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Symbolic discovery of governing equations is a long-standing goal in scientific machine learning, yet a fundamental trade-off persists between interpretability and scalable learning. Classical symbolic regression methods yield explicit…

Machine Learning · Computer Science 2026-03-26 Salah A Faroughi , Farinaz Mostajeran , Amirhossein Arzani , Shirko Faroughi

Symbolic neural networks, such as Kolmogorov-Arnold Networks (KAN), offer a promising approach for integrating prior knowledge with data-driven methods, making them valuable for addressing inverse problems in scientific and engineering…

Machine Learning · Computer Science 2024-11-05 Xia Chen , Guoquan Lv , Xinwei Zhuang , Carlos Duarte , Stefano Schiavon , Philipp Geyer

Semantic segmentation plays a crucial role in remote sensing applications, where the accurate extraction and representation of features are essential for high-quality results. Despite the widespread use of encoder-decoder architectures,…

Computer Vision and Pattern Recognition · Computer Science 2025-01-14 Xianping Ma , Ziyao Wang , Yin Hu , Xiaokang Zhang , Man-On Pun

Kolmogorov--Arnold Networks (KANs), a recently proposed neural network architecture, have gained significant attention in the deep learning community, due to their potential as a viable alternative to multi-layer perceptrons (MLPs) and…

Machine Learning · Computer Science 2024-10-11 Yihang Gao , Vincent Y. F. Tan

This paper introduces Kolmogorov-Arnold Networks (KAN) as an enhancement to the traditional linear probing method in transfer learning. Linear probing, often applied to the final layer of pre-trained models, is limited by its inability to…

Machine Learning · Computer Science 2024-09-13 Sheng Shen , Rabih Younes

The ``black-box'' nature of deep learning models presents a significant barrier to their adoption for scientific discovery, where interpretability is paramount. This challenge is especially pronounced in discovering the governing equations…

Machine Learning · Computer Science 2025-08-26 Riccardo Cappi , Paolo Frazzetto , Nicolò Navarin , Alessandro Sperduti

In this paper, we present Convolutional Kolmogorov-Arnold Networks, a novel architecture that integrates the learnable spline-based activation functions of Kolmogorov-Arnold Networks (KANs) into convolutional layers. By replacing…

Computer Vision and Pattern Recognition · Computer Science 2025-04-01 Alexander Dylan Bodner , Antonio Santiago Tepsich , Jack Natan Spolski , Santiago Pourteau

While most modern machine learning methods offer speed and accuracy, few promise interpretability or explainability -- two key features necessary for highly sensitive industries, like medicine, finance, and engineering. Using eight datasets…

Machine Learning · Computer Science 2025-04-08 Nataly R. Panczyk , Omer F. Erdem , Majdi I. Radaideh

Kolmogorov-Arnold Networks (KANs) relocate learnable nonlinearities from nodes to edges, demonstrating remarkable capabilities in scientific machine learning and interpretable modeling. However, current KAN implementations suffer from…

Neural and Evolutionary Computing · Computer Science 2025-09-25 Alastair Poole , Stig McArthur , Saravan Kumar

Kolmogorov-Arnold Networks (KANs) offer a promising path toward interpretable machine learning: their learnable activations can be studied individually, while collectively fitting complex data accurately. In practice, however, trained…

Machine Learning · Computer Science 2025-12-10 James Bagrow , Josh Bongard

By utilising their adaptive activation functions, Kolmogorov-Arnold Networks (KANs) can be applied in a novel way for the diverse machine learning tasks, including cyber threat detection. KANs substitute conventional linear weights with…

Cryptography and Security · Computer Science 2026-04-01 Mohammed Hassanin

Kolmogorov-Arnold Networks (KAN) is a groundbreaking model recently proposed by the MIT team, representing a revolutionary approach with the potential to be a game-changer in the field. This innovative concept has rapidly garnered worldwide…

Machine Learning · Computer Science 2024-06-05 Kunpeng Xu , Lifei Chen , Shengrui Wang

Uncovering the underlying dynamics from observed data is a critical task in various scientific fields. Recent advances have shown that combining deep learning techniques with linear multistep methods (LMMs) can be highly effective for this…

Numerical Analysis · Mathematics 2025-01-28 Jintao Hu , Hongjiong Tian , Qian Guo

Kolmogorov-Arnold networks (KANs) as an alternative to multi-layer perceptrons (MLPs) are a recent development demonstrating strong potential for data-driven modeling. This work applies KANs as the backbone of a neural ordinary differential…

Machine Learning · Computer Science 2024-09-23 Benjamin C. Koenig , Suyong Kim , Sili Deng

This systematic review explores the theoretical foundations, evolution, applications, and future potential of Kolmogorov-Arnold Networks (KAN), a neural network model inspired by the Kolmogorov-Arnold representation theorem. KANs…

Machine Learning · Computer Science 2025-06-09 Shriyank Somvanshi , Syed Aaqib Javed , Md Monzurul Islam , Diwas Pandit , Subasish Das

With increasing penetration of distributed energy resources installed behind the meter, there is a growing need for adequate modelling of composite loads to enable accurate power system simulation analysis. Existing measurement based load…

Systems and Control · Electrical Eng. & Systems 2025-08-28 Sonam Dorji , Yongkang Sun , Yuchen Zhang , Ghavameddin Nourbakhsh , Yateendra Mishra , Yan Xu

Uncovering physical laws from experimental data is a fundamental goal of theoretical physics. In this work, we apply the spline-based, interpretable Kolmogorov-Arnold Network (KAN) to explore the algebraic structure underlying the baryon…

High Energy Physics - Phenomenology · Physics 2026-01-06 Jian-Yao He , Xun Chen , Xiao-Yan Zhu , Wen Luo

Recent advancements in speech synthesis technologies have led to increasingly advanced spoofing attacks, posing significant challenges for automatic speaker verification systems. While systems based on self-supervised learning (SSL) models,…

Sound · Computer Science 2025-06-18 Tuan Dat Phuong , Long-Vu Hoang , Huy Dat Tran

Kolmogorov-Arnold Networks (KANs) offer a promising alternative to Multi-Layer Perceptron (MLP) by placing learnable univariate functions on network edges, enhancing interpretability. However, standard KANs lack probabilistic outputs,…

Machine Learning · Computer Science 2025-12-02 Y. Sungtaek Ju

The field of scientific machine learning, which originally utilized multilayer perceptrons (MLPs), is increasingly adopting Kolmogorov-Arnold Networks (KANs) for data encoding. This shift is driven by the limitations of MLPs, including poor…

Machine Learning · Computer Science 2025-11-04 Salah A. Faroughi , Farinaz Mostajeran , Amin Hamed Mashhadzadeh , Shirko Faroughi
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