{
  "id": "1204.5375",
  "version": "v2",
  "published": "2012-04-24T13:39:55.000Z",
  "updated": "2012-08-10T14:28:23.000Z",
  "title": "Mean-field theory for the inverse Ising problem at low temperatures",
  "authors": [
    "H. Chau Nguyen",
    "Johannes Berg"
  ],
  "journal": "Phys. Rev. Lett. 109, 050602 (2012)",
  "doi": "10.1103/PhysRevLett.109.050602",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech",
    "q-bio.QM"
  ],
  "abstract": "The large amounts of data from molecular biology and neuroscience have lead to a renewed interest in the inverse Ising problem: how to reconstruct parameters of the Ising model (couplings between spins and external fields) from a number of spin configurations sampled from the Boltzmann measure. To invert the relationship between model parameters and observables (magnetisations and correlations) mean-field approximations are often used, allowing to determine model parameters from data. However, all known mean-field methods fail at low temperatures with the emergence of multiple thermodynamic states. Here we show how clustering spin configurations can approximate these thermodynamic states, and how mean-field methods applied to thermodynamic states allow an efficient reconstruction of Ising models also at low temperatures.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-08-10T14:28:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "inverse ising problem",
      "low temperatures",
      "mean-field theory",
      "spin configurations",
      "mean-field methods fail"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.5375C"
    }
  }
}