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摘要
In the paper, to solve the global optimization problems, we propose a novel parameter-free filled function. Based on the non-parameter filled function, a new filled function algorithm is designed. In the algorithm, the selection and adjustment of parameters can be ignored by the characteristic that the filled function is parameter-free. In addition, in the region lower than the current local minimizer of the objective function, the filled function is continuously differentiable which enables any gradient descent method to be used as a local search method in the algorithm. Through numerical experiments by solving two test problems, the effectiveness of the algorithm is verified.
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