Publication result detail

A multi-mode cantilever singular point detection using adaptive hypothesis testing

DOKOUPIL, J.; VÁCLAVEK, P.

Original Title

A multi-mode cantilever singular point detection using adaptive hypothesis testing

English Title

A multi-mode cantilever singular point detection using adaptive hypothesis testing

Type

WoS Article

Original Abstract

Fundamental analysis of a multi-mode model of the atomic force microscope cantilever shows that at some points; called here singular points, the mode is vanished. Consequently, the order of the input/output behavior is reduced. The singular points can be detected comparing possible candidates on the best model order. The detection is then naturally performed by applying the Bayesian model comparison. Since the exact position of the singular points is not available a priori, an explicit model of updating the probability of tested hypotheses in time is built. More specifically, a mechanism of suppressing absolute information is suggested based on the Bayesian decision problem where the Kullback-Leibler divergence is used.

English abstract

Fundamental analysis of a multi-mode model of the atomic force microscope cantilever shows that at some points; called here singular points, the mode is vanished. Consequently, the order of the input/output behavior is reduced. The singular points can be detected comparing possible candidates on the best model order. The detection is then naturally performed by applying the Bayesian model comparison. Since the exact position of the singular points is not available a priori, an explicit model of updating the probability of tested hypotheses in time is built. More specifically, a mechanism of suppressing absolute information is suggested based on the Bayesian decision problem where the Kullback-Leibler divergence is used.

Keywords

hypothesis testing, Bayesian methods, adaptive systems

Key words in English

hypothesis testing, Bayesian methods, adaptive systems

Authors

DOKOUPIL, J.; VÁCLAVEK, P.

RIV year

2016

Released

05.10.2015

Publisher

IOP Publishing

ISBN

1742-6588

Book

Journal of Physics: Conference Series

ISBN

1742-6588

Periodical

Journal of Physics: Conference Series

Volume

633

Number

1

State

United Kingdom of Great Britain and Northern Ireland

Pages from

1

Pages to

4

Pages count

4

URL

http://iopscience.iop.org/article/10.1088/1742-6596/633/1/012057

Full text in the Digital Library

http://hdl.handle.net/11012/137102

BibTex

@article{BUT117760,
  author="Jakub {Dokoupil} and Pavel {Václavek}",
  title="A multi-mode cantilever singular point detection using adaptive hypothesis testing",
  journal="Journal of Physics: Conference Series",
  year="2015",
  volume="633",
  number="1",
  pages="1--4",
  doi="10.1088/1742-6596/633/1/012057",
  issn="1742-6588",
  url="http://iopscience.iop.org/article/10.1088/1742-6596/633/1/012057"
}

Documents

Dokoupil_2015_J._Phys.__Conf._Ser._633_012057