Presentation 2012-01-26
Critical phenomena in mean-field Ising models and time-series prediction
Shunsuke HIGANO, Jun-ichi INOUE,
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Abstract(in English) We propose a theoretical framework to predict several time-series simultaneously by using cross-correlations in financial markets. Our model system is basically described by a variant of the Ising model introduced by Kaizouji (2000). In this paper, we shall first revisit his model and investigate the coupled non-linear dynamics with respect to system-parameters (which are very similar to hyper-parameters in the context of Bayesian statics) and microscopic spins much more extensively. We actually confirm that at financial crisis observed in EUR/JPY exchange rate from April 27^ 2010 to May 13^ 2010, the system-parameters move to the critical point at which phase transition in the corresponding Ising model takes place. We next evaluate the validity of our modification with the assistance of information about cross-correlations in stocks and find from our (still limited) results that the simultaneous prediction 'partially' succeeded in improving the prediction performance.
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Keyword(in English) Mean-field Ising model / Critical phenomena and phase transition / Time-series prediction / Data analysis / Macroscopic variable estimation / Econophysics
Paper # NC2011-108
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Conference Information
Committee NC
Conference Date 2012/1/19(1days)
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Paper Information
Registration To Neurocomputing (NC)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Critical phenomena in mean-field Ising models and time-series prediction
Sub Title (in English)
Keyword(1) Mean-field Ising model
Keyword(2) Critical phenomena and phase transition
Keyword(3) Time-series prediction
Keyword(4) Data analysis
Keyword(5) Macroscopic variable estimation
Keyword(6) Econophysics
1st Author's Name Shunsuke HIGANO
1st Author's Affiliation Graduate School of Information Science and Technology, Hokkaido University()
2nd Author's Name Jun-ichi INOUE
2nd Author's Affiliation Graduate School of Information Science and Technology, Hokkaido University
Date 2012-01-26
Paper # NC2011-108
Volume (vol) vol.111
Number (no) 419
Page pp.pp.-
#Pages 6
Date of Issue