Detection of probability distribution and regimes in nonlinear systems with nonlinear dimension reduction methods
| Project/Area Number |
21740344
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Meteorology/Physical oceanography/Hydrology
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| Research Institution | Kobe University |
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Principal Investigator |
NISHIZAWA Seiya Kobe University, 大学院・理学研究科, 助教 (40447892)
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| Project Period (FY) |
2009 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2010: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2009: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
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| Keywords | 非線形次元削減 / 確率分布 / レジーム / 非線形システム |
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| Research Abstract |
The atmospheric system is a high dimensional nonlinear system and naive analyses of variability in the system is not easy due to the high dimensionality. In this study, I extract low dimensional manifolds from strongly nonlinear atmospheric variability, such as temperature in winter polar stratosphere and precipitation, with nonlinear dimension reduction methods. Those manifolds show asymmetry in physical quantities between positive and negative values, although the asymmetry cannot be represented with linear methods. Additionally I estimate existence probability distribution of state variables and clusters on the manifolds, and obtain possible regimes, though it is not statistically significant.
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Report
(3 results)
Research Products
(8 results)
