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» Multivariates Polynomials for Hashing
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JC
2011
87views more  JC 2011»
14 years 9 months ago
Lower bounds for the complexity of linear functionals in the randomized setting
Abstract. Hinrichs [3] recently studied multivariate integration defined over reproducing kernel Hilbert spaces in the randomized setting and for the normalized error criterion. I...
Erich Novak, Henryk Wozniakowski
122
Voted
IMA
2009
Springer
111views Cryptology» more  IMA 2009»
15 years 9 months ago
Geometric Ideas for Cryptographic Equation Solving in Even Characteristic
Abstract. The GeometricXL algorithm is a geometrically invariant version of the XL algorithm that uses polynomials of a much smaller degree than either a standard Groebner basis al...
Sean Murphy, Maura B. Paterson
119
Voted
IJCNN
2007
IEEE
15 years 9 months ago
Upper Bound on Pattern Storage in Feedforward Networks
—Starting from the strict interpolation equations for multivariate polynomials, an upper bound is developed for the number of patterns that can be memorized by a nonlinear feedfo...
Pramod Lakshmi Narasimha, Michael T. Manry, Franci...
AISC
2008
Springer
15 years 4 months ago
Parametric Linear Arithmetic over Ordered Fields in Isabelle/HOL
We use higher-order logic to verify a quantifier elimination procedure for linear arithmetic over ordered fields, where the coefficients of variables are multivariate polynomials o...
Amine Chaieb
121
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AUTOMATICA
2006
106views more  AUTOMATICA 2006»
15 years 2 months ago
Barrier certificates for nonlinear model validation
Abstract-- New methods for model validation of continuoustime nonlinear systems with uncertain parameters are presented in this paper. The methods employ functions of state-paramet...
Stephen Prajna