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CASC
2006
Springer
123views Mathematics» more  CASC 2006»
13 years 9 months ago
On Decomposition of Tame Polynomials and Rational Functions
Abstract. In this paper we present algorithmic considerations and theoretical results about the relation between the orders of certain groups associated to the components of a poly...
Jaime Gutierrez, David Sevilla
ISSAC
2009
Springer
167views Mathematics» more  ISSAC 2009»
13 years 12 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
FOSSACS
2005
Springer
13 years 11 months ago
A Computational Model for Multi-variable Differential Calculus
Abstract. We introduce a domain-theoretic computational model for multivariable differential calculus, which for the first time gives rise to data types for differentiable functio...
Abbas Edalat, André Lieutier, Dirk Pattinso...
DIS
2001
Springer
13 years 10 months ago
Functional Trees
In the context of classification problems, algorithms that generate multivariate trees are able to explore multiple representation languages by using decision tests based on a com...
Joao Gama
TSMC
2002
112views more  TSMC 2002»
13 years 5 months ago
An efficient algorithm for automatically generating multivariable fuzzy systems by Fourier series method
By exploiting the Fourier series expansion, we have developed a new constructive method of automatically generating a multivariable fuzzy inference system from any given sample set...
Liang Chen, Naoyuki Tokuda