{
  "annotation_id": "69aa7850-ced8-46af-a510-c8fa4d54bbba",
  "date_created": "2026-02-17T05:53:12.008000Z",
  "date_modified": "2026-02-17T05:53:12.008000Z",
  "file_hash": "4f87900d7e74aa80a4cc2e30b1a7945c01f30a6590f7c7eccab88d36a2c11d0f",
  "private": false,
  "record": {
    "abstract": "In this paper, we study rate-distortion theory for general sources with an emphasis on the existence of optimal reconstruction distributions. Classical existence results rely on compactness assumptions with continuous distortion that are often violated in general settings. By introducing the concentration-compactness principle into the analysis of the rate-distortion functional, we establish the existence of optimal reconstructions under mild coercivity and lower semi-continuity conditions on the distortion function. Our results provide a unified and transparent existence theorem for rate-distortion problems with lower semi-continuous distortion.",
    "arxiv_id": "2601.07246",
    "authors": [
      "Jiayang Zou",
      "Luyao Fan",
      "Jiayang Gao",
      "Jia Wang"
    ],
    "categories": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Rate-distortion Theory with Lower Semi-continuous Distortion: A Concentration-compactness Approach",
    "url": "https://arxiv.org/abs/2601.07246",
    "version": "v2"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7c1ce84b-8912-42b1-8694-943324457d99",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}