arXiv:2605.25773stat.MLcs.AI2026-05被引 1

用特征选择+核岭回归,高效预测大模型评测得分

Efficient Benchmarking Is Just Feature Selection and Multiple Regression

论文配图:Efficient Benchmarking Is Just Feature Selection and Multiple Regression
图 1 · 摘自论文原文
  • 将评测效率问题转化为特征选择与多元回归,提升预测精度
  • 在多种基准上,预测误差降低,得分排序相关性更高
  • mRMR方法快速稳定,适合实际部署和可复现研究

高效评测技术通过仅使用基准题目的子集来预测完整评测得分,从而降低计算成本。本文将该问题重新建模为带特征选择的多元回归问题。实验表明,仅在预测阶段采用核岭回归,即可显著改进现有方法;结合信息论驱动的最小冗余最大相关性(mRMR)特征选择算法,能进一步挑选出对预测最有效的题目子集。在大多数情况下,新方法在平均绝对误差(MAE)和均方根误差(RMSE)上均更优,且在斯皮尔曼等级相关系数(Spearman ρ)和肯德尔等级相关系数(Kendall τ)上排名一致性更高。此外,mRMR采样速度远超同类方法(无需拟合概率模型或聚类),且在不同随机种子或数据划分下具有更强稳定性。教程代码已公开于 https://github.com/sambowyer/mrmr_eval。

原文摘要 · Abstract (English)

Efficient benchmarking techniques aim to lower the computational cost of evaluating LLMs by predicting full benchmark scores using only a subset of a benchmark's questions. By reframing this problem as an instance of multiple regression with feature selection, we find that existing efficient benchmarking methods can be greatly improved by simply using kernel ridge regression at the prediction stage. Additionally, using an information-theoretic feature-selection algorithm called minimum redundancy maximum relevance (mRMR), we can further improve upon these methods by selecting question subsets that will be maximally useful for prediction. Except in very data-poor settings, these approaches consistently achieve smaller prediction errors (in both MAE and RMSE), and greater ranking correlation between predicted and true scores (in both Spearman $ρ$ and Kendall $τ$) across a range of benchmarks using both binary and continuous metrics. Furthermore, mRMR subsampling is much faster than competitor methods (which often involve fitting probabilistic models or running clustering algorithms), and is more likely to select the same questions under different random seeds or training data splits. Tutorial code can be found at https://github.com/sambowyer/mrmr_eval .

大模型评测特征选择回归预测mRMR

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