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» Unconstrained Parametric Minimization of a Polynomial: Appro...
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JMLR
2006
150views more  JMLR 2006»
13 years 11 months ago
Exact 1-Norm Support Vector Machines Via Unconstrained Convex Differentiable Minimization
Support vector machines utilizing the 1-norm, typically set up as linear programs (Mangasarian, 2000; Bradley and Mangasarian, 1998), are formulated here as a completely unconstra...
Olvi L. Mangasarian
MP
2002
176views more  MP 2002»
13 years 10 months ago
UOBYQA: unconstrained optimization by quadratic approximation
UOBYQA is a new algorithm for general unconstrained optimization calculations, that takes account of the curvature of the objective function, F say, by forming quadratic models by ...
M. J. D. Powell
TCS
2008
13 years 11 months ago
Approximate GCDs of polynomials and sparse SOS relaxations
The problem of computing approximate GCDs of several polynomials with real or complex coefficients can be formulated as computing the minimal perturbation such that the perturbed ...
Bin Li, Jiawang Nie, Lihong Zhi
ISSAC
2007
Springer
153views Mathematics» more  ISSAC 2007»
14 years 5 months ago
On exact and approximate interpolation of sparse rational functions
The black box algorithm for separating the numerator from the denominator of a multivariate rational function can be combined with sparse multivariate polynomial interpolation alg...
Erich Kaltofen, Zhengfeng Yang