MQHOA algorithm with energy level stabilizing process
An improved multi-scale quantum harmonic oscillator algorithm (MQHOA) with energy level stabilizing process was proposed analogizing to quantum harmonic oscillator's wave function. Inspired by quantum model, the op-timization problem was transformed to finding ground state wave function of boun...
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| Format: | Article |
| Language: | zho |
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Editorial Department of Journal on Communications
2016-07-01
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| Series: | Tongxin xuebao |
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| Online Access: | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2016136/ |
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| author | Peng WANG Yan HUANG |
| author_facet | Peng WANG Yan HUANG |
| author_sort | Peng WANG |
| collection | DOAJ |
| description | An improved multi-scale quantum harmonic oscillator algorithm (MQHOA) with energy level stabilizing process was proposed analogizing to quantum harmonic oscillator's wave function. Inspired by quantum model, the op-timization problem was transformed to finding ground state wave function of bound state. Harmonic oscillator potential well was used to approach objective function under the condition of Taylor approximation. Energy level stabilization, en-ergy level reduction, scale reduction were the basic iterative convergence processes of MQHOA, coinciding with its physical model. Only one subjective control parameter was needed in MQHOA whose wave function and zero-point en-ergy were defined with reference to quantum model. Experimental results show that MQHOA's performance is superior to several other common optimization algorithms. For high dimensional testing functions including Ackley、Griewank、Sphere、Sum Squares、Zakharov, etc, the global optimums can be obtained precisely with 100% probability. |
| format | Article |
| id | doaj-art-d2aae9ec842e42f08314cdec68bfce4b |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2016-07-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-d2aae9ec842e42f08314cdec68bfce4b2025-01-14T06:55:45ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2016-07-0137798659702134MQHOA algorithm with energy level stabilizing processPeng WANGYan HUANGAn improved multi-scale quantum harmonic oscillator algorithm (MQHOA) with energy level stabilizing process was proposed analogizing to quantum harmonic oscillator's wave function. Inspired by quantum model, the op-timization problem was transformed to finding ground state wave function of bound state. Harmonic oscillator potential well was used to approach objective function under the condition of Taylor approximation. Energy level stabilization, en-ergy level reduction, scale reduction were the basic iterative convergence processes of MQHOA, coinciding with its physical model. Only one subjective control parameter was needed in MQHOA whose wave function and zero-point en-ergy were defined with reference to quantum model. Experimental results show that MQHOA's performance is superior to several other common optimization algorithms. For high dimensional testing functions including Ackley、Griewank、Sphere、Sum Squares、Zakharov, etc, the global optimums can be obtained precisely with 100% probability.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2016136/optimization algorithmfunction optimizationMQHOAwave functionground state |
| spellingShingle | Peng WANG Yan HUANG MQHOA algorithm with energy level stabilizing process Tongxin xuebao optimization algorithm function optimization MQHOA wave function ground state |
| title | MQHOA algorithm with energy level stabilizing process |
| title_full | MQHOA algorithm with energy level stabilizing process |
| title_fullStr | MQHOA algorithm with energy level stabilizing process |
| title_full_unstemmed | MQHOA algorithm with energy level stabilizing process |
| title_short | MQHOA algorithm with energy level stabilizing process |
| title_sort | mqhoa algorithm with energy level stabilizing process |
| topic | optimization algorithm function optimization MQHOA wave function ground state |
| url | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2016136/ |
| work_keys_str_mv | AT pengwang mqhoaalgorithmwithenergylevelstabilizingprocess AT yanhuang mqhoaalgorithmwithenergylevelstabilizingprocess |