{
  "annotation_id": "80faecba-5049-4f4d-913d-616a2e087f46",
  "date_created": "2026-02-17T05:53:11.942000Z",
  "date_modified": "2026-02-17T05:53:11.942000Z",
  "file_hash": "e9f613a7522a8639ecdd7a05e90fcedd1b62efe92cb48ff96418c49a22558bf1",
  "private": false,
  "record": {
    "abstract": "We show that any stochastic differential equation with prescribed time-dependent marginal distributions admits a decomposition into three components: a unique scalar field governing marginal evolution, a symmetric positive-semidefinite diffusion matrix field and a skew-symmetric matrix field.",
    "arxiv_id": "2601.07834",
    "authors": [
      "Samuel Duffield"
    ],
    "categories": [
      "math.PR",
      "cs.LG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "A Complete Decomposition of Stochastic Differential Equations",
    "url": "https://arxiv.org/abs/2601.07834",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9a55f9d5-ebfe-47e5-b55b-53566ab37ac4",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}