Uncovering Scaling Laws for Large Language Models via Inverse Problems
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Abstract (arXiv)
Large Language Models (LLMs) are large-scale pretrained models that have achieved remarkable success across diverse domains. These successes have been driven by unprecedented complexity and scale in both data and computations. However, due to the high costs of training such models, brute-force trial-and-error approaches to improve LLMs are not feasible. Inspired by the success of inverse problems in uncovering fundamental scientific laws, this position paper advocates that inverse problems can also efficiently uncover scaling laws that guide the building of LLMs to achieve the desirable performance with significantly better cost-effectiveness.
Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 73 of its 106 references that are in the map. First posted on arXiv 9 Sep 2025.
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