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» A Computational Journey into Nonlinearity
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CDC
2009
IEEE
185views Control Systems» more  CDC 2009»
15 years 2 months ago
Discrete Empirical Interpolation for nonlinear model reduction
A dimension reduction method called Discrete Empirical Interpolation (DEIM) is proposed and shown to dramatically reduce the computational complexity of the popular Proper Orthogo...
Saifon Chaturantabut, Danny C. Sorensen
NECO
1998
151views more  NECO 1998»
14 years 9 months ago
Nonlinear Component Analysis as a Kernel Eigenvalue Problem
We describe a new method for performing a nonlinear form of Principal Component Analysis. By the use of integral operator kernel functions, we can e ciently compute principal comp...
Bernhard Schölkopf, Alex J. Smola, Klaus-Robe...
GECCO
2005
Springer
142views Optimization» more  GECCO 2005»
15 years 3 months ago
Genetic programming: parametric analysis of structure altering mutation techniques
We hypothesize that the relationship between parameter settings, speci cally parameters controlling mutation, and performance is non-linear in genetic programs. Genetic programmin...
Alan Piszcz, Terence Soule
INFORMATICALT
2006
129views more  INFORMATICALT 2006»
14 years 10 months ago
On the Identification of Hammerstein Systems Having Saturation-like Functions with Positive Slopes
Abstract. The aim of the given paper is the development of an approach for parametric identification of Hammerstein systems with piecewise linear nonlinearities, i.e., when the sat...
Rimantas Pupeikis
NN
2000
Springer
165views Neural Networks» more  NN 2000»
14 years 9 months ago
Construction of confidence intervals for neural networks based on least squares estimation
We present the theoretical results about the construction of confidence intervals for a nonlinear regression based on least squares estimation and using the linear Taylor expansio...
Isabelle Rivals, Léon Personnaz