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.
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Keyword(in English) Hodgkin-Huxley equations / rate reduction / associative memory / Akaike information criterion
Paper # NC2006-94
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Committee NC
Conference Date 2007/1/18(1days)
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Registration To Neurocomputing (NC)
Language JPN
Title (in Japanese) (See Japanese page)
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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
Date of Issue