# Global Optimization with Gaussian Regression Under the Finite Number of Evaluation

### Naoya Takimoto, Hiroshi Morita

#### Abstract

Computer experiments are black-box functions that are expensive to evaluate. One solution to expensive black-box optimization is Bayesian optimization with Gaussian processes. This approach is popularly used in this challenge, and it is efficient when the number of evaluations is limited by cost and time constraints, which is generally true in practice. This paper discusses an optimization method with two acquisition functions. Our new method improves the efficiency of global optimization when the number of evaluations is strictly limited.

#### References

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#### Paper Citation

#### in Harvard Style

Takimoto N. and Morita H. (2015). **Global Optimization with Gaussian Regression Under the Finite Number of Evaluation** . In *Proceedings of the 5th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH,* ISBN 978-989-758-120-5, pages 192-198. DOI: 10.5220/0005559701920198

#### in Bibtex Style

@conference{simultech15,

author={Naoya Takimoto and Hiroshi Morita},

title={Global Optimization with Gaussian Regression Under the Finite Number of Evaluation},

booktitle={Proceedings of the 5th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH,},

year={2015},

pages={192-198},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0005559701920198},

isbn={978-989-758-120-5},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 5th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH,

TI - Global Optimization with Gaussian Regression Under the Finite Number of Evaluation

SN - 978-989-758-120-5

AU - Takimoto N.

AU - Morita H.

PY - 2015

SP - 192

EP - 198

DO - 10.5220/0005559701920198