| Presentation | 1995/7/27 Convergence Analysis of Recurrent Neural Network with Self-feedback loops Yoshihiro Tomikawa, Kenji Nakayama, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Recurrent Neural Networks (RNN) with self-feedback loops can find the solution of a combinatorial optimization problem with less trial than that with no loop. However, the theoretical analysis of this type of network have not been sufficient. In this paper, the convergence property of the RNNs with feedback loops is analyzed. For this purpose, the eigenvalue analysis and the stability analysis are used. The eigenvalues of the connection weight matrix yield the macroscopic information about network dynamics. The stability of the network state space gives the microscopic information about the convergence to the vertecies. From these analyses, it is conformed that the convergence property to the quasi-optimal solution is improved by increasing the coefficients for self-feedback loops, which correspond to the diagonal elements of the connection weight matrix. However, it is also conformed that since the quasi-optimal solution is essentially different from the least energy solution, RNNs do not always gurantee the optimal solution. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Recurrent neural network / Self-feedback loops / Combinatorial optimization problem / Convergence property / Eigenvalue analysis / Stability analysis |
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| Conference Information | |
| Committee | NC |
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| Conference Date | 1995/7/27(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| 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) | Convergence Analysis of Recurrent Neural Network with Self-feedback loops |
| Sub Title (in English) | |
| Keyword(1) | Recurrent neural network |
| Keyword(2) | Self-feedback loops |
| Keyword(3) | Combinatorial optimization problem |
| Keyword(4) | Convergence property |
| Keyword(5) | Eigenvalue analysis |
| Keyword(6) | Stability analysis |
| 1st Author's Name | Yoshihiro Tomikawa |
| 1st Author's Affiliation | Graduate School of Natural Sci. & Tech. Kanazawa Univ.() |
| 2nd Author's Name | Kenji Nakayama |
| 2nd Author's Affiliation | Faculty of Eng. Kanazawa Univ. |
| Date | 1995/7/27 |
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| Volume (vol) | vol.95 |
| Number (no) | 189 |
| Page | pp.pp.- |
| #Pages | 8 |
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