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CORR
2010
Springer
114views Education» more  CORR 2010»
13 years 7 months ago
Settling the Polynomial Learnability of Mixtures of Gaussians
Given data drawn from a mixture of multivariate Gaussians, a basic problem is to accurately estimate the mixture parameters. We give an algorithm for this problem that has running ...
Ankur Moitra, Gregory Valiant
EUROCRYPT
2003
Springer
14 years 25 days ago
Algebraic Attacks on Stream Ciphers with Linear Feedback
A classical construction of stream ciphers is to combine several LFSRs and a highly non-linear Boolean function f. Their security is usually analysed in terms of correlation attack...
Nicolas Courtois, Willi Meier
JC
2011
87views more  JC 2011»
13 years 2 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
IMA
2009
Springer
111views Cryptology» more  IMA 2009»
14 years 2 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
IJCNN
2007
IEEE
14 years 1 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...