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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

The problem of clustering noisy and incompletely observed high-dimensional data points into a union of low-dimensional subspaces and a set of outliers is considered. The number of subspaces, their dimensions, and their orientations are…

机器学习 · 统计学 2015-08-24 Reinhard Heckel , Helmut Bölcskei

Most multi-view clustering methods are limited by shallow models without sound nonlinear information perception capability, or fail to effectively exploit complementary information hidden in different views. To tackle these issues, we…

机器学习 · 计算机科学 2022-10-14 Fu Lele , Zhang Lei , Yang Jinghua , Chen Chuan , Zhang Chuanfu , Zheng Zibin

Spectral clustering is a novel clustering method which can detect complex shapes of data clusters. However, it requires the eigen decomposition of the graph Laplacian matrix, which is proportion to $O(n^3)$ and thus is not suitable for…

机器学习 · 计算机科学 2013-07-02 Nguyen Lu Dang Khoa , Sanjay Chawla

Urban structure detection is a basic task in urban geography. Clustering is a core technology to detect the patterns of urban spatial structure, urban functional region, and so on. In big data era, diverse urban sensing datasets recording…

社会与信息网络 · 计算机科学 2017-07-13 Xin Lin , Haifeng Li , Yan Zhang , Lei Gao , Ling Zhao , Min Deng

In multimedia understanding tasks, corrupted samples pose a critical challenge, because when fed to machine learning models they lead to performance degradation. In the past, three groups of approaches have been proposed to handle noisy…

计算机视觉与模式识别 · 计算机科学 2024-03-01 Francesco Barbato , Umberto Michieli , Mehmet Kerim Yucel , Pietro Zanuttigh , Mete Ozay

The spatial photonic Ising machine (SPIM) [D. Pierangeli et al., Phys. Rev. Lett. 122, 213902 (2019)] is a promising optical architecture utilizing spatial light modulation for solving large-scale combinatorial optimization problems…

无序系统与神经网络 · 物理学 2023-08-09 Hiroshi Yamashita , Ken-ichi Okubo , Suguru Shimomura , Yusuke Ogura , Jun Tanida , Hideyuki Suzuki

A low-rank transformation learning framework for subspace clustering and classification is here proposed. Many high-dimensional data, such as face images and motion sequences, approximately lie in a union of low-dimensional subspaces. The…

计算机视觉与模式识别 · 计算机科学 2014-03-11 Qiang Qiu , Guillermo Sapiro

Although Simultaneous Localization and Mapping (SLAM) has been an active research topic for decades, current state-of-the-art methods still suffer from instability or inaccuracy due to feature insufficiency or its inherent estimation drift,…

机器人学 · 计算机科学 2022-07-28 Yang Lyu , Thien-Minh Nguyen , Liu Liu , Muqing Cao , Shenghai Yuan , Thien Hoang Nguyen , Lihua Xie

Dynamic graph clustering aims to detect and track time-varying clusters in dynamic graphs, revealing the evolutionary mechanisms of complex real-world dynamic systems. Matrix factorization-based methods are promising approaches for this…

机器学习 · 计算机科学 2025-02-11 Dongyuan Li , Satoshi Kosugi , Ying Zhang , Manabu Okumura , Feng Xia , Renhe Jiang

In this paper, we propose an efficient clustering technique to solve the problem of clustering in the presence of obstacles. The proposed algorithm divides the spatial area into rectangular cells. Each cell is associated with statistical…

数据库 · 计算机科学 2009-09-25 Mohamed E. El-Sharkawi , Mohamed A. El-Zawawy

This paper considers the problem of subspace clustering under noise. Specifically, we study the behavior of Sparse Subspace Clustering (SSC) when either adversarial or random noise is added to the unlabelled input data points, which are…

机器学习 · 统计学 2015-01-23 Yu-Xiang Wang , Huan Xu

This paper presents an efficient method to perform Structured Matrix Approximation by Separation and Hierarchy (SMASH), when the original dense matrix is associated with a kernel function. Given points in a domain, a tree structure is first…

数值分析 · 数学 2017-05-17 Difeng Cai , Edmond Chow , Yousef Saad , Yuanzhe Xi

The stacked intelligent metasurface (SIM), comprising multiple layers of reconfigurable transmissive metasurfaces, is becoming an increasingly viable solution for future wireless communication systems. In this paper, we explore the…

信息论 · 计算机科学 2025-04-23 Enyu Shi , Jiayi Zhang , Jiancheng An , Marco Di Renzo , Bo Ai , Chau Yuen

We present SLAIM - Simultaneous Localization and Implicit Mapping. We propose a novel coarse-to-fine tracking model tailored for Neural Radiance Field SLAM (NeRF-SLAM) to achieve state-of-the-art tracking performance. Notably, existing…

计算机视觉与模式识别 · 计算机科学 2024-04-18 Vincent Cartillier , Grant Schindler , Irfan Essa

In this paper, we propose a regularized mixture probabilistic model to cluster matrix data and apply it to brain signals. The approach is able to capture the sparsity (low rank, small/zero values) of the original signals by introducing…

统计方法学 · 统计学 2018-08-07 Xu Gao , Weining Shen , Hernando Ombao

Discovering and clustering subspaces in high-dimensional data is a fundamental problem of machine learning with a wide range of applications in data mining, computer vision, and pattern recognition. Earlier methods divided the problem into…

机器学习 · 统计学 2018-08-30 Maryam Jaberi , Marianna Pensky , Hassan Foroosh

Stacked intelligent metasurface (SIM), which consists of multiple layers of intelligent metasurfaces, is emerging as a promising solution for future wireless communication systems. In this timely context, we focus on broadcast…

信息论 · 计算机科学 2025-10-22 Nemanja Stefan Perović , Eduard E. Bahingayi , Le-Nam Tran

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

This work presents a novel method for fitting superquadrics to point clouds under the contamination of noise and outliers, which has many applications for shape modeling across diverse fields. Unlike prior approaches that either exclusively…

计算机视觉与模式识别 · 计算机科学 2026-05-19 Mingyang Zhao , Sipu Ruan , Xiaohong Jia