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CSJM
2008
126views more  CSJM 2008»
13 years 7 months ago
Private Key Extension of Polly Cracker Cryptosystems
In 1993 Koblitz and Fellows proposed a public key cryptosystem, Polly Cracker, based on the problem of solving multivariate systems of polynomial equations, which was soon general...
Nina Taslaman
COMBINATORICS
2000
142views more  COMBINATORICS 2000»
13 years 7 months ago
Harmonic Functions on Multiplicative Graphs and Interpolation Polynomials
We construct examples of nonnegative harmonic functions on certain graded graphs: the Young lattice and its generalizations. Such functions first emerged in harmonic analysis on th...
Alexei Borodin, Grigori Olshanski
TNN
2008
112views more  TNN 2008»
13 years 7 months ago
Multilayer Perceptrons: Approximation Order and Necessary Number of Hidden Units
Abstract--This paper considers the approximation of sufficiently smooth multivariable functions with a multilayer perceptron (MLP). For a given approximation order explicit formula...
S. Trenn
MOC
2000
137views more  MOC 2000»
13 years 7 months ago
The apolar bilinear form in geometric modeling
Some recent methods of Computer Aided Geometric Design are related to the apolar bilinear form, an inner product on the space of homogeneous multivariate polynomials of a fixed deg...
Gert Vegter
COCO
2008
Springer
100views Algorithms» more  COCO 2008»
13 years 9 months ago
Detecting Rational Points on Hypersurfaces over Finite Fields
We study the complexity of deciding whether a given homogeneous multivariate polynomial has a nontrivial root over a finite field. Given a homogeneous algebraic circuit C that com...
Swastik Kopparty, Sergey Yekhanin