{
  "annotation_id": "2e3378a2-55eb-470c-acb2-787074981a99",
  "date_created": "2026-03-02T18:00:39.706000Z",
  "date_modified": "2026-03-02T18:00:39.706000Z",
  "file_hash": "d7208cc7ddc7169deb773a6b89bb5e27b99435667fb283dcc54b833af49ce78c",
  "private": false,
  "record": {
    "abstract": "We examine the relationship between the Bayesian and information-theoretic\nformulations of source separation algorithms. This work makes use of the\nrelationship between the work of Claude E. Shannon and the \"Recent\nContributions\" by Warren Weaver (Shannon \u0026 Weaver 1949) as clarified by Richard\nT. Cox (1979) and expounded upon by Robert L. Fry (1996) as a duality between a\nlogic of assertions and a logic of questions. Working with the logic of\nassertions requires the use of probability as a measure of degree of\nimplication. This leads to a Bayesian formulation of the problem. Whereas,\nworking with the logic of questions requires the use of entropy as a measure of\nthe bearing of a question on an issue leading to an information-theoretic\nformulation of the problem.",
    "arxiv_id": "physics/0204075",
    "authors": [
      "Kevin H. Knuth"
    ],
    "categories": [
      "physics.data-an",
      "physics.ins-det",
      "physics.med-ph"
    ],
    "title": "Source separation as an exercise in logical induction",
    "url": "https://arxiv.org/abs/physics/0204075"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "49705ee7-2ad0-45fb-8be5-97006945f681",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}