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Multi-view clustering methods have been a focus in recent years because of their superiority in clustering performance. However, typical traditional multi-view clustering algorithms still have shortcomings in some aspects, such as removal…

Machine Learning · Computer Science 2020-08-25 Junpeng Tan , Yukai Shi , Zhijing Yang , Caizhen Wen , Liang Lin

The matching of 3D shapes has been extensively studied for shapes represented as surface meshes, as well as for shapes represented as point clouds. While point clouds are a common representation of raw real-world 3D data (e.g. from laser…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Dongliang Cao , Florian Bernard

Interpreting objects with basic geometric primitives has long been studied in computer vision. Among geometric primitives, superquadrics are well known for their ability to represent a wide range of shapes with few parameters. However, as…

Computer Vision and Pattern Recognition · Computer Science 2023-07-07 Weixiao Liu , Yuwei Wu , Sipu Ruan , Gregory S. Chirikjian

Algebraic Subspace Clustering (ASC) is a simple and elegant method based on polynomial fitting and differentiation for clustering noiseless data drawn from an arbitrary union of subspaces. In practice, however, ASC is limited to…

Computer Vision and Pattern Recognition · Computer Science 2015-10-16 Manolis C. Tsakiris , Rene Vidal

With the membership function being strictly positive, the conventional fuzzy c-means clustering method sometimes causes imbalanced influence when clusters of vastly different sizes exist. That is, an outstandingly large cluster drags to its…

Machine Learning · Statistics 2023-03-28 Akira R. Kinjo , Daphne Teck Ching Lai

In subspace clustering, a group of data points belonging to a union of subspaces are assigned membership to their respective subspaces. This paper presents a new approach dubbed Innovation Pursuit (iPursuit) to the problem of subspace…

Computer Vision and Pattern Recognition · Computer Science 2017-11-28 Mostafa Rahmani , George Atia

Point clouds captured by scanning sensors are often perturbed by noise, which have a highly negative impact on downstream tasks (e.g. surface reconstruction and shape understanding). Previous works mostly focus on training neural networks…

Computer Vision and Pattern Recognition · Computer Science 2025-10-30 Junsheng Zhou , Xingyu Shi , Haichuan Song , Yi Fang , Yu-Shen Liu , Zhizhong Han

We propose a novel learning-based approach for robust 3D shape matching. Our method builds upon deep functional maps and can be trained in a fully unsupervised manner. Previous deep functional map methods mainly focus on predicting…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Dongliang Cao , Paul Roetzer , Florian Bernard

Subspace clustering aims to group data points that lie in a union of low-dimensional subspaces and finds wide application in computer vision, hyperspectral imaging, and recommendation systems. However, most existing methods assume fully…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Huanran Li , Daniel Pimentel-Alarcón

This work presents an unsupervised deep discriminant analysis for clustering. The method is based on deep neural networks and aims to minimize the intra-cluster discrepancy and maximize the inter-cluster discrepancy in an unsupervised…

Machine Learning · Computer Science 2022-06-13 Jinyu Cai , Wenzhong Guo , Jicong Fan

Contemporary point cloud segmentation approaches largely rely on richly annotated 3D training data. However, it is both time-consuming and challenging to obtain consistently accurate annotations for such 3D scene data. Moreover, there is…

Computer Vision and Pattern Recognition · Computer Science 2023-11-13 Jiaxu Liu , Zhengdi Yu , Toby P. Breckon , Hubert P. H. Shum

In unsupervised feature learning, sample specificity based methods ignore the inter-class information, which deteriorates the discriminative capability of representation models. Clustering based methods are error-prone to explore the…

Computer Vision and Pattern Recognition · Computer Science 2020-07-16 Yifei Zhang , Chang Liu , Yu Zhou , Wei Wang , Weiping Wang , Qixiang Ye

Centroid-based methods including k-means and fuzzy c-means are known as effective and easy-to-implement approaches to clustering purposes in many applications. However, these algorithms cannot be directly applied to supervised tasks. This…

Machine Learning · Computer Science 2021-04-20 Pooya Ashtari , Fateme Nateghi Haredasht , Hamid Beigy

A novel method to obtain hierarchical and overlapping clusters from network data -i.e., a set of nodes endowed with pairwise dissimilarities- is presented. The introduced method is hierarchical in the sense that it outputs a nested…

Social and Information Networks · Computer Science 2017-12-13 Fernando Gama , Santiago Segarra , Alejandro Ribeiro

Clustering is one of the most common unsupervised learning tasks in machine learning and data mining. Clustering algorithms have been used in a plethora of applications across several scientific fields. However, there has been limited…

Machine Learning · Computer Science 2017-02-09 Quang N. Tran , Ba-Ngu Vo , Dinh Phung , Ba-Tuong Vo

Convex clustering, a convex relaxation of k-means clustering and hierarchical clustering, has drawn recent attentions since it nicely addresses the instability issue of traditional nonconvex clustering methods. Although its computational…

Methodology · Statistics 2019-01-01 Binhuan Wang , Yilong Zhang , Will Wei Sun , Yixin Fang

Deep clustering as an important branch of unsupervised representation learning focuses on embedding semantically similar samples into the identical feature space. This core demand inspires the exploration of contrastive learning and…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Haifeng Xia , Hai Huang , Zhengming Ding

Pre-trained point cloud analysis models have shown promising advancements in various downstream tasks, yet their effectiveness is typically suffering from low-quality point cloud (i.e., noise and incompleteness), which is a common issue in…

Computer Vision and Pattern Recognition · Computer Science 2025-07-28 Zixiang Ai , Zhenyu Cui , Yuxin Peng , Jiahuan Zhou

This paper presents a novel geometrical approach to investigate the convexity of a density-based cluster. Our approach is grid-based and we are about to calibrate the value space of the cluster. However, the cluster objects are coming from…

Computational Geometry · Computer Science 2020-09-25 Sayyed-Ahmad Naghavi-Nozad

We present Topological Point Cloud Clustering (TPCC), a new method to cluster points in an arbitrary point cloud based on their contribution to global topological features. TPCC synthesizes desirable features from spectral clustering and…

Algebraic Topology · Mathematics 2025-03-04 Vincent P. Grande , Michael T. Schaub