{
  "id": "2610.24135",
  "title": "Inside the Loop: A Mechanistic Study of Weight-Tied Transformers on Depth-Bound Algorithmic Tasks",
  "authors": "Magnus Sesodia, Juil Sock, Philip Torr, Christian Schroeder de Witt",
  "first_public": "2026-10-16",
  "added_at": "2026-10-22",
  "venue": "arXiv",
  "arxiv": "2610.24135",
  "paper_url": "https://arxiv.org/abs/2610.24135",
  "html_url": "https://arxiv.org/html/2610.24135v1",
  "lens": [
    "recurrent",
    "analysis"
  ],
  "representation": [
    "hidden-state"
  ],
  "computation": [
    "recurrent",
    "depth-wise"
  ],
  "training": [
    "supervised",
    "curriculum",
    "analysis-only"
  ],
  "questions": [
    "interpretability",
    "architecture",
    "limitations"
  ],
  "evidence": [
    "empirical",
    "probing",
    "mechanistic"
  ],
  "modality": [
    "symbolic"
  ],
  "summary": "Trains looped and untied transformers to follow paths through a shuffled permutation graph without writing intermediate hops. Uses probes and activation patching to test when intermediate nodes become available and whether later computation uses them.",
  "provenance": "Primary-source literature review, 2026-10-22",
  "author_names": [
    "Magnus Sesodia",
    "Juil Sock",
    "Philip Torr",
    "Christian Schroeder de Witt"
  ],
  "record_url": "https://latent-implicit-thinking.github.io/papers/2610.24135/",
  "legacy_record_url": "https://latent-implicit-thinking.github.io/papers/#paper-2610-24135",
  "citation_date": "2026-10-16",
  "json_url": "https://latent-implicit-thinking.github.io/papers/2610.24135/record.json",
  "markdown_url": "https://latent-implicit-thinking.github.io/papers/2610.24135/index.md",
  "bibtex_url": "https://latent-implicit-thinking.github.io/papers/2610.24135/citation.bib",
  "csl_url": "https://latent-implicit-thinking.github.io/papers/2610.24135/citation.csl.json",
  "pdf_url": "https://arxiv.org/pdf/2610.24135"
}