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A new model-based procedure is developed for sparse clustering of functional data that aims to classify a sample of curves into homogeneous groups while jointly detecting the most informative portions of domain. The proposed method is…

统计方法学 · 统计学 2023-10-04 Fabio Centofanti , Antonio Lepore , Biagio Palumbo

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

In today's data-driven digital era, the amount as well as complexity, such as multi-view, non-Euclidean, and multi-relational, of the collected data are growing exponentially or even faster. Clustering, which unsupervisely extracts valid…

机器学习 · 计算机科学 2025-01-10 Zhao Kang , Xuanting Xie , Bingheng Li , Erlin Pan

A computational theory for clustering and a semi-supervised clustering algorithm is presented. Clustering is defined to be the obtainment of groupings of data such that each group contains no anomalies with respect to a chosen grouping…

机器学习 · 计算机科学 2025-07-17 Nassir Mohammad

Segmentation from point cloud data is essential in many applications such as remote sensing, mobile robots, or autonomous cars. However, the point clouds captured by the 3D range sensor are commonly sparse and unstructured, challenging…

计算机视觉与模式识别 · 计算机科学 2022-11-14 Yu Cao , Yancheng Wang , Yifei Xue , Huiqing Zhang , Yizhen Lao

Despite tremendous advancements in Artificial Intelligence, learning from large sets of data in an unsupervised manner remains a significant challenge. Classical clustering algorithms often fail to discover complex dependencies in large…

机器学习 · 计算机科学 2023-07-18 Adam Piróg , Halina Kwaśnicka

In this paper, we solve a semi-supervised regression problem. Due to the lack of knowledge about the data structure and the presence of random noise, the considered data model is uncertain. We propose a method which combines graph Laplacian…

机器学习 · 统计学 2020-12-02 Vladimir Berikov , Alexander Litvinenko

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…

计算机视觉与模式识别 · 计算机科学 2026-02-03 Huanran Li , Daniel Pimentel-Alarcón

We propose an effective subspace selection scheme as a post-processing step to improve results obtained by sparse subspace clustering (SSC). Our method starts by the computation of stable subspaces using a novel random sampling scheme. Thus…

计算机视觉与模式识别 · 计算机科学 2016-05-30 Duc-Son Pham , Ognjen Arandjelovic , Svetha Venkatesh

Clustering can be defined as the process of assembling objects into a number of groups whose elements are similar to each other in some manner. As a technique that is used in many domains, such as face clustering, plant categorization,…

机器学习 · 计算机科学 2022-04-05 Mehmet F. Demirel , Enrico Au-Yeung

The performance of supervised classification techniques often deteriorates when the data has noisy labels. Even the semi-supervised classification approaches have largely focused only on the problem of handling missing labels. Most of the…

机器学习 · 计算机科学 2022-05-05 Ashit Gupta , Anirudh Deodhar , Tathagata Mukherjee , Venkataramana Runkana

Hierarchical clustering is a popular unsupervised data analysis method. For many real-world applications, we would like to exploit prior information about the data that imposes constraints on the clustering hierarchy, and is not captured by…

数据结构与算法 · 计算机科学 2018-07-17 Vaggos Chatziafratis , Rad Niazadeh , Moses Charikar

Clustering large spatial databases is an important problem, which tries to find the densely populated regions in a spatial area to be used in data mining, knowledge discovery, or efficient information retrieval. However most algorithms have…

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

Clustering is a powerful and extensively used data science tool. While clustering is generally thought of as an unsupervised learning technique, there are also supervised variations such as Spath's clusterwise regression that attempt to…

机器学习 · 计算机科学 2023-05-09 Aravinth Chembu , Scott Sanner

The analysis of large datasets is often complicated by the presence of missing entries, mainly because most of the current machine learning algorithms are designed to work with full data. The main focus of this work is to introduce a…

机器学习 · 计算机科学 2018-01-08 Sunrita Poddar , Mathews Jacob

Identifying a suitable set of descriptors for modeling physical systems often utilizes either deep physical insights or statistical methods such as compressed sensing. In statistical learning, a class of methods known as structured sparsity…

材料科学 · 物理学 2019-10-30 Zhidong Leong , Teck Leong Tan

Spectral clustering is a powerful unsupervised machine learning algorithm for clustering data with non convex or nested structures. With roots in graph theory, it uses the spectral properties of the Laplacian matrix to project the data in a…

量子物理 · 物理学 2021-06-15 Iordanis Kerenidis , Jonas Landman

Spectral clustering is a popular method for effectively clustering nonlinearly separable data. However, computational limitations, memory requirements, and the inability to perform incremental learning challenge its widespread application.…

机器学习 · 计算机科学 2023-11-15 Jo-Chun Chen , Hung-Hsuan Chen

Subspace clustering refers to the problem of clustering high-dimensional data into a union of low-dimensional subspaces. Current subspace clustering approaches are usually based on a two-stage framework. In the first stage, an affinity…

机器学习 · 计算机科学 2019-10-22 Shuai Yang , Wenqi Zhu , Yuesheng Zhu

Cluster analysis relates to the task of assigning objects into groups which ideally present some desirable characteristics. When a cluster structure is confined to a subset of the feature space, traditional clustering techniques face…

机器学习 · 统计学 2026-04-14 Efthymios Costa , Ioanna Papatsouma , Angelos Markos