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CORR
2008
Springer
92views Education» more  CORR 2008»
13 years 5 months ago
On sign conditions over real multivariate polynomials
We present a new probabilistic algorithm to find a finite set of points intersecting the closure of each connected component of the realization of every sign condition over a fami...
Gabriela Jeronimo, Daniel Perrucci, Juan Sabia
ACNS
2010
Springer
134views Cryptology» more  ACNS 2010»
13 years 6 months ago
Efficient and Secure Evaluation of Multivariate Polynomials and Applications
In this work, we design two-party and multiparty protocols for evaluating multivariate polynomials at participants' inputs with security against a malicious adversary who may ...
Matthew K. Franklin, Payman Mohassel
COMBINATORICA
2000
157views more  COMBINATORICA 2000»
13 years 5 months ago
Concentration of Multivariate Polynomials and Its Applications
Suppose t1, ..., tn are independent random variables which take value either 0 or 1, and Y is a multi-variable polynomial in ti's with positive coefficients. We give a conditi...
Jeong Han Kim, Van H. Vu
MKM
2009
Springer
13 years 11 months ago
Algorithms for the Functional Decomposition of Laurent Polynomials
Abstract. Recent work has detailed the conditions under which univariate Laurent polynomials have functional decompositions. This paper presents algorithms to compute such univaria...
Stephen M. Watt