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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…

机器学习 · 计算机科学 2026-01-28 Oscar Eliasson

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

Vision Transformers (ViTs) have significantly advanced image classification by applying self-attention on patch embeddings. However, the standard MLP blocks in each Transformer layer may not capture complex nonlinear dependencies optimally.…

计算机视觉与模式识别 · 计算机科学 2025-03-04 Shreyas S , Akshath M

Recently, Kolmogorov-Arnold Networks (KANs) have been proposed as an alternative to multilayer perceptrons, suggesting advantages in performance and interpretability. We study a typical binary event classification task in high-energy…

高能物理 - 唯象学 · 物理学 2025-05-27 Johannes Erdmann , Florian Mausolf , Jan Lukas Späh

Effective molecular representation learning is crucial for advancing molecular property prediction and drug design. Mainstream molecular representation learning approaches are based on Graph Neural Networks (GNNs). However, these approaches…

机器学习 · 计算机科学 2024-11-12 Ruifeng Li , Mingqian Li , Wei Liu , Hongyang Chen

Kolmogorov-Arnold networks (KANs) are a remarkable innovation that consists of learnable activation functions, with the potential to capture more complex relationships from data. Presently, KANs are deployed by replacing multilayer…

机器学习 · 计算机科学 2025-10-23 Subhajit Maity , Killian Hitsman , Xin Li , Aritra Dutta

Kolmogorov-Arnold networks (KANs) have attracted attention recently as an alternative to multilayer perceptrons (MLPs) for scientific machine learning. However, KANs can be expensive to train, even for relatively small networks. Inspired by…

机器学习 · 计算机科学 2025-11-18 Amanda A. Howard , Bruno Jacob , Sarah Helfert , Alexander Heinlein , Panos Stinis

Kolmogorov-Arnold Network (KAN) has attracted growing interest for its strong function approximation capability. In our previous work, KAN and its variants were explored in score regression for blind image quality assessment (BIQA).…

图像与视频处理 · 电气工程与系统科学 2025-05-29 Ze Chen , Shaode Yu

A new Kolmogorov-Arnold network (KAN) is proposed to approximate potentially irregular functions in high dimensions. We provide error bounds for this approximation, assuming that the Kolmogorov-Arnold expansion functions are sufficiently…

机器学习 · 计算机科学 2026-05-05 Xavier Warin

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…

机器学习 · 计算机科学 2024-09-17 Farhad Pourkamali-Anaraki

This paper tests whether Kolmogorov--Arnold Networks (KAN 2.0) are genuinely more noise-robust than Multi-Layer Perceptrons (MLP) and XGBoost for stellar classification (star/galaxy/quasar, 100,000 SDSS DR17 objects). A naive comparison…

天体物理仪器与方法 · 物理学 2026-05-29 Kristian Sestak

Recent work has established an alternative to traditional multi-layer perceptron neural networks in the form of Kolmogorov-Arnold Networks (KAN). The general KAN framework uses learnable activation functions on the edges of the…

机器学习 · 计算机科学 2025-01-28 Eric A. F. Reinhardt , P. R. Dinesh , Sergei Gleyzer

Kolmogorov-Arnold Networks (KANs) have inspired numerous works exploring their applications across a wide range of scientific problems, with the potential to replace Multilayer Perceptrons (MLPs). While many KANs are designed using basis…

机器学习 · 计算机科学 2025-03-11 Hoang-Thang Ta , Anh Tran

The emergence of Kolmogorov-Arnold Networks (KANs) has sparked significant interest and debate within the scientific community. This paper explores the application of KANs in the domain of computer vision (CV). We examine the convolutional…

计算机视觉与模式识别 · 计算机科学 2024-07-02 Ivan Drokin

This paper presents the use of Kolmogorov-Arnold Networks (KANs) for forecasting the CBOE Volatility Index (VIX). Unlike traditional MLP-based neural networks that are often criticized for their black-box nature, KAN offers an interpretable…

机器学习 · 计算机科学 2025-02-04 So-Yoon Cho , Sungchul Lee , Hyun-Gyoon Kim

This paper presents an experimental study of Kolmogorov-Arnold Networks (KANs) applied to computer vision tasks, particularly image classification. KANs introduce learnable activation functions on edges, offering flexible non-linear…

计算机视觉与模式识别 · 计算机科学 2024-12-02 Karthik Mohan , Hanxiao Wang , Xiatian Zhu

Kolmogorov-Arnold Networks (KANs) have emerged as a promising alternative to Multi-layer Perceptrons (MLPs) due to their superior function-fitting abilities in data-driven modeling. In this paper, we propose a novel framework, DAE-KAN, for…

机器学习 · 计算机科学 2025-04-24 Kai Luo , Juan Tang , Mingchao Cai , Xiaoqing Zeng , Manqi Xie , Ming Yan

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…

机器学习 · 计算机科学 2026-02-10 Shao-Ting Chiu , Siu Wun Cheung , Ulisses Braga-Neto , Chak Shing Lee , Rui Peng Li

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…

机器学习 · 计算机科学 2024-06-11 Mehrdad Kiamari , Mohammad Kiamari , Bhaskar Krishnamachari

Recent advancements in deep learning for image classification predominantly rely on convolutional neural networks (CNNs) or Transformer-based architectures. However, these models face notable challenges in medical imaging, particularly in…

计算机视觉与模式识别 · 计算机科学 2025-02-26 Zhuoqin Yang , Jiansong Zhang , Xiaoling Luo , Zheng Lu , Linlin Shen