journal article·2025-10-29Open access

A Novel Kolmogorov–Arnold Attention Allocation Network for Cutting Tool Remaining Useful Life Prediction

Dingli Guo, Yinfei Liu, Li Sun, Guochao Li

Applied Sciences· Volume 15· Issue 21

Abstract

Accurately predicting the Remaining Useful Life (RUL) of milling tools based on monitoring signals is crucial for maximizing tool utilization and reducing machining costs. However, tool degradation and working conditions complicate the extraction of features from monitoring data, making the nonlinear mapping from these features to RUL challenging. To address this, a novel Kolmogorov–Arnold Attention Allocation Network (KA-AAN) is proposed, which consists of an Attentional Feature Extraction Network (AFEN) and a KAN regression block. First, the S-transform is applied to multi-sensor signals to create a time-frequency feature dataset. Then, the AFEN allocates attention to extracting attentional features concerning both tool degradation and working conditions by using multiple Kolmogorov–Arnold Attention Blocks and the unique activation function of KAN, which enhances the importance of features at different levels. Furthermore, the KAN regression block maps from attentional features to RUL, learning the most appropriate way to activate and combine features based on the specific circumstances of the tool and machining process. The nonlinear fusion of the attentional features improves the model’s adaptability to different working conditions. Finally, an experiment was designed and conducted to verify the robustness and stability of the proposed method. The experimental results show that the proposed method achieves a mean squared error of 0.97 and a mean absolute percentage error of 8.27% under the same working condition and 2.91% and 18.63% under different conditions (average). Compared to other advanced methods, the proposed method exhibits higher accuracy and adaptability.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Advanced machining processes and optimization · Machine Fault Diagnosis Techniques · Digital Transformation in Industry

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

School of Mechanical Engineering, Jiangsu University of Science and Technology, Zhenjiang 212100, China

Funding

National Natural Science Foundation of China · Jiangsu Province Higher Education Institutions Basic Disciplines

References (35)

Show source-provided references
1. A generic tool wear model and its application to force modeling and wear monitoring in high speed milling10.1016/j.ymssp.2018.05.045 ↗
2. Data-driven smart manufacturing: Tool wear monitoring with audio signals and machine learning10.1016/j.jmapro.2019.10.020 ↗
3. Tool wear evaluation under minimum quantity lubrication by clustering energy of acoustic emission burst signals10.1016/j.measurement.2019.02.004 ↗
4. Using Deep Learning-Based Approach to Predict Remaining Useful Life of Rotating Components10.1109/TSMC.2017.2697842 ↗
5. Remaining useful life estimation via transformer encoder enhanced by a gated convolutional unit10.1007/s10845-021-01750-x ↗
6. Remaining useful life (RUL) regression using Long–Short Term Memory (LSTM) networks10.1016/j.microrel.2022.114772 ↗
7. A parallel GRU with dual-stage attention mechanism model integrating uncertainty quantification for probabilistic RUL prediction of wind turbine bearings10.1016/j.ress.2023.109197 ↗
8. A hybrid method for cutting tool RUL prediction based on CNN and multistage wiener process using small sample data10.1016/j.measurement.2023.112739 ↗
9. Deep learning and its applications to machine health monitoring10.1016/j.ymssp.2018.05.050 ↗
10. Physics-informed inhomogeneous wear identification of end mills by online monitoring data10.1016/j.jmapro.2024.11.020 ↗
11. Tool wear monitoring by ensemble learning and sensor fusion using power, sound, vibration, and AE signals10.1016/j.mfglet.2021.10.002 ↗
12. Li, G., Shang, X., Yang, L., Xie, D., Sun, L., Si, M., and Zhou, H. (2025). Milling tool wear condition monitoring based on physics-informed autoregression transformation of audio signals. IEEE Sensors J.10.1109/JSEN.2025.3618945 ↗
13. Combining translation-invariant wavelet frames and convolutional neural network for intelligent tool wear state identification10.1016/j.compind.2018.12.018 ↗
14. Predicting tool wear with multi-sensor data using deep belief networks10.1007/s00170-018-2571-z ↗
15. Monitoring of tool wear using measured machining forces and neuro-fuzzy modelling approaches during machining of GFRP composites10.1016/j.advengsoft.2014.12.010 ↗
16. Tool wear state recognition based on feature selection method with whitening variational mode decomposition10.1016/j.rcim.2022.102344 ↗
17. Design of multisensor fusion-based tool condition monitoring system in end milling10.1007/s00170-009-2110-z ↗
18. Prediction of the remaining useful life of cutting tool using the hurst exponent and CNN-LSTM10.1007/s00170-020-06447-8 ↗
19. Similarity index of the STFT-based health diagnosis of variable speed rotating machines
20. Tool wear condition monitoring based on wavelet transform and improved extreme learning machine10.1177/0954406219888544 ↗
21. Acoustic emission method for tool condition monitoring based on wavelet analysis10.1007/s00170-006-0523-5 ↗
22. Motor current based misalignment diagnosis on linear axes with short-time fourier transform (STFT)10.1016/j.procir.2022.02.185 ↗
23. WTFormer: RUL prediction method guided by trainable wavelet transform embedding and lagged penalty loss10.1016/j.aei.2024.102710 ↗
24. A new time–space attention mechanism driven multi-feature fusion method for tool wear monitoring10.1007/s00170-022-09032-3 ↗
25. RUL prediction of lithium ion battery based on CEEMDAN-CNN BiLSTM model10.1016/j.egyr.2023.05.121 ↗
26. Localization of the complex spectrum: The S transform10.1109/78.492555 ↗
27. Deep learning-based tool wear prediction and its application for machining process using multi-scale feature fusion and channel attention mechanism10.1016/j.measurement.2021.109254 ↗
28. Tool remaining useful life prediction method based on LSTM under variable working conditions10.1007/s00170-019-04349-y ↗
29. Deep spatial-temporal feature extraction and lightweight feature fusion for tool condition monitoring10.1109/TIE.2021.3102443 ↗
30. Data-model linkage prediction of tool remaining useful life based on deep feature fusion and wiener process10.1016/j.jmsy.2024.01.008 ↗
31. The kolmogorov–arnold representation theorem revisited10.1016/j.neunet.2021.01.020 ↗
32. Interpretable deep learning approach for tool wear monitoring in high-speed milling10.1016/j.compind.2022.103638 ↗
33. Liu, Z., Ma, P., Wang, Y., Matusik, W., and Tegmark, M. (2024). KAN 2.0: Kolmogorov-arnold networks meet science. arXiv.
34. Liu, Z., Wang, Y., Vaidya, S., Ruehle, F., Halverson, J., Soljačić, M., Hou, T.Y., and Tegmark, M. (2024). KAN: Kolmogorov-arnold networks. arXiv, Available online: http://arxiv.org/abs/2404.19756.
35. (1989). Tool Life Testing in Milling; Part 2: End Milling (Standard No. ISO 8688-2).