{
  "id": "2609.09928",
  "title": "Structural Process Supervision for Latent Chain-of-Thought Reasoning",
  "authors": "Yiqi Li, Xu Chen, Chen Ju, Jiangchao Yao, Zhaoyang Li, Jinsong Lan, Xiaoyong Zhu, Yu Wang",
  "first_public": "2026-09-09",
  "added_at": "2026-10-18",
  "venue": "arXiv",
  "arxiv": "2609.09928",
  "paper_url": "https://arxiv.org/abs/2609.09928",
  "lens": [
    "continuous"
  ],
  "representation": [
    "continuous-state"
  ],
  "computation": [
    "token-wise"
  ],
  "training": [
    "supervised",
    "distillation",
    "curriculum"
  ],
  "questions": [
    "capability",
    "efficiency"
  ],
  "evidence": [
    "empirical"
  ],
  "modality": [
    "language",
    "symbolic"
  ],
  "summary": "Aligns continuous thoughts with written reasoning through shared, learnable prototypes, allowing several text steps to supervise several latent states. A positional alignment constraint is gradually relaxed during training.",
  "provenance": "Primary-source literature search, 2026-10-18",
  "author_names": [
    "Yiqi Li",
    "Xu Chen",
    "Chen Ju",
    "Jiangchao Yao",
    "Zhaoyang Li",
    "Jinsong Lan",
    "Xiaoyong Zhu",
    "Yu Wang"
  ],
  "record_url": "https://latent-implicit-thinking.github.io/papers/2609.09928/",
  "legacy_record_url": "https://latent-implicit-thinking.github.io/papers/#paper-2609-09928",
  "citation_date": "2026-09-09",
  "json_url": "https://latent-implicit-thinking.github.io/papers/2609.09928/record.json",
  "markdown_url": "https://latent-implicit-thinking.github.io/papers/2609.09928/index.md",
  "bibtex_url": "https://latent-implicit-thinking.github.io/papers/2609.09928/citation.bib",
  "csl_url": "https://latent-implicit-thinking.github.io/papers/2609.09928/citation.csl.json"
}