{
  "id": "0810.3619",
  "version": "v1",
  "published": "2008-10-20T17:47:12.000Z",
  "updated": "2008-10-20T17:47:12.000Z",
  "title": "On regularization methods of EM-Kaczmarz type",
  "authors": [
    "Markus Haltmeier",
    "Antonio Leitao",
    "Elena Resmerita"
  ],
  "comment": "18 pages, 6 figures; On regularization methods of EM-Kaczmarz type",
  "journal": "Inverse Problems 25 id. 075008 (17pp) 2009",
  "categories": [
    "math.NA"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-20T17:47:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "regularization methods",
      "em-kaczmarz type",
      "standard em algorithm",
      "established ordered-subsets expectation-maximization iteration",
      "extended os-em methods"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009InvPr..25g5008H"
    }
  }
}