| Presentation | 2011-03-10 A Manifold Learning Analysis of Chaos in a Dripping Faucet Hiromichi SUETANI, Hiroki KUROIWA, Hiroki HATA, Shotaro AKAHO, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Dripping water from a faucet is very familiar to us and it provides various nonlinear phenomena including chaos. When its dynamics is sufficiently low dimensional, the essential information about the system is contained in time intervals between successive drippings. Its return plot, however, often takes a form of multi-valued function which causes us difficulty to understand the dripping water as a deterministic dynamical system. In the present study, we employ ISOMAP to extract a new coordinate from finite samples lying on a string-like manifold in the time-delay embedding space, which enables us to describe the dynamics of the dripping water as a one-dimensional map. Here, in order to improve the conventional ISOMAP, we propose an approach based on RANSAC to prune misconnected edges in the neighboring graph. We demonstrate usufullness of our proposed approach by applying it to simulation data of a mass-spring model for the dripping faucet. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | dripping water / return plot / dimension reduction / manifold learning / kernel methods / outliers |
| Paper # | NLP2010-173 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2011/3/3(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Manifold Learning Analysis of Chaos in a Dripping Faucet |
| Sub Title (in English) | |
| Keyword(1) | dripping water |
| Keyword(2) | return plot |
| Keyword(3) | dimension reduction |
| Keyword(4) | manifold learning |
| Keyword(5) | kernel methods |
| Keyword(6) | outliers |
| 1st Author's Name | Hiromichi SUETANI |
| 1st Author's Affiliation | Graduate School of Science and Engineering, Kagoshima University:"Decoding and Controlling Brain Information", PRESTO, Japan Science and Technology Agency:RIKEN-HYU Collaboration Research Center, RIKEN Advanced Science Institute() |
| 2nd Author's Name | Hiroki KUROIWA |
| 2nd Author's Affiliation | Graduate School of Science and Engineering, Kagoshima University |
| 3rd Author's Name | Hiroki HATA |
| 3rd Author's Affiliation | Graduate School of Science and Engineering, Kagoshima University |
| 4th Author's Name | Shotaro AKAHO |
| 4th Author's Affiliation | The National Institute of Advanced Industrial Science and Technology |
| Date | 2011-03-10 |
| Paper # | NLP2010-173 |
| Volume (vol) | vol.110 |
| Number (no) | 465 |
| Page | pp.pp.- |
| #Pages | 6 |
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