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2017-02-08
Efficient Bayesian Multifidelity Approach in Metamodeling of an Electromagnetic Simulator Response
By
Progress In Electromagnetics Research M, Vol. 54, 47-54, 2017
Abstract
Several computer codes with varying accuracy from rigorous full-wave methods (highfidelity models) to less accurate Transmission Line (TL) approaches (low-fidelity model) have been proposed to solve EMC problems of interference between parasitic waves and wired communication systems. For solving engineering tasks, with a limited computational budget, we need to build surrogate models of high-fidelity (HF) computer codes. However, one of their main limitations is their expensive computational time. Rather than using only the computationally costly HF simulations, we apply another type of surrogate models, called Multifidelity (MF) metamodel which efficiently combines, within a Bayesian framework, high and low-fidelity (LF) evaluations to speed up the surrogate model building. The numerical results of combination of an expensive EMC simulator and a cheap TL code to solve a plane wave illumination problem, show that, compared to Kriging, a reliable Bayesian MF metamodel of equivalent or higher predictivity can be obtained within less simulation time.
Citation
Tarek Bdour, Christopher Guiffaut, and Alain Reineix, "Efficient Bayesian Multifidelity Approach in Metamodeling of an Electromagnetic Simulator Response," Progress In Electromagnetics Research M, Vol. 54, 47-54, 2017.
doi:10.2528/PIERM16120103
References

1. Tesche, F., M. Ianoz, and T. Karlsson, EMC Analysis Methods and Computational Models, John Wiley & Sons, New York, 1997.

2. Burke, G. J. and A. J. Poggio, "Numerical Electromagnetic Code (NEC)-method of moments," Technical Report, Naval Ocean Systems Center, San Diego, 1981.

3. Bandler, J., R. Biernacki, S. Chen, P. Grobelny, and R. Hemmers, "Space mapping technique for electromagnetic optimization," IEEE Transactions on Microwave Theory and Techniques, Vol. 42, No. 12, 2536-2544, Dec. 1994.
doi:10.1109/22.339794

4. Koziel, S. and J. W. Bandler, "Space-mapping modelling of microwave devices using multifidelity electromagnetic simulations," IET Microwaves, Antennas & Propagation, Vol. 5, No. 3, 324-333, Feb. 2011.
doi:10.1049/iet-map.2010.0058

5. Krige, D. G., "A statistical approach to some mine valuations problems at the Witwatersrand," Journal of the Chemical, Metallurgical and Mining Society of South Africa, Vol. 52, 119-139, 1951.

6. Lophaven, S. N., H. B. Nielsen, and J. Søndergaard, "Aspects of the Matlab Toolbox DACE,", Report IMM-REP-2002-13, Informatics and Mathematical Modelling, DTU, 44 pages, 2002.

7. Kennedy, M. C. and A. O'Hagan, "Predicting the output of a complex computer code when fast approximations are available," Biometrika, Vol. 87, No. 1, 1-13, 2000.
doi:10.1093/biomet/87.1.1

8. Forrester, A. I. J., A. Sobester, and A. J. Keane, "Multifidelity optimization via surrogate modelling," Journal of Mechanical Engineering Science, Vol. 463, 2115-2137, 2007.

9. Bradley, P. J., "A multifidelity based adaptive sampling optimisation approach for the rapid design of double-negative metamaterials," Progress In Electromagnetics Research B, Vol. 55, 87-114, 2013.
doi:10.2528/PIERB13071003

10. Le Gratiet, L., "Bayesian analysis of hierarchical multifidelity codes," SIAM/ASA J. Uncertainty Quantification, Vol. 1, No. 1, 244-269, 2013.
doi:10.1137/120884122

11. Lugrin, G., N. Mora, F. Rachidi, and S. Tkachenko, "Electromagnetic field coupling to transmission lines: A model for the risers," 2016 Asia-Pacific International Symposium on Electromagnetic Compatibility (APEMC), 174-176, Shenzhen, 2016.
doi:10.1109/APEMC.2016.7523000

12. Sacks, J., W. J. Welch, T. J. Mitchell, and H. P. Wynn, "Design and analysis of computer experiments," Statistical Science, Vol. 4, No. 4, 409-435, 1989.
doi:10.1214/ss/1177012413

13. Jacobs, J. P., S. Koziel, and S. Ogurtsov, "Computationally efficient multi-fidelity Bayesian support vector regression modeling of planar antenna input characteristics," IEEE Transactions on Antennas and Propagation, Vol. 61, No. 2, 980-984, Feb. 2013.
doi:10.1109/TAP.2012.2220513