| Presentation | 2010-07-12 Analysis Using Space Embedded Equation in Moment Vector Space for High-dimensional Nonlinear System Hideki SATOH, |
|---|---|
| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A space embedded equation (SEE) has been developed for expressing an arbitrary high-dimensional target system as a low-dimensional equation. The target system is analyzed using the moment vector equation (MVE) of the SEE instead of the MVE itself. First, the high-dimensional state space of the target system is discretized into a finite discrete space. Next, an embedding from the discrete space to a low-dimensional discrete space is defined. The SEE of the target system is derived usign the embedding. The dimension of the MVE increases geometrically with the dimension of the target system, so it is very difficult to analyze a high-dimensional system using its MVE. However, this "curse of dimensionality" problem can be avoided by using the MVE of the SEE. Moreover, the MVE is effective for identifying dynamics that cannot be identified using numerical simulation. This approach thus can be used to analyze various properties of high-dimensional nonlinear systems that could not previously be analyzed. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | nonlinear / MVE / dimensionality reduction / model reduction / discrete-state abstraction |
| Paper # | NLP2010-33 |
| Date of Issue |
| Conference Information | |
| Committee | NLP |
|---|---|
| Conference Date | 2010/7/5(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
|---|---|
| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Analysis Using Space Embedded Equation in Moment Vector Space for High-dimensional Nonlinear System |
| Sub Title (in English) | |
| Keyword(1) | nonlinear |
| Keyword(2) | MVE |
| Keyword(3) | dimensionality reduction |
| Keyword(4) | model reduction |
| Keyword(5) | discrete-state abstraction |
| 1st Author's Name | Hideki SATOH |
| 1st Author's Affiliation | School of Systems Information Science, Future University Hakodate() |
| Date | 2010-07-12 |
| Paper # | NLP2010-33 |
| Volume (vol) | vol.110 |
| Number (no) | 122 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |