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» Univariate and Multivariate Merit Factors
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SETA
2004
Springer
81views Mathematics» more  SETA 2004»
13 years 10 months ago
Univariate and Multivariate Merit Factors
Abstract. Merit factor of a binary sequence is reviewed, and constructions are described that appear to satisfy an asymptotic merit factor of 6.3421 . . . Multivariate merit factor...
Matthew G. Parker
BMCBI
2006
122views more  BMCBI 2006»
13 years 4 months ago
A comparison of univariate and multivariate gene selection techniques for classification of cancer datasets
Background: Gene selection is an important step when building predictors of disease state based on gene expression data. Gene selection generally improves performance and identifi...
Carmen Lai, Marcel J. T. Reinders, Laura J. van't ...
JAT
2006
73views more  JAT 2006»
13 years 4 months ago
Factorization of multivariate positive Laurent polynomials
Abstract. Recently M. Dritschel proved that any positive multivariate Laurent polynomial can be factorized into a sum of square magnitudes of polynomials. We first give another pro...
Jeffrey S. Geronimo, Ming-Jun Lai
CORR
2006
Springer
117views Education» more  CORR 2006»
13 years 4 months ago
Explicit factors of some iterated resultants and discriminants
In this paper, the result of applying iterative univariate resultant constructions to multivariate polynomials is analyzed. We consider the input polynomials as generic polynomials...
Laurent Busé, Bernard Mourrain
CASC
2005
Springer
202views Mathematics» more  CASC 2005»
13 years 10 months ago
Cayley-Dixon Resultant Matrices of Multi-univariate Composed Polynomials
The behavior of the Cayley-Dixon resultant construction and the structure of Dixon matrices are analyzed for composed polynomial systems constructed from a multivariate system in w...
Arthur D. Chtcherba, Deepak Kapur, Manfred Minimai...