{
  "id": "2009.04324",
  "version": "v1",
  "published": "2020-09-09T14:28:54.000Z",
  "updated": "2020-09-09T14:28:54.000Z",
  "title": "Consistency and Regression with Laplacian regularization in Reproducing Kernel Hilbert Space",
  "authors": [
    "Cabannes Vivien"
  ],
  "comment": "Technical note",
  "categories": [
    "stat.ML",
    "cs.LG"
  ],
  "abstract": "This note explains a way to look at reproducing kernel Hilbert space for regression problems. It consists in expressing kernel regresssion solutions with simple integral operators algebra, which one can approximate consistently from empirical data, providing the corresponding estimators of the solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-09T14:28:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "reproducing kernel hilbert space",
      "laplacian regularization",
      "regression",
      "simple integral operators algebra",
      "consistency"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}