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Kolmogorov-Arnold Networks (KANs) offer a promising framework for approximating complex nonlinear functions, yet the original B-spline formulation suffers from significant computational overhead due to De Boor algorithm. While recent…

Machine Learning · Computer Science 2026-02-10 Shao-Ting Chiu , Siu Wun Cheung , Ulisses Braga-Neto , Chak Shing Lee , Rui Peng Li

The need for scalable and expressive models in machine learning is paramount, particularly in applications requiring both structural depth and flexibility. Traditional deep learning methods, such as multilayer perceptrons (MLP), offer depth…

Machine Learning · Computer Science 2024-08-01 Shrenik Zinage , Sudeepta Mondal , Soumalya Sarkar

Kolmogorov-Arnold Networks (KANs) approximate multivariate functions using learnable univariate edge functions, typically parameterized by B-spline bases. Although effective, spline-based implementations can be computationally expensive. A…

Machine Learning · Statistics 2026-05-22 Roberto Cavoretto , Alessandra De Rossi , Adeeba Haider , Amir Noorizadegan

Kolmogorov-Arnold Networks (KANs) have emerged as a promising alternative to traditional Multilayer Perceptrons (MLPs) in deep learning. KANs have already been integrated into various architectures, such as convolutional neural networks,…

Machine Learning · Computer Science 2025-03-04 Ali Kashefi

Deep learning methods have been widely used as an end-to-end modeling strategy of electrical energy systems because of their conveniency and powerful pattern recognition capability. However, due to the "closed-box" nature, deep learning…

Signal Processing · Electrical Eng. & Systems 2026-05-12 Zhenghao Zhou , Yiyan Li , Zelin Guo , Zheng Yan , Mo-Yuen Chow

Tabular data analysis presents unique challenges that arise from heterogeneous feature types, missing values, and complex feature interactions. While traditional machine learning methods like gradient boosting often outperform deep…

Machine Learning · Computer Science 2025-12-10 Ali Eslamian , Alireza Afzal Aghaei , Qiang Cheng

Federated Kolmogorov-Arnold Networks (F-KANs) have already been proposed, but their assessment is at an initial stage. We present a comparison between KANs (using B-splines and Radial Basis Functions as activation functions) and Multi-…

Machine Learning · Computer Science 2024-10-14 Arthur Mendonça Sasse , Claudio Miceli de Farias

Although Kolmogorov-Arnold-based interpretable networks (KANs) possess strong theoretical expressiveness, they suffer from severe parameter explosion and limited ability to capture high-frequency features in high-dimensional tasks. To…

Machine Learning · Computer Science 2026-05-26 Jusheng Zhang , Yijia Fan , Kaitong Cai , Keze Wang , Wenhao Wang

We introduce Graph Kolmogorov-Arnold Networks (GKAN), an innovative neural network architecture that extends the principles of the recently proposed Kolmogorov-Arnold Networks (KAN) to graph-structured data. By adopting the unique…

Machine Learning · Computer Science 2024-06-11 Mehrdad Kiamari , Mohammad Kiamari , Bhaskar Krishnamachari

DreamerV3 is a state-of-the-art online model-based reinforcement learning (MBRL) algorithm known for remarkable sample efficiency. Concurrently, Kolmogorov-Arnold Networks (KANs) have emerged as a promising alternative to Multi-Layer…

Machine Learning · Computer Science 2025-12-09 Chenwei Shi , Xueyu Luan

The domain of laser fusion presents a unique and challenging predictive modeling application landscape for machine learning methods due to high problem complexity and limited training data. Data-driven approaches utilizing prescribed…

Machine Learning · Computer Science 2024-09-16 Rahman Ejaz , Varchas Gopalaswamy , Riccardo Betti , Aarne Lees , Christopher Kanan

Kolmogorov-Arnold Network (KAN) is a novel multi-layer neuromorphic network. Many groups worldwide have studied this network, including image processing, time series analysis, solving physical problems, and practical applications such as…

Quantum Physics · Physics 2025-06-05 Hikaru Wakaura , Rahmat Mulyawan , Andriyan B. Suksmono

The memory wall problem arises due to the disparity between fast processors and slower memory, causing significant delays in data access, even more so on edge devices. Data prefetching is a key strategy to address this, with traditional…

Hardware Architecture · Computer Science 2025-04-15 Dhruv Kulkarni , Bharat Bhammar , Henil Thaker , Pranav Dhobi , R. P. Gohil , Sai Manoj Pudukotai Dinkarrao

In this paper, we introduce FC-KAN, a Kolmogorov-Arnold Network (KAN) that leverages combinations of popular mathematical functions such as B-splines, wavelets, and radial basis functions on low-dimensional data through element-wise…

Machine Learning · Computer Science 2026-03-17 Hoang-Thang Ta , Duy-Quy Thai , Abu Bakar Siddiqur Rahman , Grigori Sidorov , Alexander Gelbukh

The Kolmogorov-Arnold representation theorem offers a theoretical alternative to Multi-Layer Perceptrons (MLPs) by placing learnable univariate functions on edges rather than nodes. While recent implementations such as Kolmogorov-Arnold…

Machine Learning · Computer Science 2026-01-28 Oscar Eliasson

Kolmogorov-Arnold Networks (KANs) were recently introduced as an alternative representation model to MLP. Herein, we employ KANs to construct physics-informed machine learning models (PIKANs) and deep operator models (DeepOKANs) for solving…

Machine Learning · Computer Science 2024-06-06 Khemraj Shukla , Juan Diego Toscano , Zhicheng Wang , Zongren Zou , George Em Karniadakis

Scientific discovery and dynamic characterization of the physical system play a critical role in understanding, learning, and modeling the physical phenomena and behaviors in various fields. Although theories and laws of many system…

Optics · Physics 2025-04-29 Xiaotian Jiang , Min Zhang , Xiao Luo , Zelai Yu , Yiming Meng , Danshi Wang

Permutation equivariant neural networks employing parameter-sharing schemes have emerged as powerful models for leveraging a wide range of data symmetries, significantly enhancing the generalization and computational efficiency of the…

Machine Learning · Computer Science 2026-03-10 Ran Elbaz , Guy Bar-Shalom , Yam Eitan , Fabrizio Frasca , Haggai Maron

Kolmogorov-Arnold Networks (KANs) have gained attention for their potential to outperform Multi-Layer Perceptrons (MLPs) in terms of parameter efficiency and interpretability. Unlike traditional MLPs, KANs use learnable non-linear…

Hardware Architecture · Computer Science 2026-03-19 Sohaib Errabii , Olivier Sentieys , Marcello Traiola

We investigate the integration of Kolmogorov-Arnold Networks (KANs) into hard-constrained recurrent physics-informed architectures (HRPINN) to evaluate the fidelity of learned residual manifolds in oscillatory systems. Motivated by the…

Machine Learning · Computer Science 2026-03-06 Enzo Nicolas Spotorno , Josafat Leal Filho , Antonio Augusto Medeiros Frohlich