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Knowledge hypergraphs generalize knowledge graphs using hyperedges to connect multiple entities and depict complicated relations. Existing methods either transform hyperedges into an easier-to-handle set of binary relations or view…

Machine Learning · Computer Science 2024-12-18 Mengfan Li , Xuanhua Shi , Chenqi Qiao , Teng Zhang , Hai Jin

Graph representation learning has made major strides over the past decade. However, in many relational domains, the input data are not suited for simple graph representations as the relationships between entities go beyond pairwise…

Machine Learning · Computer Science 2021-01-20 Balasubramaniam Srinivasan , Da Zheng , George Karypis

Pansharpening aims to fuse high-resolution spatial details from panchromatic images with the rich spectral information of multispectral images. Existing deep neural networks for this task typically rely on static activation functions, which…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Haoyu Zhang , Haojing Chen , Zhen Zhong , Liangjian Deng

Kolmogorov-Arnold Networks (KANs) have been recently proposed as a machine learning framework that is more interpretable and controllable than the multi-layer perceptron. Various network architectures have been proposed within the KAN…

Machine Learning · Computer Science 2025-02-21 Tatiana Boura , Stasinos Konstantopoulos

Kolmogorov-Arnold Networks (KANs) introduce a paradigm of neural modeling that implements learnable functions on the edges of the networks, diverging from the traditional node-centric activations in neural networks. This work assesses the…

Computer Vision and Pattern Recognition · Computer Science 2024-10-21 Basim Azam , Naveed Akhtar

Many problems in computer vision and machine learning can be cast as learning on hypergraphs that represent higher-order relations. Recent approaches for hypergraph learning extend graph neural networks based on message passing, which is…

Machine Learning · Computer Science 2022-08-23 Jinwoo Kim , Saeyoon Oh , Sungjun Cho , Seunghoon Hong

Inspired by the Kolmogorov-Arnold representation theorem and Kurkova's principle of using approximate representations, we propose the Kurkova-Kolmogorov-Arnold Network (KKAN), a new two-block architecture that combines robust multi-layer…

Machine Learning · Computer Science 2024-12-24 Juan Diego Toscano , Li-Lian Wang , George Em Karniadakis

Existing low-light image enhancement methods are difficult to fit the complex nonlinear relationship between normal and low-light images due to uneven illumination and noise effects. The recently proposed Kolmogorov-Arnold networks (KANs)…

Computer Vision and Pattern Recognition · Computer Science 2025-02-07 Aoxiang Ning , Minglong Xue , Jinhong He , Chengyun Song

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

We present cmKAN, a versatile framework for color matching. Given an input image with colors from a source color distribution, our method effectively and accurately maps these colors to match a target color distribution in both supervised…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 Artem Nikonorov , Georgy Perevozchikov , Andrei Korepanov , Nancy Mehta , Mahmoud Afifi , Egor Ershov , Radu Timofte

The goal of representation learning of knowledge graph is to encode both entities and relations into a low-dimensional embedding spaces. Many recent works have demonstrated the benefits of knowledge graph embedding on knowledge graph…

Artificial Intelligence · Computer Science 2019-10-11 Wenqiang Liu , Hongyun Cai , Xu Cheng , Sifa Xie , Yipeng Yu , Hanyu Zhang

Kolmogorov-Arnold Networks (KAN) \cite{liu2024kan} were very recently proposed as a potential alternative to the prevalent architectural backbone of many deep learning models, the multi-layer perceptron (MLP). KANs have seen success in…

Machine Learning · Computer Science 2025-02-10 Yixuan Wang , Jonathan W. Siegel , Ziming Liu , Thomas Y. Hou

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…

Computer Vision and Pattern Recognition · Computer Science 2024-11-15 Yueyang Cang , Yu hang liu , Li Shi

Many real-world interactions are group-based rather than pairwise such as papers with multiple co-authors and users jointly engaging with items. Hypergraph neural networks have shown great promise at modeling higher-order relations, but…

Machine Learning · Computer Science 2025-08-14 Xiaoyu Li , Guangyu Tang , Jiaojiao Jiang

Hypergraph Neural Networks (HyGNNs) have demonstrated remarkable success in modeling higher-order relationships among entities. However, their performance often degrades on heterophilic hypergraphs, where nodes connected by the same…

Machine Learning · Computer Science 2026-02-17 Tianyi Ma , Yiyue Qian , Zehong Wang , Zheyuan Zhang , Chuxu Zhang , Yanfang Ye

Graph representation learning based on graph neural networks (GNNs) can greatly improve the performance of downstream tasks, such as node and graph classification. However, the general GNN models do not aggregate node information in a…

Machine Learning · Computer Science 2020-07-30 Fei Ding , Xiaohong Zhang , Justin Sybrandt , Ilya Safro

U-Net has become a cornerstone in various visual applications such as image segmentation and diffusion probability models. While numerous innovative designs and improvements have been introduced by incorporating transformers or MLPs, the…

Image and Video Processing · Electrical Eng. & Systems 2024-08-23 Chenxin Li , Xinyu Liu , Wuyang Li , Cheng Wang , Hengyu Liu , Yifan Liu , Zhen Chen , Yixuan Yuan

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)…

Machine Learning · Computer Science 2024-05-28 Zavareh Bozorgasl , Hao Chen

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

Kolmogorov-Arnold Networks (KANs) have recently emerged as a powerful alternative to traditional multilayer perceptrons. However, their reliance on predefined, bounded grids restricts their ability to approximate functions on unbounded…

Machine Learning · Computer Science 2025-10-10 Alireza Moradzadeh , Srimukh Prasad Veccham , Lukasz Wawrzyniak , Miles Macklin , Saee G. Paliwal