{
  "id": 3414227,
  "title": "Beyond Uniform Local Isometry and Topology: FactoMap for Disentangled Representations",
  "url": "https://urgent.news/2026/08/25/beyond-uniform-local-isometry-and-topology-factomap-for-disentangled",
  "topic": "ai",
  "section": "AI",
  "published": "2026-08-25T15:59:59.000Z",
  "source": {
    "name": "arXiv cs.AI",
    "slug": "arxiv-cs-ai",
    "url": "https://arxiv.org/abs/2608.24762v1"
  },
  "original_language": "en",
  "account": null,
  "summary": "Many disentanglement methods represent generative factors using Euclidean product coordinates, although the underlying factor spaces may wrap, collapse, or have position-dependent geometry. We introduce factor-space structure, combining factor domains, generator-induced identifications, and position-dependent scales to distinguish topologically equivalent spaces with different factor geometries.…",
  "key_points": [],
  "editors_take": null,
  "illustration": null,
  "coverage": {
    "outlets": 1,
    "also_reported_by": []
  },
  "ai_generated": true,
  "disclaimer": "Summaries, key points and the editor’s take are written by software from other outlets’ reporting and may contain errors — always check the linked original."
}