{
  "id": "1910.11080",
  "version": "v1",
  "published": "2019-10-24T13:38:08.000Z",
  "updated": "2019-10-24T13:38:08.000Z",
  "title": "On sample complexity of neural networks",
  "authors": [
    "Alexander Usvyatsov"
  ],
  "categories": [
    "cs.LG",
    "stat.ML"
  ],
  "abstract": "We consider functions defined by deep neural networks as definable objects in an o-miminal expansion of the real field, and derive an almost linear (in the number of weights) bound on sample complexity of such networks.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-24T13:38:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "sample complexity",
      "deep neural networks",
      "o-miminal expansion",
      "real field",
      "definable objects"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}