{
  "id": "2408.07182",
  "version": "v1",
  "published": "2024-08-13T19:50:36.000Z",
  "updated": "2024-08-13T19:50:36.000Z",
  "title": "Proximal random reshuffling under local Lipschitz continuity",
  "authors": [
    "Cedric Josz",
    "Lexiao Lai",
    "Xiaopeng Li"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "We study proximal random reshuffling for minimizing the sum of locally Lipschitz functions and a proper lower semicontinuous convex function without assuming coercivity or the existence of limit points. The algorithmic guarantees pertaining to near approximate stationarity rely on a new tracking lemma linking the iterates to trajectories of conservative fields. One of the novelties in the analysis consists in handling conservative fields with unbounded values.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-13T19:50:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local lipschitz continuity",
      "proper lower semicontinuous convex function",
      "conservative fields",
      "lipschitz functions",
      "study proximal random reshuffling"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}