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Convolutional neural networks (CNNs) leverage the great power in representation learning on regular grid data such as image and video. Recently, increasing attention has been paid on generalizing CNNs to graph or network data which is…

Social and Information Networks · Computer Science 2018-08-21 Yao Ma , Suhang Wang , Charu C. Aggarwal , Dawei Yin , Jiliang Tang

The conventional CNN, widely used for two-dimensional images, however, is not directly applicable to non-regular geometric surface, such as a cortical thickness. We propose Geometric CNN (gCNN) that deals with data representation over a…

Neural and Evolutionary Computing · Computer Science 2017-08-03 Si-Baek Seong , Chongwon Pae , Hae-Jeong Park

Towards developing effective and efficient brain-computer interface (BCI) systems, precise decoding of brain activity measured by electroencephalogram (EEG), is highly demanded. Traditional works classify EEG signals without considering the…

Signal Processing · Electrical Eng. & Systems 2022-09-19 Yimin Hou , Shuyue Jia , Xiangmin Lun , Ziqian Hao , Yan Shi , Yang Li , Rui Zeng , Jinglei Lv

Important advances have been made using convolutional neural network (CNN) approaches to solve complicated problems in areas that rely on grid structured data such as image processing and object classification. Recently, research on graph…

Machine Learning · Statistics 2018-08-24 Matthew Baron

Various imaging artifacts, low signal-to-noise ratio, and bone surfaces appearing several millimeters in thickness have hindered the success of ultrasound (US) guided computer assisted orthopedic surgery procedures. In this work, a…

Computer Vision and Pattern Recognition · Computer Science 2018-06-27 Puyang Wang , Vishal M. Patel , Ilker Hacihaliloglu

Building discriminative representations for 3D data has been an important task in computer graphics and computer vision research. Convolutional Neural Networks (CNNs) have shown to operate on 2D images with great success for a variety of…

Computer Vision and Pattern Recognition · Computer Science 2016-10-26 Yangyan Li , Soeren Pirk , Hao Su , Charles R. Qi , Leonidas J. Guibas

Charting cortical growth trajectories is of paramount importance for understanding brain development. However, such analysis necessitates the collection of longitudinal data, which can be challenging due to subject dropouts and failed…

Computer Vision and Pattern Recognition · Computer Science 2020-09-15 Peirong Liu , Zhengwang Wu , Gang Li , Pew-Thian Yap , Dinggang Shen

Spherical CNNs generalize CNNs to functions on the sphere, by using spherical convolutions as the main linear operation. The most accurate and efficient way to compute spherical convolutions is in the spectral domain (via the convolution…

Machine Learning · Computer Science 2023-06-09 Carlos Esteves , Jean-Jacques Slotine , Ameesh Makadia

This work introduces the Topological CNN (TCNN), which encompasses several topologically defined convolutional methods. Manifolds with important relationships to the natural image space are used to parameterize image filters which are used…

Machine Learning · Computer Science 2021-03-05 Ephy R. Love , Benjamin Filippenko , Vasileios Maroulas , Gunnar Carlsson

The convolution operator at the core of many modern neural architectures can effectively be seen as performing a dot product between an input matrix and a filter. While this is readily applicable to data such as images, which can be…

Machine Learning · Computer Science 2025-11-26 Luca Cosmo , Giorgia Minello , Alessandro Bicciato , Michael Bronstein , Emanuele Rodolà , Luca Rossi , Andrea Torsello

Spatial networks are networks whose graph topology is constrained by their embedded spatial space. Understanding the coupled spatial-graph properties is crucial for extracting powerful representations from spatial networks. Therefore,…

Machine Learning · Computer Science 2024-01-11 Zheng Zhang , Sirui Li , Jingcheng Zhou , Junxiang Wang , Abhinav Angirekula , Allen Zhang , Liang Zhao

Accurate medical image segmentation is essential for clinical quantification, disease diagnosis, treatment planning and many other applications. Both convolution-based and transformer-based u-shaped architectures have made significant…

Computer Vision and Pattern Recognition · Computer Science 2024-10-01 Libin Lan , Pengzhou Cai , Lu Jiang , Xiaojuan Liu , Yongmei Li , Yudong Zhang

U-Net has been the go-to architecture for medical image segmentation tasks, however computational challenges arise when extending the U-Net architecture to 3D images. We propose the Implicit U-Net architecture that adapts the efficient…

Image and Video Processing · Electrical Eng. & Systems 2022-07-01 Sergio Naval Marimont , Giacomo Tarroni

When applying a convolutional kernel to an image, if the output is to remain the same size as the input then some form of padding is required around the image boundary, meaning that for each layer of convolution in a convolutional neural…

Computer Vision and Pattern Recognition · Computer Science 2020-12-07 Calden Wloka , John K. Tsotsos

Convolution Neural Network (CNN) has gained tremendous success in computer vision tasks with its outstanding ability to capture the local latent features. Recently, there has been an increasing interest in extending convolution operations…

Machine Learning · Computer Science 2018-11-09 Guokun Lai , Hanxiao Liu , Yiming Yang

We propose an octree guided neural network architecture and spherical convolutional kernel for machine learning from arbitrary 3D point clouds. The network architecture capitalizes on the sparse nature of irregular point clouds, and…

Computer Vision and Pattern Recognition · Computer Science 2019-03-04 Huan Lei , Naveed Akhtar , Ajmal Mian

We propose a multigrid extension of convolutional neural networks (CNNs). Rather than manipulating representations living on a single spatial grid, our network layers operate across scale space, on a pyramid of grids. They consume multigrid…

Computer Vision and Pattern Recognition · Computer Science 2017-05-15 Tsung-Wei Ke , Michael Maire , Stella X. Yu

Vessel segmentation is widely used to help with vascular disease diagnosis. Vessels reconstructed using existing methods are often not sufficiently accurate to meet clinical use standards. This is because 3D vessel structures are highly…

Image and Video Processing · Electrical Eng. & Systems 2023-01-09 Gangming Zhao , Kongming Liang , Chengwei Pan , Fandong Zhang , Xianpeng Wu , Xinyang Hu , Yizhou Yu

We propose DualConvMesh-Nets (DCM-Net) a family of deep hierarchical convolutional networks over 3D geometric data that combines two types of convolutions. The first type, geodesic convolutions, defines the kernel weights over mesh surfaces…

Computer Vision and Pattern Recognition · Computer Science 2020-04-03 Jonas Schult , Francis Engelmann , Theodora Kontogianni , Bastian Leibe

Convolutional neural networks (CNNs) are used in many areas of computer vision, such as object tracking and recognition, security, military, and biomedical image analysis. This review presents the application of convolutional neural…