On regularization methods of EM-Kaczmarz type

Details On regularization methods of EM-Kaczmarz type On regularization methods of EM-Kaczmarz type

2008-10-20

arxiv.org/abs/0810.3619v1

Inverse Problems 25 id. 075008 (17pp) 2009

Mathematics

Numerical Analysis

18 pages, 6 figures; On regularization methods of EM-Kaczmarz type

Scientific paper

We consider regularization methods of Kaczmarz type in connection with the expectation-maximization (EM) algorithm for solving ill-posed equations. For noisy data, our methods are stabilized extensions of the well established ordered-subsets expectation-maximization iteration (OS-EM). We show monotonicity properties of the methods and present a numerical experiment which indicates that the extended OS-EM methods we propose are much faster than the standard EM algorithm.

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