{
  "id": "2610.26666",
  "title": "Nested Shared-Operator Recursion on ARC-AGI-1: An Empirical Study of HRM, TRM and URM",
  "authors": "Sara Neri, Eugenio Gaeta, Andrea Ceschini, Andrea Facchinetti, Giuseppe Fico",
  "first_public": "2026-10-19",
  "added_at": "2026-10-22",
  "venue": "arXiv",
  "arxiv": "2610.26666",
  "paper_url": "https://arxiv.org/abs/2610.26666",
  "html_url": "https://arxiv.org/html/2610.26666v1",
  "lens": [
    "recurrent",
    "analysis"
  ],
  "representation": [
    "hidden-state"
  ],
  "computation": [
    "hierarchical",
    "recurrent"
  ],
  "training": [
    "supervised",
    "analysis-only"
  ],
  "questions": [
    "architecture",
    "evaluation",
    "limitations"
  ],
  "evidence": [
    "empirical"
  ],
  "modality": [
    "symbolic"
  ],
  "summary": "Adds a persistent intermediate state to nested updates in HRM, TRM and URM, then compares the variants on ARC-AGI-1. Finds no consistent advantage under the tested training budgets and separates token accuracy from exact puzzle solving.",
  "provenance": "Primary-source literature review, 2026-10-22",
  "author_names": [
    "Sara Neri",
    "Eugenio Gaeta",
    "Andrea Ceschini",
    "Andrea Facchinetti",
    "Giuseppe Fico"
  ],
  "record_url": "https://latent-implicit-thinking.github.io/papers/2610.26666/",
  "legacy_record_url": "https://latent-implicit-thinking.github.io/papers/#paper-2610-26666",
  "citation_date": "2026-10-19",
  "json_url": "https://latent-implicit-thinking.github.io/papers/2610.26666/record.json",
  "markdown_url": "https://latent-implicit-thinking.github.io/papers/2610.26666/index.md",
  "bibtex_url": "https://latent-implicit-thinking.github.io/papers/2610.26666/citation.bib",
  "csl_url": "https://latent-implicit-thinking.github.io/papers/2610.26666/citation.csl.json",
  "pdf_url": "https://arxiv.org/pdf/2610.26666"
}