| Presentation | 2019-06-17 Analysis of periodic orbits in digital maps by a self-organizaition synthesis method Yuya Sawano, Toshimichi Saito, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Self-organizing learning of digital map is considered in this paper. The digital map is a simple digital dynamical system defined on a set of points and the steady state must be a periodic orbit. Depending on parameters and initial condition, the digital map generates various periodic orbits. In order to construct a digital map automatically, we present a simple learning algorithm. The algorithm is based on the self-organizing feature map. Depending on input signals, the Dmap structure can grow flexibly. Applying the algorithm to typical examples of chaotic input signals from the bifurcating neuron, we obtain digital maps and analyze the basic dynamics. The analysis is carried out using a simple feature quantity that characterize richness of periodic orbits. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | digital dynamical systems / periodic orbits / stability |
| Paper # | NC2019-2 |
| Date of Issue | 2019-06-10 (NC) |
| Conference Information | |
| Committee | NC / IBISML / IPSJ-MPS / IPSJ-BIO |
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| Conference Date | 2019/6/17(3days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Okinawa Institute of Science and Technology |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Neurocomputing, Machine Learning Approach to Biodata Mining, and General |
| Chair | Hayaru Shouno(UEC) / Hisashi Kashima(Kyoto Univ.) / Masakazu Sekijima(Tokyo Tech) / Hiroyuki Kurata(Kyutech) |
| Vice Chair | Kazuyuki Samejima(Tamagawa Univ) / Masashi Sugiyama(Univ. of Tokyo) / Koji Tsuda(Univ. of Tokyo) |
| Secretary | Kazuyuki Samejima(NAIST) / Masashi Sugiyama(NTT) / Koji Tsuda(Nagoya Inst. of Tech.) / (AIST) / (Nagoya Univ.) |
| Assistant | Takashi Shinozaki(NICT) / Ken Takiyama(TUAT) / Tomoharu Iwata(NTT) / Shigeyuki Oba(Kyoto Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Neurocomputing / Technical Committee on Infomation-Based Induction Sciences and Machine Learning / IPSJ Special Interest Group on Mathematical Modeling and Problem Solving / IPSJ Special Interest Group on Bioinformatics and Genomics |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Analysis of periodic orbits in digital maps by a self-organizaition synthesis method |
| Sub Title (in English) | |
| Keyword(1) | digital dynamical systems |
| Keyword(2) | periodic orbits |
| Keyword(3) | stability |
| 1st Author's Name | Yuya Sawano |
| 1st Author's Affiliation | HOSEI University(HU) |
| 2nd Author's Name | Toshimichi Saito |
| 2nd Author's Affiliation | HOSEI University(HU) |
| Date | 2019-06-17 |
| Paper # | NC2019-2 |
| Volume (vol) | vol.119 |
| Number (no) | NC-88 |
| Page | pp.pp.3-7(NC), |
| #Pages | 5 |
| Date of Issue | 2019-06-10 (NC) |