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TKAN: Temporal Kolmogorov-Arnold Networks

arXiv 2405.07344 ↗First posted 12 May 2024cs.LG cs.AIcited by 71

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Abstract (arXiv)

Recurrent Neural Networks (RNNs) have revolutionized many areas of machine learning, particularly in natural language and data sequence processing. Long Short-Term Memory (LSTM) has demonstrated its ability to capture long-term dependencies in sequential data. Inspired by the Kolmogorov-Arnold Networks (KANs) a promising alternatives to Multi-Layer Perceptrons (MLPs), we proposed a new neural networks architecture inspired by KAN and the LSTM, the Temporal Kolomogorov-Arnold Networks (TKANs). TKANs combined the strenght of both networks, it is composed of Recurring Kolmogorov-Arnold Networks (RKANs) Layers embedding memory management. This innovation enables us to perform multi-step time series forecasting with enhanced accuracy and efficiency. By addressing the limitations of traditional models in handling complex sequential patterns, the TKAN architecture offers significant potential for advancements in fields requiring more than one step ahead forecasting.

Key facts. Cited by 71 papers in the map (data through 14 Oct 2026). Builds on 8 of its 23 references that are in the map. First posted on arXiv 12 May 2024.

Builds on

8 of 23 references.

References · 8

  1. 2014Learning Phrase Representations using RNN Encoder-Decoder for Statistical Machine Translationcited by 4,057
  2. 2014Empirical Evaluation of Gated Recurrent Neural Networks on Sequence Modelingcited by 2,367
  3. 2019Temporal Fusion Transformers for Interpretable Multi-horizon Time Series Forecastingcited by 761
  4. 2024KAN: Kolmogorov-Arnold Networkscited by 649
  5. 2019Financial Time Series Forecasting with Deep Learning : A Systematic Literature Review: 2005-2019cited by 273
  6. 2019Recurrent Neural Networks for Time Series Forecasting: Current Status and Future Directionscited by 172
  7. 2015A Simple Way to Initialize Recurrent Networks of Rectified Linear Unitscited by 130
  8. 2019Understanding LSTM -- a tutorial into Long Short-Term Memory Recurrent Neural Networkscited by 103

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2024: 36; 2025: 27; 2026: 8.

71 papers.

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  1. 2024KAN 2.0: Kolmogorov-Arnold Networks Meet Sciencecited by 118
  2. 2024Kolmogorov-Arnold Networks for Time Series: Bridging Predictive Power and Interpretabilitycited by 70
  3. 2024A Survey on Kolmogorov-Arnold Networkcited by 68
  4. 2024fKAN: Fractional Kolmogorov-Arnold Networks with trainable Jacobi basis functionscited by 64
  5. 2024A Temporal Kolmogorov-Arnold Transformer for Time Series Forecastingcited by 52
  6. 2024KAGNNs: Kolmogorov-Arnold Networks meet Graph Learningcited by 49
  7. 2024Adaptive Training of Grid-Dependent Physics-Informed Kolmogorov-Arnold Networkscited by 38
  8. 2024KANQAS: Kolmogorov-Arnold Network for Quantum Architecture Searchcited by 37
  9. 2024On the expressiveness and spectral bias of KANscited by 37
  10. 2024rKAN: Rational Kolmogorov-Arnold Networkscited by 35
  11. 2024Finite basis Kolmogorov-Arnold networks: domain decomposition for data-driven and physics-informed problemscited by 35
  12. 2024ReLU-KAN: New Kolmogorov-Arnold Networks that Only Need Matrix Addition, Dot Multiplication, and ReLUcited by 33
38 more
  1. 2024Kolmogorov-Arnold Graph Neural Networkscited by 32
  2. 2024FC-KAN: Function Combinations in Kolmogorov-Arnold Networkscited by 19
  3. 2024Reduced Effectiveness of Kolmogorov-Arnold Networks on Functions with Noisecited by 17
  4. 2024SigKAN: Signature-Weighted Kolmogorov-Arnold Networks for Time Seriescited by 13
  5. 2025KANEL'E: Kolmogorov-Arnold Networks for Efficient LUT-based Evaluationcited by 13
  6. 2024On the Robustness of Kolmogorov-Arnold Networks: An Adversarial Perspectivecited by 11
  7. 2024Kolmogorov-Arnold Network for Online Reinforcement Learningcited by 9
  8. 2024Multifidelity Kolmogorov-Arnold Networkscited by 9
  9. 2024Bayesian Kolmogorov Arnold Networks (Bayesian_KANs): A Probabilistic Approach to Enhance Accuracy and Interpretabilitycited by 8
  10. 2024Exploring Kolmogorov-Arnold Networks for Interpretable Time Series Classificationcited by 8
  11. 2025QKAN-LSTM: Quantum-inspired Kolmogorov-Arnold Long Short-term Memorycited by 8
  12. 2024KAN versus MLP on Irregular or Noisy Functionscited by 7
  13. 2024Deep State Space Recurrent Neural Networks for Time Series Forecastingcited by 6
  14. 2024A Gated Residual Kolmogorov-Arnold Networks for Mixtures of Expertscited by 6
  15. 2025Fast and Accurate Gigapixel Pathological Image Classification with Hierarchical Distillation Multi-Instance Learningcited by 5
  16. 2024SpectralKAN: Weighted Activation Distribution Kolmogorov-Arnold Network for Hyperspectral Image Change Detectioncited by 4
  17. 2024Incorporating Arbitrary Matrix Group Equivariance into KANscited by 4
  18. 2024A Temporal Linear Network for Time Series Forecastingcited by 4
  19. 2025Deep Learning for VWAP Execution in Crypto Markets: Beyond the Volume Curvecited by 4
  20. 2025KAC: Kolmogorov-Arnold Classifier for Continual Learningcited by 4
  21. 2025KAN-SAM: Kolmogorov-Arnold Network Guided Segment Anything Model for RGB-T Salient Object Detectioncited by 4
  22. 2024KAN v.s. MLP for Offline Reinforcement Learningcited by 3
  23. 2024P1-KAN: an effective Kolmogorov-Arnold network with application to hydraulic valley optimizationcited by 3
  24. 2024HiPPO-KAN: Efficient KAN Model for Time Series Analysiscited by 3
  25. 2025Forecasting VIX using interpretable Kolmogorov-Arnold networkscited by 3
  26. 2025SigGate: Enhancing Recurrent Neural Networks with Signature-Based Gating Mechanismscited by 3
  27. 2025AF-KAN: Activation Function-Based Kolmogorov-Arnold Networks for Efficient Representation Learningcited by 3
  28. 2025Physics-informed KAN PointNet: Deep learning for simultaneous solutions to inverse problems in incompressible flow on numerous irregular geometriescited by 3
  29. 2025Conformalized-KANs: Uncertainty Quantification with Coverage Guarantees for Kolmogorov-Arnold Networks (KANs) in Scientific Machine Learningcited by 3
  30. 2025TFKAN: Time-Frequency KAN for Long-Term Time Series Forecastingcited by 3
  31. 2024HSR-KAN: Efficient Hyperspectral Image Super-Resolution via Kolmogorov-Arnold Networkscited by 2
  32. 2024KA-GNN: Kolmogorov-Arnold Graph Neural Networks for Molecular Property Predictioncited by 2
  33. 2025Distance-Aware Error for Spline Networks: A Bottom-Up Approach to Uncertaintycited by 2
  34. 2025Recurrent Neural Networks for Dynamic VWAP Execution: Adaptive Trading Strategies with Temporal Kolmogorov-Arnold Networkscited by 2
  35. 2025Kolmogorov-Arnold Attention: Is Learnable Attention Better For Vision Transformers?cited by 2
  36. 2024Want to train KANS at scale? Now UKAN!cited by 1
  37. 2024Quantum Kolmogorov-Arnold networks by combining quantum signal processing circuitscited by 1
  38. 2024KAT to KANs: A Review of Kolmogorov-Arnold Networks and the Neural Leap Forwardcited by 1

50 most cited of 71 All 71 (JSON)