| Presentation | 2023-03-15 On binary periodic orbits in sparse binary neural networks Hiroki Nonaka, Toshimichi Saito, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | This paper studies periodic orbits in a dynamic binary neural network constructed by the signum activation function and sparse binary connection. The dynamics is described by an autonomous difference equation of binary state variables. Depending on the connection parameters, the network exhibits a variety of rotation-type periodic orbits of binary vectors. In the network, we present simple parameter setting method that guarantees generation of typical periodic orbits. Applying precise numerical/theoretical analysis, the number and stability of the periodic orbits are clarified. Presenting a simple FPGA based hardware prototype, typical periodic orbits are confirmed experimentally. The hardware will be developed into engineering applications including control systems of switching circuits and walking robots. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | reccurent neural networks / binary neural networks / periodic orbits / stability / FPGA |
| Paper # | MSS2022-71,NLP2022-116 |
| Date of Issue | 2023-03-08 (MSS, NLP) |
| Conference Information | |
| Committee | NLP / MSS |
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| Conference Date | 2023/3/15(3days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Akio Tsuneda(Kumamoto Univ.) / Atsuo Ozaki(Osaka Inst. of Tech.) |
| Vice Chair | Hiroyuki Torikai(Hosei Univ.) / Shingo Yamaguchi(Yamaguchi Univ.) |
| Secretary | Hiroyuki Torikai(Sojo Univ.) / Shingo Yamaguchi(Gifu Univ.) |
| Assistant | Yuichi Yokoi(Nagasaki Univ.) / Yoshikazu Yamanaka(Utsunomiya Univ.) / Masato Shirai(Shimane Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Nonlinear Problems / Technical Committee on Mathematical Systems Science and its Applications |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On binary periodic orbits in sparse binary neural networks |
| Sub Title (in English) | |
| Keyword(1) | reccurent neural networks |
| Keyword(2) | binary neural networks |
| Keyword(3) | periodic orbits |
| Keyword(4) | stability |
| Keyword(5) | FPGA |
| 1st Author's Name | Hiroki Nonaka |
| 1st Author's Affiliation | Hosei University(HU) |
| 2nd Author's Name | Toshimichi Saito |
| 2nd Author's Affiliation | Hosei University(HU) |
| Date | 2023-03-15 |
| Paper # | MSS2022-71,NLP2022-116 |
| Volume (vol) | vol.122 |
| Number (no) | MSS-435,NLP-436 |
| Page | pp.pp.49-52(MSS), pp.49-52(NLP), |
| #Pages | 4 |
| Date of Issue | 2023-03-08 (MSS, NLP) |