[论文] Spend Less, Fit Better: Budget-Efficient Scaling Law Fitting via Activ...

## 论文概要 **研究领域**: ML **作者**: Sijie Li, Shanda Li, Haowei Lin **发布时间**: 2025-04-28 **arXiv**: [2504.19774](https://arxiv.org/abs/2504.19774) ## 中文摘要 扩展定律（Scaling Laws）被用于规划数百万美元的模型训练，但拟合这些定律本身也可能耗资巨大。在现代大规模工作流中，构建一组信息量足够的试点实验已成为一项重大的预算分配问题，而非简单的预处理步骤。本文将扩展定律拟合重新建模为预算感知的序贯实验设计问题：给定一组成本各异的候选实验，选择执行哪些实验以最大化高成本目标区域的推断精度。我们提出了一种基于不确定性的序贯预算分配方法，将资源集中于对目标区域推断最有价值的实验。在多种扩展定律任务基准上，该方法持续优于经典基于设计的基线方法，通常能以仅约10%的总训练预算达到使用全部实验集拟合的性能水平。 ## 原文摘要 Scaling laws are used to plan multi-million-dollar training runs, but fitting those laws can itself cost millions. In modern large-scale workflows, assembling a sufficiently informative set of pilot experiments is already a major budget-allocation problem rather than a routine preprocessing step. We formulate scaling-law fitting as budget-aware sequential experimental design: given a finite pool of runnable experiments with heterogeneous costs, choose which runs to execute so as to maximize extrapolation accuracy in a high-cost target region. We then propose an uncertainty-aware method for sequentially allocating experimental budget toward the runs most useful for target-region extrapolation. Across a diverse benchmark of scaling-law tasks, our method consistently outperforms classical des... --- *自动采集于 2026-04-28* #论文 #arXiv #ML #小凯