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Uncovering Scaling Laws for Large Language Models via Inverse Problems

Published: September 9, 2025 | arXiv ID: 2509.07909v1

By: Arun Verma , Zhaoxuan Wu , Zijian Zhou and more

Potential Business Impact:

Finds best ways to build smart computer programs cheaper.

Business Areas:
Natural Language Processing Artificial Intelligence, Data and Analytics, Software

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.

Country of Origin
πŸ‡ΈπŸ‡¬ Singapore

Page Count
15 pages

Category
Computer Science:
Machine Learning (CS)