Optimizing radial basis functions by d.c. programming and its use in direct search for global derivative-free optimization
In this paper, we address the global optimization of functions subject to bound and linear constraints without using derivatives of the objective function. We investigate the use of derivative-free models based on radial basis functions (RBFs) in the search step of direct-search methods of direction...
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| Published in | TOP Vol. 20; no. 1; pp. 190 - 214 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer-Verlag
01.04.2012
Springer Springer Verlag |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1134-5764 1863-8279 |
| DOI | 10.1007/s11750-011-0193-9 |
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| Abstract | In this paper, we address the global optimization of functions subject to bound and linear constraints without using derivatives of the objective function. We investigate the use of derivative-free models based on radial basis functions (RBFs) in the search step of direct-search methods of directional type. We also study the application of algorithms based on difference of convex (d.c.) functions programming to solve the resulting subproblems which consist of the minimization of the RBF models subject to simple bounds on the variables. Extensive numerical results are reported with a test set of bound and linearly constrained problems. |
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| AbstractList | In this paper, we address the global optimization of functions subject to bound and linear constraints without using derivatives of the objective function. We investigate the use of derivative-free models based on radial basis functions (RBFs) in the search step of direct-search methods of directional type. We also study the application of algorithms based on difference of convex (d.c.) functions programming to solve the resulting subproblems which consist of the minimization of the RBF models subject to simple bounds on the variables. Extensive numerical results are reported with a test set of bound and linearly constrained problems. |
| Author | Le Thi, H. A. Vaz, A. I. F. Vicente, L. N. |
| Author_xml | – sequence: 1 givenname: H. A. surname: Le Thi fullname: Le Thi, H. A. organization: Laboratory of Theoretical and Applied Computer Science (LITA EA 3097), Paul Verlaine University – sequence: 2 givenname: A. I. F. surname: Vaz fullname: Vaz, A. I. F. email: aivaz@dps.uminho.pt organization: Department of Production and Systems, University of Minho – sequence: 3 givenname: L. N. surname: Vicente fullname: Vicente, L. N. organization: CMUC, Department of Mathematics, University of Coimbra |
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| CitedBy_id | crossref_primary_10_1007_s10898_017_0574_1 crossref_primary_10_1080_10556788_2016_1226305 crossref_primary_10_1007_s10898_018_0643_0 crossref_primary_10_1016_j_ejor_2015_12_018 crossref_primary_10_1007_s10957_024_02596_y crossref_primary_10_1007_s10107_018_1235_y crossref_primary_10_1007_s10589_022_00381_z crossref_primary_10_1007_s10589_023_00491_2 crossref_primary_10_1093_mnras_stw2099 |
| Cites_doi | 10.1007/s101070100263 10.1007/s10898-007-9133-5 10.1023/A:1011584207202 10.1080/10556780903039893 10.1016/j.ejor.2006.08.040 10.1080/10556780008805783 10.1137/S1052623494274313 10.1287/ijoc.1060.0182 10.1023/A:1013596313166 10.1007/s10898-004-0570-0 10.1007/s10479-004-5022-1 10.1007/BF00941892 10.1007/s10898-006-9040-1 10.1023/A:1021931422223 10.1007/s10898-004-9972-2 10.1287/mnsc.36.5.519 10.1137/080724083 10.1080/10556780902909948 10.1016/0895-7177(92)90108-W 10.1137/1.9780898718768 10.1023/A:1011255519438 10.1080/10556780310001645189 10.1016/j.amc.2006.06.101 10.1109/4235.873238 10.1023/A:1021956306041 10.1137/070691814 10.1137/S003614450242889 10.1016/0969-6016(94)90022-1 10.1007/978-3-662-03315-9 10.1137/09074927X |
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| Keywords | Global optimization Radial basis functions DCA 90C30 90C56 d.c. programming Search step 90C26 Direct-search methods Derivative-free optimization |
| Language | English |
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| References | Moré, Wild (CR23) 2009; 20 Conn, Scheinberg, Vicente (CR6) 2009 Le Thi, Pham Dinh (CR3) 1998; 8 Michalewicz (CR21) 1996 CR15 Ali, Khompatraporn, Zabinsky (CR1) 2005; 31 Locatelli (CR18) 2003; 25 Regis, Shoemaker (CR31) 2007; 19 CR35 Regis, Shoemaker (CR30) 2007; 182 Vaz, Vicente (CR33) 2007; 39 Regis, Shoemaker (CR29) 2007; 37 Locatelli, Schoen (CR19) 2002; 21 Regis, Shoemaker (CR28) 2005; 31 Dolan, Moré (CR7) 2002; 91 Oeuvray, Bierlaire (CR25) 2009; 29 Wild, Regis, Shoemaker (CR36) 2008; 30 Fourer, Gay, Kernighan (CR8) 1990; 36 Michalewicz (CR20) 1994; 1 Le Thi, Pham Dinh (CR2) 1997; 22 Ji, Zhang, Qu (CR13) 2006; 185 Griffin, Kolda (CR9) 2010; 25 Hedar, Fukushima (CR11) 2004; 19 CR24 Ingber, Rosen (CR12) 1992; 16 Vaz, Vicente (CR34) 2009; 24 Björkman, Holmström (CR5) 2000; 1 Kolda, Lewis, Torczon (CR17) 2003; 45 Gutmann (CR10) 2001; 19 Jones, Perttunen, Stuckman (CR14) 1993; 79 Runarsson, Yao (CR32) 2000; 4 Le Thi, Pham Dinh (CR4) 2005; 133 Kiseleva, Stepanchuk (CR16) 2003; 25 Pham Dinh, Elbernoussi (CR27) 1988 Mongeau, Karsenty, Rouzé, Hiriart-Urruty (CR22) 2000; 13 Parsopoulos, Plagianakos, Magoulas, Vrahatis (CR26) 2001 D Jones (193_CR14) 1993; 79 Y Ji (193_CR13) 2006; 185 AIF Vaz (193_CR34) 2009; 24 JD Griffin (193_CR9) 2010; 25 RG Regis (193_CR29) 2007; 37 RG Regis (193_CR28) 2005; 31 KE Parsopoulos (193_CR26) 2001 TG Kolda (193_CR17) 2003; 45 H-M Gutmann (193_CR10) 2001; 19 L Ingber (193_CR12) 1992; 16 HA Le Thi (193_CR4) 2005; 133 193_CR24 Z Michalewicz (193_CR21) 1996 R Fourer (193_CR8) 1990; 36 M Björkman (193_CR5) 2000; 1 HA Le Thi (193_CR3) 1998; 8 MM Ali (193_CR1) 2005; 31 AIF Vaz (193_CR33) 2007; 39 JJ Moré (193_CR23) 2009; 20 ED Dolan (193_CR7) 2002; 91 M Locatelli (193_CR19) 2002; 21 R Oeuvray (193_CR25) 2009; 29 T Pham Dinh (193_CR27) 1988 AR Conn (193_CR6) 2009 TP Runarsson (193_CR32) 2000; 4 M Mongeau (193_CR22) 2000; 13 A-R Hedar (193_CR11) 2004; 19 RG Regis (193_CR30) 2007; 182 HA Le Thi (193_CR2) 1997; 22 M Locatelli (193_CR18) 2003; 25 Z Michalewicz (193_CR20) 1994; 1 193_CR15 E Kiseleva (193_CR16) 2003; 25 193_CR35 RG Regis (193_CR31) 2007; 19 SM Wild (193_CR36) 2008; 30 |
| References_xml | – volume: 91 start-page: 201 year: 2002 end-page: 213 ident: CR7 article-title: Benchmarking optimization software with performance profiles publication-title: Math Program doi: 10.1007/s101070100263 – volume: 29 start-page: 4634 year: 2009 end-page: 4636 ident: CR25 article-title: BOOSTERS: a derivative-free algorithm based on radial basis functions publication-title: Int J Model Simul – volume: 39 start-page: 197 year: 2007 end-page: 219 ident: CR33 article-title: A particle swarm pattern search method for bound constrained global optimization publication-title: J Glob Optim doi: 10.1007/s10898-007-9133-5 – volume: 1 start-page: 373 year: 2000 end-page: 397 ident: CR5 article-title: Global optimization of costly nonconvex functions using radial basis functions publication-title: Optim Eng doi: 10.1023/A:1011584207202 – volume: 25 start-page: 797 year: 2010 end-page: 817 ident: CR9 article-title: Asynchronous parallel hybrid optimization combining DIRECT and GSS publication-title: Optim Methods Softw doi: 10.1080/10556780903039893 – volume: 182 start-page: 514 year: 2007 end-page: 535 ident: CR30 article-title: Parallel radial basis function methods for the global optimization of expensive functions publication-title: Eur J Oper Res doi: 10.1016/j.ejor.2006.08.040 – volume: 13 start-page: 203 year: 2000 end-page: 226 ident: CR22 article-title: Comparison of public-domain software for black box global optimization publication-title: Optim Methods Softw doi: 10.1080/10556780008805783 – volume: 8 start-page: 476 year: 1998 end-page: 505 ident: CR3 article-title: D.C. optimization algorithms for solving the trust-region subproblem publication-title: SIAM J Optim doi: 10.1137/S1052623494274313 – volume: 19 start-page: 497 year: 2007 end-page: 509 ident: CR31 article-title: A stochastic radial basis function method for the global optimization of expensive functions publication-title: INFORMS J Comput doi: 10.1287/ijoc.1060.0182 – volume: 21 start-page: 55 year: 2002 end-page: 70 ident: CR19 article-title: Fast global optimization of difficult Lennard–Jones clusters publication-title: Comput Optim Appl doi: 10.1023/A:1013596313166 – start-page: 22 year: 2001 end-page: 29 ident: CR26 article-title: Stretching technique for obtaining global minimizers through particle swarm optimization publication-title: Proc of the particle swarm optimization workshop – volume: 31 start-page: 153 year: 2005 end-page: 171 ident: CR28 article-title: Constrained global optimization of expensive black box functions using radial basis functions publication-title: J Glob Optim doi: 10.1007/s10898-004-0570-0 – ident: CR35 – volume: 133 start-page: 23 year: 2005 end-page: 46 ident: CR4 article-title: The DC (difference of convex functions) programming and DCA revisited with DC models of real world nonconvex optimization problems publication-title: Ann Oper Res doi: 10.1007/s10479-004-5022-1 – volume: 79 start-page: 157 year: 1993 end-page: 181 ident: CR14 article-title: Lipschitzian optimization without the Lipschitz constant publication-title: J Optim Theory Appl doi: 10.1007/BF00941892 – volume: 37 start-page: 113 year: 2007 end-page: 135 ident: CR29 article-title: Improved strategies for radial basis function methods for global optimization publication-title: J Glob Optim doi: 10.1007/s10898-006-9040-1 – volume: 25 start-page: 209 year: 2003 end-page: 235 ident: CR16 article-title: On the efficiency of a global non-differentiable optimization algorithm based on the method of optimal set partitioning publication-title: J Glob Optim doi: 10.1023/A:1021931422223 – volume: 31 start-page: 635 year: 2005 end-page: 672 ident: CR1 article-title: A numerical evaluation of several stochastic algorithms on selected continuous global optimization test problems publication-title: J Glob Optim doi: 10.1007/s10898-004-9972-2 – volume: 36 start-page: 519 year: 1990 end-page: 554 ident: CR8 article-title: A modeling language for mathematical programming publication-title: Manag Sci doi: 10.1287/mnsc.36.5.519 – volume: 20 start-page: 172 year: 2009 end-page: 191 ident: CR23 article-title: Benchmarking derivative-free optimization algorithms publication-title: SIAM J Optim doi: 10.1137/080724083 – year: 1996 ident: CR21 publication-title: Genetic algorithms + data structures = evolution programs – volume: 24 start-page: 669 year: 2009 end-page: 685 ident: CR34 article-title: Pswarm: a hybrid solver for linearly constrained global derivative-free optimization publication-title: Optim Methods Softw doi: 10.1080/10556780902909948 – volume: 16 start-page: 87 year: 1992 end-page: 100 ident: CR12 article-title: Genetic algorithms and very fast simulated reannealing: a comparison publication-title: Math Comput Model doi: 10.1016/0895-7177(92)90108-W – year: 2009 ident: CR6 publication-title: Introduction to derivative-free optimization doi: 10.1137/1.9780898718768 – start-page: 276 year: 1988 end-page: 294 ident: CR27 article-title: Duality in d.c. (difference of convex functions) optimization publication-title: Subgradient methods – volume: 19 start-page: 201 year: 2001 end-page: 227 ident: CR10 article-title: A radial basis function method for global optimization publication-title: J Glob Optim doi: 10.1023/A:1011255519438 – volume: 19 start-page: 291 year: 2004 end-page: 308 ident: CR11 article-title: Heuristic pattern search and its hybridization with simulated annealing for nonlinear global optimization publication-title: Optim Methods Softw doi: 10.1080/10556780310001645189 – volume: 185 start-page: 382 year: 2006 end-page: 387 ident: CR13 article-title: A deterministic global optimization algorithm publication-title: Appl Math Comput doi: 10.1016/j.amc.2006.06.101 – ident: CR15 – volume: 4 start-page: 284 year: 2000 end-page: 294 ident: CR32 article-title: Stochastic ranking for constrained evolutionary optimization publication-title: IEEE Trans Evol Comput doi: 10.1109/4235.873238 – volume: 25 start-page: 169 year: 2003 end-page: 174 ident: CR18 article-title: A note on the Griewank test function publication-title: J Glob Optim doi: 10.1023/A:1021956306041 – volume: 22 start-page: 289 year: 1997 end-page: 355 ident: CR2 article-title: Convex analysis approach to d.c. programming: theory, algorithms and applications publication-title: Acta Math Vietnam – volume: 30 start-page: 3197 year: 2008 end-page: 3219 ident: CR36 article-title: ORBIT: optimization by radial basis function interpolation in trust-regions publication-title: SIAM J Sci Comput doi: 10.1137/070691814 – volume: 45 start-page: 385 year: 2003 end-page: 482 ident: CR17 article-title: Optimization by direct search: new perspectives on some classical and modern methods publication-title: SIAM Rev doi: 10.1137/S003614450242889 – volume: 1 start-page: 223 year: 1994 end-page: 240 ident: CR20 article-title: Evolutionary computation techniques for nonlinear programming problems publication-title: Int Trans Oper Res doi: 10.1016/0969-6016(94)90022-1 – ident: CR24 – start-page: 22 volume-title: Proc of the particle swarm optimization workshop year: 2001 ident: 193_CR26 – volume: 25 start-page: 169 year: 2003 ident: 193_CR18 publication-title: J Glob Optim doi: 10.1023/A:1021956306041 – volume: 19 start-page: 497 year: 2007 ident: 193_CR31 publication-title: INFORMS J Comput doi: 10.1287/ijoc.1060.0182 – volume: 37 start-page: 113 year: 2007 ident: 193_CR29 publication-title: J Glob Optim doi: 10.1007/s10898-006-9040-1 – volume: 182 start-page: 514 year: 2007 ident: 193_CR30 publication-title: Eur J Oper Res doi: 10.1016/j.ejor.2006.08.040 – volume: 20 start-page: 172 year: 2009 ident: 193_CR23 publication-title: SIAM J Optim doi: 10.1137/080724083 – volume: 4 start-page: 284 year: 2000 ident: 193_CR32 publication-title: IEEE Trans Evol Comput doi: 10.1109/4235.873238 – volume: 31 start-page: 635 year: 2005 ident: 193_CR1 publication-title: J Glob Optim doi: 10.1007/s10898-004-9972-2 – volume: 29 start-page: 4634 year: 2009 ident: 193_CR25 publication-title: Int J Model Simul – volume: 91 start-page: 201 year: 2002 ident: 193_CR7 publication-title: Math Program doi: 10.1007/s101070100263 – volume: 25 start-page: 797 year: 2010 ident: 193_CR9 publication-title: Optim Methods Softw doi: 10.1080/10556780903039893 – volume: 19 start-page: 291 year: 2004 ident: 193_CR11 publication-title: Optim Methods Softw doi: 10.1080/10556780310001645189 – volume: 1 start-page: 223 year: 1994 ident: 193_CR20 publication-title: Int Trans Oper Res doi: 10.1016/0969-6016(94)90022-1 – ident: 193_CR24 – ident: 193_CR15 – volume: 31 start-page: 153 year: 2005 ident: 193_CR28 publication-title: J Glob Optim doi: 10.1007/s10898-004-0570-0 – volume-title: Genetic algorithms + data structures = evolution programs year: 1996 ident: 193_CR21 doi: 10.1007/978-3-662-03315-9 – volume: 1 start-page: 373 year: 2000 ident: 193_CR5 publication-title: Optim Eng doi: 10.1023/A:1011584207202 – volume: 22 start-page: 289 year: 1997 ident: 193_CR2 publication-title: Acta Math Vietnam – volume: 19 start-page: 201 year: 2001 ident: 193_CR10 publication-title: J Glob Optim doi: 10.1023/A:1011255519438 – volume: 24 start-page: 669 year: 2009 ident: 193_CR34 publication-title: Optim Methods Softw doi: 10.1080/10556780902909948 – volume: 133 start-page: 23 year: 2005 ident: 193_CR4 publication-title: Ann Oper Res doi: 10.1007/s10479-004-5022-1 – volume: 13 start-page: 203 year: 2000 ident: 193_CR22 publication-title: Optim Methods Softw doi: 10.1080/10556780008805783 – volume: 79 start-page: 157 year: 1993 ident: 193_CR14 publication-title: J Optim Theory Appl doi: 10.1007/BF00941892 – volume: 36 start-page: 519 year: 1990 ident: 193_CR8 publication-title: Manag Sci doi: 10.1287/mnsc.36.5.519 – volume: 45 start-page: 385 year: 2003 ident: 193_CR17 publication-title: SIAM Rev doi: 10.1137/S003614450242889 – volume: 16 start-page: 87 year: 1992 ident: 193_CR12 publication-title: Math Comput Model doi: 10.1016/0895-7177(92)90108-W – volume: 185 start-page: 382 year: 2006 ident: 193_CR13 publication-title: Appl Math Comput doi: 10.1016/j.amc.2006.06.101 – volume-title: Introduction to derivative-free optimization year: 2009 ident: 193_CR6 doi: 10.1137/1.9780898718768 – volume: 8 start-page: 476 year: 1998 ident: 193_CR3 publication-title: SIAM J Optim doi: 10.1137/S1052623494274313 – volume: 39 start-page: 197 year: 2007 ident: 193_CR33 publication-title: J Glob Optim doi: 10.1007/s10898-007-9133-5 – start-page: 276 volume-title: Subgradient methods year: 1988 ident: 193_CR27 – volume: 30 start-page: 3197 year: 2008 ident: 193_CR36 publication-title: SIAM J Sci Comput doi: 10.1137/070691814 – volume: 21 start-page: 55 year: 2002 ident: 193_CR19 publication-title: Comput Optim Appl doi: 10.1023/A:1013596313166 – ident: 193_CR35 doi: 10.1137/09074927X – volume: 25 start-page: 209 year: 2003 ident: 193_CR16 publication-title: J Glob Optim doi: 10.1023/A:1021931422223 |
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| Title | Optimizing radial basis functions by d.c. programming and its use in direct search for global derivative-free optimization |
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