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ISSAC
2009
Springer
167views Mathematics» more  ISSAC 2009»
13 years 11 months ago
High order derivatives and decomposition of multivariate polynomials
In this paper, we present an improved method for decomposing multivariate polynomials. This problem, also known as the Functional Decomposition Problem (FDP) [17, 9, 27], is class...
Jean-Charles Faugère, Ludovic Perret
ADCM
2004
93views more  ADCM 2004»
13 years 4 months ago
Multivariate Refinable Functions of High Approximation Order Via Quotient Ideals of Laurent Polynomials
We give an algebraic interpretation of the well
H. Michael Möller, Tomas Sauer
CORR
2010
Springer
99views Education» more  CORR 2010»
13 years 4 months ago
On Functional Decomposition of Multivariate Polynomials with Differentiation and Homogenization
In this paper, we give a theoretical analysis for the algorithms to compute functional decomposition for multivariate polynomials based on differentiation and homogenization which ...
Shang-Wei Zhao, Ruyong Feng, Xiao-Shan Gao
TNN
2008
112views more  TNN 2008»
13 years 4 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
PKC
2007
Springer
109views Cryptology» more  PKC 2007»
13 years 11 months ago
High Order Linearization Equation (HOLE) Attack on Multivariate Public Key Cryptosystems
Abstract. In the CT-track of the 2006 RSA conference, a new multivariate public key cryptosystem, which is called the Medium Field Equation (MFE) multivariate public key cryptosyst...
Jintai Ding, Lei Hu, Xuyun Nie, Jianyu Li, John Wa...