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Inference of stochastic nonlinear oscillators with applications to physiological problems

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Inference of stochastic nonlinear oscillators with applications to physiological problems. / Smelyanskiy, Vadim N.; Luchinsky, Dmitry G.
In: Proceedings of SPIE - The International Society for Optical Engineering, Vol. 5471, 13.09.2004, p. 344-354.

Research output: Contribution to Journal/Magazine › Conference article › peer-review

Harvard

Smelyanskiy, VN & Luchinsky, DG 2004, 'Inference of stochastic nonlinear oscillators with applications to physiological problems', Proceedings of SPIE - The International Society for Optical Engineering, vol. 5471, pp. 344-354. https://doi.org/10.1117/12.546875

APA

Smelyanskiy, V. N., & Luchinsky, D. G. (2004). Inference of stochastic nonlinear oscillators with applications to physiological problems. Proceedings of SPIE - The International Society for Optical Engineering, 5471, 344-354. https://doi.org/10.1117/12.546875

Vancouver

Smelyanskiy VN, Luchinsky DG. Inference of stochastic nonlinear oscillators with applications to physiological problems. Proceedings of SPIE - The International Society for Optical Engineering. 2004 Sept 13;5471:344-354. doi: 10.1117/12.546875

Author

Smelyanskiy, Vadim N. ; Luchinsky, Dmitry G. / Inference of stochastic nonlinear oscillators with applications to physiological problems. In: Proceedings of SPIE - The International Society for Optical Engineering. 2004 ; Vol. 5471. pp. 344-354.

Bibtex

@article{ce9cdb9f26f74069a6557aad38fbaffd,
title = "Inference of stochastic nonlinear oscillators with applications to physiological problems",
abstract = "A new method of inferencing of coupled stochastic nonlinear oscillators is described. The technique does not require extensive global optimization, provides optimal compensation for noise-induced errors and is robust in a broad range of dynamical models. We illustrate the main ideas of the technique by inferencing a model of five globally and locally coupled noisy oscillators. Specific modifications of the technique for inferencing hidden degrees of freedom of coupled nonlinear oscillators is discussed in the context of physiological applications.",
keywords = "Cardio-respiratory interaction, Chaotic dynamics, Inference, Time-series analysis",
author = "Smelyanskiy, {Vadim N.} and Luchinsky, {Dmitry G.}",
year = "2004",
month = sep,
day = "13",
doi = "10.1117/12.546875",
language = "English",
volume = "5471",
pages = "344--354",
journal = "Proceedings of SPIE - The International Society for Optical Engineering",
issn = "0277-786X",
publisher = "SPIE",
note = "Noise in Complex Systems and Stochastic Dynamics II ; Conference date: 26-05-2004 Through 28-05-2004",

}

RIS

TY - JOUR

T1 - Inference of stochastic nonlinear oscillators with applications to physiological problems

AU - Smelyanskiy, Vadim N.

AU - Luchinsky, Dmitry G.

PY - 2004/9/13

Y1 - 2004/9/13

N2 - A new method of inferencing of coupled stochastic nonlinear oscillators is described. The technique does not require extensive global optimization, provides optimal compensation for noise-induced errors and is robust in a broad range of dynamical models. We illustrate the main ideas of the technique by inferencing a model of five globally and locally coupled noisy oscillators. Specific modifications of the technique for inferencing hidden degrees of freedom of coupled nonlinear oscillators is discussed in the context of physiological applications.

AB - A new method of inferencing of coupled stochastic nonlinear oscillators is described. The technique does not require extensive global optimization, provides optimal compensation for noise-induced errors and is robust in a broad range of dynamical models. We illustrate the main ideas of the technique by inferencing a model of five globally and locally coupled noisy oscillators. Specific modifications of the technique for inferencing hidden degrees of freedom of coupled nonlinear oscillators is discussed in the context of physiological applications.

KW - Cardio-respiratory interaction

KW - Chaotic dynamics

KW - Inference

KW - Time-series analysis

U2 - 10.1117/12.546875

DO - 10.1117/12.546875

M3 - Conference article

AN - SCOPUS:4344704484

VL - 5471

SP - 344

EP - 354

JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

SN - 0277-786X

T2 - Noise in Complex Systems and Stochastic Dynamics II

Y2 - 26 May 2004 through 28 May 2004

ER -