Perturbation Monte Carlo Methods for the Solution of Inverse Problems

Carole K. Hayakawa () and Jerome Spanier ()
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Carole K. Hayakawa: Claremont Research Institute for Applied Mathematical Sciences
Jerome Spanier: Claremont Research Institute for Applied Mathematical Sciences

A chapter in Monte Carlo and Quasi-Monte Carlo Methods 2002, 2004, pp 227-241 from Springer

Abstract: Summary We present a computational method that utilizes perturbation Monte Carlo and differential Monte Carlo methods, together with a nonlinear optimization algorithm, to solve inverse problems. Although motivated by biomedical applications, the solution method is quite general and can be applied to inverse problems in other fields. Each such problem involves the use of some form of radiation to probe and identify subtle changes in a complex physical system that is modelled by transport theory.

Keywords: Inverse Problem; Forward Problem; Random Walk Process; Scatter Phase Function; Terminal Estimator (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18743-8_13

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DOI: 10.1007/978-3-642-18743-8_13

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