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Kolmogorov-Arnold Networks (KANs) are a recently introduced neural architecture that replace fixed nonlinearities with trainable activation functions, offering enhanced flexibility and interpretability. While KANs have been applied…

Machine Learning · Computer Science 2026-03-31 Spyros Rigas , Dhruv Verma , Georgios Alexandridis , Yixuan Wang

Physics-Informed Neural Networks (PINNs) have emerged as a powerful mesh-free framework for solving ordinary and partial differential equations by embedding the governing physical laws directly into the loss function. However, their…

In traditional neural network architectures, a multilayer perceptron (MLP) is typically employed as a classification block following the feature extraction stage. However, the Kolmogorov-Arnold Network (KAN) presents a promising alternative…

Computer Vision and Pattern Recognition · Computer Science 2024-09-09 Valeriy Lobanov , Nikita Firsov , Evgeny Myasnikov , Roman Khabibullin , Artem Nikonorov

Physics-informed neural networks have proven to be a powerful tool for solving differential equations, leveraging the principles of physics to inform the learning process. However, traditional deep neural networks often face challenges in…

Machine Learning · Computer Science 2024-07-30 Subhajit Patra , Sonali Panda , Bikram Keshari Parida , Mahima Arya , Kurt Jacobs , Denys I. Bondar , Abhijit Sen

Physics-Informed Neural Networks (PINNs) have become a popular and powerful framework for solving partial differential equations (PDEs), leveraging neural networks to approximate solutions while embedding PDE constraints, boundary…

Numerical Analysis · Mathematics 2026-02-03 Zijuan Xin , Chenyao Wang , Feng Shi , Yizhong Sun

Kolmogorov-Arnold Networks (KANs) uniquely combine high accuracy with interpretability, making them valuable for scientific modeling. However, it is unclear a priori how deep a network needs to be for any given task, and deeper KANs can be…

Machine Learning · Computer Science 2025-08-22 James Bagrow , Josh Bongard

In this work, we explore the use of a novel neural network architecture, the Kolmogorov-Arnold Networks (KANs) as feature extractors for sensor-based (specifically IMU) Human Activity Recognition (HAR). Where conventional networks perform a…

Machine Learning · Computer Science 2024-06-19 Mengxi Liu , Daniel Geißler , Dominique Nshimyimana , Sizhen Bian , Bo Zhou , Paul Lukowicz

Kolmogorov-Arnold Networks (KANs) have shown potential as an alternative to Multi-Layer Perceptrons (MLPs) in neural networks, providing universal function approximation with fewer parameters and reduced memory usage. In this paper, we…

Machine Learning · Computer Science 2024-09-04 Victor Augusto Kich , Jair Augusto Bottega , Raul Steinmetz , Ricardo Bedin Grando , Ayano Yorozu , Akihisa Ohya

The landscape of Kolmogorov-Arnold Networks (KANs) is rapidly expanding, yet lacks a unified theoretical framework and a clear principle for efficient architecture design. This paper addresses these gaps with three core contributions.…

Artificial Intelligence · Computer Science 2026-01-22 Zhijie Chen , Xinglin Zhang , Hongshu Guo , Yue-Jiao Gong

Hyperspectral image classification is a crucial but challenging task due to the high dimensionality and complex spatial-spectral correlations inherent in hyperspectral data. This paper employs Wavelet-based Kolmogorov-Arnold Network…

Computer Vision and Pattern Recognition · Computer Science 2024-10-10 Seyd Teymoor Seydi , Zavareh Bozorgasl , Hao Chen

Deep learning-based medical image segmentation has shown remarkable success; however, it typically requires extensive pixel-level annotations, which are both expensive and time-intensive. Semi-supervised medical image segmentation (SSMIS)…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Zanting Ye , Xiaolong Niu , Xuanbin Wu , Wenxiang Yi , Yuan Chang , Lijun Lu

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…

Computer Vision and Pattern Recognition · Computer Science 2025-11-07 Ray Congrui Yu , Sherry Wu , Jiang Gui

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

Sign language production from symbolic notation offers a scalable route to accessible sign animation. We present KANMultiSign, a multi-scale sequence generator that translates HamNoSys notation into two-dimensional human pose sequences. Our…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Guanyi Du , Lintao Wang , Kun Hu , Ziyang Wang

This study explores the application of Kolmogorov-Arnold Networks (KANs) in predicting nuclear binding energies, leveraging their ability to decompose complex multi-parameter systems into simpler univariate functions. By utilizing data from…

Nuclear Theory · Physics 2025-02-10 Hao Liu , Jin Lei , Zhongzhou Ren

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

Deep learning neural networks architectures such Multi Layer Perceptrons (MLP) and Convolutional blocks still play a crucial role in nowadays research advancements. From a topological point of view, these architecture may be represented as…

Machine Learning · Computer Science 2025-07-29 Ugo Lomoio , Pierangelo Veltri , Pietro Hiram Guzzi

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

Traditional constitutive models rely on hand-crafted parametric forms with limited expressivity and generalizability, while neural network-based models can capture complex material behavior but often lack interpretability. To balance these…

Machine Learning · Computer Science 2025-06-05 Prakash Thakolkaran , Yaqi Guo , Shivam Saini , Mathias Peirlinck , Benjamin Alheit , Siddhant Kumar

Multilayer Perceptrons (MLPs) have long been a cornerstone in deep learning, known for their capacity to model complex relationships. Recently, Kolmogorov-Arnold Networks (KANs) have emerged as a compelling alternative, utilizing highly…

Machine Learning · Computer Science 2024-09-17 Farhad Pourkamali-Anaraki
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