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User-item interaction data in collaborative filtering and graph modeling tasks often exhibit power-law characteristics, which suggest the suitability of hyperbolic space modeling. Hyperbolic Graph Convolution Neural Networks (HGCNs) are a…

Information Retrieval · Computer Science 2024-12-13 Lu Zhang , Ning Wu

Linear Graph Convolutional Networks (GCNs) are used to classify the node in the graph data. However, we note that most existing linear GCN models perform neural network operations in Euclidean space, which do not explicitly capture the…

Machine Learning · Computer Science 2024-06-17 Qiuyu Liang , Weihua Wang , Feilong Bao , Guanglai Gao

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…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Zhaoxiang Liu , Zhicheng Ma , Kaikai Zhao , Kai Wang , Shiguo Lian

Hypergraphs provide a natural representation for many real world datasets. We propose a novel framework, HNHN, for hypergraph representation learning. HNHN is a hypergraph convolution network with nonlinear activation functions applied to…

Machine Learning · Computer Science 2020-07-15 Yihe Dong , Will Sawin , Yoshua Bengio

Convolutional Neural Networks (CNNs) have recently led to incredible breakthroughs on a variety of pattern recognition problems. Banks of finite impulse response filters are learned on a hierarchy of layers, each contributing more abstract…

Computer Vision and Pattern Recognition · Computer Science 2017-07-18 Felipe Petroski Such , Shagan Sah , Miguel Dominguez , Suhas Pillai , Chao Zhang , Andrew Michael , Nathan Cahill , Raymond Ptucha

Learning hyperbolic embeddings for knowledge graph (KG) has gained increasing attention due to its superiority in capturing hierarchies. However, some important operations in hyperbolic space still lack good definitions, making existing…

Machine Learning · Computer Science 2023-02-09 Wentao Shi , Junkang Wu , Xuezhi Cao , Jiawei Chen , Wenqiang Lei , Wei Wu , Xiangnan He

Hyperbolic spaces have recently gained momentum in the context of machine learning due to their high capacity and tree-likeliness properties. However, the representational power of hyperbolic geometry is not yet on par with Euclidean…

Machine Learning · Computer Science 2018-06-29 Octavian-Eugen Ganea , Gary Bécigneul , Thomas Hofmann

Recently, convolutional neural network (CNN) techniques have gained popularity as a tool for hyperspectral image classification (HSIC). To improve the feature extraction efficiency of HSIC under the condition of limited samples, the current…

Computer Vision and Pattern Recognition · Computer Science 2023-04-06 Hongmin Gao , Zhonghao Chen , Chenming Li

Convolutional neural networks (CNNs) are one of the most successful computer vision systems to solve object recognition. Furthermore, CNNs have major applications in understanding the nature of visual representations in the human brain. Yet…

Computer Vision and Pattern Recognition · Computer Science 2022-12-13 Amr Farahat , Felix Effenberger , Martin Vinck

We present a novel spatial hashing based data structure to facilitate 3D shape analysis using convolutional neural networks (CNNs). Our method well utilizes the sparse occupancy of 3D shape boundary and builds hierarchical hash tables for…

Graphics · Computer Science 2019-04-19 Tianjia Shao , Yin Yang , Yanlin Weng , Qiming Hou , Kun Zhou

Recently, dense connections have attracted substantial attention in computer vision because they facilitate gradient flow and implicit deep supervision during training. Particularly, DenseNet, which connects each layer to every other layer…

Computer Vision and Pattern Recognition · Computer Science 2019-03-05 Jose Dolz , Karthik Gopinath , Jing Yuan , Herve Lombaert , Christian Desrosiers , Ismail Ben Ayed

Graph Neural Networks (GNNs) have been widely studied in various graph data mining tasks. Most existingGNNs embed graph data into Euclidean space and thus are less effective to capture the ubiquitous hierarchical structures in real-world…

Machine Learning · Computer Science 2022-03-04 Xingcheng Fu , Jianxin Li , Jia Wu , Qingyun Sun , Cheng Ji , Senzhang Wang , Jiajun Tan , Hao Peng , Philip S. Yu

Convolutional Neural Networks (CNNs) have advanced existing medical systems for automatic disease diagnosis. However, there are still concerns about the reliability of deep medical diagnosis systems against the potential threats of…

Computer Vision and Pattern Recognition · Computer Science 2023-03-21 Omid Nejati Manzari , Hamid Ahmadabadi , Hossein Kashiani , Shahriar B. Shokouhi , Ahmad Ayatollahi

Graph-structured data are widespread in real-world applications, such as social networks, recommender systems, knowledge graphs, chemical molecules etc. Despite the success of Euclidean space for graph-related learning tasks, its ability to…

Machine Learning · Computer Science 2022-11-09 Min Zhou , Menglin Yang , Lujia Pan , Irwin King

Convolutional Neural Networks (CNNs) have been providing the state-of-the-art performance for learning-related problems involving 2D/3D images in Euclidean space. However, unlike in the Euclidean space, the shapes of many structures in…

Computer Vision and Pattern Recognition · Computer Science 2019-04-02 Fenqiang Zhao , Shunren Xia , Zhengwang Wu , Dingna Duan , Li Wang , Weili Lin , John H Gilmore , Dinggang Shen , Gang Li

Geometric deep learning has attracted significant attention in recent years, in part due to the availability of exotic data types for which traditional neural network architectures are not well suited. Our goal in this paper is to…

Computer Vision and Pattern Recognition · Computer Science 2020-03-09 Jose J. Bouza , Chun-Hao Yang , David Vaillancourt , Baba C. Vemuri

Deep convolutional neural networks (CNNs) have achieved breakthrough performance in many pattern recognition tasks such as image classification. However, the development of high-quality deep models typically relies on a substantial amount…

Computer Vision and Pattern Recognition · Computer Science 2016-05-05 Mengchen Liu , Jiaxin Shi , Zhen Li , Chongxuan Li , Jun Zhu , Shixia Liu

Hyperspectral images (HSIs) are susceptible to various noise factors leading to the loss of information, and the noise restricts the subsequent HSIs object detection and classification tasks. In recent years, learning-based methods have…

Neural and Evolutionary Computing · Computer Science 2020-08-18 Yuqiao Liu , Yanan Sun , Bing Xue , Mengjie Zhang

Image representations, from SIFT and bag of visual words to Convolutional Neural Networks (CNNs) are a crucial component of almost all computer vision systems. However, our understanding of them remains limited. In this paper we study…

Computer Vision and Pattern Recognition · Computer Science 2016-05-24 Aravindh Mahendran , Andrea Vedaldi

Head pose estimation is a crucial problem for many tasks, such as driver attention, fatigue detection, and human behaviour analysis. It is well known that neural networks are better at handling classification problems than regression…

Computer Vision and Pattern Recognition · Computer Science 2020-05-26 Zhongxu Hu , Yang Xing , Chen Lv , Peng Hang , Jie Liu
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