{
  "id": "2609.39892",
  "title": "Shared Weights, Selected Computations: How Looped Transformers Route What Each Loop Does",
  "authors": "Jiaju Wu, Yi Hu, Muhan Zhang",
  "first_public": "2026-09-30",
  "added_at": "2026-10-18",
  "venue": "arXiv",
  "arxiv": "2609.39892",
  "paper_url": "https://arxiv.org/abs/2609.39892",
  "lens": [
    "analysis",
    "recurrent"
  ],
  "representation": [
    "hidden-state"
  ],
  "computation": [
    "recurrent",
    "depth-wise"
  ],
  "training": [
    "analysis-only"
  ],
  "questions": [
    "interpretability",
    "controllability"
  ],
  "evidence": [
    "empirical",
    "mechanistic"
  ],
  "modality": [
    "symbolic"
  ],
  "summary": "Uses graph-walk tasks to study how a looped transformer performs different computations with the same weights. Tests whether changing the state entering a loop can select its computation, using steering and activation-patching experiments.",
  "provenance": "Primary-source literature search, 2026-10-18",
  "author_names": [
    "Jiaju Wu",
    "Yi Hu",
    "Muhan Zhang"
  ],
  "record_url": "https://latent-implicit-thinking.github.io/papers/2609.39892/",
  "legacy_record_url": "https://latent-implicit-thinking.github.io/papers/#paper-2609-39892",
  "citation_date": "2026-09-30",
  "json_url": "https://latent-implicit-thinking.github.io/papers/2609.39892/record.json",
  "markdown_url": "https://latent-implicit-thinking.github.io/papers/2609.39892/index.md",
  "bibtex_url": "https://latent-implicit-thinking.github.io/papers/2609.39892/citation.bib",
  "csl_url": "https://latent-implicit-thinking.github.io/papers/2609.39892/citation.csl.json"
}