# TERMINATION OF SIMULATED ANNEALING ALGORITHM SOLVING SEMI-SUPERVISED LINEAR SVMS PROBLEMS

### Vaida Bartkute-Norkuniene

#### Abstract

In creating heuristic search algorithms one has to deal with the practical problem of terminating and optimality testing. To solve these problems, we can use information gained from the set of the best function values (order statistics) provided during optimization. In this paper, we consider the application of order statistics to establish the optimality in heuristic optimization algorithms and to stop the Simulated Annealing algorithm when the confidence interval of the minimum becomes less than admissible value. The accuracy of the solution achieved during optimization and the termination criterion of the algorithm are introduced in a statistical way. We build a method for the estimation of confidence intervals of the minimum using order statistics, which is implemented for optimality testing and terminating in Simulated Annealing algorithm. A termination criterion - length of the confidence interval of the extreme value of the objective function - is introduced. The efficiency of this approach is discussed using the results of computer modelling. One test function and two semi-supervised SVMs linear classification problems illustrate the applicability of the method proposed.

#### References

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#### Paper Citation

#### in Harvard Style

Bartkute-Norkuniene V. (2012). **TERMINATION OF SIMULATED ANNEALING ALGORITHM SOLVING SEMI-SUPERVISED LINEAR SVMS PROBLEMS** . In *Proceedings of the 1st International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,* ISBN 978-989-8425-97-3, pages 150-156. DOI: 10.5220/0003759301500156

#### in Bibtex Style

@conference{icores12,

author={Vaida Bartkute-Norkuniene},

title={TERMINATION OF SIMULATED ANNEALING ALGORITHM SOLVING SEMI-SUPERVISED LINEAR SVMS PROBLEMS},

booktitle={Proceedings of the 1st International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,},

year={2012},

pages={150-156},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0003759301500156},

isbn={978-989-8425-97-3},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 1st International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,

TI - TERMINATION OF SIMULATED ANNEALING ALGORITHM SOLVING SEMI-SUPERVISED LINEAR SVMS PROBLEMS

SN - 978-989-8425-97-3

AU - Bartkute-Norkuniene V.

PY - 2012

SP - 150

EP - 156

DO - 10.5220/0003759301500156