| Presentation | 1996/2/3 Theoretical analysis and simulations of Hopfield neural networks using Lagrange multipliers Kenji MURAKAMI, Takahumi OOHORI, Kazuhisa WATANABE, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The augmented penalty function using the Lagrange multipliers was proposed to improve the feasibility of the Hopfield network with the penalty function. However, it was pointed that the convergence to the feasible solutions is not assured when the penalty factor r is small. Computational results for several constrained combinatorial problems show that, for the problems with the linear objective, any r&ge0 can make the local minima feasible by updating Lagrange multipliers and, for the problems with the quadratic objective, there exist the r's that can make the local minima alway feasibe or alway infeasible by updating Lagrange multipliers. We also theoretically analyze the above results for the WTA(winner-takes-all)problems. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | interconnected neural network / combinatorial optimization problem / Lagrange multiplier / augmented penalty function / theoretical analysis / winner-takes-all problem |
| Paper # | NC95-110 |
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| Conference Information | |
| Committee | NC |
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| Conference Date | 1996/2/3(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
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| Paper Information | |
| Registration To | Neurocomputing (NC) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Theoretical analysis and simulations of Hopfield neural networks using Lagrange multipliers |
| Sub Title (in English) | |
| Keyword(1) | interconnected neural network |
| Keyword(2) | combinatorial optimization problem |
| Keyword(3) | Lagrange multiplier |
| Keyword(4) | augmented penalty function |
| Keyword(5) | theoretical analysis |
| Keyword(6) | winner-takes-all problem |
| 1st Author's Name | Kenji MURAKAMI |
| 1st Author's Affiliation | Department of Electrical Engineering, Hokkaido Institute of Technology() |
| 2nd Author's Name | Takahumi OOHORI |
| 2nd Author's Affiliation | Department of Electrical Engineering, Hokkaido Institute of Technology |
| 3rd Author's Name | Kazuhisa WATANABE |
| 3rd Author's Affiliation | Department of Electrical Engineering, Hokkaido Institute of Technology |
| Date | 1996/2/3 |
| Paper # | NC95-110 |
| Volume (vol) | vol.95 |
| Number (no) | 506 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |