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Point cloud completion, which aims at recovering original shape information from partial point clouds, has attracted attention on 3D vision community. Existing methods usually succeed in completion for standard shape, while failing to…

计算机视觉与模式识别 · 计算机科学 2022-09-07 Junshu Tang , Jiachen Xu , Jingyu Gong , Haichuan Song , Yuan Xie , Lizhuang Ma

We consider clustering problems where the goal is to determine an optimal partition of a given point set in Euclidean space in terms of a collection of affine subspaces. While there is vast literature on heuristics for this kind of problem,…

最优化与控制 · 数学 2016-07-26 Francesco Silvestri , Gerhard Reinelt , Christoph Schnörr

Insufficient capability of existing subspace clustering methods to handle data coming from nonlinear manifolds, data corruptions, and out-of-sample data hinders their applicability to address real-world clustering and classification…

计算机视觉与模式识别 · 计算机科学 2020-04-08 Dario Sitnik , Ivica Kopriva

We introduce a novel framework for multiway point cloud mosaicking (named Wednesday), designed to co-align sets of partially overlapping point clouds -- typically obtained from 3D scanners or moving RGB-D cameras -- into a unified…

计算机视觉与模式识别 · 计算机科学 2024-04-02 Shengze Jin , Iro Armeni , Marc Pollefeys , Daniel Barath

Map-to-map matching is a critical task for aligning spatial data across heterogeneous sources, yet it remains challenging due to the lack of ground truth correspondences, sparse node features, and scalability demands. In this paper, we…

机器学习 · 计算机科学 2026-01-21 Chaolong Ying , Yinan Zhang , Lei Zhang , Jiazhuang Wang , Shujun Jia , Tianshu Yu

Unsupervised clustering is one of the most fundamental challenges in machine learning. A popular hypothesis is that data are generated from a union of low-dimensional nonlinear manifolds; thus an approach to clustering is identifying and…

机器学习 · 计算机科学 2017-12-27 Dejiao Zhang , Yifan Sun , Brian Eriksson , Laura Balzano

Subspace clustering is the problem of clustering data that lie close to a union of linear subspaces. In the abstract form of the problem, where no noise or other corruptions are present, the data are assumed to lie in general position…

计算机视觉与模式识别 · 计算机科学 2020-02-13 Manolis C. Tsakiris , Rene Vidal

In this paper, we consider the problem of finding the feature correspondences among a collection of feature sets, by using their point-wise unary features. This is a fundamental problem in computer vision and pattern recognition, which also…

计算机视觉与模式识别 · 计算机科学 2016-06-14 Junchi Yan , Zhe Ren , Hongyuan Zha , Stephen Chu

This paper presents a novel self-supervised approach to reconstruct human shape and pose from noisy point cloud data. Relying on large amount of dataset with ground-truth annotations, recent learning-based approaches predict correspondences…

计算机视觉与模式识别 · 计算机科学 2021-11-30 Xinxin Zuo , Sen Wang , Qiang Sun , Minglun Gong , Li Cheng

Learning to generate 3D point clouds without 3D supervision is an important but challenging problem. Current solutions leverage various differentiable renderers to project the generated 3D point clouds onto a 2D image plane, and train deep…

计算机视觉与模式识别 · 计算机科学 2021-08-10 Chen Chao , Zhizhong Han , Yu-Shen Liu , Matthias Zwicker

This paper studies a factor modeling-based approach for clustering high-dimensional data generated from a mixture of strongly correlated variables. Statistical modeling with correlated structures pervades modern applications in economics,…

统计理论 · 数学 2024-08-23 Shange Tang , Soham Jana , Jianqing Fan

Clustering algorithms are one of the main analytical methods to detect patterns in unlabeled data. Existing clustering methods typically treat samples in a dataset as points in a metric space and compute distances to group together similar…

机器学习 · 计算机科学 2021-10-12 Tarek Naous , Srinjay Sarkar , Abubakar Abid , James Zou

Sparse subspace clustering (SSC) is a state-of-the-art method for segmenting a set of data points drawn from a union of subspaces into their respective subspaces. It is now well understood that SSC produces subspace-preserving data affinity…

信号处理 · 电气工程与系统科学 2018-11-22 Chun-Guang Li , Chong You , René Vidal

With the aggressive scaling of VLSI technology, the explosion of layout patterns creates a critical bottleneck for DFM applications like OPC. Pattern clustering is essential to reduce data complexity, yet existing methods struggle with…

硬件体系结构 · 计算机科学 2025-12-16 Shuo Liu

Clustering is a fundamental unsupervised learning approach. Many clustering algorithms -- such as $k$-means -- rely on the euclidean distance as a similarity measure, which is often not the most relevant metric for high dimensional data…

机器学习 · 计算机科学 2019-10-22 Aude Genevay , Gabriel Dulac-Arnold , Jean-Philippe Vert

In this paper, we develop a method for unsupervised clustering of two-way (matrix) data by combining two recent innovations from different fields: the Sparse Subspace Clustering (SSC) algorithm [10], which groups points coming from a union…

机器学习 · 计算机科学 2015-02-24 Eric Kernfeld , Shuchin Aeron , Misha Kilmer

In this paper, we focus on unsupervised representation learning for clustering of images. Recent advances in deep clustering and unsupervised representation learning are based on the idea that different views of an input image (generated…

计算机视觉与模式识别 · 计算机科学 2022-04-26 Aniket Anand Deshmukh , Jayanth Reddy Regatti , Eren Manavoglu , Urun Dogan

This paper presents a new clustering algorithm for space-time data based on the concepts of topological data analysis and in particular, persistent homology. Employing persistent homology - a flexible mathematical tool from algebraic…

机器学习 · 统计学 2019-10-28 Umar Islambekov , Yulia Gel

How to extract significant point cloud features and estimate the pose between them remains a challenging question, due to the inherent lack of structure and ambiguous order permutation of point clouds. Despite significant improvements in…

计算机视觉与模式识别 · 计算机科学 2021-12-14 Zhu Xu , Zhengyao Bai , Huijie Liu , Qianjie Lu , Shenglan Fan

This paper considers the problem of clustering a collection of unlabeled data points assumed to lie near a union of lower-dimensional planes. As is common in computer vision or unsupervised learning applications, we do not know in advance…

信息论 · 计算机科学 2013-01-31 Mahdi Soltanolkotabi , Emmanuel J. Candés