{
  "id": "1212.2012",
  "version": "v2",
  "published": "2012-12-10T10:03:16.000Z",
  "updated": "2013-02-19T04:05:47.000Z",
  "title": "A Note on Matrix Concentration Inequalities via the Method of Exchangeable Pairs",
  "authors": [
    "Daniel Paulin"
  ],
  "comment": "12 pages",
  "categories": [
    "math.PR",
    "math.FA"
  ],
  "abstract": "The aim of this paper is to prove an improved version of the bounded differences inequality for matrix valued functions, by developing the methods of Mackey et al.: \"Matrix Concentration Inequalities via the Method of Exchangeable Pairs\". Along the way, we prove new trace inequalities for the matrix exponential.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-02-19T04:05:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E15",
      "60B20",
      "15A42",
      "15A45"
    ],
    "keywords": [
      "matrix concentration inequalities",
      "exchangeable pairs",
      "bounded differences inequality",
      "matrix valued functions",
      "trace inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.2012P"
    }
  }
}