{
  "annotation_id": "44a69232-78d8-435e-b367-67eff72d4c14",
  "date_created": "2026-03-02T18:01:04.233000Z",
  "date_modified": "2026-03-02T18:01:04.233000Z",
  "file_hash": "d98696a389e84c1bcbabd87bbc52532122ee9fafced24754a036914322a245fc",
  "private": false,
  "record": {
    "abstract": "Ranking a set of objects from the most dominant one to the least, based on\nthe results of paired comparisons, proves to be useful in many contexts. Using\nthe rankings of teams or individuals players in sports to seed tournaments is\nan example. The quality of a ranking is often evaluated by the number of\nviolations, cases in which an object is ranked lower than another that it has\ndominated in a comparison, that it contains. A minimum violations ranking (MVR)\nmethod, as its name suggests, searches specifically for rankings that have the\nminimum possible number of violations which may or may not be zero. In this\npaper, we present a method based on statistical physics that overcomes\nconceptual and practical difficulties faced by earlier studies of the problem.",
    "arxiv_id": "physics/0510242",
    "authors": [
      "Juyong Park"
    ],
    "categories": [
      "physics.soc-ph",
      "cond-mat.dis-nn",
      "cond-mat.stat-mech",
      "physics.data-an"
    ],
    "doi": "10.1088/1742-5468/2010/04/P04006",
    "title": "On Minimum Violations Ranking in Paired Comparisons",
    "url": "https://arxiv.org/abs/physics/0510242"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8e0a4f84-baf1-493b-bd51-374338470d07",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}