| Project/Area Number |
25610105
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Nara Women's University |
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Principal Investigator |
Toda Mikito 奈良女子大学, 自然科学系, 准教授 (70197896)
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| Co-Investigator(Kenkyū-buntansha) |
Takami Toshiya 大分大学, 工学部, 教授 (10270472)
Fukumizu Kenji 統計数理研究所, 数理推論研究系, 教授 (60311362)
Fujisaki Hiroshi 日本医科大学, 医学部, 准教授 (60573243)
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 時系列解析 / ウェーブレット変換 / 次元縮約 / 生体分子 / 機能発現 / 反応動力学 / 相空間構造 / 主成分解析 / 正準相関解析 / 情報縮約 / 集団運動 / 大自由度力学系 / 非平衡統計力学 / 統計科学 / ウエーブレット解析 / ウエーブレット変換 / 動的相関 / 頑健性 / 天然変性タンパク質 / 統計的因果推論 |
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| Outline of Final Research Achievements |
Understanding molecular function is a challenging problem. In particular, functional processes are rare events, we need to develop a new methodology for dimensional reduction for time series data in large dimensional space. In order to attack these problems, we combine achievements of recent progress in data analysis such as wavelet transformations, trend analysis and kernel methods. We also rely on recent results of nonlinear science such as phase space geometry of reaction dynamics. We apply these methods to analyze model systems of reaction dynamics, Fermi-Pasta-Ulam coupled oscillator system and proteins.
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