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We develop a unified model, known as MgNet, that simultaneously recovers some convolutional neural networks (CNN) for image classification and multigrid (MG) methods for solving discretized partial differential equations (PDEs). This model…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Juncai He , Jinchao Xu

Graph neural networks (GNNs) extends the functionality of traditional neural networks to graph-structured data. Similar to CNNs, an optimized design of graph convolution and pooling is key to success. Borrowing ideas from physics, we…

Machine Learning · Computer Science 2022-01-12 Zheng Ma , Junyu Xuan , Yu Guang Wang , Ming Li , Pietro Lio

Compared with global average pooling in existing deep convolutional neural networks (CNNs), global covariance pooling can capture richer statistics of deep features, having potential for improving representation and generalization abilities…

Computer Vision and Pattern Recognition · Computer Science 2020-08-12 Qilong Wang , Jiangtao Xie , Wangmeng Zuo , Lei Zhang , Peihua Li

Graph neural networks (GNNs) have demonstrated a significant success in various graph learning tasks, from graph classification to anomaly detection. There recently has emerged a number of approaches adopting a graph pooling operation…

Machine Learning · Computer Science 2023-03-28 Yuzhou Chen , Yulia R. Gel

Self-supervised graph representation learning has recently shown considerable promise in a range of fields, including bioinformatics and social networks. A large number of graph contrastive learning approaches have shown promising…

Machine Learning · Computer Science 2024-01-30 Wei Ju , Yiyang Gu , Zhengyang Mao , Ziyue Qiao , Yifang Qin , Xiao Luo , Hui Xiong , Ming Zhang

Graph pooling is a family of operations which take graphs as input and produce shrinked graphs as output. Modern graph pooling methods are trainable and, in general inserted in Graph Neural Networks (GNNs) architectures as graph shrinking…

Machine Learning · Computer Science 2024-12-05 Yizhu Chen

By stacking layers of convolution and nonlinearity, convolutional networks (ConvNets) effectively learn from low-level to high-level features and discriminative representations. Since the end goal of large-scale recognition is to delineate…

Computer Vision and Pattern Recognition · Computer Science 2018-04-03 Peihua Li , Jiangtao Xie , Qilong Wang , Wangmeng Zuo

Pooling is essentially an operation from the field of Mathematical Morphology, with max pooling as a limited special case. The more general setting of MorphPooling greatly extends the tool set for building neural networks. In addition to…

Computer Vision and Pattern Recognition · Computer Science 2022-11-28 Rick Groenendijk , Leo Dorst , Theo Gevers

The Deep Convolutional Neural Networks (CNNs) have obtained a great success for pattern recognition, such as recognizing the texts in images. But existing CNNs based frameworks still have several drawbacks: 1) the traditaional pooling…

Computer Vision and Pattern Recognition · Computer Science 2020-01-20 Zhao Zhang , Zemin Tang , Zheng Zhang , Yang Wang , Jie Qin , Meng Wang

Convolutional neural networks (CNNs) have achieved remarkable performance in many applications, especially in image recognition tasks. As a crucial component of CNNs, sub-sampling plays an important role for efficient training or invariance…

Machine Learning · Computer Science 2020-03-17 Hayoung Eom , Heeyoul Choi

To enhance the ability of neural networks to extract local point cloud features and improve their quality, in this paper, we propose a multiscale graph generation method and a self-adaptive graph convolution method. First, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2020-12-24 Bo Wu , Bo Lang

Multi-view attributed graph clustering is an important approach to partition multi-view data based on the attribute feature and adjacent matrices from different views. Some attempts have been made in utilizing Graph Neural Network (GNN),…

Artificial Intelligence · Computer Science 2022-11-29 Jia-Qi Lin , Man-Sheng Chen , Xi-Ran Zhu , Chang-Dong Wang , Haizhang Zhang

Training deep Convolutional Neural Networks (CNNs) presents unique challenges, including the pervasive issue of elimination singularities, consistent deactivation of nodes leading to degenerate manifolds within the loss landscape. These…

Computer Vision and Pattern Recognition · Computer Science 2024-12-11 Chengkun Sun , Jinqian Pan , Zhuoli Jin , Russell Stevens Terry , Jiang Bian , Jie Xu

We propose a novel pool-based Active Learning framework constructed on a sequential Graph Convolution Network (GCN). Each image's feature from a pool of data represents a node in the graph and the edges encode their similarities. With a…

Computer Vision and Pattern Recognition · Computer Science 2021-04-02 Razvan Caramalau , Binod Bhattarai , Tae-Kyun Kim

Deep Graph Neural Networks (GNNs) are useful models for graph classification and graph-based regression tasks. In these tasks, graph pooling is a critical ingredient by which GNNs adapt to input graphs of varying size and structure. We…

Machine Learning · Computer Science 2020-06-25 Yu Guang Wang , Ming Li , Zheng Ma , Guido Montufar , Xiaosheng Zhuang , Yanan Fan

Deep Convolutional Neural Networks (DCNNs) commonly use generic `max-pooling' (MP) layers to extract deformation-invariant features, but we argue in favor of a more refined treatment. First, we introduce epitomic convolution as a building…

Computer Vision and Pattern Recognition · Computer Science 2014-12-02 George Papandreou , Iasonas Kokkinos , Pierre-André Savalle

Graph neural networks have attracted wide attentions to enable representation learning of graph data in recent works. In complement to graph convolution operators, graph pooling is crucial for extracting hierarchical representation of graph…

Machine Learning · Computer Science 2020-06-22 Xing Gao , Wenrui Dai , Chenglin Li , Hongkai Xiong , Pascal Frossard

Deep neural networks with alternating convolutional, max-pooling and decimation layers are widely used in state of the art architectures for computer vision. Max-pooling purposefully discards precise spatial information in order to create…

Computer Vision and Pattern Recognition · Computer Science 2016-04-19 Sina Honari , Jason Yosinski , Pascal Vincent , Christopher Pal

This work investigates the potential of seam carving as a feature pooling technique within Convolutional Neural Networks (CNNs) for image classification tasks. We propose replacing the traditional max pooling layer with a seam carving…

Computer Vision and Pattern Recognition · Computer Science 2024-09-11 Mohammad Imrul Jubair

Various methods to deal with graph data have been proposed in recent years. However, most of these methods focus on graph feature aggregation rather than graph pooling. Besides, the existing top-k selection graph pooling methods have a few…

Social and Information Networks · Computer Science 2020-02-06 Liang Zhang , Xudong Wang , Hongsheng Li , Guangming Zhu , Peiyi Shen , Ping Li , Xiaoyuan Lu , Syed Afaq Ali Shah , Mohammed Bennamoun
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