| Presentation | 2017-06-24 Stability of fixed points and periodic orbits in dynamic binary neural networks Seitaro Koyama, Shunsuke Aoki, Toshimichi Saito, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The dynamic neural networks are characterized by the signum activation function and ternary connection parameters. Depending on the parameters, the network can generate various binary periodic orbits and fixed points. This paper studies stability of target periodic orbit (or a target memory set of fixed points) stored it the network. Using typical examples, we have investigated relationship between stability of the target periodic orbit and sparsity of the network connection. In the examples, the sparsity increases, the orbit stability tends to be reinforced. As the sparsity increases farther, the stability becomes weak and the network approaches an equivalent system to the shift register where no stable periodic orbit exist. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Dynamic binary neural networks / Fixed points / Periodic orbits / Stability |
| Paper # | NC2017-14 |
| Date of Issue | 2017-06-16 (NC) |
| Conference Information | |
| Committee | NC / IPSJ-BIO / IBISML / IPSJ-MPS |
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| Conference Date | 2017/6/23(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) | Machine Learning Approach to Biodata Mining, and General |
| Chair | Masafumi Hagiwara(Keio Univ.) / / Kenji Fukumizu(ISM) |
| Vice Chair | Yutaka Hirata(Chubu Univ.) / / Masashi Sugiyama(Univ. of Tokyo) |
| Secretary | Yutaka Hirata(Tokyo Inst. of Tech.) / (Nagoya Univ.) / Masashi Sugiyama / (Kyoto Univ.) |
| Assistant | Yoshihisa Shinozawa(Keio Univ.) / Keiichiro Inagaki(Chubu Univ.) / / Ichiro Takeuchi(Nagoya Inst. of Tech.) / Toshihiro Kamishima(AIST) |
| Paper Information | |
| Registration To | Technical Committee on Neurocomputing / Special Interest Group on Bioinformatics and Genomics / Technical Committee on Infomation-Based Induction Sciences and Machine Learning / Special Interest Group on Mathematical Modeling and Problem Solving |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Stability of fixed points and periodic orbits in dynamic binary neural networks |
| Sub Title (in English) | |
| Keyword(1) | Dynamic binary neural networks |
| Keyword(2) | Fixed points |
| Keyword(3) | Periodic orbits |
| Keyword(4) | Stability |
| 1st Author's Name | Seitaro Koyama |
| 1st Author's Affiliation | Hosei University(Hosei Univ.) |
| 2nd Author's Name | Shunsuke Aoki |
| 2nd Author's Affiliation | Hosei University(Hosei Univ.) |
| 3rd Author's Name | Toshimichi Saito |
| 3rd Author's Affiliation | Hosei University(Hosei Univ.) |
| Date | 2017-06-24 |
| Paper # | NC2017-14 |
| Volume (vol) | vol.117 |
| Number (no) | NC-109 |
| Page | pp.pp.99-103(NC), |
| #Pages | 5 |
| Date of Issue | 2017-06-16 (NC) |