arXiv Machine Learning By Moritz Laber, Zohair Shafi, Germans Savcisens, Brennan Klein, Matteo Chinazzi, Samuel V. Scarpino, Albert-L\'aszl\'o Barab\'asi, Tina Eliassi-Rad

Scaling of Capability and Efficiency at Inference Time in Large Reasoning Models

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The paper investigates how large language models (LLMs) balance capability and efficiency when using Chain-of-Thought reasoning on arithmetic and algorithmic tasks. It finds that while larger models solve more problems correctly, the improvement follows an exponential decay that slows with scale, indicating diminishing returns. Additionally, the length of reasoning output grows with problem size but does not improve with larger models, suggesting efficiency does not benefit from scaling.

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