Novel Global Harmony Search Algorithm for Least Absolute Deviation
The method of least absolute deviation (LAD) finds applications in many areas, due to its robustness compared to the least squares regression (LSR) method. LAD is robust in that it is resistant to outliers in the data. This may be helpful in studies where outliers may be ignored. Since LAD is nonsmo...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/632975 |
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| _version_ | 1850167427086680064 |
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| author | Longquan Yong |
| author_facet | Longquan Yong |
| author_sort | Longquan Yong |
| collection | DOAJ |
| description | The method of least absolute deviation (LAD) finds applications in many areas, due to its robustness compared to the least squares regression (LSR) method. LAD is robust in that it is resistant to outliers in the data. This may be helpful in studies where outliers may be ignored. Since LAD is nonsmooth optimization problem, this paper proposed a metaheuristics algorithm named novel global harmony search (NGHS) for solving. Numerical results show that the NGHS method has good convergence property and effective in solving LAD. |
| format | Article |
| id | doaj-art-d9beb8ab0d164eb9998359a6b5c6702a |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-d9beb8ab0d164eb9998359a6b5c6702a2025-08-20T02:21:12ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/632975632975Novel Global Harmony Search Algorithm for Least Absolute DeviationLongquan Yong0School of Mathematics and Computer Science, Shaanxi University of Technology, Hanzhong 723001, ChinaThe method of least absolute deviation (LAD) finds applications in many areas, due to its robustness compared to the least squares regression (LSR) method. LAD is robust in that it is resistant to outliers in the data. This may be helpful in studies where outliers may be ignored. Since LAD is nonsmooth optimization problem, this paper proposed a metaheuristics algorithm named novel global harmony search (NGHS) for solving. Numerical results show that the NGHS method has good convergence property and effective in solving LAD.http://dx.doi.org/10.1155/2014/632975 |
| spellingShingle | Longquan Yong Novel Global Harmony Search Algorithm for Least Absolute Deviation Journal of Applied Mathematics |
| title | Novel Global Harmony Search Algorithm for Least Absolute Deviation |
| title_full | Novel Global Harmony Search Algorithm for Least Absolute Deviation |
| title_fullStr | Novel Global Harmony Search Algorithm for Least Absolute Deviation |
| title_full_unstemmed | Novel Global Harmony Search Algorithm for Least Absolute Deviation |
| title_short | Novel Global Harmony Search Algorithm for Least Absolute Deviation |
| title_sort | novel global harmony search algorithm for least absolute deviation |
| url | http://dx.doi.org/10.1155/2014/632975 |
| work_keys_str_mv | AT longquanyong novelglobalharmonysearchalgorithmforleastabsolutedeviation |