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JSC
2008
162views more  JSC 2008»
13 years 7 months ago
Approximate factorization of multivariate polynomials using singular value decomposition
We describe the design, implementation and experimental evaluation of new algorithms for computing the approximate factorization of multivariate polynomials with complex coefficie...
Erich Kaltofen, John P. May, Zhengfeng Yang, Lihon...
JC
2000
138views more  JC 2000»
13 years 6 months ago
Multivariate Polynomials, Duality, and Structured Matrices
We rst review thebasic properties of the well knownclasses of Toeplitz, Hankel, Vandermonde, and other related structured matrices and reexamine their correlation to operations wi...
Bernard Mourrain, Victor Y. Pan
ICML
2005
IEEE
14 years 7 months ago
A support vector method for multivariate performance measures
This paper presents a Support Vector Method for optimizing multivariate nonlinear performance measures like the F1score. Taking a multivariate prediction approach, we give an algo...
Thorsten Joachims
MKM
2009
Springer
14 years 1 months ago
Algorithms for the Functional Decomposition of Laurent Polynomials
Abstract. Recent work has detailed the conditions under which univariate Laurent polynomials have functional decompositions. This paper presents algorithms to compute such univaria...
Stephen M. Watt
ADCM
2004
93views more  ADCM 2004»
13 years 6 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