| Presentation | 2006-01-12 Design of Piecewise-Linear Neural Networks Generating Desired Periodic Sequences of Binary Vectors Norikazu TAKAHASHI, Tsuyoshi YAMAKAWA, Tetsuo NISHI, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | How to design continuous-time neural networks generating prescribed sequences of binary vectors is studied in this report. It is assumed that state-output characteristic of each neuron is expressed by a piecewise linear function and that every two consecutive vectors in the sequence differ in exactly one component. We first analyze the state trajectories of such networks and derive a sufficient condition for the network to generate prescribed sequence of binary vectors. Since this sufficient condition is expressed in the form of linear inequalities, the network design can be formulated as an optimization problem having the sufficient condition as constraints. We will propose two design methods based on this approach : one is to minimize the sum of square of parameter values and the other is to maximize the robustness against parameter variations. Since the former and the latter are formulated as a quadratic programming problem and a linear programming problem, respectively, we can easily find parameter values by applying one of existing numerical solvers. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | neural networks / piecewise linear function / design / periodic sequence / optimization |
| Paper # | CAS2005-82 |
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| Conference Information | |
| Committee | CAS |
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| Conference Date | 2006/1/5(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Circuits and Systems (CAS) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Design of Piecewise-Linear Neural Networks Generating Desired Periodic Sequences of Binary Vectors |
| Sub Title (in English) | |
| Keyword(1) | neural networks |
| Keyword(2) | piecewise linear function |
| Keyword(3) | design |
| Keyword(4) | periodic sequence |
| Keyword(5) | optimization |
| 1st Author's Name | Norikazu TAKAHASHI |
| 1st Author's Affiliation | Department of Computer Science and Communication Engineering, Kyushu University() |
| 2nd Author's Name | Tsuyoshi YAMAKAWA |
| 2nd Author's Affiliation | Department of Computer Science and Communication Engineering, Kyushu University:Nissan Motor Co., Ltd. |
| 3rd Author's Name | Tetsuo NISHI |
| 3rd Author's Affiliation | Faculty of Science and Engineering, Waseda University |
| Date | 2006-01-12 |
| Paper # | CAS2005-82 |
| Volume (vol) | vol.105 |
| Number (no) | 503 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |