Demonstrating the Efficacy of Kolmogorov-Arnold Networks in Vision Tasks
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Abstract (arXiv)
In the realm of deep learning, the Kolmogorov-Arnold Network (KAN) has emerged as a potential alternative to multilayer projections (MLPs). However, its applicability to vision tasks has not been extensively validated. In our study, we demonstrated the effectiveness of KAN for vision tasks through multiple trials on the MNIST, CIFAR10, and CIFAR100 datasets, using a training batch size of 32. Our results showed that while KAN outperformed the original MLP-Mixer on CIFAR10 and CIFAR100, it performed slightly worse than the state-of-the-art ResNet-18. These findings suggest that KAN holds significant promise for vision tasks, and further modifications could enhance its performance in future evaluations.Our contributions are threefold: first, we showcase the efficiency of KAN-based algorithms for visual tasks; second, we provide extensive empirical assessments across various vision benchmarks, comparing KAN's performance with MLP-Mixer, CNNs, and Vision Transformers (ViT); and third, we pioneer the use of natural KAN layers in visual tasks, addressing a gap in previous research. This paper lays the foundation for future studies on KANs, highlighting their potential as a reliable alternative for image classification tasks.
Key facts. Cited by 39 papers in the map (data through 7 Oct 2026). Builds on 5 of its 7 references that are in the map. First posted on arXiv 21 Jun 2024.
Builds on
5 of 7 references.
References · 5
- 2021MLP-Mixer: An all-MLP Architecture for Visioncited by 1,441
- 2024KAN: Kolmogorov-Arnold Networkscited by 634
- 2024DeepOKAN: Deep Operator Network Based on Kolmogorov Arnold Networks for Mechanics Problemscited by 82
- 2024Kolmogorov-Arnold Network for Satellite Image Classification in Remote Sensingcited by 46
- 2023On the Kolmogorov neural networkscited by 19
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Citing papers per year: 2024: 17; 2025: 14; 2026: 8.
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- 2024KAN 2.0: Kolmogorov-Arnold Networks Meet Sciencecited by 116
- 2024A Survey on Kolmogorov-Arnold Networkcited by 67
- 2024Kolmogorov-Arnold Transformercited by 56
- 2024On the expressiveness and spectral bias of KANscited by 36
- 2024FC-KAN: Function Combinations in Kolmogorov-Arnold Networkscited by 18
- 2024DropKAN: Regularizing KANs by masking post-activationscited by 14
- 2024F-KANs: Federated Kolmogorov-Arnold Networkscited by 14
- 2024Multifidelity Kolmogorov-Arnold Networkscited by 9
- 2024Rethinking the Function of Neurons in KANscited by 5
- 2024KAN we improve on HEP classification tasks? Kolmogorov-Arnold Networks applied to an LHC physics examplecited by 4
- 2024Incorporating Arbitrary Matrix Group Equivariance into KANscited by 4
- 2025Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinementcited by 4
27 more
- 2024KAN v.s. MLP for Offline Reinforcement Learningcited 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
- 2025Conformalized-KANs: Uncertainty Quantification with Coverage Guarantees for Kolmogorov-Arnold Networks (KANs) in Scientific Machine Learningcited by 3
- 2024Kolmogorov Arnold Networks in Fraud Detection: Bridging the Gap Between Theory and Practicecited by 2
- 2024HSR-KAN: Efficient Hyperspectral Image Super-Resolution via Kolmogorov-Arnold Networkscited by 2
- 2024P1-KAN: an effective Kolmogorov-Arnold network with application to hydraulic valley optimizationcited by 2
- 2024KAT to KANs: A Review of Kolmogorov-Arnold Networks and the Neural Leap Forwardcited by 1
- 2025Kolmogorov-Arnold Network for Remote Sensing Image Semantic Segmentationcited by 1
- 2025Efficiency Bottlenecks of Convolutional Kolmogorov-Arnold Networks: A Comprehensive Scrutiny with ImageNet, AlexNet, LeNet and Tabular Classificationcited by 1
- 2025Improving Brain Disorder Diagnosis with Advanced Brain Function Representation and Kolmogorov-Arnold Networkscited by 1
- 2025MLPs and KANs for data-driven learning in physical problems: A performance comparisoncited by 1
- 2025Enhancing Federated Learning with Kolmogorov-Arnold Networks: A Comparative Study Across Diverse Aggregation Strategiescited by 1
- 2025SPPSFormer: High-quality Superpoint-based Transformer for Roof Plane Instance Segmentation from Point Cloudscited by 1
- 2025Bridging KAN and MLP: MJKAN, a Hybrid Architecture with Both Efficiency and Expressivenesscited by 1
- 2026TruKAN: Towards More Efficient Kolmogorov-Arnold Networks Using Truncated Power Functionscited by 1
- 2026Multilevel Training for Kolmogorov Arnold Networkscited by 1
- 2026Hardware-Oriented Inference Complexity of 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
- 2025Capsule-ConvKAN: A Hybrid Neural Approach to Medical Image Classificationcited by 0
- 2025Combinations of Fast Activation and Trigonometric Functions in Kolmogorov-Arnold Networkscited by 0
- 2025Algorithms and data structures for automatic precision estimation of neural networkscited by 0
- 2026ABFR-KAN: Kolmogorov-Arnold Networks for Functional Brain Analysiscited by 0
- 2026An Efficient Additive Kolmogorov-Arnold Transformer for Point-Level Maize Localization in Unmanned Aerial Vehicle Imagerycited by 0
- 2026Demystifying KAN for Vision Tasks: The RepKAN Approachcited by 0
- 2026KAN-CL: Per-Knot Importance Regularization for Continual Learning with Kolmogorov-Arnold Networkscited by 0
- 2026SechKAN: Kolmogorov-Arnold Networks with Hyperbolic Secant Functions30 Jun 2026
- 2026KAN-CL: Per-Knot Importance Regularization for Continual Learning with Kolmogorov-Arnold Networks12 May 2026
- 2026Hardware-Oriented Inference Complexity of Kolmogorov-Arnold Networks3 Apr 2026
- 2026Demystifying KAN for Vision Tasks: The RepKAN Approach6 Mar 2026
- 2026Multilevel Training for Kolmogorov Arnold Networks5 Mar 2026
- 2026TruKAN: Towards More Efficient Kolmogorov-Arnold Networks Using Truncated Power Functions2 Feb 2026
- 2026An Efficient Additive Kolmogorov-Arnold Transformer for Point-Level Maize Localization in Unmanned Aerial Vehicle Imagery12 Jan 2026
- 2026ABFR-KAN: Kolmogorov-Arnold Networks for Functional Brain Analysis1 Jan 2026
- 2025Algorithms and data structures for automatic precision estimation of neural networks29 Sep 2025
- 2025Combinations of Fast Activation and Trigonometric Functions in Kolmogorov-Arnold Networks16 Aug 2025
- 2025Capsule-ConvKAN: A Hybrid Neural Approach to Medical Image Classification8 Jul 2025
- 2025Bridging KAN and MLP: MJKAN, a Hybrid Architecture with Both Efficiency and Expressiveness7 Jul 2025
27 more
- 2025SPPSFormer: High-quality Superpoint-based Transformer for Roof Plane Instance Segmentation from Point Clouds30 May 2025
- 2025Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement23 May 2025
- 2025Enhancing Federated Learning with Kolmogorov-Arnold Networks: A Comparative Study Across Diverse Aggregation Strategies12 May 2025
- 2025Conformalized-KANs: Uncertainty Quantification with Coverage Guarantees for Kolmogorov-Arnold Networks (KANs) in Scientific Machine Learning21 Apr 2025
- 2025MLPs and KANs for data-driven learning in physical problems: A performance comparison15 Apr 2025
- 2025Physics-informed KAN PointNet: Deep learning for simultaneous solutions to inverse problems in incompressible flow on numerous irregular geometries8 Apr 2025
- 2025Improving Brain Disorder Diagnosis with Advanced Brain Function Representation and Kolmogorov-Arnold Networks4 Apr 2025
- 2025AF-KAN: Activation Function-Based Kolmogorov-Arnold Networks for Efficient Representation Learning8 Mar 2025
- 2025Efficiency Bottlenecks of Convolutional Kolmogorov-Arnold Networks: A Comprehensive Scrutiny with ImageNet, AlexNet, LeNet and Tabular Classification27 Jan 2025
- 2025Kolmogorov-Arnold Network for Remote Sensing Image Semantic Segmentation13 Jan 2025
- 2024KAT to KANs: A Review of Kolmogorov-Arnold Networks and the Neural Leap Forward15 Nov 2024
- 2024A Survey on Kolmogorov-Arnold Network9 Nov 2024
- 2024Multifidelity Kolmogorov-Arnold Networks18 Oct 2024
- 2024On the Convergence of (Stochastic) Gradient Descent for Kolmogorov--Arnold Networks10 Oct 2024
- 2024P1-KAN: an effective Kolmogorov-Arnold network with application to hydraulic valley optimization4 Oct 2024
- 2024On the expressiveness and spectral bias of KANs2 Oct 2024
- 2024Incorporating Arbitrary Matrix Group Equivariance into KANs1 Oct 2024
- 2024Kolmogorov-Arnold Transformer16 Sep 2024
- 2024KAN v.s. MLP for Offline Reinforcement Learning15 Sep 2024
- 2024FC-KAN: Function Combinations in Kolmogorov-Arnold Networks3 Sep 2024
- 2024HSR-KAN: Efficient Hyperspectral Image Super-Resolution via Kolmogorov-Arnold Networks24 Aug 2024
- 2024KAN 2.0: Kolmogorov-Arnold Networks Meet Science19 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
- 2024F-KANs: Federated Kolmogorov-Arnold Networks29 Jul 2024
- 2024DropKAN: Regularizing KANs by masking post-activations17 Jul 2024
- 2024KAN v.s. MLP for Offline Reinforcement Learningcited by 3
- 2024KAN v.s. MLP for Offline Reinforcement Learning15 Sep 2024
- 2024KAN 2.0: Kolmogorov-Arnold Networks Meet Sciencecited by 116
- 2024A Survey on Kolmogorov-Arnold Networkcited by 67
- 2024Kolmogorov-Arnold Transformercited by 56
- 2024On the expressiveness and spectral bias of KANscited by 36
- 2024FC-KAN: Function Combinations in Kolmogorov-Arnold Networkscited by 18
- 2024DropKAN: Regularizing KANs by masking post-activationscited by 14
- 2024F-KANs: Federated Kolmogorov-Arnold Networkscited by 14
- 2024Multifidelity Kolmogorov-Arnold Networkscited by 9
- 2024Rethinking the Function of Neurons in KANscited by 5
- 2024KAN we improve on HEP classification tasks? Kolmogorov-Arnold Networks applied to an LHC physics examplecited by 4
- 2024Incorporating Arbitrary Matrix Group Equivariance into KANscited by 4
- 2025Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinementcited by 4
12 most cited of 38 All 38 (JSON)
- 2026SechKAN: Kolmogorov-Arnold Networks with Hyperbolic Secant Functions30 Jun 2026
- 2026KAN-CL: Per-Knot Importance Regularization for Continual Learning with Kolmogorov-Arnold Networks12 May 2026
- 2026Hardware-Oriented Inference Complexity of Kolmogorov-Arnold Networks3 Apr 2026
- 2026Demystifying KAN for Vision Tasks: The RepKAN Approach6 Mar 2026
- 2026Multilevel Training for Kolmogorov Arnold Networks5 Mar 2026
- 2026TruKAN: Towards More Efficient Kolmogorov-Arnold Networks Using Truncated Power Functions2 Feb 2026
- 2026An Efficient Additive Kolmogorov-Arnold Transformer for Point-Level Maize Localization in Unmanned Aerial Vehicle Imagery12 Jan 2026
- 2026ABFR-KAN: Kolmogorov-Arnold Networks for Functional Brain Analysis1 Jan 2026
- 2025Algorithms and data structures for automatic precision estimation of neural networks29 Sep 2025
- 2025Combinations of Fast Activation and Trigonometric Functions in Kolmogorov-Arnold Networks16 Aug 2025
- 2025Capsule-ConvKAN: A Hybrid Neural Approach to Medical Image Classification8 Jul 2025
- 2025Bridging KAN and MLP: MJKAN, a Hybrid Architecture with Both Efficiency and Expressiveness7 Jul 2025
12 newest of 38 All 38 (JSON)