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MRI magnet design: search space analysis, EDAs and a real-world problem with significant dependencies

Published: 25 June 2005 Publication History

Abstract

This paper introduces the design of superconductive magnet configurations in Magnetic Resonance Imaging (MRI) systems as a challenging real-world problem for Evolutionary Algorithms (EAs). Analysis of the problem structure is conducted using a general statistical method, which could be easily applied to other problems. The results suggest that the problem is highly multimodal and likely to present a significant challenge for many algorithms. Through a series of preliminary experiments, a continuous Estimation of Distribution Algorithm (EDA) is shown to be able to generate promising designs with a small computational effort. The importance of utilizing problem-specific knowledge and the ability of an algorithm to capture dependencies in solving complex real-world problems is also highlighted.

References

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Ansorge, R.E., Carpenter, T.A., Hall, L.D., Shaw, N.R. and Williams, G.B. Use of Parallel Supercomputing to Design Magnetic Resonance Systems. IEEE Transactions on Applied Superconductivity, 10, 1 (2000), 1368--1371.
[2]
Bäck, T. Evolutionary algorithms in theory and practice. Oxford University Press, New York, 1996.
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Caruana, R. and Mullin, M. Estimating the Number of Local Minima in Big, Nasty Search Spaces. In Proceedings of IJCAI-99 Workshop on Statistical Machine Learning for Large-Scale Optimization, 1999.
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Crozier, S. and Doddrell, D.M. Compact MRI Magnet Design by Stochastic Optimization. Journal of Magnetic Resonance, 127, 2 (1997), 233--237.
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Eremeev, A. and Reeves, C.R. Non-parametric Estimation of Properties of Combinatorial Landscapes. In Proceedings of EvoWorkshops 2002, 2002, 31--40.
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Eremeev, A.V. and Reeves, C.R. On Confidence Intervals for the Number of Local Optima. In Proceedings of EvoWorkshops 2003, 2003, 224--235.
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Forbes, L.K., Crozier, S. and Doddrell, D.M. Rapid Computation of Static Fields Produced by Thick Circular Solenoids. IEEE Transactions on Magnetics, 33, 5 (1997), 4405--4410.
[8]
Larrañaga, P. and Lozano, J.A. (eds.) Estimation of Distribution Algorithms: A New Tool for Evolutionary Computation. Kluwer Academic Publishers, 2001.
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Paul, T.K. and Iba, H. Real-Coded Estimation of Distribution Algorithm. In Proceedings of The Fifth Metaheuristics International Conference, 2003.
[10]
Shaw, N.R. and Ansorge, R.E. Genetic Algorithms for MRI Magnet Design. IEEE Transactions on Applied Superconductivity, 12, 1 (2002), 733--736.

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  1. MRI magnet design: search space analysis, EDAs and a real-world problem with significant dependencies

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    cover image ACM Conferences
    GECCO '05: Proceedings of the 7th annual conference on Genetic and evolutionary computation
    June 2005
    2272 pages
    ISBN:1595930108
    DOI:10.1145/1068009
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    Published: 25 June 2005

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    Author Tags

    1. EDAs
    2. MRI
    3. real-world problem

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