A hybrid inversion scheme of Markov-chain Monte Carlo and iterative methods for diffuse optical tomography

Y. Jiang; M. Machida; Gen Nakamura

Corpus ID: 119467069

A hybrid inversion scheme of Markov-chain Monte Carlo and iterative methods for diffuse optical tomography

@article{Jiang2018AHI,
  title={A hybrid inversion scheme of Markov-chain Monte Carlo and iterative methods for diffuse optical tomography},
  author={Y. Jiang and M. Machida and Gen Nakamura},
  journal={arXiv: Computational Physics},
  year={2018}
}

Y. Jiang, M. Machida, Gen Nakamura

Published 2018

Mathematics, Physics

arXiv: Computational Physics

Diffuse optical tomography is formulated as inverse coefficient problems for the diffusion equation. Iterative inversion schemes such as the Levenberg-Marquardt algorithm are known to fail when initial guesses are not close to the true value of the coefficient to be reconstructed. In this paper, we investigate how this weakness of iterative schemes is overcome by the use of Monte Carlo. We present a toy model of diffuse optical tomography for which the Levenberg-Marquardt algorithm fails to… CONTINUE READING

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