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Kolmogorov-Arnold Networks (KANs) have seen great success in scientific domains thanks to spline activation functions, becoming an alternative to Multi-Layer Perceptrons (MLPs). However, spline functions may not respect symmetry in tasks,…

机器学习 · 计算机科学 2025-08-18 Lexiang Hu , Yisen Wang , Zhouchen Lin

Recent Transformer- and MLP-based models have demonstrated strong performance in long-term time series forecasting, yet Transformers remain limited by their quadratic complexity and permutation-equivariant attention, while MLPs exhibit…

机器学习 · 计算机科学 2026-03-12 Md Zahidul Hasan , A. Ben Hamza , Nizar Bouguila

Transformers stand as the cornerstone of mordern deep learning. Traditionally, these models rely on multi-layer perceptron (MLP) layers to mix the information between channels. In this paper, we introduce the Kolmogorov-Arnold Transformer…

机器学习 · 计算机科学 2024-09-18 Xingyi Yang , Xinchao Wang

Kolmogorov-Arnold Networks(KANs), as a theoretically efficient neural network architecture, have garnered attention for their potential in capturing complex patterns. However, their application in computer vision remains relatively…

计算机视觉与模式识别 · 计算机科学 2024-11-15 Yueyang Cang , Yu hang liu , Li Shi

In this paper, we introduce Wav-KAN, an innovative neural network architecture that leverages the Wavelet Kolmogorov-Arnold Networks (Wav-KAN) framework to enhance interpretability and performance. Traditional multilayer perceptrons (MLPs)…

机器学习 · 计算机科学 2024-05-28 Zavareh Bozorgasl , Hao Chen

Kolmogorov-Arnold Networks (KANs), whose design is inspired-rather than dictated-by the Kolmogorov superposition theorem, have emerged as a structured alternative to MLPs. This review provides a systematic and comprehensive overview of the…

机器学习 · 计算机科学 2026-05-28 Amir Noorizadegan , Sifan Wang , Leevan Ling , Juan P. Dominguez-Morales

Score prediction is crucial in evaluating realistic image sharpness based on collected informative features. Recently, Kolmogorov-Arnold networks (KANs) have been developed and witnessed remarkable success in data fitting. This study…

计算机视觉与模式识别 · 计算机科学 2024-12-06 Shaode Yu , Ze Chen , Zhimu Yang , Jiacheng Gu , Bizu Feng

Medical image segmentation demands models that achieve high accuracy while maintaining computational efficiency and clinical interpretability. While recent Kolmogorov-Arnold Networks (KANs) offer powerful adaptive non-linearities, their…

计算机视觉与模式识别 · 计算机科学 2026-04-15 Guojie Li , Tianyi Liu , Anwar P. P. Abdul Majeed , Muhammad Ateeq , Anh Nguyen , Fan Zhang

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…

机器学习 · 计算机科学 2026-03-10 Ran Elbaz , Guy Bar-Shalom , Yam Eitan , Fabrizio Frasca , Haggai Maron

Recurrent Neural Networks (RNNs) have revolutionized many areas of machine learning, particularly in natural language and data sequence processing. Long Short-Term Memory (LSTM) has demonstrated its ability to capture long-term dependencies…

机器学习 · 计算机科学 2025-08-01 Remi Genet , Hugo Inzirillo

Kolmogorov-Arnold Networks have recently been introduced as a flexible alternative to multi-layer Perceptron architectures. In this paper, we examine the training dynamics of different KAN architectures and compare them with corresponding…

机器学习 · 计算机科学 2024-11-11 Shairoz Sohail

Kolmogorov-Arnold Networks (KAN) models were recently proposed and claimed to provide improved parameter scaling and interpretability compared to conventional multilayer perceptron (MLP) models. Inspired by the KAN architecture, we propose…

Multi-Layer Perceptrons (MLPs) rely on pre-defined, fixed activation functions, imposing a static inductive bias that forces the network to approximate complex topologies solely through increased depth and width. Kolmogorov-Arnold Networks…

For years, many neural networks have been developed based on the Kolmogorov-Arnold Representation Theorem (KART), which was created to address Hilbert's 13th problem. Recently, relying on KART, Kolmogorov-Arnold Networks (KANs) have…

机器学习 · 计算机科学 2025-08-19 Hoang-Thang Ta , Duy-Quy Thai , Phuong-Linh Tran-Thi

This paper presents, for the first time, a framework for Kolmogorov-Arnold Networks (KANs) in power system applications. Inspired by the recently proposed KAN architecture, this paper proposes physics-informed Kolmogorov-Arnold Networks…

系统与控制 · 电气工程与系统科学 2025-06-05 Hang Shuai , Fangxing Li

Kolmogorov-Arnold Networks (KANs) have gained attention as an alternative to traditional multilayer perceptrons (MLPs) for deep learning applications in computational physics, particularly for solving inverse problems with sparse data, as…

机器学习 · 计算机科学 2025-06-24 Ali Kashefi , Tapan Mukerji

Kolmogorov-Arnold Networks (KANs) have emerged as a promising alternative to traditional Multi-Layer Perceptrons (MLPs), offering enhanced interpretability and a solid mathematical foundation. However, their parameter efficiency remains a…

机器学习 · 计算机科学 2025-10-09 Di Zhang

The Convolutional Neural Networks (CNNs) have been the dominant and effective approach for general computer vision tasks. Recently, Kolmogorov-Arnold neural networks (KANs), based on the Kolmogorov-Arnold representation theorem, have shown…

计算机视觉与模式识别 · 计算机科学 2026-04-28 Zhaoxiang Liu , Zhicheng Ma , Kaikai Zhao , Kai Wang , Shiguo Lian

Kolmogorov-Arnold Networks (KANs) have very recently been introduced into the world of machine learning, quickly capturing the attention of the entire community. However, KANs have mostly been tested for approximating complex functions or…

机器学习 · 计算机科学 2025-01-24 Eleonora Poeta , Flavio Giobergia , Eliana Pastor , Tania Cerquitelli , Elena Baralis

This paper introduces the Hierarchical Kolmogorov-Arnold Network (HKAN), a novel network architecture that offers a competitive alternative to the recently proposed Kolmogorov-Arnold Network (KAN). Unlike KAN, which relies on…

机器学习 · 计算机科学 2026-01-21 Grzegorz Dudek , Tomasz Rodak