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このアイテムの引用には次の識別子を使用してください:
http://hdl.handle.net/10119/19988
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| タイトル: | Fast convergence to an approximate solution by message-passing for complex optimizations |
| 著者: | Hayashi, Yukio |
| キーワード: | message-passing
product-sum form
optimization
fast convergence
collective
linearity in a logarithmic space |
| 発行日: | 2024-04-01 |
| 出版者: | Institute of Electronics, Information and Communication Engineers (IEICE) |
| 誌名: | Nonlinear Theory and Its Applications, IEICE |
| 巻: | E15-N |
| 号: | 2 |
| 開始ページ: | 485 |
| 終了ページ: | 500 |
| DOI: | 10.1587/nolta.15.485 |
| 抄録: | Message-passing (MP) is a powerful tool for finding an approximate solution in optimization. We generalize it to nonlinear product-sum form, and numerically show the fast convergence for the minimum feedback vertex set and the minimum vertex cover known as NP-hard problems. From the linearity of MP in a logarithmic space, it is derived that an equilibrium solution exists in a neighborhood of random initial values. These results will give one of the reason why the convergence is very fast in collective computation based on a common mathematical background. |
| Rights: | Copyright (c) 2024 The Institute of Electronics, Information and Communication Engineers (IEICE). This work is licensed under a Creative Commons Attribution Non Commercial, No Derivatives 4.0 License CC BY-NC-ND [https://creativecommons.org/licenses/by-nc-nd/4.0/].Yukio Hayashi, Nonlinear Theory and Its Applications, IEICE, vol. 15, no. 2, 2024, pp. 485–500. DOI: https://doi.org/10.1587/nolta.15.485. |
| URI: | http://hdl.handle.net/10119/19988 |
| 資料タイプ: | publisher |
| 出現コレクション: | d10-1. 雑誌掲載論文 (Journal Articles)
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このアイテムのファイル:
| ファイル |
記述 |
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| T-HAYASHI-Y-0913-2.pdf | | 3157Kb | Adobe PDF | 見る/開く |
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