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Although numerous algorithms have been proposed to solve the categorical data clustering problem, how to access the statistical significance of a set of categorical clusters remains unaddressed. To fulfill this void, we employ the…

机器学习 · 计算机科学 2022-11-09 Lianyu Hu , Mudi Jiang , Yan Liu , Zengyou He

Subspace clustering (SC) aims to cluster data lying in a union of low-dimensional subspaces. Usually, SC learns an affinity matrix and then performs spectral clustering. Both steps suffer from high time and space complexity, which leads to…

机器学习 · 计算机科学 2021-06-01 Jicong Fan

Common clustering algorithms require multiple scans of all the data to achieve convergence, and this is prohibitive when large databases, with data arriving in streams, must be processed. Some algorithms to extend the popular K-means method…

应用统计 · 统计学 2017-12-22 Giacomo Aletti , Alessandra Micheletti

Graph clustering or community detection constitutes an important task for investigating the internal structure of graphs, with a plethora of applications in several domains. Traditional techniques for graph clustering, such as spectral…

Coresets are compact representations of data sets such that models trained on a coreset are provably competitive with models trained on the full data set. As such, they have been successfully used to scale up clustering models to massive…

机器学习 · 统计学 2018-06-08 Olivier Bachem , Mario Lucic , Andreas Krause

Clustering with fast algorithms large samples of high dimensional data is an important challenge in computational statistics. Borrowing ideas from MacQueen (1967) who introduced a sequential version of the $k$-means algorithm, a new class…

统计计算 · 统计学 2015-03-17 Hervé Cardot , Peggy Cénac , Jean-Marie Monnez

Clustering is a widely used technique with a long and rich history in a variety of areas. However, most existing algorithms do not scale well to large datasets, or are missing theoretical guarantees of convergence. This paper introduces a…

机器学习 · 统计学 2024-10-16 Yijia Zhou , Kyle A. Gallivan , Adrian Barbu

As a kind of basic machine learning method, clustering algorithms group data points into different categories based on their similarity or distribution. We present a clustering algorithm by finding hyper-planes to distinguish the data…

计算机视觉与模式识别 · 计算机科学 2020-04-28 Luhong Diao , Jinying Gao1 , Manman Deng

Clustering is one of the most fundamental tasks in machine learning, and the k-means clustering algorithm is perhaps one of the most widely used clustering algorithms. However, it suffers from several limitations, such as sensitivity to…

量子物理 · 物理学 2026-04-10 Syed M. Abdullah , Alisha Baba , Muhammad Siddique , Muhammad Faryad

This paper presents algorithms for hierarchical, agglomerative clustering which perform most efficiently in the general-purpose setup that is given in modern standard software. Requirements are: (1) the input data is given by pairwise…

机器学习 · 统计学 2011-09-13 Daniel Müllner

We survey agglomerative hierarchical clustering algorithms and discuss efficient implementations that are available in R and other software environments. We look at hierarchical self-organizing maps, and mixture models. We review grid-based…

信息检索 · 计算机科学 2011-05-03 Fionn Murtagh , Pedro Contreras

Recent advances in technology have made our work easier compare to earlier times. Computer network is growing day by day but while discussing about the security of computers and networks it has always been a major concerns for organizations…

分布式、并行与集群计算 · 计算机科学 2014-04-11 Ravi Ranjan , G. Sahoo

In this thesis, we propose several modelling strategies to tackle evolving data in different contexts. In the framework of static clustering, we start by introducing a soft kernel spectral clustering (SKSC) algorithm, which can better deal…

社会与信息网络 · 计算机科学 2014-11-24 Rocco Langone

In today's world, healthcare is the most important factor affecting human life. Due to heavy work load it is not possible for personal healthcare. The proposed system acts as a preventive measure for determining whether a person is fit or…

We define the notion of a well-clusterable data set combining the point of view of the objective of $k$-means clustering algorithm (minimising the centric spread of data elements) and common sense (clusters shall be separated by gaps). We…

机器学习 · 计算机科学 2020-04-07 Mieczysław A. Kłopotek

Data clustering is a technique for clustering set of objects into known number of groups. Several approaches are widely applied to data clustering so that objects within the clusters are similar and objects in different clusters are far…

机器学习 · 计算机科学 2015-05-14 R. Jensi , G. Wiselin Jiji

Clustering is an important data mining technique where we will be interested in maximizing intracluster distance and also minimizing intercluster distance. We have utilized clustering techniques for detecting deviation in product sales and…

数据库 · 计算机科学 2013-12-11 S. Hanumanth Sastry , Prof. M. S. Prasada Babu

Clustering algorithms are among the most widely used data mining methods due to their exploratory power and being an initial preprocessing step that paves the way for other techniques. But the problem of calculating the optimal number of…

机器学习 · 计算机科学 2023-10-03 Md Nishat Raihan

Understanding treatment effect heterogeneity is vital for scientific and policy research. However, identifying and evaluating heterogeneous treatment effects pose significant challenges due to the typically unknown subgroup structure.…

统计方法学 · 统计学 2024-11-05 Kwangho Kim , Jisu Kim , Larry A. Wasserman , Edward H. Kennedy

Among all the partition based clustering algorithms K-means is the most popular and well known method. It generally shows impressive results even in considerably large data sets. The computational complexity of K-means does not suffer from…

机器学习 · 计算机科学 2009-12-22 Samarjeet Borah , Mrinal Kanti Ghose