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Exploring the Limitations of Kolmogorov-Arnold Networks in Classification: Insights to Software Training and Hardware Implementation

arXiv 2407.17790 ↗First posted 25 Jul 2024cs.LG cs.ARcited by 22

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Abstract (arXiv)

Kolmogorov-Arnold Networks (KANs), a novel type of neural network, have recently gained popularity and attention due to the ability to substitute multi-layer perceptions (MLPs) in artificial intelligence (AI) with higher accuracy and interoperability. However, KAN assessment is still limited and cannot provide an in-depth analysis of a specific domain. Furthermore, no study has been conducted on the implementation of KANs in hardware design, which would directly demonstrate whether KANs are truly superior to MLPs in practical applications. As a result, in this paper, we focus on verifying KANs for classification issues, which are a common but significant topic in AI using four different types of datasets. Furthermore, the corresponding hardware implementation is considered using the Vitis high-level synthesis (HLS) tool. To the best of our knowledge, this is the first article to implement hardware for KAN. The results indicate that KANs cannot achieve more accuracy than MLPs in high complex datasets while utilizing substantially higher hardware resources. Therefore, MLP remains an effective approach for achieving accuracy and efficiency in software and hardware implementation.

Key facts. Cited by 22 papers in the map (data through 7 Oct 2026). Builds on 7 of its 19 references that are in the map. First posted on arXiv 25 Jul 2024.

Builds on

7 of 19 references.

References · 7

  1. 2023A Comprehensive Survey of Continual Learning: Theory, Method and Applicationcited by 860
  2. 2024KAN: Kolmogorov-Arnold Networkscited by 634
  3. 2024Wav-KAN: Wavelet Kolmogorov-Arnold Networkscited by 118
  4. 2024Kolmogorov-Arnold Networks (KANs) for Time Series Analysiscited by 97
  5. 2024Convolutional Kolmogorov-Arnold Networkscited by 76
  6. 2024Kolmogorov-Arnold Network for Satellite Image Classification in Remote Sensingcited by 46
  7. 2024KANQAS: Kolmogorov-Arnold Network for Quantum Architecture Searchcited by 36

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2024: 9; 2025: 8; 2026: 5.

22 papers.

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  1. 2024KAN 2.0: Kolmogorov-Arnold Networks Meet Sciencecited by 116
  2. 2024A Survey on Kolmogorov-Arnold Networkcited by 67
  3. 2024PointNet with KAN versus PointNet with MLP for 3D Classification and Segmentation of Point Setscited by 15
  4. 2024Bayesian Kolmogorov Arnold Networks (Bayesian_KANs): A Probabilistic Approach to Enhance Accuracy and Interpretabilitycited by 8
  5. 2024KAN versus MLP on Irregular or Noisy Functionscited by 7
  6. 2024Rethinking the Function of Neurons in KANscited by 5
  7. 2024KAN we improve on HEP classification tasks? Kolmogorov-Arnold Networks applied to an LHC physics examplecited by 4
  8. 2024MonoKAN: Certified Monotonic Kolmogorov-Arnold Networkcited by 4
  9. 2025AF-KAN: Activation Function-Based Kolmogorov-Arnold Networks for Efficient Representation Learningcited by 3
  10. 2025Physics-informed KAN PointNet: Deep learning for simultaneous solutions to inverse problems in incompressible flow on numerous irregular geometriescited by 3
  11. 2025FlashKAT: Understanding and Addressing Performance Bottlenecks in the Kolmogorov-Arnold Transformercited by 3
  12. 2025KANMixer: a minimal KAN-centered mixer for long-term time series forecastingcited by 3
10 more
  1. 2024P1-KAN: an effective Kolmogorov-Arnold network with application to hydraulic valley optimizationcited by 2
  2. 2025QuantKAN: A Unified Quantization Framework for Kolmogorov Arnold Networkscited by 2
  3. 2025KAA: Kolmogorov-Arnold Attention for Enhancing Attentive Graph Neural Networkscited by 1
  4. 2025Hyb-KAN ViT: Hybrid Kolmogorov-Arnold Networks Augmented Vision Transformercited by 1
  5. 2026BiKA: Kolmogorov-Arnold-Network-inspired Ultra Lightweight Neural Network Hardware Acceleratorcited by 1
  6. 2026Hardware-Oriented Inference Complexity of Kolmogorov-Arnold Networkscited by 1
  7. 2025HKAN: Hierarchical Kolmogorov-Arnold Network without Backpropagationcited by 0
  8. 2026Kolmogorov Arnold Networks and Multi-Layer Perceptrons: A Paradigm Shift in Neural Modellingcited by 0
  9. 2026Ultrafast On-Chip Online Learning via Spline Locality in Kolmogorov-Arnold Networkscited by 0
  10. 2026Functional Equivalence and Geometric Diversity in Neural Network Approximations: An Empirical Characterizationcited by 0