{
  "id": "1703.10457",
  "version": "v1",
  "published": "2017-03-30T13:16:16.000Z",
  "updated": "2017-03-30T13:16:16.000Z",
  "title": "The entropic regularization of the Monge problem on the real line",
  "authors": [
    "Simone Di Marino",
    "Jean Louet"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "We study the entropic regularization of the optimal transport problem in dimension 1 when the cost function is the distance c(x, y) = |y -- x|. The selected plan at the limit is, among those which are optimal for the non-penalized problem, the most \"diffuse\" one on the zones where it may have a density.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-30T13:16:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "entropic regularization",
      "monge problem",
      "real line",
      "optimal transport problem",
      "cost function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}