A Temporal Kolmogorov-Arnold Transformer for Time Series Forecasting
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Abstract (arXiv)
Capturing complex temporal patterns and relationships within multivariate data streams is a difficult task. We propose the Temporal Kolmogorov-Arnold Transformer (TKAT), a novel attention-based architecture designed to address this task using Temporal Kolmogorov-Arnold Networks (TKANs). Inspired by the Temporal Fusion Transformer (TFT), TKAT emerges as a powerful encoder-decoder model tailored to handle tasks in which the observed part of the features is more important than the a priori known part. This new architecture combined the theoretical foundation of the Kolmogorov-Arnold representation with the power of transformers. TKAT aims to simplify the complex dependencies inherent in time series, making them more "interpretable". The use of transformer architecture in this framework allows us to capture long-range dependencies through self-attention mechanisms.
Key facts. Cited by 50 papers in the map (data through 7 Oct 2026). Builds on 21 of its 44 references that are in the map. First posted on arXiv 4 Jun 2024.
Builds on
21 of 44 references.
References · 21
- 2017Attention Is All You Needcited by 59,932
- 2019Exploring the Limits of Transfer Learning with a Unified Text-to-Text Transformercited by 14,491
- 2016Layer Normalizationcited by 5,579
- 2020Informer: Beyond Efficient Transformer for Long Sequence Time-Series Forecastingcited by 2,141
- 2019Megatron-LM: Training Multi-Billion Parameter Language Models Using Model Parallelismcited by 1,829
- 2015Fast and Accurate Deep Network Learning by Exponential Linear Units (ELUs)cited by 1,061
- 2019Temporal Fusion Transformers for Interpretable Multi-horizon Time Series Forecastingcited by 748
- 2019Compressive Transformers for Long-Range Sequence Modellingcited by 699
- 2016Language Modeling with Gated Convolutional Networkscited by 688
- 2024KAN: Kolmogorov-Arnold Networkscited by 634
- 2020Efficient Content-Based Sparse Attention with Routing Transformerscited by 469
- 2019The Evolved Transformercited by 180
9 more
- 2020Deep Transformer Models for Time Series Forecasting: The Influenza Prevalence Casecited by 129
- 2018Temporal Pattern Attention for Multivariate Time Series Forecastingcited by 125
- 2024Wav-KAN: Wavelet Kolmogorov-Arnold Networkscited by 118
- 2019Understanding LSTM -- a tutorial into Long Short-Term Memory Recurrent Neural Networkscited by 103
- 2024Kolmogorov-Arnold Networks (KANs) for Time Series Analysiscited by 97
- 2024TKAN: Temporal Kolmogorov-Arnold Networkscited by 70
- 2019TENER: Adapting Transformer Encoder for Named Entity Recognitioncited by 69
- 2017Autoregressive Convolutional Neural Networks for Asynchronous Time Seriescited by 31
- 2021Mask Attention Networks: Rethinking and Strengthen Transformercited by 28
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Citing papers per year: 2024: 26; 2025: 20; 2026: 4.
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- 2024KAN 2.0: Kolmogorov-Arnold Networks Meet Sciencecited by 116
- 2024A Survey on Kolmogorov-Arnold Networkcited by 67
- 2024fKAN: Fractional Kolmogorov-Arnold Networks with trainable Jacobi basis functionscited by 60
- 2024KAGNNs: Kolmogorov-Arnold Networks meet Graph Learningcited by 48
- 2024Adaptive Training of Grid-Dependent Physics-Informed Kolmogorov-Arnold Networkscited by 37
- 2024KANQAS: Kolmogorov-Arnold Network for Quantum Architecture Searchcited by 36
- 2024On the expressiveness and spectral bias of KANscited by 36
- 2024CoxKAN: Kolmogorov-Arnold Networks for Interpretable, High-Performance Survival Analysiscited by 22
- 2024FC-KAN: Function Combinations in Kolmogorov-Arnold Networkscited by 18
- 2024DropKAN: Regularizing KANs by masking post-activationscited by 14
- 2024SigKAN: Signature-Weighted Kolmogorov-Arnold Networks for Time Seriescited by 13
- 2024Generalization Bounds and Model Complexity for Kolmogorov-Arnold Networkscited by 11
38 more
- 2024Exploring Kolmogorov-Arnold Networks for Interpretable Time Series Classificationcited by 8
- 2025QKAN-LSTM: Quantum-inspired Kolmogorov-Arnold Long Short-term Memorycited by 8
- 2024Deep State Space Recurrent Neural Networks for Time Series Forecastingcited by 6
- 2024Are KANs Effective for Multivariate Time Series Forecasting?cited by 6
- 2024A Gated Residual Kolmogorov-Arnold Networks for Mixtures of Expertscited by 6
- 2025Free-Knots Kolmogorov-Arnold Network: On the Analysis of Spline Knots and Advancing Stabilitycited by 6
- 2024Rethinking the Function of Neurons in KANscited by 5
- 2024FourierKAN outperforms MLP on Text Classification Head Fine-tuningcited by 5
- 2025Medical Image Classification with KAN-Integrated Transformers and Dilated Neighborhood Attentioncited by 5
- 2025Fast and Accurate Gigapixel Pathological Image Classification with Hierarchical Distillation Multi-Instance Learningcited by 5
- 2024KAN we improve on HEP classification tasks? Kolmogorov-Arnold Networks applied to an LHC physics examplecited by 4
- 2024TabKANet: Tabular Data Modeling with Kolmogorov-Arnold Network and Transformercited by 4
- 2024Incorporating Arbitrary Matrix Group Equivariance into KANscited by 4
- 2024A Temporal Linear Network for Time Series Forecastingcited by 4
- 2025Deep Learning for VWAP Execution in Crypto Markets: Beyond the Volume Curvecited by 4
- 2026LESA: Learnable Stage-Aware Predictors for Diffusion Model Accelerationcited by 4
- 2024HiPPO-KAN: Efficient KAN Model for Time Series Analysiscited by 3
- 2025SigGate: Enhancing Recurrent Neural Networks with Signature-Based Gating Mechanismscited by 3
- 2025AF-KAN: Activation Function-Based Kolmogorov-Arnold Networks for Efficient Representation Learningcited by 3
- 2025Physics-informed KAN PointNet: Deep learning for simultaneous solutions to inverse problems in incompressible flow on numerous irregular geometriescited by 3
- 2025TFKAN: Time-Frequency KAN for Long-Term Time Series Forecastingcited by 3
- 2025Interpretable Clinical Classification with Kolmogorov-Arnold Networkscited by 3
- 2024Kolmogorov Arnold Networks in Fraud Detection: Bridging the Gap Between Theory and Practicecited by 2
- 2025Recurrent Neural Networks for Dynamic VWAP Execution: Adaptive Trading Strategies with Temporal Kolmogorov-Arnold Networkscited by 2
- 2025VWAP Execution with Signature-Enhanced Transformers: A Multi-Asset Learning Approachcited by 1
- 2025LEMs: A Primer On Large Execution Modelscited by 1
- 2025Uncertainty Quantification for Scientific Machine Learning using Sparse Variational Gaussian Process Kolmogorov-Arnold Networks (SVGP KAN)cited by 1
- 2026Optimization, Generalization and Differential Privacy Bounds for Gradient Descent on Kolmogorov-Arnold Networkscited by 1
- 2026SechKAN: Kolmogorov-Arnold Networks with Hyperbolic Secant Functionscited by 1
- 2024On the Convergence of (Stochastic) Gradient Descent for Kolmogorov--Arnold Networkscited by 0
- 2024Can KAN Work? Exploring the Potential of Kolmogorov-Arnold Networks in Computer Visioncited by 0
- 2025HKAN: Hierarchical Kolmogorov-Arnold Network without Backpropagationcited by 0
- 2025STAN: Smooth Transition Autoregressive Networkscited by 0
- 2025NukesFormers: Unpaired Hyperspectral Image Generation with Non-Uniform Domain Alignmentcited by 0
- 2025Combinations of Fast Activation and Trigonometric Functions in Kolmogorov-Arnold Networkscited by 0
- 2025KANFormer for Predicting Fill Probabilities via Survival Analysis in Limit Order Bookscited by 0
- 2025Sprecher Networks: A Parameter-Efficient Kolmogorov-Arnold Architecturecited by 0
- 2026Evaluating the Effectiveness of SechKAN on 1D Datacited by 0
- 2026Evaluating the Effectiveness of SechKAN on 1D Data22 Sep 2026
- 2026SechKAN: Kolmogorov-Arnold Networks with Hyperbolic Secant Functions30 Jun 2026
- 2026LESA: Learnable Stage-Aware Predictors for Diffusion Model Acceleration24 Feb 2026
- 2026Optimization, Generalization and Differential Privacy Bounds for Gradient Descent on Kolmogorov-Arnold Networks29 Jan 2026
- 2025Sprecher Networks: A Parameter-Efficient Kolmogorov-Arnold Architecture22 Dec 2025
- 2025KANFormer for Predicting Fill Probabilities via Survival Analysis in Limit Order Books5 Dec 2025
- 2025Uncertainty Quantification for Scientific Machine Learning using Sparse Variational Gaussian Process Kolmogorov-Arnold Networks (SVGP KAN)4 Dec 2025
- 2025QKAN-LSTM: Quantum-inspired Kolmogorov-Arnold Long Short-term Memory4 Dec 2025
- 2025LEMs: A Primer On Large Execution Models21 Sep 2025
- 2025Interpretable Clinical Classification with Kolmogorov-Arnold Networks20 Sep 2025
- 2025Combinations of Fast Activation and Trigonometric Functions in Kolmogorov-Arnold Networks16 Aug 2025
- 2025TFKAN: Time-Frequency KAN for Long-Term Time Series Forecasting15 Jun 2025
38 more
- 2025Physics-informed KAN PointNet: Deep learning for simultaneous solutions to inverse problems in incompressible flow on numerous irregular geometries8 Apr 2025
- 2025NukesFormers: Unpaired Hyperspectral Image Generation with Non-Uniform Domain Alignment10 Mar 2025
- 2025AF-KAN: Activation Function-Based Kolmogorov-Arnold Networks for Efficient Representation Learning8 Mar 2025
- 2025VWAP Execution with Signature-Enhanced Transformers: A Multi-Asset Learning Approach4 Mar 2025
- 2025Fast and Accurate Gigapixel Pathological Image Classification with Hierarchical Distillation Multi-Instance Learning28 Feb 2025
- 2025Recurrent Neural Networks for Dynamic VWAP Execution: Adaptive Trading Strategies with Temporal Kolmogorov-Arnold Networks25 Feb 2025
- 2025Deep Learning for VWAP Execution in Crypto Markets: Beyond the Volume Curve19 Feb 2025
- 2025Medical Image Classification with KAN-Integrated Transformers and Dilated Neighborhood Attention19 Feb 2025
- 2025SigGate: Enhancing Recurrent Neural Networks with Signature-Based Gating Mechanisms13 Feb 2025
- 2025STAN: Smooth Transition Autoregressive Networks30 Jan 2025
- 2025HKAN: Hierarchical Kolmogorov-Arnold Network without Backpropagation30 Jan 2025
- 2025Free-Knots Kolmogorov-Arnold Network: On the Analysis of Spline Knots and Advancing Stability16 Jan 2025
- 2024Exploring Kolmogorov-Arnold Networks for Interpretable Time Series Classification22 Nov 2024
- 2024Can KAN Work? Exploring the Potential of Kolmogorov-Arnold Networks in Computer Vision11 Nov 2024
- 2024A Survey on Kolmogorov-Arnold Network9 Nov 2024
- 2024A Temporal Linear Network for Time Series Forecasting28 Oct 2024
- 2024HiPPO-KAN: Efficient KAN Model for Time Series Analysis19 Oct 2024
- 2024On the Convergence of (Stochastic) Gradient Descent for Kolmogorov--Arnold Networks10 Oct 2024
- 2024Generalization Bounds and Model Complexity for Kolmogorov-Arnold Networks10 Oct 2024
- 2024On the expressiveness and spectral bias of KANs2 Oct 2024
- 2024Incorporating Arbitrary Matrix Group Equivariance into KANs1 Oct 2024
- 2024A Gated Residual Kolmogorov-Arnold Networks for Mixtures of Experts23 Sep 2024
- 2024TabKANet: Tabular Data Modeling with Kolmogorov-Arnold Network and Transformer13 Sep 2024
- 2024CoxKAN: Kolmogorov-Arnold Networks for Interpretable, High-Performance Survival Analysis6 Sep 2024
- 2024FC-KAN: Function Combinations in Kolmogorov-Arnold Networks3 Sep 2024
- 2024Are KANs Effective for Multivariate Time Series Forecasting?21 Aug 2024
- 2024KAN 2.0: Kolmogorov-Arnold Networks Meet Science19 Aug 2024
- 2024FourierKAN outperforms MLP on Text Classification Head Fine-tuning16 Aug 2024
- 2024Kolmogorov Arnold Networks in Fraud Detection: Bridging the Gap Between Theory and Practice15 Aug 2024
- 2024KAN we improve on HEP classification tasks? Kolmogorov-Arnold Networks applied to an LHC physics example5 Aug 2024
- 2024Rethinking the Function of Neurons in KANs30 Jul 2024
- 2024Adaptive Training of Grid-Dependent Physics-Informed Kolmogorov-Arnold Networks24 Jul 2024
- 2024Deep State Space Recurrent Neural Networks for Time Series Forecasting21 Jul 2024
- 2024DropKAN: Regularizing KANs by masking post-activations17 Jul 2024
- 2024KAGNNs: Kolmogorov-Arnold Networks meet Graph Learning26 Jun 2024
- 2024SigKAN: Signature-Weighted Kolmogorov-Arnold Networks for Time Series25 Jun 2024
- 2024KANQAS: Kolmogorov-Arnold Network for Quantum Architecture Search25 Jun 2024
- 2024fKAN: Fractional Kolmogorov-Arnold Networks with trainable Jacobi basis functions11 Jun 2024
- 2024KAN 2.0: Kolmogorov-Arnold Networks Meet Sciencecited by 116
- 2024A Survey on Kolmogorov-Arnold Networkcited by 67
- 2024fKAN: Fractional Kolmogorov-Arnold Networks with trainable Jacobi basis functionscited by 60
- 2024KAGNNs: Kolmogorov-Arnold Networks meet Graph Learningcited by 48
- 2024Adaptive Training of Grid-Dependent Physics-Informed Kolmogorov-Arnold Networkscited by 37
- 2024KANQAS: Kolmogorov-Arnold Network for Quantum Architecture Searchcited by 36
- 2024On the expressiveness and spectral bias of KANscited by 36
- 2024CoxKAN: Kolmogorov-Arnold Networks for Interpretable, High-Performance Survival Analysiscited by 22
- 2024FC-KAN: Function Combinations in Kolmogorov-Arnold Networkscited by 18
- 2024DropKAN: Regularizing KANs by masking post-activationscited by 14
- 2024SigKAN: Signature-Weighted Kolmogorov-Arnold Networks for Time Seriescited by 13
- 2024Generalization Bounds and Model Complexity for Kolmogorov-Arnold Networkscited by 11
12 most cited of 47 All 47 (JSON)
- 2026Evaluating the Effectiveness of SechKAN on 1D Data22 Sep 2026
- 2026SechKAN: Kolmogorov-Arnold Networks with Hyperbolic Secant Functions30 Jun 2026
- 2026Optimization, Generalization and Differential Privacy Bounds for Gradient Descent on Kolmogorov-Arnold Networks29 Jan 2026
- 2025Sprecher Networks: A Parameter-Efficient Kolmogorov-Arnold Architecture22 Dec 2025
- 2025KANFormer for Predicting Fill Probabilities via Survival Analysis in Limit Order Books5 Dec 2025
- 2025Uncertainty Quantification for Scientific Machine Learning using Sparse Variational Gaussian Process Kolmogorov-Arnold Networks (SVGP KAN)4 Dec 2025
- 2025QKAN-LSTM: Quantum-inspired Kolmogorov-Arnold Long Short-term Memory4 Dec 2025
- 2025LEMs: A Primer On Large Execution Models21 Sep 2025
- 2025Interpretable Clinical Classification with Kolmogorov-Arnold Networks20 Sep 2025
- 2025Combinations of Fast Activation and Trigonometric Functions in Kolmogorov-Arnold Networks16 Aug 2025
- 2025TFKAN: Time-Frequency KAN for Long-Term Time Series Forecasting15 Jun 2025
- 2025Physics-informed KAN PointNet: Deep learning for simultaneous solutions to inverse problems in incompressible flow on numerous irregular geometries8 Apr 2025
12 newest of 47 All 47 (JSON)