Presentation | 2007-01-25 Rate reduction for a Hodgkin-Huxley type network model with a Hebbian connection Masafumi OIZUMI, Yoichi MIYAWAKI, Masato OKADA, |
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Abstract(in English) | We proposed a systematic reduction method from a Hodgkin-Huxley type network model to a rate network model according to Shriki et al.'s formulation [1] [2]. However, in the proposed framework, we ad hoc assumed that the threshold and gain of the f-I curve of the Hodgkin-Huxley type conductance-based model have second order dependence on the leak conductance. Here we discuss an optimal model selection with respect to the dependence of the threshold and gain on the f-I curve by making use of Akaike information criterion. We then apply our rate reduction method to the Hodgkin-Huxley type network with a Hebbian connection. We store three correlated patterns in this network and investigate the phase transition between memory state and mixed state. We show that our rate model reproduce the results of the Hodgkin-Huxley type network very well. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | Hodgkin-Huxley equations / rate reduction / associative memory / Akaike information criterion |
Paper # | NC2006-94 |
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Committee | NC |
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Conference Date | 2007/1/18(1days) |
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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) | Rate reduction for a Hodgkin-Huxley type network model with a Hebbian connection |
Sub Title (in English) | |
Keyword(1) | Hodgkin-Huxley equations |
Keyword(2) | rate reduction |
Keyword(3) | associative memory |
Keyword(4) | Akaike information criterion |
1st Author's Name | Masafumi OIZUMI |
1st Author's Affiliation | Graduate School of Frontier Sciences, The University of Tokyo() |
2nd Author's Name | Yoichi MIYAWAKI |
2nd Author's Affiliation | NICT:ATR Computational Neuroscience Laboratories:RIKEN Brain Science Institute |
3rd Author's Name | Masato OKADA |
3rd Author's Affiliation | Graduate School of Frontier Sciences, The University of Tokyo:RIKEN Brain Science Institute |
Date | 2007-01-25 |
Paper # | NC2006-94 |
Volume (vol) | vol.106 |
Number (no) | 500 |
Page | pp.pp.- |
#Pages | 6 |
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