Quantum-inspired optimization algorithm with adaptive correction of energy position: Methodology and a case study
Efficient and stable global optimizers constitute a noteworthy arena of academic study and real-world applications. Since Multi-scale Quantum Harmonic Oscillator Algorithm inspired by the quantum motion for solving optimization problems was proposed, considerable contributions regarding this algorit...
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| Veröffentlicht in: | Applied soft computing Jg. 145; S. 110560 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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Elsevier B.V
01.09.2023
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| ISSN: | 1568-4946, 1872-9681 |
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| Abstract | Efficient and stable global optimizers constitute a noteworthy arena of academic study and real-world applications. Since Multi-scale Quantum Harmonic Oscillator Algorithm inspired by the quantum motion for solving optimization problems was proposed, considerable contributions regarding this algorithm have been achieved in recent years. Nevertheless, issues such as the aggregation effect during sampling as well as recurrence and blindness in random searches hinder the performance of the algorithm. Motivated by this situation, a variant of Multi-scale Quantum Harmonic Oscillator Algorithm is put forward to improve the efficiency of the system convergence while maintaining the solution diversity. The measurement of the solution position through the collapse of the quantum state to the classical state is realized by means of quantum Monte Carlo simulations, and the energy position is established as a metric for energy observation. Then, the adaptive correction of the energy position is explored to improve algorithm performance. The core idea of our mechanism is to adaptively guide the candidate solutions toward convergence to the ground state by means of attractive factors based on the relationship among the energy positions of several reference points. Experimental results obtained on the CEC2013 benchmark functions and a real-world application indicate that the performance of our scheme is competitive and that it achieves prominence among the compared algorithms as the dimensionality increases.
•We propose a general framework for a class of quantum-inspired algorithms.•A MQHOA variant with adaptive balance utilizing attractive factors is present.•Our scheme is analyzed in various aspects, such as wave functions•The scheme is validated on CEC2013 benchmark functions and a real-world case study.•The results show prominent scheme performance with increasing dimensionality. |
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| AbstractList | Efficient and stable global optimizers constitute a noteworthy arena of academic study and real-world applications. Since Multi-scale Quantum Harmonic Oscillator Algorithm inspired by the quantum motion for solving optimization problems was proposed, considerable contributions regarding this algorithm have been achieved in recent years. Nevertheless, issues such as the aggregation effect during sampling as well as recurrence and blindness in random searches hinder the performance of the algorithm. Motivated by this situation, a variant of Multi-scale Quantum Harmonic Oscillator Algorithm is put forward to improve the efficiency of the system convergence while maintaining the solution diversity. The measurement of the solution position through the collapse of the quantum state to the classical state is realized by means of quantum Monte Carlo simulations, and the energy position is established as a metric for energy observation. Then, the adaptive correction of the energy position is explored to improve algorithm performance. The core idea of our mechanism is to adaptively guide the candidate solutions toward convergence to the ground state by means of attractive factors based on the relationship among the energy positions of several reference points. Experimental results obtained on the CEC2013 benchmark functions and a real-world application indicate that the performance of our scheme is competitive and that it achieves prominence among the compared algorithms as the dimensionality increases.
•We propose a general framework for a class of quantum-inspired algorithms.•A MQHOA variant with adaptive balance utilizing attractive factors is present.•Our scheme is analyzed in various aspects, such as wave functions•The scheme is validated on CEC2013 benchmark functions and a real-world case study.•The results show prominent scheme performance with increasing dimensionality. |
| ArticleNumber | 110560 |
| Author | Wang, Peng Mu, Lei |
| Author_xml | – sequence: 1 givenname: Lei surname: Mu fullname: Mu, Lei email: truemoller@outlook.com organization: School of Computer Science and Technology, Southwest Minzu University, Chengdu 610041, China – sequence: 2 givenname: Peng orcidid: 0000-0001-5876-4650 surname: Wang fullname: Wang, Peng email: wp002005@163.com organization: School of Computer Science and Technology, Southwest Minzu University, Chengdu 610041, China |
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| Cites_doi | 10.1016/j.asoc.2018.05.005 10.1126/science.284.5415.779 10.1590/S0103-97332003000100003 10.1109/CEC.2013.6557848 10.1016/j.asoc.2019.105800 10.1109/3477.484436 10.1007/BF01011339 10.1109/4235.585893 10.1162/EVCO_a_00049 10.1007/s12065-014-0110-x 10.1109/ICCA.2017.8003198 10.1016/j.asoc.2017.10.046 10.1119/1.18168 10.1109/TSG.2011.2151888 10.1016/0009-2614(94)00117-0 10.1109/TEVC.2017.2787042 10.1016/j.apenergy.2011.11.088 10.1023/A:1008306431147 10.1007/s00224-004-1177-z 10.1109/CEC.1999.785511 |
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| Keywords | Quantum Monte Carlo Energy position Evolutionary algorithms Optimization problem |
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| Title | Quantum-inspired optimization algorithm with adaptive correction of energy position: Methodology and a case study |
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