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We investigate the unsupervised node classification problem on random hypergraphs under the non-uniform Hypergraph Stochastic Block Model (HSBM) with two equal-sized communities. In this model, edges appear independently with probabilities…

Statistics Theory · Mathematics 2025-12-01 Hai-Xiao Wang

This paper focuses on the statistical analysis of shapes of data objects called shape graphs, a set of nodes connected by articulated curves with arbitrary shapes. A critical need here is a constrained registration of points (nodes to…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Shenyuan Liang , Mauricio Pamplona Segundo , Sathyanarayanan N. Aakur , Sudeep Sarkar , Anuj Srivastava

Feature descriptors of point clouds are used in several applications, such as registration and part segmentation of 3D point clouds. Learning discriminative representations of local geometric features is unquestionably the most important…

Computer Vision and Pattern Recognition · Computer Science 2022-09-01 Seunghwan Jung , Yeong-Gil Shin , Minyoung Chung

Scene graphs have been recently introduced into 3D spatial understanding as a comprehensive representation of the scene. The alignment between 3D scene graphs is the first step of many downstream tasks such as scene graph aided point cloud…

Computer Vision and Pattern Recognition · Computer Science 2024-03-29 Yaxu Xie , Alain Pagani , Didier Stricker

Learning maps between data samples is fundamental. Applications range from representation learning, image translation and generative modeling, to the estimation of spatial deformations. Such maps relate feature vectors, or map between…

Computer Vision and Pattern Recognition · Computer Science 2021-06-18 Hastings Greer , Roland Kwitt , Francois-Xavier Vialard , Marc Niethammer

Persistence diagrams are important tools in the field of topological data analysis that describe the presence and magnitude of features in a filtered topological space. However, current approaches for comparing a persistence diagram to a…

Computational Geometry · Computer Science 2021-03-24 Brittany Terese Fasy , Xiaozhou He , Zhihui Liu , Samuel Micka , David L. Millman , Binhai Zhu

We introduce Neural Deformation Graphs for globally-consistent deformation tracking and 3D reconstruction of non-rigid objects. Specifically, we implicitly model a deformation graph via a deep neural network. This neural deformation graph…

Computer Vision and Pattern Recognition · Computer Science 2020-12-04 Aljaž Božič , Pablo Palafox , Michael Zollhöfer , Justus Thies , Angela Dai , Matthias Nießner

Statistical quality control in semiconductor manufacturing hinges on effective diagnostics of wafer bin maps, wherein a key challenge is to detect how defective chips tend to spatially cluster on a wafer--a problem known as spatial pattern…

Applications · Statistics 2021-03-01 Ahmed Aziz Ezzat , Sheng Liu , Dorit S. Hochbaum , Yu Ding

Point cloud analysis is attracting attention from Artificial Intelligence research since it can be widely used in applications such as robotics, Augmented Reality, self-driving. However, it is always challenging due to irregularities,…

Computer Vision and Pattern Recognition · Computer Science 2020-11-18 Shi Qiu , Saeed Anwar , Nick Barnes

This paper introduces a novel family of outlier detection algorithms based on Cluster Catch Digraphs (CCDs), specifically tailored to address the challenges of high dimensionality and varying cluster shapes, which deteriorate the…

Machine Learning · Statistics 2024-10-10 Rui Shi , Nedret Billor , Elvan Ceyhan

In this paper, we propose a novel learning-based framework for 3D shape registration, which overcomes the challenges of significant non-rigid deformation and partiality undergoing among input shapes, and, remarkably, requires no…

Computer Vision and Pattern Recognition · Computer Science 2026-05-14 Zhangquan Chen , Puhua Jiang , Mingze Sun , Ruqi Huang

The space of graphs is often characterised by a non-trivial geometry, which complicates learning and inference in practical applications. A common approach is to use embedding techniques to represent graphs as points in a conventional…

Machine Learning · Statistics 2024-03-26 Daniele Grattarola , Daniele Zambon , Cesare Alippi , Lorenzo Livi

Deep learning's success has been widely recognized in a variety of machine learning tasks, including image classification, audio recognition, and natural language processing. As an extension of deep learning beyond these domains, graph…

Machine Learning · Computer Science 2021-07-22 Zhiqian Chen , Fanglan Chen , Lei Zhang , Taoran Ji , Kaiqun Fu , Liang Zhao , Feng Chen , Lingfei Wu , Charu Aggarwal , Chang-Tien Lu

Two-view correspondence pruning aims to identify reliable correspondences for camera pose estimation, serving as a fundamental step in many 3D vision tasks. Existing methods rely on geometric consistency to seek true correspondences…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Tangfei Liao , Xiaoqin Zhang , Tao Wang , Hao Ye , Min Li , Guobao Xiao , Mang Ye

Graph anomaly detection plays a vital role for identifying abnormal instances in complex networks. Despite advancements of methodology based on deep learning in recent years, existing benchmarking approaches exhibit limitations that hinder…

Machine Learning · Computer Science 2024-03-08 Jing Gu , Dongmian Zou

Existing methods for rotation estimation between two spherical ($\mathbb{S}^2$) patterns typically rely on spherical cross-correlation maximization between two spherical function. However, these approaches exhibit computational complexities…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Anik Sarker , Alan T. Asbeck

Image registration aims to establish spatial correspondence across pairs, or groups of images, and is a cornerstone of medical image computing and computer-assisted-interventions. Currently, most deep learning-based registration methods…

Image and Video Processing · Electrical Eng. & Systems 2021-07-12 Xiang Chen , Nishant Ravikumar , Yan Xia , Alejandro F Frangi

In this work we propose a deep learning network for deformable image registration (DIRNet). The DIRNet consists of a convolutional neural network (ConvNet) regressor, a spatial transformer, and a resampler. The ConvNet analyzes a pair of…

Computer Vision and Pattern Recognition · Computer Science 2017-12-08 Bob D. de Vos , Floris F. Berendsen , Max A. Viergever , Marius Staring , Ivana Išgum

Non-rigid 3D registration, which deforms a source 3D shape in a non-rigid way to align with a target 3D shape, is a classical problem in computer vision. Such problems can be challenging because of imperfect data (noise, outliers and…

Computer Vision and Pattern Recognition · Computer Science 2023-02-21 Yuxin Yao , Bailin Deng , Weiwei Xu , Juyong Zhang

In this paper, we present DV-Matcher, a novel learning-based framework for estimating dense correspondences between non-rigidly deformable point clouds. Learning directly from unstructured point clouds without meshing or manual labelling,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Zhangquan Chen , Puhua Jiang , Ruqi Huang