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Sketch-of-Thought: Efficient LLM Reasoning with Adaptive Cognitive-Inspired Sketching

Paper · 2025 · Simon A. Aytes, Jinheon Baek and Sung Ju Hwang

Summary

Chain-of-Thought (CoT) prompting helps large language models solve multi-step problems. However, its long natural-language traces increase output length, latency and cost. The authors propose Sketch-of-Thought (SoT), a training-free prompting framework that has models write compressed, structured reasoning instead of full explanatory sentences. SoT draws on cognitive science and offers three paradigms:

  • Conceptual Chaining: short links between key concepts, motivated by associative memory.
  • Chunked Symbolism: dense, equation-like steps, motivated by working-memory chunking.
  • Expert Lexicons: domain abbreviations and notation, motivated by research on expert schemas.

A lightweight router model examines each query and selects the paradigm at inference time. SoT was evaluated on 18 reasoning benchmarks covering mathematics, commonsense, logic, multi-hop, science and medicine, plus multilingual and multimodal settings. It reduces output tokens by up to 84% relative to CoT with little accuracy loss, and it sometimes improves accuracy in mathematical and multi-hop tasks. This makes reasoning LLMs more practical under tight compute or budget limits.

Key points

  • Paradigm–task matching: Chunked Symbolism targets math and arithmetic. Conceptual Chaining targets commonsense, multi-hop, logical and scientific questions. Expert Lexicons targets specialised domains such as medicine (e.g., STEMI/MONA-style shorthand).
  • Baselines: SoT is compared with CoT, Constrained CoT (CCoT) and Chain-of-Draft (CoD). Models shown in the main comparison include GPT-4o, Sonnet 3.5, Qwen 7B/14B/32B and Llama 8B/11B.
  • Design choices: The router was trained on annotations produced by GPT-4o, so it may inherit that model's biases. Each paradigm uses a fixed set of exemplars.
  • Compatibility: SoT works alongside ensemble prompting strategies. Code is released at github.com/SimonAytes/SoT.
  • Limitations: Multilingual tests covered only widely spoken languages, so effects on low-resource languages remain untested. Code generation and other new paradigms are left for future work.

Our summary of the paper, in our own words — not its text. The work belongs to its authors; read it at the links above.

 Fields, topics and concepts

Cite

Cite as Simon A. Aytes, Jinheon Baek and Sung Ju Hwang. 2025. Sketch-of-Thought: Efficient LLM Reasoning with Adaptive Cognitive-Inspired Sketching. Proceedings of the 2025 Conference on Empirical Methods in Natural Language Processing.

The paper itself, not this page. BibTeX from the library's record of the work. DOI 10.18653/v1/2025.emnlp-main.1236

@inproceedings{aytes2025sketch,
  title = {{Sketch-of-Thought: Efficient LLM Reasoning with Adaptive Cognitive-Inspired Sketching}},
  author = {Simon A. Aytes, Jinheon Baek and Sung Ju Hwang},
  booktitle = {Proceedings of the 2025 Conference on Empirical Methods in Natural Language Processing},
  year = {2025},
  doi = {10.18653/v1/2025.emnlp-main.1236},
  url = {https://doi.org/10.18653/v1/2025.emnlp-main.1236}
}

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