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INFORMATICALT
2010
49views more  INFORMATICALT 2010»
13 years 3 months ago
Interval Arithmetic Based Optimization in Nonlinear Regression
The optimization problems occurring in nonlinear regression normally cannot be proven unimodal. In the present paper applicability of global optimization algorithms to this problem...
Antanas Zilinskas, Julius Zilinskas
GECCO
2010
Springer
169views Optimization» more  GECCO 2010»
13 years 8 months ago
Robust symbolic regression with affine arithmetic
We use affine arithmetic to improve both the performance and the robustness of genetic programming for symbolic regression. During evolution, we use affine arithmetic to analyze e...
Cassio Pennachin, Moshe Looks, João A. de V...
COMPUTING
2006
102views more  COMPUTING 2006»
13 years 4 months ago
A Reliable Area Reduction Technique for Solving Circle Packing Problems
Abstract We are dealing with the optimal, i.e. densest packings of congruent circles into the unit square. In the recent years we have built a numerically reliable, verified method...
Mihály Csaba Markót, Tibor Csendes
NN
2000
Springer
165views Neural Networks» more  NN 2000»
13 years 4 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
JLP
2006
92views more  JLP 2006»
13 years 4 months ago
Exact real arithmetic using centred intervals and bounded error terms
Approximations based on dyadic centred intervals are investigated as a means for implementing exact real arithmetic. It is shown that the field operations can be implemented on th...
Jens Blanck