{
  "id": "2606.18206",
  "title": "Fixed-Point Reasoners: Stable and Adaptive Deep Looped Transformers",
  "authors": "Sajad Movahedi, Vera Milovanović, Shlomo Libo Feigin, Alexander Theus, Thomas Hofmann, Valentina Boeva, T. Konstantin Rusch, Antonio Orvieto",
  "first_public": "2026-06-16",
  "venue": "arXiv",
  "arxiv": "2606.18206",
  "paper_url": "https://arxiv.org/abs/2606.18206",
  "code_url": "https://github.com/nilskiKonjIzDunava/fprm",
  "lens": [
    "recurrent"
  ],
  "representation": [
    "hidden-state"
  ],
  "computation": [
    "recurrent",
    "depth-wise"
  ],
  "training": [
    "supervised"
  ],
  "questions": [
    "capability",
    "efficiency",
    "architecture",
    "controllability"
  ],
  "evidence": [
    "empirical"
  ],
  "modality": [
    "language",
    "symbolic"
  ],
  "summary": "Stabilizes repeated transformer layers and stops looping when the hidden state converges, allowing the model to spend different amounts of computation on different problems.",
  "provenance": "Primary-source literature search, 2026-09-04",
  "author_names": [
    "Sajad Movahedi",
    "Vera Milovanović",
    "Shlomo Libo Feigin",
    "Alexander Theus",
    "Thomas Hofmann",
    "Valentina Boeva",
    "T. Konstantin Rusch",
    "Antonio Orvieto"
  ],
  "record_url": "https://latent-implicit-thinking.github.io/papers/2606.18206/",
  "legacy_record_url": "https://latent-implicit-thinking.github.io/papers/#paper-2606-18206",
  "citation_date": "2026-06-16",
  "json_url": "https://latent-implicit-thinking.github.io/papers/2606.18206/record.json",
  "markdown_url": "https://latent-implicit-thinking.github.io/papers/2606.18206/index.md",
  "bibtex_url": "https://latent-implicit-thinking.github.io/papers/2606.18206/citation.bib",
  "csl_url": "https://latent-implicit-thinking.github.io/papers/2606.18206/citation.csl.json"
}