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Clustering is an important tool for data exploration where the goal is to subdivide a data set into disjoint clusters that fit well into the underlying data structure. When dealing with sensitive data, privacy-preserving algorithms aim to…

密码学与安全 · 计算机科学 2024-08-21 Johannes Liebenow , Yara Schütt , Tanya Braun , Marcel Gehrke , Florian Thaeter , Esfandiar Mohammadi

This work proposes a clusterization algorithm called k-Morphological Sets (k-MS), based on morphological reconstruction and heuristics. k-MS is faster than the CPU-parallel k-Means in worst case scenarios and produces enhanced…

机器学习 · 计算机科学 2022-08-31 É. O. Rodrigues , L. Torok , P. Liatsis , J. Viterbo , A. Conci

We consider the problem of clustering datasets in the presence of arbitrary outliers. Traditional clustering algorithms such as k-means and spectral clustering are known to perform poorly for datasets contaminated with even a small number…

机器学习 · 统计学 2021-02-02 Prateek R. Srivastava , Purnamrita Sarkar , Grani A. Hanasusanto

Notwithstanding the popularity of conventional clustering algorithms such as K-means and probabilistic clustering, their clustering results are sensitive to the presence of outliers in the data. Even a few outliers can compromise the…

机器学习 · 统计学 2015-05-27 Pedro A. Forero , Vassilis Kekatos , Georgios B. Giannakis

Supervised classification can be effective for prediction but sometimes weak on interpretability or explainability (XAI). Clustering, on the other hand, tends to isolate categories or profiles that can be meaningful but there is no…

机器学习 · 计算机科学 2021-04-27 Vincent Lemaire , Oumaima Alaoui Ismaili , Antoine Cornuéjols , Dominique Gay

Neighbor Embedding (NE) aims to preserve pairwise similarities between data items and has been shown to yield an effective principle for data visualization. However, even the best existing NE methods such as Stochastic Neighbor Embedding…

机器学习 · 计算机科学 2021-09-15 Zhirong Yang , Yuwei Chen , Denis Sedov , Samuel Kaski , Jukka Corander

Convex clustering is an attractive clustering algorithm with favorable properties such as efficiency and optimality owing to its convex formulation. It is thought to generalize both k-means clustering and agglomerative clustering. However,…

机器学习 · 统计学 2021-05-19 Canh Hao Nguyen , Hiroshi Mamitsuka

Clustering categorical data is an integral part of data mining and has attracted much attention recently. In this paper, we present k-ANMI, a new efficient algorithm for clustering categorical data. The k-ANMI algorithm works in a way that…

人工智能 · 计算机科学 2007-05-23 Zengyou He , Xiaofei Xu , Shengchun Deng

Data mining focuses on discovering interesting, non-trivial and meaningful information from large datasets. Data clustering is one of the unsupervised and descriptive data mining task which group data based on similarity features and…

神经与进化计算 · 计算机科学 2023-05-09 Pitawelayalage Dasun Dileepa Pitawela , Gamage Upeksha Ganegoda

Deep clustering methods improve the performance of clustering tasks by jointly optimizing deep representation learning and clustering. While numerous deep clustering algorithms have been proposed, most of them rely on artificially…

机器学习 · 计算机科学 2024-01-30 Zhanwen Cheng , Feijiang Li , Jieting Wang , Yuhua Qian

Clustering is an important part of many modern data analysis pipelines, including network analysis and data retrieval. There are many different clustering algorithms developed by various communities, and it is often not clear which…

机器学习 · 计算机科学 2019-10-04 Maria-Florina Balcan , Travis Dick , Manuel Lang

This paper studies clustering of data sequences using the k-medoids algorithm. All the data sequences are assumed to be generated from \emph{unknown} continuous distributions, which form clusters with each cluster containing a composite set…

机器学习 · 计算机科学 2019-03-27 Tiexing Wang , Qunwei Li , Donald J. Bucci , Yingbin Liang , Biao Chen , Pramod K. Varshney

Detecting arbitrarily shaped clusters in high-dimensional noisy data is challenging for current clustering methods. We introduce SHADE (Structure-preserving High-dimensional Analysis with Density-based Exploration), the first deep…

机器学习 · 计算机科学 2024-10-10 Anna Beer , Pascal Weber , Lukas Miklautz , Collin Leiber , Walid Durani , Christian Böhm , Claudia Plant

There is growing empirical evidence that spherical $k$-means clustering performs well at identifying groups of concomitant extremes in high dimensions, thereby leading to sparse models. We provide one of the first theoretical results…

统计理论 · 数学 2022-03-21 V. Fomichov , J. Ivanovs

Subspace clustering refers to the problem of clustering high-dimensional data points into a union of low-dimensional linear subspaces, where the number of subspaces, their dimensions and orientations are all unknown. In this paper, we…

机器学习 · 统计学 2014-03-17 Reinhard Heckel , Eirikur Agustsson , Helmut Bölcskei

The learning of mixture models can be viewed as a clustering problem. Indeed, given data samples independently generated from a mixture of distributions, we often would like to find the {\it correct target clustering} of the samples…

机器学习 · 统计学 2022-08-26 Zhaoqiang Liu , Vincent Y. F. Tan

Clustering is one of the most fundamental problems in data analysis and it has been studied extensively in the literature. Though many clustering algorithms have been proposed, clustering theories that justify the use of these clustering…

机器学习 · 计算机科学 2016-02-22 Cheng-Shang Chang , Wanjiun Liao , Yu-Sheng Chen , Li-Heng Liou

Density-based spatial clustering of applications with noise (DBSCAN) is a data clustering algorithm which has the high-performance rate for dataset where clusters have the constant density of data points. One of the significant attributes…

A hierarchical scheme for clustering data is presented which applies to spaces with a high number of dimension ($N_{_{D}}>3$). The data set is first reduced to a smaller set of partitions (multi-dimensional bins). Multiple clustering…

数据分析、统计与概率 · 物理学 2017-10-16 Kevin McIlhany , Stephen Wiggins

Clustering is a widely used technique in data mining applications for discovering patterns in underlying data. Most traditional clustering algorithms are limited to handling datasets that contain either numeric or categorical attributes.…

人工智能 · 计算机科学 2007-05-23 Zengyou He , Xiaofei Xu , Shengchun Deng