{
  "id": "1109.0165",
  "version": "v1",
  "published": "2011-09-01T12:06:58.000Z",
  "updated": "2011-09-01T12:06:58.000Z",
  "title": "Increasing the attraction area of the global minimum in the binary optimization problem",
  "authors": [
    "Iakov Karandashev",
    "Boris Kryzhanovsky"
  ],
  "comment": "10 pages, 8 figures, 4 tables",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "The problem of binary minimization of a quadratic functional in the configuration space is discussed. In order to increase the efficiency of the random-search algorithm it is proposed to change the energy functional by raising to a power the matrix it is based on. We demonstrate that this brings about changes of the energy surface: deep minima displace slightly in the space and become still deeper and their attraction areas grow significantly. Experiments show that this approach results in a considerable displacement of the spectrum of the sought-for minima to the area of greater depth, and the probability of finding the global minimum increases abruptly (by a factor of 10^3 in the case of the 10-by-10 Edwards-Anderson spin glass).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-09-01T12:06:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "binary optimization problem",
      "edwards-anderson spin glass",
      "attraction areas grow",
      "deep minima displace",
      "functional"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.0165K"
    }
  }
}