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Kolmogorov-Arnold Networks (KANs) have demonstrated an exceptional ability to learn complex functions on clean, low-dimensional data but struggle to maintain performance on noisy and imperfect real-world datasets. In contrast, conventional…

Graph neural networks for heterogeneous graph embedding is to project nodes into a low-dimensional space by exploring the heterogeneity and semantics of the heterogeneous graph. However, on the one hand, most of existing heterogeneous graph…

Machine Learning · Computer Science 2022-12-01 Zezhi Shao , Yongjun Xu , Wei Wei , Fei Wang , Zhao Zhang , Feida Zhu

Graph Neural Networks (GNNs) are an effective framework for representation learning of graphs. GNNs follow a neighborhood aggregation scheme, where the representation vector of a node is computed by recursively aggregating and transforming…

Machine Learning · Computer Science 2019-02-26 Keyulu Xu , Weihua Hu , Jure Leskovec , Stefanie Jegelka

Graph neural networks (GNNs) are a class of neural networks that allow to efficiently perform inference on data that is associated to a graph structure, such as, e.g., citation networks or knowledge graphs. While several variants of GNNs…

Neural and Evolutionary Computing · Computer Science 2018-02-27 Simone Scardapane , Steven Van Vaerenbergh , Danilo Comminiello , Aurelio Uncini

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

Graphs are ubiquitous for modeling complex systems involving structured data and relationships. Consequently, graph representation learning, which aims to automatically learn low-dimensional representations of graphs, has drawn a lot of…

Machine Learning · Computer Science 2024-10-24 Noé Cecillon , Vincent Labatut , Richard Dufour , Nejat Arınık

With the prevalence of social media, the connectedness between people has been greatly enhanced. Real-world relations between users on social media are often not limited to expressing positive ties such as friendship, trust, and agreement,…

Social and Information Networks · Computer Science 2024-02-27 Zeyu Zhang , Peiyao Zhao , Xin Li , Jiamou Liu , Xinrui Zhang , Junjie Huang , Xiaofeng Zhu

The multilayer perceptron (MLP), a fundamental paradigm in current artificial intelligence, is widely applied in fields such as computer vision and natural language processing. However, the recently proposed Kolmogorov-Arnold Network (KAN),…

Machine Learning · Computer Science 2024-08-19 Zhuoqin Yang , Jiansong Zhang , Xiaoling Luo , Zheng Lu , Linlin Shen

Graph neural networks (GNNs) have shown prominent performance on attributed network embedding. However, existing efforts mainly focus on exploiting network structures, while the exploitation of node attributes is rather limited as they only…

Machine Learning · Computer Science 2023-07-25 Qiaoyu Tan , Xin Zhang , Xiao Huang , Hao Chen , Jundong Li , Xia Hu

Kolmogorov-Arnold Networks represent a recent advancement in machine learning, with the potential to outperform traditional perceptron-based neural networks across various domains as well as provide more interpretability with the use of…

High Energy Physics - Phenomenology · Physics 2024-09-26 E. Abasov , P. Volkov , G. Vorotnikov , L. Dudko , A. Zaborenko , E. Iudin , A. Markina , M. Perfilov

Existing representation learning methods in graph convolutional networks are mainly designed by describing the neighborhood of each node as a perceptual whole, while the implicit semantic associations behind highly complex interactions of…

Artificial Intelligence · Computer Science 2021-01-19 Likang Wu , Zhi Li , Hongke Zhao , Qi Liu , Jun Wang , Mengdi Zhang , Enhong Chen

We explore the integration of Kolmogorov Networks (KANs) into molecular dynamics (MD) simulations to improve interatomic potentials. We propose that widely used potentials, such as the Lennard-Jones (LJ) potential, the embedded atom model…

Materials Science · Physics 2024-07-26 Yuki Nagai , Masahiko Okumura

Machine learning (ML) and deep learning (DL) techniques have gained significant attention as reduced order models (ROMs) to computationally expensive structural analysis methods, such as finite element analysis (FEA). Graph neural network…

Machine Learning · Computer Science 2023-09-25 Yuecheng Cai , Jasmin Jelovica

The Kolmogorov-Arnold Network (KAN) is a novel multi-layer network model recognized for its efficiency in neuromorphic computing, where synapses between neurons are trained linearly. Computations in KAN are performed by generating a…

Quantum Physics · Physics 2025-12-19 Hikaru Wakaura , Rahmat Mulyawan , Andriyan B. Suksmono

Deeply stacked KANs are practically impossible due to high training difficulties and substantial memory requirements. Consequently, existing studies can only incorporate few KAN layers, hindering the comprehensive exploration of KANs. This…

Computer Vision and Pattern Recognition · Computer Science 2026-02-04 Xingyu Qiu , Xinghua Ma , Dong Liang , Gongning Luo , Wei Wang , Kuanquan Wang , Shuo Li

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

We propose a Kolmogorov-Arnold Representation-based Hamiltonian Neural Network (KAR-HNN) that replaces the Multilayer Perceptrons (MLPs) with univariate transformations. While Hamiltonian Neural Networks (HNNs) ensure energy conservation by…

Machine Learning · Computer Science 2025-08-28 Zongyu Wu , Ruichen Xu , Luoyao Chen , Georgios Kementzidis , Siyao Wang , Yuefan Deng

Graph neural networks (GNN) represent an emerging line of deep learning models that operate on graph structures. It is becoming more and more popular due to its high accuracy achieved in many graph-related tasks. However, GNN is not as well…

Hardware Architecture · Computer Science 2021-12-28 Zhihui Zhang , Jingwen Leng , Lingxiao Ma , Youshan Miao , Chao Li , Minyi Guo

Graph neural networks (GNNs) have demonstrated great success in representation learning for graph-structured data. The layer-wise graph convolution in GNNs is shown to be powerful at capturing graph topology. During this process, GNNs are…

Machine Learning · Computer Science 2021-12-10 Mingxuan Ju , Shifu Hou , Yujie Fan , Jianan Zhao , Liang Zhao , Yanfang Ye

Graph-based neural network models are gaining traction in the field of representation learning due to their ability to uncover latent topological relationships between entities that are otherwise challenging to identify. These models have…

Image and Video Processing · Electrical Eng. & Systems 2023-07-25 Aryan Singh , Pepijn Van de Ven , Ciarán Eising , Patrick Denny