Inferential framework for non-stationary dynamics:theory and applications

Duggento, A. and Luchinsky, D. G. and Smelyanskiy, V. N. and McCkintock, P. V. E. (2009) Inferential framework for non-stationary dynamics:theory and applications. Journal of Statistical Mechanics: Theory and Experiment, 2009 (1).

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Abstract

An extended Bayesian inference framework is presented, aiming to infer time-varying parameters in non-stationary nonlinear stochastic dynamical systems. The convergence of the method is discussed. The performance of the technique is studied using, as an example, signal reconstruction for a system of neurons modeled by FitzHugh–Nagumo oscillators: it is applied to reconstruction of the model parameters and elements of the measurement matrix, as well as to inference of the time-varying parameters of the non stationary system. It is shown that the proposed approach is able to reconstruct unmeasured (hidden) variables of the system, to determine the model parameters, to detect stepwise changes of control parameters for each oscillator and to track the continuous evolution of the control parameters in the adiabatic limit.

Item Type: Journal Article
Journal or Publication Title: Journal of Statistical Mechanics: Theory and Experiment
Uncontrolled Keywords: /dk/atira/pure/researchoutput/libraryofcongress/qc
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 31229
Deposited By: Professor P. V. E. McClintock
Deposited On: 07 Jan 2010 09:49
Refereed?: Yes
Published?: Published
Last Modified: 15 Oct 2019 23:27
URI: https://eprints.lancs.ac.uk/id/eprint/31229

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