KAN自编码器在小样本下仍能高效检测化工故障,优于传统方法。
Comparative Evaluation of Kolmogorov-Arnold Autoencoders and Orthogonal Autoencoders for Fault Detection with Varying Training Set Sizes
- 用可学习函数替代固定激活,提升模型灵活性与数据效率。
- 仅需4000样本即达92%以上故障检出率,500样本也超90%。
- 适合数据稀缺的工业场景,兼具性能与可解释性优势。
柯尔莫哥洛夫-阿诺德网络(KAN)作为新型神经网络架构,通过在边上传递可学习函数实现参数高效与灵活建模。本文首次系统评估其在无监督故障检测中的表现,对比四种KAN自编码器(EfficientKAN-AE、FastKAN-AE、FourierKAN-AE、WavKAN-AE)与正交自编码器(OAE),在13种不同训练集规模下于田纳西东曼过程数据集上测试21类故障,以故障检出率(FDR)为指标。结果表明,WavKAN-AE仅用4,000样本即达≥92% FDR,且在更大数据下仍领先;EfficientKAN-AE在仅500样本时已达≥90% FDR,展现出强低数据鲁棒性;FastKAN-AE在≥50,000样本时才具竞争力,而FourierKAN-AE始终表现较差;OAE性能随数据增长缓慢,需大量数据才能逼近顶尖KAN-AE表现。研究证实KAN-AE兼具高数据效率与优异检测能力,其结构化基函数也提升了模型透明度,适用于数据受限的工业部署。
原文摘要 · Abstract (English)
Kolmogorov-Arnold Networks (KANs) have recently emerged as a flexible and parameter-efficient alternative to conventional neural networks. Unlike standard architectures that use fixed node-based activations, KANs place learnable functions on edges, parameterized by different function families. While they have shown promise in supervised settings, their utility in unsupervised fault detection remains largely unexplored. This study presents a comparative evaluation of KAN-based autoencoders (KAN-AEs) for unsupervised fault detection in chemical processes. We investigate four KAN-AE variants, each based on a different KAN implementation (EfficientKAN, FastKAN, FourierKAN, and WavKAN), and benchmark them against an Orthogonal Autoencoder (OAE) on the Tennessee Eastman Process. Models are trained on normal operating data across 13 training set sizes and evaluated on 21 fault types, using Fault Detection Rate (FDR) as the performance metric. WavKAN-AE achieves the highest overall FDR ($\geq$92\%) using just 4,000 training samples and remains the top performer, even as other variants are trained on larger datasets. EfficientKAN-AE reaches $\geq$90\% FDR with only 500 samples, demonstrating robustness in low-data settings. FastKAN-AE becomes competitive at larger scales ($\geq$50,000 samples), while FourierKAN-AE consistently underperforms. The OAE baseline improves gradually but requires substantially more data to match top KAN-AE performance. These results highlight the ability of KAN-AEs to combine data efficiency with strong fault detection performance. Their use of structured basis functions suggests potential for improved model transparency, making them promising candidates for deployment in data-constrained industrial settings.
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