Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
第45回ISCIE「確率システム理論と応用」国際シンポジウム(2013年11月, 沖縄)
Parameter Estimation of Mixture PDF Model for Mobile Robots by EM Algorithm
Masahiro TanakaMasahiro WadaTomohiro UmetaniMinoru Ito
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ジャーナル フリー

2014 年 2014 巻 p. 381-388

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抄録
The authors have been developing an autonomous mobile robot system to be used in the campus of universities. Our robot software adheres stochastic models, where the probability density function is a mixture of several basic distributions. It is well-known that Expectation-Maximization (EM) algorithm is useful for the identification of Gaussian mixture distribution. We apply EM algorithm for our mixture model consisting of Gaussian distribution, two Exponential distributions, delta distribution and a uniform distribution. In the experimental study, we will show some Monte Carlo simulation results for several cases so that this algorithm is shown to be useful for this mixture distribution model. Next, we will apply our algorithm to real data. Finally the parameter values obtained in our algorithm will be applied to the state estimation problem. The usefulness of this algorithm will be discussed.
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© 2014 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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