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Sufficient conditions for the convergence of nonautonomous stochastic search for a global minimum

Publication date: 05.06.2012

Universitatis Iagellonicae Acta Mathematica, 2011, Volume 49, pp. 73-83

https://doi.org/10.4467/20843828AM.12.005.0457

Authors

Dawid Tarłowski
Institute of Mathematics, Jagiellonian University, Cracow, Poland
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Titles

Sufficient conditions for the convergence of nonautonomous stochastic search for a global minimum

Abstract

The majority of stochastic optimization algorithms can be written in the general form xt+1 = Tt(xt; yt), where xt is a sequence of points and parameters which are transformed by the algorithm, Tt are the methods of the algorithm and yt represent the randomness of the algorithm. We extend the results of papers [11] and [14] to provide some new general conditions under which the algorithm finds a global minimum with probability one.

References

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Information

Information: Universitatis Iagellonicae Acta Mathematica, 2011, Volume 49, pp. 73-83

Article type: Original article

Titles:

English:

Sufficient conditions for the convergence of nonautonomous stochastic search for a global minimum

Polish:

Sufficient conditions for the convergence of nonautonomous stochastic search for a global minimum

Authors

Institute of Mathematics, Jagiellonian University, Cracow, Poland

Published at: 05.06.2012

Article status: Open

Licence: None

Percentage share of authors:

Dawid Tarłowski (Author) - 100%

Article corrections:

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Publication languages:

English