{
  "annotation_id": "b56f3e4b-c1f7-4be7-947f-8da69b866354",
  "date_created": "2026-03-02T18:01:34.990000Z",
  "date_modified": "2026-03-02T18:01:34.990000Z",
  "file_hash": "56c314242a2a462320e176a21ae4bb13b772831daadcef5585c7299eae0d4fd7",
  "private": false,
  "record": {
    "abstract": "This research explores the role and representation of network structure for\nLTI Systems. We demonstrate that transfer functions contain no structural\ninformation without more assumptions being made about the system, assumptions\nthat we believe are unreasonable when dealing with truly complex systems. We\nthen introduce Dynamical Structure Functions as an alternative, graphical-model\nbased representation of LTI systems that contain both dynamical and structural\ninformation of the system. We use Dynamical Structure to prove necessary and\nsufficient conditions for estimating structure from data, and demonstrate, for\nexample, the danger of attempting to use steady-state information to estimate\nnetwork structure.",
    "arxiv_id": "q-bio/0610008",
    "authors": [
      "Jorge Goncalves",
      "Sean Warnick"
    ],
    "categories": [
      "q-bio.MN",
      "q-bio.OT"
    ],
    "title": "Dynamical Structure Functions for the Estimation of LTI Networks with   Limited Information",
    "url": "https://arxiv.org/abs/q-bio/0610008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c7213feb-29d8-4ef5-b5a9-705dceaeb62d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}