Recovering ‘lost’ information in the presence of noise: application to rodent–predator dynamics.

Smelyanskiy, V. N. and Luchinsky, D. G. and Millonas, M. M. and McClintock, P. V. E. (2009) Recovering ‘lost’ information in the presence of noise: application to rodent–predator dynamics. New Journal of Physics, 11, 05. ISSN 1367-2630

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Abstract

A Hamiltonian approach is introduced for the reconstruction of trajectories and models of complex stochastic dynamics from noisy measurements. The method converges even when entire trajectory components are unobservable and the parameters are unknown. It is applied to reconstruct nonlinear models of rodent–predator oscillations in Finnish Lapland and high-Arctic tundra. The projected character of noisy incomplete measurements is revealed and shown to result in a degeneracy of the likelihood function within certain null-spaces. The performance of the method is compared with that of the conventional Markov chain Monte Carlo (MCMC) technique.

Item Type:
Journal Article
Journal or Publication Title:
New Journal of Physics
Additional Information:
This is an open-access item
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/qc
Subjects:
ID Code:
31239
Deposited On:
07 Jan 2010 09:15
Refereed?:
Yes
Published?:
Published
Last Modified:
30 Oct 2020 01:13