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Understanding the global organization of complicated and high dimensional data is of primary interest for many branches of applied sciences. It is typically achieved by applying dimensionality reduction techniques mapping the considered…

计算几何 · 计算机科学 2024-11-11 Paweł Dłotko , Davide Gurnari , Mathis Hallier , Anna Jurek-Loughrey

Given full or partial information about a collection of points that lie close to a union of several subspaces, subspace clustering refers to the process of clustering the points according to their subspace and identifying the subspaces. One…

机器学习 · 统计学 2018-01-16 Zachary Charles , Amin Jalali , Rebecca Willett

Sparse clustering, which aims to find a proper partition of an extremely high-dimensional data set with redundant noise features, has been attracted more and more interests in recent years. The existing studies commonly solve the problem in…

机器学习 · 统计学 2019-02-25 Xiangyu Chang , Yu Wang , Rongjian Li , Zongben Xu

Advancements in tools like Shapely 2.0 and Triton can significantly improve the efficiency of spatial similarity computations by enabling faster and more scalable geometric operations. However, for extremely large datasets, these…

机器学习 · 计算机科学 2025-09-30 John N. Daras

Clustering is a fundamental data processing task used for grouping records based on one or more features. In the vertically partitioned setting, data is distributed among entities, with each holding only a subset of those features. A key…

密码学与安全 · 计算机科学 2025-04-11 Federico Mazzone , Trevor Brown , Florian Kerschbaum , Kevin H. Wilson , Maarten Everts , Florian Hahn , Andreas Peter

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…

计算机视觉与模式识别 · 计算机科学 2017-11-28 Mostafa Rahmani , George Atia

Multiple clustering has gathered significant attention in recent years due to its potential to reveal multiple hidden structures of the data from different perspectives. Most of multiple clustering methods first derive feature…

计算机视觉与模式识别 · 计算机科学 2024-02-09 Jiawei Yao , Juhua Hu

In longitudinal data analysis, observation points of repeated measurements over time often vary among subjects except in well-designed experimental studies. Additionally, measurements for each subject are typically obtained at only a few…

统计方法学 · 统计学 2024-11-14 Michio Yamamoto , Yoshikazu Terada

Clustering has long been a popular unsupervised learning approach to identify groups of similar objects and discover patterns from unlabeled data in many applications. Yet, coming up with meaningful interpretations of the estimated clusters…

统计方法学 · 统计学 2020-05-26 Minjie Wang , Tianyi Yao , Genevera I. Allen

The minimum sum-of-squares clustering (MSSC), or k-means type clustering, is traditionally considered an unsupervised learning task. In recent years, the use of background knowledge to improve the cluster quality and promote…

最优化与控制 · 数学 2022-07-26 Veronica Piccialli , Anna Russo Russo , Antonio M. Sudoso

Co-clustering is a specific type of clustering that addresses the problem of finding groups of objects without necessarily considering all attributes. This technique has shown to have more consistent results in high-dimensional sparse data…

机器学习 · 计算机科学 2021-10-28 Yuri Santos , Jônata Tyska , Vania Bogorny

The classical k-means clustering, based on distances computed from all data features, cannot be directly applied to incomplete data with missing values. A natural extension of k-means to missing data, namely k-POD, uses only the observed…

统计方法学 · 统计学 2025-07-17 Xin Guan , Yoshikazu Terada

Short text clustering is a challenging problem due to its sparseness of text representation. Here we propose a flexible Self-Taught Convolutional neural network framework for Short Text Clustering (dubbed STC^2), which can flexibly and…

信息检索 · 计算机科学 2017-01-03 Jiaming Xu , Bo Xu , Peng Wang , Suncong Zheng , Guanhua Tian , Jun Zhao , Bo Xu

This paper reports on ongoing research investigating more expressive approaches to spatial-temporal trajectory clustering. Spatial-temporal data is increasingly becoming universal as a result of widespread use of GPS and mobile devices,…

数据库 · 计算机科学 2017-12-12 Ivens Portugal , Paulo Alencar , Donald Cowan

The problem of estimating the number of clusters (say k) is one of the major challenges for the partitional clustering. This paper proposes an algorithm named k-SCC to estimate the optimal k in categorical data clustering. For the…

机器学习 · 计算机科学 2025-01-28 Duy-Tai Dinh , Tsutomu Fujinami , Van-Nam Huynh

Subspace clustering aims to cluster unlabeled data that lies in a union of low-dimensional linear subspaces. Deep subspace clustering approaches based on auto-encoders have become very popular to solve subspace clustering problems. However,…

机器学习 · 计算机科学 2019-10-15 Shuai Yang , Wenqi Zhu , Yuesheng Zhu

The k-means clustering algorithm is a popular algorithm that partitions data into k clusters. There are many improvements to accelerate the standard algorithm. Most current research employs upper and lower bounds on point-to-cluster…

机器学习 · 计算机科学 2024-10-22 Andreas Lang , Erich Schubert

Data clustering is an approach to seek for structure in sets of complex data, i.e., sets of "objects". The main objective is to identify groups of objects which are similar to each other, e.g., for classification. Here, an introduction to…

数据分析、统计与概率 · 物理学 2016-02-17 Alexander K. Hartmann

Feature selection methods are widely used to address the high computational overheads and curse of dimensionality in classifying high-dimensional data. Most conventional feature selection methods focus on handling homogeneous features,…

机器学习 · 计算机科学 2021-11-17 Xuyang Yan , Mrinmoy Sarkar , Biniam Gebru , Shabnam Nazmi , Abdollah Homaifar

One of the applications of center-based clustering algorithms such as K-Means is partitioning data points into K clusters. In some examples, the feature space relates to the underlying problem we are trying to solve, and sometimes we can…

机器学习 · 计算机科学 2020-09-23 Ali Hassani , Amir Iranmanesh , Mahdi Eftekhari , Abbas Salemi