A one-parameter filled function for nonsmooth global optimization and its application |
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| Authors: | Ying Zhang Liansheng Zhang Yingtao Xu |
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| Institution: | (1) School of Mathematics and Computer Science, Chongqing Normal University, Chongqing, 400047, China;(2) Department of Applied Mathematics, The Hong Kong Polytechnic University, Kongloon, Hong Kong, China;(3) Department of Mathematics, Shanghai University, Shanghai, 200444, China;(4) Present address: School of Information Technology and Mathematical Sciences, University of Ballarat, Ballarat, VIC, 3353, Australia |
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| Abstract: | This paper presents a modified definition of the filled function for finding a global minimizer of a nonsmooth function on
a closed bounded set, and then give a one-parameter filled function. Theoretical and numerical properties of the proposed
filled function are investigated and a corresponding solution algorithm is proposed. The proposed filled function’s parameter
is easier to be appropriately chosen than previous functions in literatures. Numerical results obtained indicate the efficiency
of the proposed filled function method. An improved fingerprint recognition method using global filled function is also reported. |
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