{
  "id": "2609.19717",
  "title": "Learn Your Own Thoughts: Abstract Token Curriculum",
  "authors": "Khashayar Gatmiry, Avrajit Ghosh, Parsa Mirtaheri, Jason D. Lee, Nika Haghtalab, Emmanuel Abbe, Peter Bartlett",
  "first_public": "2026-09-17",
  "added_at": "2026-10-18",
  "venue": "arXiv",
  "arxiv": "2609.19717",
  "paper_url": "https://arxiv.org/abs/2609.19717",
  "lens": [
    "continuous"
  ],
  "representation": [
    "continuous-state"
  ],
  "computation": [
    "token-wise"
  ],
  "training": [
    "curriculum"
  ],
  "questions": [
    "capability",
    "theory",
    "generalization"
  ],
  "evidence": [
    "empirical",
    "formal"
  ],
  "modality": [
    "symbolic"
  ],
  "summary": "Trains on progressively harder problems so that a model learns continuous intermediate thoughts without explicit reasoning-step supervision. Analyzes parity learning theoretically and tests graph reachability and arithmetic.",
  "provenance": "Primary-source literature search, 2026-10-18",
  "author_names": [
    "Khashayar Gatmiry",
    "Avrajit Ghosh",
    "Parsa Mirtaheri",
    "Jason D. Lee",
    "Nika Haghtalab",
    "Emmanuel Abbe",
    "Peter Bartlett"
  ],
  "record_url": "https://latent-implicit-thinking.github.io/papers/2609.19717/",
  "legacy_record_url": "https://latent-implicit-thinking.github.io/papers/#paper-2609-19717",
  "citation_date": "2026-09-17",
  "json_url": "https://latent-implicit-thinking.github.io/papers/2609.19717/record.json",
  "markdown_url": "https://latent-implicit-thinking.github.io/papers/2609.19717/index.md",
  "bibtex_url": "https://latent-implicit-thinking.github.io/papers/2609.19717/citation.bib",
  "csl_url": "https://latent-implicit-thinking.github.io/papers/2609.19717/citation.csl.json"
}