Using Kolmogorov–Arnold network for cyber-physical system security: A fast and efficient approach
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Correlation-based methods are particularly suitable for attacks and faults that selectively perturb a subset of variables while keeping other measurements within nominal ranges, and for scenarios where the key symptom is a collapse or distortion of inter-sensor correlation rather than a large deviation of a single signal.
“This makes them particularly suitable for attacks and faults that selectively perturb a subset of variables while keeping other measurements within nominal ranges, as well as for scenarios where the key symptom is a collapse or distortion of inter-sensor correlation rather than a large deviation of a single signal [94,96,99-101,106-108].”
From AI-Based Anomaly Detection in Industrial Control and Cyber–Physical Systems: A Data-Type-Oriented Systematic Review (2025) · cites this paper as [108]
Some sensor-correlation-based models learn temporal correlations and cross-sensor dependencies implicitly using deep RNNs, LSTMs, attention mechanisms, or Transformers applied to multivariate sequences.
“Some models learn temporal correlations and cross-sensor dependencies implicitly using deep RNNs, LSTMs, attention mechanisms, or Transformers applied to multivariate sequences [88,90,93,98,108,110], while others make correlations explicit through graph structures, digital twins, energy-based physics features, or multi-instance representations [94,96,99,101,104,106,107].”
From AI-Based Anomaly Detection in Industrial Control and Cyber–Physical Systems: A Data-Type-Oriented Systematic Review (2025) · cites this paper as [108]
Cites
KAN: Kolmogorov-Arnold NetworksPreprint
Liu, Z., Wang, Y., Vaidya, S., Ruehle, F., Halverson, J., Marin Soljacic, A., Hou, T. Y., & Tegmark, M. (2024) · arXiv (Cornell University) · doi:10.48550/arxiv.2404.19756 · Cited by 1,990 · see citing works
A Dataset to Support Research in the Design of Secure Water Treatment Systems
Goh, J., Adepu, S., Junejo, K. N., & Mathur, A. (2017) · Lecture Notes in Computer Science · doi:10.1007/978-3-319-71368-7_8 · Cited by 729 · see citing works
A Survey of Cyber Attacks on Cyber Physical Systems: Recent Advances and Challenges
Duo, W., Zhou, M., & Abusorrah, A. M. (2022) · IEEE/CAA Journal of Automatica Sinica · doi:10.1109/jas.2022.105548 · Cited by 599 · see citing works
Ahmed, C. M., Palleti, V. R., & Mathur, A. P. (2017) · International Workshop on Cyber-Physical Systems for Smart Water Networks (CySWater) · doi:10.1145/3055366.3055375 · Cited by 574 · see citing works
Cyber-physical systems and their security issues
Alguliyev, R. M., İmamverdiyev, Y., & Sukhostat, L. V. (2018) · Computers in Industry · doi:10.1016/j.compind.2018.04.017 · Cited by 479 · see citing works
Anomaly Detection for a Water Treatment System Using Unsupervised Machine Learning
Inoue, J., Yamagata, Y., Chen, Y., POSKITT, C. M., & Sun, J. (2017) · IEEE ... International Conference on Data Mining workshops · doi:10.1109/icdmw.2017.149 · Cited by 372 · see citing works
An Ensemble Deep Learning-Based Cyber-Attack Detection in Industrial Control System
Al-Abassi, A., Karimipour, H., Dehghantanha, A., & Parizi, R. M. (2020) · IEEE Access · doi:10.1109/access.2020.2992249 · Cited by 323 · see citing works
Kolmogorov-Arnold Networks (KANs) for Time Series Analysis
Vaca-Rubio, C. J., Blanco, L., Pereira, R., & Caus, M. (2024) · IEEE Globecom Workshops (GC Wkshps) · doi:10.1109/gcwkshp64532.2024.11100692 · Cited by 279 · see citing works
2010 IEEE International Conference on Data Mining Workshops
(2010) · doi:10.1109/icdmw18178.2010 · Cited by 225 · see citing works
Kravchik, M., & Shabtai, A. (2022) · IEEE Transactions on Dependable and Secure Computing · doi:10.1109/tdsc.2021.3050101 · Cited by 224 · see citing works
Wav-KAN: Wavelet Kolmogorov-Arnold NetworksPreprint
Bozorgasl, Z., & Chen, H. (2024) · SSRN Electronic Journal · doi:10.2139/ssrn.4835325 · Cited by 204 · see citing works
Koenig, B. C., Kim, S., & Deng, S. (2024) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2024.117397 · Cited by 186 · see citing works
CARLA: Self-supervised contrastive representation learning for time series anomaly detection
Darban, Z. Z., Webb, G. I., Pan, S., Aggarwal, C. C., & Salehi, M. (2024) · Pattern Recognition · doi:10.1016/j.patcog.2024.110874 · Cited by 165 · see citing works
Bibliographical review on cyber attacks from a control oriented perspective
Sánchez, H. S., Rotondo, D., Escobet, T., Puig, V., & Quevedo, J. (2019) · Annual Reviews in Control · doi:10.1016/j.arcontrol.2019.08.002 · Cited by 144 · see citing works
acatech - National Academy of Science and Engineering, 2. (2011) · Springer eBooks · doi:10.1007/978-3-642-29090-9 · Cited by 122 · see citing works
A Dual-Isolation-Forests-Based Attack Detection Framework for Industrial Control Systems
Elnour, M., Meskin, N., Khan, K. M., & Jain, R. K. (2020) · IEEE Access · doi:10.1109/access.2020.2975066 · Cited by 117 · see citing works
Zeng, G., Yang, Y.-W., Lu, K., Geng, G., & Weng, J. (2025) · IEEE Transactions on Reliability · doi:10.1109/tr.2025.3528256 · Cited by 109 · see citing works
Digital Twin-based Anomaly Detection in Cyber-physical Systems
Xu, Q., Ali, S., & Yue, T. (2021) · IEEE Conference on Software Testing, Verification and Validation (ICST) · doi:10.1109/icst49551.2021.00031 · Cited by 108 · see citing works
Anomaly Detection Dataset for Industrial Control Systems
Dehlaghi-Ghadim, A., Moghadam, M. H., Balador, A., & Hansson, H. (2023) · IEEE Access · doi:10.1109/access.2023.3320928 · Cited by 101 · see citing works
S., P., Krithivasan, K., S., P., & Sriram V.S., S. (2020) · IEEE Transactions on Industry Applications · doi:10.1109/tia.2020.2977872 · Cited by 88 · see citing works
A literature review of IoT and CPS—What they are, and what they are not
Lesch, V., Züfle, M., Bauer, A., Iffländer, L., Krupitzer, C., & Kounev, S. (2023) · Journal of Systems and Software · doi:10.1016/j.jss.2023.111631 · Cited by 78 · see citing works
CKAN: Convolutional Kolmogorov–Arnold Networks Model for Intrusion Detection in IoT Environment
Elaziz, M. A., Fares, I. A., & Aseeri, A. O. (2024) · IEEE Access · doi:10.1109/access.2024.3462297 · Cited by 74 · see citing works
fKAN: Fractional Kolmogorov–Arnold Networks with trainable Jacobi basis functions
Aghaei, A. A. (2025) · Neurocomputing · doi:10.1016/j.neucom.2025.129414 · Cited by 68 · see citing works
Fährmann, D., Damer, N., Kirchbuchner, F., & Kuijper, A. (2022) · Sensors · doi:10.3390/s22082886 · Cited by 59 · see citing works
KAGNNs: Kolmogorov-Arnold Networks meet Graph LearningPreprint
Bresson, R., Nikolentzos, G., Panagopoulos, G., Chatzianastasis, M., Pang, J., & Vazirgiannis, M. (2024) · arXiv (Cornell University) · doi:10.48550/arxiv.2406.18380 · Cited by 59 · see citing works
Lu, K., Huang, J., Zeng, G., Chen, M.-R., Geng, G., & Weng, J. (2025) · IEEE Transactions on Dependable and Secure Computing · doi:10.1109/tdsc.2025.3545363 · Cited by 58 · see citing works
A Novel Interpretable Short-Term Load Forecasting Method Based on Kolmogorov-Arnold Networks
Jiang, B., Wang, Y., Wang, Q., & Geng, H. (2024) · IEEE Transactions on Power Systems · doi:10.1109/tpwrs.2024.3498452 · Cited by 50 · see citing works
2023 The 8th International Conference on Computer and Communication Systems
(2023) · International Conference on Computer and Communication Systems (ICCCS) · doi:10.1109/icccs57501.2023.10150648 · Cited by 44 · see citing works
Kolmogorov-Arnold Networks are Radial Basis Function NetworksPreprint
Li, Z. (2024) · arXiv (Cornell University) · doi:10.48550/arxiv.2405.06721 · Cited by 42 · see citing works
Shao, J., Zeng, G., Lu, K., Geng, G., & Weng, J. (2024) · Computers & Security · doi:10.1016/j.cose.2024.103910 · Cited by 33 · see citing works
An explainable unsupervised anomaly detection framework for Industrial Internet of Things
Abudurexiti, Y., Han, G., Zhang, F., & Liu, L. (2024) · Computers & Security · doi:10.1016/j.cose.2024.104130 · Cited by 33 · see citing works
Liu, X., Yang, Z., Guo, Y., Li, Z., & Xu, X. (2024) · Energy Conversion and Management · doi:10.1016/j.enconman.2024.119388 · Cited by 29 · see citing works
Robust Credit Card Fraud Detection Based on Efficient Kolmogorov-Arnold Network Models
Le, T.-T.-H., Hwang, Y., Kang, H., & Kim, H. (2024) · IEEE Access · doi:10.1109/access.2024.3485200 · Cited by 21 · see citing works
Quasi-Newton optimised Kolmogorov-Arnold Networks for wind farm power prediction
Mubarak, A. S., Ameen, Z. S., Mati, S., Lasisi, A., Naveed, Q. N., & Abdulkadir, R. A. (2024) · Heliyon · doi:10.1016/j.heliyon.2024.e40799 · Cited by 20 · see citing works
Hao, P., Le, T. D., Dinh, T. D., & Pham, V. D. (2025) · IEEE Access · doi:10.1109/access.2025.3528940 · Cited by 19 · see citing works
Comparative analysis of dimensionality reduction techniques for cybersecurity in the SWaT dataset
Bozdal, M., İleri, K., & Özkahraman, A. (2023) · The Journal of Supercomputing · doi:10.1007/s11227-023-05511-w · Cited by 17 · see citing works
Kolmogorov-Arnold TransformerPreprint
Yang, X., & Wang, X. (2024) · arXiv (Cornell University) · doi:10.48550/arxiv.2409.10594 · Cited by 17 · see citing works
Huang, Z., Cui, J., Yu, L., Contreras, L. F. H., Dwivedi, G., & Kavehei, O. (2024) · medRxiv · doi:10.1101/2024.06.04.24308428 · Cited by 13 · see citing works
Strengthening ICS defense: Modbus-NFA behavior model for enhanced anomaly detection
Amer, E., Al‐rimy, B. A. S., & El–Sappagh, S. (2025) · Journal of Information Security and Applications · doi:10.1016/j.jisa.2025.103990 · Cited by 13 · see citing works
Fast Attack Detection Method for Imbalanced Data in Industrial Cyber-Physical Systems
Huang, M., Li, T., Li, B., Zhang, N., & Huang, H. (2023) · Journal of Artificial Intelligence and Soft Computing Research · doi:10.2478/jaiscr-2023-0017 · Cited by 12 · see citing works
Explainable Intrusion Detection in Industrial Control Systems
Eltomy, R., & Lalouani, W. (2024) · IEEE International Conference on Industrial Cyber-Physical Systems (ICPS) · doi:10.1109/icps59941.2024.10640024 · Cited by 12 · see citing works
Exploring Kolmogorov–Arnold Networks for Interpretable Time Series Classification
Barašin, I., Bertalanič, B., Mohorčič, M., & Fortuna, C. (2025) · International Journal of Intelligent Systems · doi:10.1155/int/9553189 · Cited by 11 · see citing works
Seydi, S. T., Bozorgasl, Z., & Chen, H. (2024) · arXiv (Cornell University) · doi:10.48550/arxiv.2406.07869 · Cited by 8 · see citing works
Anomaly Detection for Process Industry using Class-Dependent Temperatures Loss
Li, Z., Yang, Z., Tang, D., Peng, S., & Li, J. (2023) · International Conference on Computer and Communication Systems (ICCCS) · doi:10.1109/icccs57501.2023.10150495 · Cited by 7 · see citing works
Izuazu, U. U., Ihekoronye, V. U., Kim, D.-S., & Lee, J. M. (2024) · International Conference on Artificial Intelligence in Information and Communication (ICAIIC) · doi:10.1109/icaiic60209.2024.10463488 · Cited by 7 · see citing works
Lachure, J., & Doriya, R. (2024) · IEEE Sensors Journal · doi:10.1109/jsen.2024.3472022 · Cited by 5 · see citing works
Secure IoT sensor networks through advanced anomaly detection with Kolmogorov–Arnold Networks (KANs)
Mishra, S., & Jain, U. (2025) · Microsystem Technologies · doi:10.1007/s00542-025-05848-7 · Cited by 5 · see citing works
Amer, E., & Elboghdadly, T. (2024) · International Mobile, Intelligent, and Ubiquitous Computing Conference (MIUCC) · doi:10.1109/miucc62295.2024.10783517 · Cited by 5 · see citing works
Vialatoux, C. F. , & Parrend, P. (2024) · Procedia Computer Science · doi:10.1016/j.procs.2024.09.690 · Cited by 4 · see citing works
Yeo, S., Nguyen, P. A., Le, A. N., & Mishra, S. K. (2025) · Lecture notes in electrical engineering · doi:10.1007/978-981-97-9112-5_3 · Cited by 4 · see citing works
Kolmogorov-Arnold Network for Machine Learning-based Motor Condition Diagnosis
Piedad, E., Rosario, C. A. D., Camaclang, R. C., Prieto‐Araujo, E., & Gomis‐Bellmunt, O. (2024) · International Conference on Electrical, Electronics and System Engineering (ICEESE) · doi:10.1109/iceese62315.2024.10828537 · Cited by 3 · see citing works
EPi-cKANs: Elasto-Plasticity Informed Kolmogorov-Arnold Networks Using Chebyshev PolynomialsPreprint
Mostajeran, F., & Faroughi, S. A. (2024) · arXiv (Cornell University) · doi:10.48550/arxiv.2410.10897 · Cited by 2 · see citing works
Robust Automated Event Detection from Machine-Learning Analysis of Network Data
Rodda, M., Chambers, A. J., & Rohl, A. (2024) · Procedia Computer Science · doi:10.1016/j.procs.2024.09.635 · Cited by 2 · see citing works
Detection of Cyber Attacks on a Water Distribution Testbed
Jia, M., & Zhang, P. (2022) · IEEE Conference on Control Technology and Applications (CCTA) · doi:10.1109/ccta49430.2022.9966085 · Cited by 2 · see citing works
Flagged first, then by citations
2 of the 57 references couldn’t be matched to a known paper.
Cited by
Sorted by citations
Seo, J. K., Lee, J., Kim, B., Shim, W., & Seo, J. T. (2025) · Electronics · doi:10.3390/electronics15010020 · Cited by 15 · see citing works
Faroughi, S. A., Mostajeran, F., Mashhadzadeh, A. H., & Faroughi, S. (2026) · Neural Networks · doi:10.1016/j.neunet.2026.108791 · Cited by 13 · see citing works
Enhancing real-time IoT intrusion detection using KAN-based frameworks with SMOTE
Mohammed, A. B., Chamseddine, E., & ElAdel, A. (2026) · Journal of Network and Computer Applications · doi:10.1016/j.jnca.2026.104461 · Cited by 9 · see citing works
Alikhani, M., & Nikoofard, A. (2025) · Measurement · doi:10.1016/j.measurement.2025.118928 · Cited by 5 · see citing works
Self-citationZaeem, R. A., Chang, C., Khan, M. P., Shoaib, M., Shu, C., & Raja, M. A. Z. (2025) · Engineering Applications of Artificial Intelligence · doi:10.1016/j.engappai.2025.112872 · Cited by 2 · see citing works
Quantum Annealed Geometric Mean Optimization for Calibrated Optimization of KAN
Mishra, A., & Panda, N. (2025) · International Conference on Intelligent Systems and Embedded Design (ISED) · doi:10.1109/ised67359.2025.11405218 · Cited by 2 · see citing works
Learning-aided fusion of SfM and IEKF for visual–inertial odometry
Alikhani, M., & Nikoofard, A. (2026) · Measurement · doi:10.1016/j.measurement.2026.121479 · Cited by 1 · see citing works
Self-citationA Bio-Inspired Deep Learning Intrusion Detection Framework for Cyber-Physical System Security
Singh, S., Kubam, C. S., Modh, N. N., Zubair, K. M., & Ashanand (2025) · International Conference on Computational Intelligence, Security, and Artificial Intelligence (IntelliSecAI) · doi:10.1109/intellisecai66368.2025.11473168 · Cited by 1 · see citing works
An analytical solution for channel equalization using a Kolmogorov-Arnold network
Silva, L. C. B., Rocha, H. R. O., & Segatto, M. E. V. (2025) · Engineering Research Express · doi:10.1088/2631-8695/ae1716
Attack Identification in Industrial Control Systems Using TabNet
Hassini, K., & Lazaar, M. (2025) · International Conference on Intelligent Systems: Theories and Applications · doi:10.1109/sita67914.2025.11273377
Eliminating backdoor attacks on Vision Kolmogorov-Arnold networks via fine-function pruning
Tang, Y., Bo, Y. U. A. N., Chen, Z., Yang, J., Dai, T., & Chen, Y. (2025) · Knowledge-Based Systems · doi:10.1016/j.knosys.2025.115253
Priyanga, S., Subramanian, R. S., Ponnuviji, N. P., Lingham, N. S. R., Thilagam, T., Mishra, V., & Stephan, T. (2026) · Scientific Reports · doi:10.1038/s41598-026-62079-0
Lara, R. C. H., & Lozano, M. A. (2026) · International Journal of Critical Infrastructure Protection · doi:10.1016/j.ijcip.2026.100909
Ren, X., Li, X., Mingshan, W., Liu, L., Xueru, B., & Zhou, F. (2026) · IEEE Transactions on Aerospace and Electronic Systems · doi:10.1109/taes.2026.3740385
Lara, R. C. H., & Lozano, M. A. (2026) · Communications in computer and information science · doi:10.1007/978-3-032-41327-7_16
IDSCor: A Hybrid Intrusion Detection System Framework for Industrial Networks
Anand, K., Geiger, J., Nataraj, S., Aman, M., Merz, S., Fiala, D., & Heigl, M. (2026) · International Conference on Advanced Machine Learning and Data Science (AMLDS) · doi:10.1109/amlds69611.2026.11723449
- Authors
- Ghorbani, M., Ghassemi, A., Alikhani, M., Khaloozadeh, H., & Nikoofard, A.
- Affiliations
- K. N. Toosi University of Technology (IR)
- Corresponding author
- Nikoofard, Amirhossein
- ORCID
- Venue
- International Journal of Critical Infrastructure Protection
- Publisher
- Elsevier BV
- Published
- 2025-09
- Volume
- 50
- Pages
- 100768
- ISSN
- 1874-5482 (ISSN-L)
- OpenAlex
- W4411022487
- Cited by
- 14
- References
- 57
- Citations by year
- 2026: 6 · 2025: 8
- FWCI
- 5.92
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- International Journal of Critical Infrastructure Protection (publishedVersion)
- Funders
- K.N.Toosi University of Technology
- Topics
- Physical Sciences › Computer Science › Computer Networks and Communications › Network Security and Intrusion Detection
- Physical Sciences › Engineering › Control and Systems Engineering › Smart Grid Security and Resilience
- Physical Sciences › Computer Science › Artificial Intelligence › Adversarial Robustness in Machine Learning
- Keywords
- Kolmogorov-Arnold networks, cyber-physical systems, intrusion detection, cyberattack detection, lightweight neural networks, real-time deployment, industrial control systems, SWaT dataset, WADI dataset, interpretability
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review