{
  "id": "0811.3574",
  "version": "v1",
  "published": "2008-11-21T16:25:04.000Z",
  "updated": "2008-11-21T16:25:04.000Z",
  "title": "Small-correlation expansions for the inverse Ising problem",
  "authors": [
    "Vitor Sessak",
    "Rémi Monasson"
  ],
  "comment": "To appear in J. Phys. A",
  "journal": "J. Phys. A: Math. Theor. 42 (2009) 055001",
  "doi": "10.1088/1751-8113/42/5/055001",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We present a systematic small-correlation expansion to solve the inverse Ising problem: find a set of couplings and fields corresponding to a given set of correlations and magnetizations. Couplings are calculated up to the third order in the correlations for generic magnetizations, and to the seventh order in the case of zero magnetizations; in addition we show how to sum some useful classes of diagrams exactly. The resulting expansion outperforms existing algorithms on the Sherrington-Kirkpatrick spin-glass model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-11-21T16:25:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "inverse ising problem",
      "resulting expansion outperforms existing algorithms",
      "systematic small-correlation expansion",
      "sherrington-kirkpatrick spin-glass model",
      "zero magnetizations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2009,
      "month": "Feb",
      "volume": 42,
      "number": 5,
      "pages": "055001"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009JPhA...42e5001S"
    }
  }
}