solutions, condition number of real ...
Cruz E. Borges, Luis M. Pardo
ISSAC
2004
Springer
106views Mathematics» more  ISSAC 2004»
14 years 29 days ago
Factoring polynomials via polytopes
We introduce a new approach to multivariate polynomial factorisation which incorporates ideas from polyhedral geometry, and generalises Hensel lifting. Our main contribution is to...
Fatima Abu Salem, Shuhong Gao, Alan G. B. Lauder