Residual Kolmogorov-Arnold Network for Enhanced Deep Learning
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Abstract (arXiv)
Despite their immense success, deep convolutional neural networks (CNNs) can be difficult to optimize and costly to train due to hundreds of layers within the network depth. Conventional convolutional operations are fundamentally limited by their linear nature along with fixed activations, where many layers are needed to learn meaningful patterns in data. Because of the sheer size of these networks, this approach is simply computationally inefficient, and poses overfitting or gradient explosion risks, especially in small datasets. As a result, we introduce a "plug-in" module, called Residual Kolmogorov-Arnold Network (RKAN). Our module is highly compact, so it can be easily added into any stage (level) of traditional deep networks, where it learns to integrate supportive polynomial feature transformations to existing convolutional frameworks. RKAN offers consistent improvements over baseline models in different vision tasks and widely tested benchmarks, accomplishing cutting-edge performance on them.
Key facts. Cited by 5 papers in the map (data through 7 Oct 2026). Builds on 65 of its 91 references that are in the map. First posted on arXiv 7 Oct 2024.
Builds on
65 of 91 references.
References · 65
- 2015Deep Residual Learning for Image Recognitioncited by 51,809
- 2020An Image is Worth 16x16 Words: Transformers for Image Recognition at Scalecited by 29,915
- 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,160
- 2014Microsoft COCO: Common Objects in Contextcited by 17,498
- 2014Very Deep Convolutional Networks for Large-Scale Image Recognitioncited by 15,267
- 2021Swin Transformer: Hierarchical Vision Transformer using Shifted Windowscited by 12,082
- 2017Mask R-CNNcited by 7,259
- 2015Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shiftcited by 6,979
- 2016Densely Connected Convolutional Networkscited by 6,691
- 2017mixup: Beyond Empirical Risk Minimizationcited by 5,155
- 2016Feature Pyramid Networks for Object Detectioncited by 5,021
- 2016SGDR: Stochastic Gradient Descent with Warm Restartscited by 4,993
38 more
- 2017Squeeze-and-Excitation Networkscited by 4,763
- 2022A ConvNet for the 2020scited by 3,545
- 2016Wide Residual Networkscited by 3,057
- 2019CutMix: Regularization Strategy to Train Strong Classifiers with Localizable Featurescited by 2,875
- 2016Aggregated Residual Transformations for Deep Neural Networkscited by 2,540
- 2018CBAM: Convolutional Block Attention Modulecited by 2,463
- 2013Visualizing and Understanding Convolutional Networkscited by 2,278
- 2019RandAugment: Practical automated data augmentation with a reduced search spacecited by 2,261
- 2013Describing Textures in the Wildcited by 2,110
- 2016Understanding deep learning requires rethinking generalizationcited by 1,657
- 2017Accurate, Large Minibatch SGD: Training ImageNet in 1 Hourcited by 1,479
- 2014How transferable are features in deep neural networks?cited by 1,216
- 2021EfficientNetV2: Smaller Models and Faster Trainingcited by 1,127
- 2016SqueezeNet: AlexNet-level accuracy with 50x fewer parameters and <0.5MB model sizecited by 1,054
- 2020Designing Network Design Spacescited by 954
- 2017A Closer Look at Memorization in Deep Networkscited by 936
- 2018Path Aggregation Network for Instance Segmentationcited by 796
- 2024KAN: Kolmogorov-Arnold Networkscited by 634
- 2015Cyclical Learning Rates for Training Neural Networkscited by 627
- 2019ECA-Net: Efficient Channel Attention for Deep Convolutional Neural Networkscited by 572
- 2021CoAtNet: Marrying Convolution and Attention for All Data Sizescited by 566
- 2018Do Better ImageNet Models Transfer Better?cited by 560
- 2017Understanding the Effective Receptive Field in Deep Convolutional Neural Networkscited by 549
- 2022MaxViT: Multi-Axis Vision Transformercited by 476
- 2019Res2Net: A New Multi-scale Backbone Architecturecited by 468
- 2020ResNeSt: Split-Attention Networkscited by 445
- 2017Deep Layer Aggregationcited by 436
- 2018Bag of Tricks for Image Classification with Convolutional Neural Networkscited by 430
- 2021Gradient Descent on Neural Networks Typically Occurs at the Edge of Stabilitycited by 413
- 2019CSPNet: A New Backbone that can Enhance Learning Capability of CNNcited by 381
- 2018Rethinking ImageNet Pre-trainingcited by 376
- 2019GCNet: Non-local Networks Meet Squeeze-Excitation Networks and Beyondcited by 331
- 2016On the Expressive Power of Deep Neural Networkscited by 302
- 2019A Survey of the Recent Architectures of Deep Convolutional Neural Networkscited by 211
- 2023EfficientViT: Memory Efficient Vision Transformer with Cascaded Group Attentioncited by 172
- 2016Deep Pyramidal Residual Networkscited by 163
- 2023FastViT: A Fast Hybrid Vision Transformer using Structural Reparameterizationcited by 161
- 2024Kolmogorov-Arnold Networks are Radial Basis Function Networkscited by 125
50 most cited of 65 All 65 (JSON)
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Citing papers per year: 2024: 1; 2025: 3; 2026: 1.
5 papers.
- 2024A Survey on Kolmogorov-Arnold Networkcited by 67
- 2025Interpretable Clinical Classification with Kolmogorov-Arnold Networkscited by 3
- 2025CausalKANs: interpretable treatment effect estimation with Kolmogorov-Arnold networkscited by 2
- 2025HKAN: Hierarchical Kolmogorov-Arnold Network without Backpropagationcited by 0
- 2026Clifford Kolmogorov-Arnold Networkscited by 0
- 2026Clifford Kolmogorov-Arnold Networks5 Feb 2026
- 2025CausalKANs: interpretable treatment effect estimation with Kolmogorov-Arnold networks26 Sep 2025
- 2025Interpretable Clinical Classification with Kolmogorov-Arnold Networks20 Sep 2025
- 2025HKAN: Hierarchical Kolmogorov-Arnold Network without Backpropagation30 Jan 2025
- 2024A Survey on Kolmogorov-Arnold Network9 Nov 2024