Dimensional reduction in constrained global optimization on smooth manifolds
[Display omitted] •Approach to reduce the dimension of search domains in constrained global optimization on smooth manifolds.•More equality constraints=>more dimensional reduction.•Mappings under optimization do not need to be differentiable or even continuous.•Optimization task is executed while...
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| Published in | Information sciences Vol. 299; pp. 243 - 261 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
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Elsevier Inc
01.04.2015
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| Abstract | [Display omitted]
•Approach to reduce the dimension of search domains in constrained global optimization on smooth manifolds.•More equality constraints=>more dimensional reduction.•Mappings under optimization do not need to be differentiable or even continuous.•Optimization task is executed while keeping candidate points/populations within feasible submanifolds.•The proposed paradigm may be employed jointly with an extensive family of already established metaheuristics.
This work introduces an approach aimed at reducing the dimension of search domains in constrained global optimization of real valued functions defined on smooth manifolds, and subject (also and mainly) to equality constraints. The functions expressing the cited constraints must satisfy certain smoothness conditions, and other types of restrictions are simultaneously possible, but the effect of dimensional reduction will be proportional to the number of equality constraints. The objective functions under study do not need to be differentiable or even continuous, and it is shown that the optimization task will be executed so that candidate points remain in the corresponding submanifolds, evolving there during the whole optimization process. The proposed paradigm may be employed jointly with an extensive family of already established metaheuristics. After introducing the fundamental ideas and establishing the theoretical basis, some examples will illustrate the effectiveness of the proposed method. |
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| AbstractList | This work introduces an approach aimed at reducing the dimension of search domains in constrained global optimization of real valued functions defined on smooth manifolds, and subject (also and mainly) to equality constraints. The functions expressing the cited constraints must satisfy certain smoothness conditions, and other types of restrictions are simultaneously possible, but the effect of dimensional reduction will be proportional to the number of equality constraints. The objective functions under study do not need to be differentiable or even continuous, and it is shown that the optimization task will be executed so that candidate points remain in the corresponding submanifolds, evolving there during the whole optimization process. The proposed paradigm may be employed jointly with an extensive family of already established metaheuristics. After introducing the fundamental ideas and establishing the theoretical basis, some examples will illustrate the effectiveness of the proposed method. [Display omitted] •Approach to reduce the dimension of search domains in constrained global optimization on smooth manifolds.•More equality constraints=>more dimensional reduction.•Mappings under optimization do not need to be differentiable or even continuous.•Optimization task is executed while keeping candidate points/populations within feasible submanifolds.•The proposed paradigm may be employed jointly with an extensive family of already established metaheuristics. This work introduces an approach aimed at reducing the dimension of search domains in constrained global optimization of real valued functions defined on smooth manifolds, and subject (also and mainly) to equality constraints. The functions expressing the cited constraints must satisfy certain smoothness conditions, and other types of restrictions are simultaneously possible, but the effect of dimensional reduction will be proportional to the number of equality constraints. The objective functions under study do not need to be differentiable or even continuous, and it is shown that the optimization task will be executed so that candidate points remain in the corresponding submanifolds, evolving there during the whole optimization process. The proposed paradigm may be employed jointly with an extensive family of already established metaheuristics. After introducing the fundamental ideas and establishing the theoretical basis, some examples will illustrate the effectiveness of the proposed method. |
| Author | Aguiar e O., Hime Petraglia, Antonio |
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| References | J. Lawson, Calculating Submanifold Charts, Lecture Notes, Department of Mathematics, Louisiana State University, Louisiana. Rubinstein, Kroese (b0160) 2004 J.J. Liang, T.P. Runarsson, E. Mezura-Montes, M. Clerc, P.N. Suganthan, C.A.C. Coello, K. Deb, Problem Definitions and Evaluation Criteria for the CEC 2006 Special Session on Constrained Real-Parameter Optimization, Technical Report, Nanyang Technological University, Singapore, 2005. Lee (b0085) 2013 Long (b0100) 2014; 15 Ongsakul, Vo (b0145) 2013 Price, Storn, Lampinen (b0155) 2005 Ahrari, Atai (b0015) 2010; 10 Helmke, Moore (b0045) 1994 T. Weise, Global Optimization Algorithms – Theory and Application. Ma, Fu (b0105) 2012 (accessed 24.07.13). Zhang, Cheng, Gheorghe, Meng (b0195) 2013; 13 Sadollah, Bahreininejad, Eskandar, Hamdi (b0165) 2013; 13 Chern, Shen (b0030) 2005 Kock (b0070) 2009 (accessed 11.03.13). J.J. Liang, P.N. Suganthan, Dynamic multi-swarm particle swarm optimizer with a novel constraint-handling mechanism, in: CEC 2006, Vancouver, 2006, pp. 9–16. Ingber (b0060) 1996; 25 Deb (b0040) 2000; 186 Oliveira, Petraglia (b0130) 2011; 11 S. Kukkonen, J. Lampinen, Constrained real-parameter optimization with generalized differential evolution, in: CEC 2006, Vancouver, 2006, pp. 207–214. S. Biswas, S. Kundu, S. Das, A.V. Vasilakos, Teaching and learning best differential evolution with self adaptation for real parameter optimization, in: 2013 IEEE Congress on Evolutionary Computation, CEC 2013, Vancouver, 2013, pp. 1115–1122. M. F. Tasgetiren, P. N. Suganthan, A multi-populated differential evolution algorithm for solving constrained optimization problem, CEC 2006, Vancouver, 2006, pp. 33–40. Absil, Mahony, Sepulchre (b0010) 2008 Tu (b0185) 2011 Abraham, Marsden, Ratiu (b0005) 1988 Ahrari, Shariat-Panahi, Atai (b0020) 2009; 210 Michalewicz, Nazhiyath, Michalewicz (b0115) 1996 Oliveira, Ingber, Petraglia, Petraglia, Machado (b0135) 2012 Zhang, Luo, Wang (b0200) 2008; 178 Hirsch (b0055) 1976 Nocedal, Wright (b0120) 1999 Oliveira, Petraglia (b0125) 2011 Oliveira, Petraglia, Petraglia (b0140) 2009; 28 Tsai (b0180) 2014; 258 Pachter, Wang (b0150) 2009 Hillermeier (b0050) 2001 E. Mezura-Montes, J. Velázquez-Reyes, C.A. Coello Coello, Modified differential evolution for constrained optimization, in: CEC 2006, Vancouver, 2006, pp. 25–32. Contreras, Klusch, Krawczyk (b0035) 2004; 19 Karaboga, Akay (b0065) 2011; 11 Sen (b0170) 2013 Ingber (10.1016/j.ins.2014.12.032_b0060) 1996; 25 Karaboga (10.1016/j.ins.2014.12.032_b0065) 2011; 11 Kock (10.1016/j.ins.2014.12.032_b0070) 2009 Ongsakul (10.1016/j.ins.2014.12.032_b0145) 2013 Hillermeier (10.1016/j.ins.2014.12.032_b0050) 2001 Tu (10.1016/j.ins.2014.12.032_b0185) 2011 Zhang (10.1016/j.ins.2014.12.032_b0195) 2013; 13 Helmke (10.1016/j.ins.2014.12.032_b0045) 1994 10.1016/j.ins.2014.12.032_b0080 Oliveira (10.1016/j.ins.2014.12.032_b0140) 2009; 28 Lee (10.1016/j.ins.2014.12.032_b0085) 2013 Nocedal (10.1016/j.ins.2014.12.032_b0120) 1999 10.1016/j.ins.2014.12.032_b0025 Hirsch (10.1016/j.ins.2014.12.032_b0055) 1976 Ahrari (10.1016/j.ins.2014.12.032_b0020) 2009; 210 Oliveira (10.1016/j.ins.2014.12.032_b0125) 2011 Abraham (10.1016/j.ins.2014.12.032_b0005) 1988 Oliveira (10.1016/j.ins.2014.12.032_b0135) 2012 Absil (10.1016/j.ins.2014.12.032_b0010) 2008 Contreras (10.1016/j.ins.2014.12.032_b0035) 2004; 19 Deb (10.1016/j.ins.2014.12.032_b0040) 2000; 186 Chern (10.1016/j.ins.2014.12.032_b0030) 2005 Price (10.1016/j.ins.2014.12.032_b0155) 2005 Ma (10.1016/j.ins.2014.12.032_b0105) 2012 Michalewicz (10.1016/j.ins.2014.12.032_b0115) 1996 Sadollah (10.1016/j.ins.2014.12.032_b0165) 2013; 13 Sen (10.1016/j.ins.2014.12.032_b0170) 2013 Ahrari (10.1016/j.ins.2014.12.032_b0015) 2010; 10 Rubinstein (10.1016/j.ins.2014.12.032_b0160) 2004 10.1016/j.ins.2014.12.032_b0095 Long (10.1016/j.ins.2014.12.032_b0100) 2014; 15 10.1016/j.ins.2014.12.032_b0190 10.1016/j.ins.2014.12.032_b0090 Oliveira (10.1016/j.ins.2014.12.032_b0130) 2011; 11 10.1016/j.ins.2014.12.032_b0110 10.1016/j.ins.2014.12.032_b0075 Zhang (10.1016/j.ins.2014.12.032_b0200) 2008; 178 10.1016/j.ins.2014.12.032_b0175 Tsai (10.1016/j.ins.2014.12.032_b0180) 2014; 258 Pachter (10.1016/j.ins.2014.12.032_b0150) 2009 |
| References_xml | – year: 1994 ident: b0045 article-title: Optimization and Dynamical Systems – volume: 19 start-page: 195 year: 2004 end-page: 206 ident: b0035 article-title: Numerical solutions to Nash–Cournot equilibria in coupled constraint electricity markets publication-title: IEEE Trans. Power Syst. – volume: 13 start-page: 2592 year: 2013 end-page: 2612 ident: b0165 article-title: Mine blast algorithm: a new population based algorithm for solving constrained engineering optimization problems publication-title: Appl. Soft Comput. – reference: > (accessed 24.07.13). – year: 2013 ident: b0085 article-title: Introduction to Smooth Manifolds – volume: 10 start-page: 1132 year: 2010 end-page: 1140 ident: b0015 article-title: Grenade explosion method – a novel tool for optimization of multimodal functions publication-title: Appl. Soft Comput. – start-page: 305 year: 1996 end-page: 312 ident: b0115 article-title: A note on usefulness of geometrical crossover for numerical optimization problems publication-title: Proc. of the 5th Annual Conference on Evolutionary Programming – reference: > (accessed 11.03.13). – year: 2001 ident: b0050 article-title: Nonlinear Multiobjective Optimization – A Generalized Homotopy Approach – year: 2009 ident: b0070 article-title: Synthetic Geometry of Manifolds – year: 2013 ident: b0145 article-title: Artificial Intelligence in Power System Optimization – volume: 178 start-page: 3043 year: 2008 end-page: 3074 ident: b0200 article-title: Differential evolution with dynamic stochastic selection for constrained optimization publication-title: Inform. Sci. – reference: S. Biswas, S. Kundu, S. Das, A.V. Vasilakos, Teaching and learning best differential evolution with self adaptation for real parameter optimization, in: 2013 IEEE Congress on Evolutionary Computation, CEC 2013, Vancouver, 2013, pp. 1115–1122. – reference: J.J. Liang, P.N. Suganthan, Dynamic multi-swarm particle swarm optimizer with a novel constraint-handling mechanism, in: CEC 2006, Vancouver, 2006, pp. 9–16. – year: 2005 ident: b0155 article-title: Differential Evolution – A Practical Approach to Global Optimization – volume: 258 start-page: 80 year: 2014 end-page: 93 ident: b0180 article-title: Integrating the artificial bee colony and bees algorithm to face constrained optimization problems publication-title: Inform. Sci. – reference: E. Mezura-Montes, J. Velázquez-Reyes, C.A. Coello Coello, Modified differential evolution for constrained optimization, in: CEC 2006, Vancouver, 2006, pp. 25–32. – year: 1976 ident: b0055 article-title: Differential Topology – year: 1999 ident: b0120 article-title: Numerical Optimization – year: 1988 ident: b0005 article-title: Manifolds, Tensor Analysis, and Applications – year: 2011 ident: b0185 article-title: An Introduction to Manifolds – reference: J. Lawson, Calculating Submanifold Charts, Lecture Notes, Department of Mathematics, Louisiana State University, Louisiana. < – volume: 210 start-page: 376 year: 2009 end-page: 386 ident: b0020 article-title: GEM: a novel evolutionary optimization method with improved neighborhood search publication-title: Appl. Math. Comput. – reference: J.J. Liang, T.P. Runarsson, E. Mezura-Montes, M. Clerc, P.N. Suganthan, C.A.C. Coello, K. Deb, Problem Definitions and Evaluation Criteria for the CEC 2006 Special Session on Constrained Real-Parameter Optimization, Technical Report, Nanyang Technological University, Singapore, 2005. – volume: 15 start-page: 66 year: 2014 end-page: 79 ident: b0100 article-title: A constraint handling technique for constrained multi-objective genetic algorithm publication-title: Swarm Evol. Comput. – start-page: 21 year: 2009 end-page: 26 ident: b0150 article-title: Adaptive simulated annealing and its application to protein folding publication-title: Encyclopedia of Optimization – year: 2004 ident: b0160 article-title: The Cross-Entropy Method: A Unified Approach to Combinatorial Optimization, Monte-Carlo Simulation and Machine Learning – volume: 11 start-page: 4175 year: 2011 end-page: 4182 ident: b0130 article-title: Global optimization using dimensional jumping and fuzzy adaptive simulated annealing publication-title: Appl. Soft Comput. – reference: S. Kukkonen, J. Lampinen, Constrained real-parameter optimization with generalized differential evolution, in: CEC 2006, Vancouver, 2006, pp. 207–214. – year: 2013 ident: b0170 article-title: Global Optimization Methods in Geophysical Inversion – reference: M. F. Tasgetiren, P. N. Suganthan, A multi-populated differential evolution algorithm for solving constrained optimization problem, CEC 2006, Vancouver, 2006, pp. 33–40. – year: 2005 ident: b0030 article-title: Riemann-Finsler Geometry – volume: 25 start-page: 33 year: 1996 end-page: 54 ident: b0060 article-title: Adaptive simulated annealing (ASA): lessons learned publication-title: Control Cybernet. – volume: 186 start-page: 311 year: 2000 end-page: 338 ident: b0040 article-title: An efficient constraint handling method for genetic algorithms publication-title: Comput. Methods Appl. Mech. Eng. – volume: 13 start-page: 1528 year: 2013 end-page: 1542 ident: b0195 article-title: A hybrid approach based on differential evolution and tissue membrane systems for solving constrained manufacturing parameter optimization problems publication-title: Appl. Soft Comput. – reference: T. Weise, Global Optimization Algorithms – Theory and Application. < – start-page: 121 year: 2011 end-page: 130 ident: b0125 article-title: Global optimization using space-filling curves and measure-preserving transformations publication-title: Soft Computing in Industrial Applications, AISC 96 – volume: 11 start-page: 3021 year: 2011 end-page: 3031 ident: b0065 article-title: A modified artificial bee colony (ABC) algorithm for constrained optimization problems publication-title: Appl. Soft Comput. – year: 2012 ident: b0135 article-title: Stochastic Global Optimization and Its Applications with Fuzzy Adaptive Simulated Annealing – volume: 28 start-page: 899 year: 2009 end-page: 911 ident: b0140 article-title: Frequency domain FIR filter design using fuzzy adaptive simulated annealing publication-title: Circ., Syst. Signal Process. – year: 2008 ident: b0010 article-title: Optimization Algorithms on Matrix Manifolds – year: 2012 ident: b0105 article-title: Manifold Learning Theory and Applications – ident: 10.1016/j.ins.2014.12.032_b0080 – volume: 11 start-page: 4175 year: 2011 ident: 10.1016/j.ins.2014.12.032_b0130 article-title: Global optimization using dimensional jumping and fuzzy adaptive simulated annealing publication-title: Appl. Soft Comput. doi: 10.1016/j.asoc.2011.03.010 – year: 2004 ident: 10.1016/j.ins.2014.12.032_b0160 – year: 1994 ident: 10.1016/j.ins.2014.12.032_b0045 – year: 2001 ident: 10.1016/j.ins.2014.12.032_b0050 – year: 1999 ident: 10.1016/j.ins.2014.12.032_b0120 – volume: 19 start-page: 195 year: 2004 ident: 10.1016/j.ins.2014.12.032_b0035 article-title: Numerical solutions to Nash–Cournot equilibria in coupled constraint electricity markets publication-title: IEEE Trans. Power Syst. doi: 10.1109/TPWRS.2003.820692 – volume: 186 start-page: 311 issue: 24 year: 2000 ident: 10.1016/j.ins.2014.12.032_b0040 article-title: An efficient constraint handling method for genetic algorithms publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/S0045-7825(99)00389-8 – year: 2005 ident: 10.1016/j.ins.2014.12.032_b0155 – ident: 10.1016/j.ins.2014.12.032_b0175 doi: 10.1109/CEC.2006.1688287 – volume: 11 start-page: 3021 year: 2011 ident: 10.1016/j.ins.2014.12.032_b0065 article-title: A modified artificial bee colony (ABC) algorithm for constrained optimization problems publication-title: Appl. Soft Comput. doi: 10.1016/j.asoc.2010.12.001 – year: 2012 ident: 10.1016/j.ins.2014.12.032_b0105 – year: 2013 ident: 10.1016/j.ins.2014.12.032_b0170 – ident: 10.1016/j.ins.2014.12.032_b0090 – ident: 10.1016/j.ins.2014.12.032_b0110 doi: 10.1109/CEC.2006.1688286 – start-page: 21 year: 2009 ident: 10.1016/j.ins.2014.12.032_b0150 article-title: Adaptive simulated annealing and its application to protein folding – volume: 15 start-page: 66 year: 2014 ident: 10.1016/j.ins.2014.12.032_b0100 article-title: A constraint handling technique for constrained multi-objective genetic algorithm publication-title: Swarm Evol. Comput. doi: 10.1016/j.swevo.2013.12.002 – ident: 10.1016/j.ins.2014.12.032_b0095 doi: 10.1109/CEC.2006.1688284 – volume: 10 start-page: 1132 year: 2010 ident: 10.1016/j.ins.2014.12.032_b0015 article-title: Grenade explosion method – a novel tool for optimization of multimodal functions publication-title: Appl. Soft Comput. doi: 10.1016/j.asoc.2009.11.032 – year: 2013 ident: 10.1016/j.ins.2014.12.032_b0145 – year: 1988 ident: 10.1016/j.ins.2014.12.032_b0005 – volume: 258 start-page: 80 year: 2014 ident: 10.1016/j.ins.2014.12.032_b0180 article-title: Integrating the artificial bee colony and bees algorithm to face constrained optimization problems publication-title: Inform. Sci. doi: 10.1016/j.ins.2013.09.015 – year: 2008 ident: 10.1016/j.ins.2014.12.032_b0010 – ident: 10.1016/j.ins.2014.12.032_b0190 – year: 2012 ident: 10.1016/j.ins.2014.12.032_b0135 – year: 2005 ident: 10.1016/j.ins.2014.12.032_b0030 – year: 2009 ident: 10.1016/j.ins.2014.12.032_b0070 – year: 2011 ident: 10.1016/j.ins.2014.12.032_b0185 – start-page: 121 year: 2011 ident: 10.1016/j.ins.2014.12.032_b0125 article-title: Global optimization using space-filling curves and measure-preserving transformations – ident: 10.1016/j.ins.2014.12.032_b0075 doi: 10.1109/CEC.2006.1688310 – volume: 210 start-page: 376 year: 2009 ident: 10.1016/j.ins.2014.12.032_b0020 article-title: GEM: a novel evolutionary optimization method with improved neighborhood search publication-title: Appl. Math. Comput. doi: 10.1016/j.amc.2009.01.009 – year: 2013 ident: 10.1016/j.ins.2014.12.032_b0085 – volume: 178 start-page: 3043 year: 2008 ident: 10.1016/j.ins.2014.12.032_b0200 article-title: Differential evolution with dynamic stochastic selection for constrained optimization publication-title: Inform. Sci. doi: 10.1016/j.ins.2008.02.014 – ident: 10.1016/j.ins.2014.12.032_b0025 doi: 10.1109/CEC.2013.6557691 – year: 1976 ident: 10.1016/j.ins.2014.12.032_b0055 – volume: 13 start-page: 2592 issue: 5 year: 2013 ident: 10.1016/j.ins.2014.12.032_b0165 article-title: Mine blast algorithm: a new population based algorithm for solving constrained engineering optimization problems publication-title: Appl. Soft Comput. doi: 10.1016/j.asoc.2012.11.026 – volume: 13 start-page: 1528 issue: 3 year: 2013 ident: 10.1016/j.ins.2014.12.032_b0195 article-title: A hybrid approach based on differential evolution and tissue membrane systems for solving constrained manufacturing parameter optimization problems publication-title: Appl. Soft Comput. doi: 10.1016/j.asoc.2012.05.032 – start-page: 305 year: 1996 ident: 10.1016/j.ins.2014.12.032_b0115 article-title: A note on usefulness of geometrical crossover for numerical optimization problems – volume: 28 start-page: 899 issue: 6 year: 2009 ident: 10.1016/j.ins.2014.12.032_b0140 article-title: Frequency domain FIR filter design using fuzzy adaptive simulated annealing publication-title: Circ., Syst. Signal Process. doi: 10.1007/s00034-009-9128-1 – volume: 25 start-page: 33 issue: 1 year: 1996 ident: 10.1016/j.ins.2014.12.032_b0060 article-title: Adaptive simulated annealing (ASA): lessons learned publication-title: Control Cybernet. |
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| Title | Dimensional reduction in constrained global optimization on smooth manifolds |
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