arXiv:2607.13413cs.LGcs.AI2026-07

KAN比MLP在表格分类上更准,但代价是更耗资源。

Is the Statistical Advantage Worth the Cost? An Empirical Comparison of KANs and MLPs for Structured Data Classification

论文配图:Is the Statistical Advantage Worth the Cost? An Empirical Comparison of KANs and MLPs for Structured Data Classification
图 1 · 摘自论文原文
  • 用自适应样条替代传统权重,提升函数逼近能力
  • 在12个数据集上,KAN平均准确率更高,统计显著
  • 适合高精度需求,资源紧张时仍选MLP更划算

本研究针对结构化表格分类任务,实证比较了柯尔莫哥洛夫-阿诺德网络(KAN)与多层感知机(MLP)的性能。基于十二个公开数据集(涵盖二分类、多分类、多标签和序数问题),在统一预处理、架构与超参数设置下,通过测试准确率、F1分数、配对假设检验及效应量分析评估模型表现。结果表明,KAN在二分类和多分类任务中统计显著优于MLP,整体平均表现占优。然而,效应量中等(d = -0.46)提示:尽管KAN凭借自适应样条映射实现更强泛化能力,但其参数量与计算开销远高于MLP。研究建议:高精度场景优选KAN,资源受限环境仍推荐使用效率更高的MLP。未来工作可扩展至更多数据模态以完善选型依据。

原文摘要 · Abstract (English)

This study presents an empirical benchmarking comparison between Kolmogorov-Arnold Networks (KANs) and Multi-Layer Perceptrons (MLPs) on structured tabular classification tasks. Motivated by the growing interest in KANs as an alternative function-approximating architecture, we evaluate their out-of-the-box performance on twelve publicly available datasets spanning binary, multiclass, multilabel, and ordinal problems. Both models were trained under standardized preprocessing, architecture, and fixed hyperparameter settings, with performance assessed using test accuracy and F1-Score, paired hypothesis testing, and effect size analysis. Results show that KANs statistically outperform MLPs in binary and multiclass domains and achieve a significant aggregate advantage across all datasets. However, the observed medium effect size (d = -0.46) raises an important cost-benefit consideration: while KANs offer superior generalization through adaptive spline-based mappings, this advantage comes with substantially higher parameter and computational complexity relative to the MLP baseline. These findings suggest KANs are the preferred choice for high-precision applications, while MLPs remain a robust and efficient option for resource-constrained environments. Future work should extend this analysis to additional data modalities to further refine these architectural selection criteria.

KANMLP表格分类性能对比

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