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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…

Machine Learning · Computer Science 2021-10-12 Tarek Naous , Srinjay Sarkar , Abubakar Abid , James Zou

Community structure is of paramount importance for the understanding of complex networks. Consequently, there is a tremendous effort in order to develop efficient community detection algorithms. Unfortunately, the issue of a fair assessment…

Social and Information Networks · Computer Science 2017-11-28 Jebabli Malek , Cherifi Hocine , Cherifi Chantal , Hamouda Atef

Performance of clustering algorithms is evaluated with the help of accuracy metrics. There is a great diversity of clustering algorithms, which are key components of many data analysis and exploration systems. However, there exist only few…

Data Structures and Algorithms · Computer Science 2019-02-18 Artem Lutov , Mourad Khayati , Philippe Cudré-Mauroux

In this paper, we propose a new measure for detecting overlap in multivariate Gaussian clusters. The aim of online learning from data streams is to create clustering, classification, or regression models that can adapt over time based on…

Machine Learning · Computer Science 2025-08-22 Miha Ožbot , Igor Škrjanc

Clustering with outliers is one of the most fundamental problems in Computer Science. Given a set $X$ of $n$ points and two integers $k$ and $m$, the clustering with outliers aims to exclude $m$ points from $X$ and partition the remaining…

Data Structures and Algorithms · Computer Science 2023-02-21 Akanksha Agrawal , Tanmay Inamdar , Saket Saurabh , Jie Xue

Data clustering is the process of identifying natural groupings or clusters within multidimensional data based on some similarity measure. Clustering is a fundamental process in many different disciplines. Hence, researchers from different…

Machine Learning · Computer Science 2014-08-26 Sibei Yang , Liangde Tao , Bingchen Gong

We study the classic $k$-means/median clustering, which are fundamental problems in unsupervised learning, in the setting where data are partitioned across multiple sites, and where we are allowed to discard a small portion of the data by…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-12 Jiecao Chen , Erfan Sadeqi Azer , Qin Zhang

Outlier detection and cluster number estimation is an important issue for clustering real data. This paper focuses on spectral clustering, a time-tested clustering method, and reveals its important properties related to outliers. The…

Computer Vision and Pattern Recognition · Computer Science 2017-03-06 Takuro Ina , Atsushi Hashimoto , Masaaki Iiyama , Hidekazu Kasahara , Mikihiko Mori , Michihiko Minoh

Typically clustering algorithms provide clustering solutions with prespecified number of clusters. The lack of a priori knowledge on the true number of underlying clusters in the dataset makes it important to have a metric to compare the…

Machine Learning · Computer Science 2018-11-20 Amber Srivastava , Mayank Baranwal , Srinivasa Salapaka

Quality assessments of models in unsupervised learning and clustering verification in particular have been a long-standing problem in the machine learning research. The lack of robust and universally applicable cluster validity scores often…

Machine Learning · Statistics 2018-03-30 Luzie Helfmann , Johannes von Lindheim , Mattes Mollenhauer , Ralf Banisch

We study clustering on graphs with multiple edge types. Our main motivation is that similarities between objects can be measured in many different metrics. For instance similarity between two papers can be based on common authors, where…

Social and Information Networks · Computer Science 2011-09-09 Matthew Rocklin , Ali Pinar

Measuring similarity between two objects is the core operation in existing clustering algorithms in grouping similar objects into clusters. This paper introduces a new similarity measure called point-set kernel which computes the similarity…

Machine Learning · Computer Science 2022-01-07 Kai Ming Ting , Jonathan R. Wells , Ye Zhu

The goal of co-clustering is to simultaneously identify a clustering of rows as well as columns of a two dimensional data matrix. A number of co-clustering techniques have been proposed including information-theoretic co-clustering and the…

Machine Learning · Computer Science 2020-04-27 Joyce Jiyoung Whang , Inderjit S. Dhillon

Determining the number of clusters is a fundamental issue in data clustering. Several algorithms have been proposed, including centroid-based algorithms using the Euclidean distance and model-based algorithms using a mixture of probability…

Machine Learning · Computer Science 2024-07-30 Ryosuke Motegi , Yoichi Seki

We introduce a novel criterion in clustering that seeks clusters with limited range of values associated with each cluster's elements. In clustering or classification the objective is to partition a set of objects into subsets, called…

Data Structures and Algorithms · Computer Science 2018-05-15 Dorit S. Hochbaum

The goal of clustering is to group similar objects into meaningful partitions. This process is well understood when an explicit similarity measure between the objects is given. However, far less is known when this information is not readily…

Machine Learning · Computer Science 2020-10-12 Michaël Perrot , Pascal Mattia Esser , Debarghya Ghoshdastidar

We consider the problem of clustering a set of high-dimensional data points into sets of low-dimensional linear subspaces. The number of subspaces, their dimensions, and their orientations are unknown. We propose a simple and low-complexity…

Information Theory · Computer Science 2013-03-18 Reinhard Heckel , Helmut Bölcskei

A network has a non-overlapping community structure if the nodes of the network can be partitioned into disjoint sets such that each node in a set is densely connected to other nodes inside the set and sparsely connected to the nodes out-…

Social and Information Networks · Computer Science 2016-07-19 Talasila Sai Deepak , Hindol Adhya , Shyamal Kejriwal , Bhanuteja Gullapalli , Saswata Shannigrahi

Clustering is a central approach for unsupervised learning. After clustering is applied, the most fundamental analysis is to quantitatively compare clusterings. Such comparisons are crucial for the evaluation of clustering methods as well…

Machine Learning · Statistics 2017-10-03 Alexander J Gates , Yong-Yeol Ahn

Clustering has many important applications in computer science, but real-world datasets often contain outliers. Moreover, the presence of outliers can make the clustering problems to be much more challenging. To reduce the complexities,…

Data Structures and Algorithms · Computer Science 2020-05-04 Hu Ding , Jiawei Huang , Haikuo Yu