R. Oeuvray and M. Bierlaire (Switzerland)
Optimization, derivative-free optimization, radial basis functions, medical image registration problem.
Derivative-free optimization involves all the methods used to minimize an objective function when its derivatives are not available and when the function is expensive. We present here a trust region algorithm based on radial basis functions instead of the classical second order polynomi als. Actually, our surrogate of the objective function is a mixed radial and polynomial model. We present results on the medical image registration problem. On the instances of this problem, our method surpasses all the tested state of-the-art derivative-free algorithms.
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