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Cluster analysis of biological samples using gene expression measurements is a common task which aids the discovery of heterogeneous biological sub-populations having distinct mRNA profiles. Several model-based clustering algorithms have…

Methodology · Statistics 2012-01-30 Alberto Cozzini , Ajay Jasra , Giovanni Montana

The integrated completed likelihood (ICL) criterion has proven to be a very popular approach in model-based clustering through automatically choosing the number of clusters in a mixture model. This approach effectively maximises the…

Computation · Statistics 2015-05-26 Marco Bertoletti , Nial Friel , Riccardo Rastelli

Cluster analysis requires many decisions: the clustering method and the implied reference model, the number of clusters and, often, several hyper-parameters and algorithms' tunings. In practice, one produces several partitions, and a final…

Machine Learning · Statistics 2023-08-14 Luca Coraggio , Pietro Coretto

There are many different relatedness measures, based for instance on citation relations or textual similarity, that can be used to cluster scientific publications. We propose a principled methodology for evaluating the accuracy of…

Digital Libraries · Computer Science 2019-08-15 Ludo Waltman , Kevin W. Boyack , Giovanni Colavizza , Nees Jan van Eck

People belong to multiple communities, words belong to multiple topics, and books cover multiple genres; overlapping clusters are commonplace. Many existing overlapping clustering methods model each person (or word, or book) as a…

Machine Learning · Statistics 2018-11-06 Xueyu Mao , Purnamrita Sarkar , Deepayan Chakrabarti

We recently proposed a new ensemble clustering algorithm for graphs (ECG) based on the concept of consensus clustering. We validated our approach by replicating a study comparing graph clustering algorithms over benchmark graphs, showing…

Machine Learning · Computer Science 2021-02-17 Valérie Poulin , François Théberge

Despite the ubiquity of kernel-based clustering, surprisingly few statistical guarantees exist beyond settings that consider strong structural assumptions on the data generation process. In this work, we take a step towards bridging this…

Machine Learning · Computer Science 2021-10-19 Leena Chennuru Vankadara , Sebastian Bordt , Ulrike von Luxburg , Debarghya Ghoshdastidar

Graph clustering is a fundamental problem that has been extensively studied both in theory and practice. The problem has been defined in several ways in literature and most of them have been proven to be NP-Hard. Due to their high practical…

Social and Information Networks · Computer Science 2012-03-27 Sumit Singh

Designing efficient, effective, and consistent metric clustering algorithms is a significant challenge attracting growing attention. Traditional approaches focus on the stability of cluster centers; unfortunately, this neglects the…

Data Structures and Algorithms · Computer Science 2025-12-23 Diptarka Chakraborty , Hendrik Fichtenberger , Bernhard Haeupler , Silvio Lattanzi , Ashkan Norouzi-Fard , Ola Svensson

We construct a method by which we can calculate the precision with which an algorithm identifies the shape of a cluster. We present our results for several well known clustering algorithms and suggest ways to improve performance for newer…

Computational Geometry · Computer Science 2017-07-27 Clark Alexander , Sofya Akhmametyeva

When scholars suspect units are dependent on each other within clusters but independent of each other across clusters, they employ cluster-robust standard errors (CRSEs). Nevertheless, what to cluster over is sometimes unknown. For…

Methodology · Statistics 2025-11-12 Kentaro Fukumoto

Image generative models are known to duplicate images from the training data as part of their outputs, which can lead to privacy concerns when used for medical image generation. We propose a calibrated per-sample metric for detecting…

Computer Vision and Pattern Recognition · Computer Science 2026-02-16 Yash Deo , Yan Jia , Toni Lassila , Victoria J Hodge , Alejandro F Frang , Chenghao Qian , Siyuan Kang , Ibrahim Habli

Clustering is an unsupervised machine learning methodology where unlabeled elements/objects are grouped together aiming to the construction of well-established clusters that their elements are classified according to their similarity. The…

Machine Learning · Statistics 2023-10-20 Dimitrios Saligkaras , Vasileios E. Papageorgiou

Designing categorical kernels is a major challenge for Gaussian process regression with continuous and categorical inputs. Despite previous studies, it is difficult to identify a preferred method, either because the evaluation metrics, the…

Machine Learning · Statistics 2025-10-03 Raphaël Carpintero Perez , Sébastien Da Veiga , Josselin Garnier

In this paper, we test whether two datasets share a common clustering structure. As a leading example, we focus on comparing clustering structures in two independent random samples from two mixtures of multivariate normal distributions.…

Statistics Theory · Mathematics 2022-11-21 Chao Gao , Zongming Ma

Several statistical approaches based on reproducing kernels have been proposed to detect abrupt changes arising in the full distribution of the observations and not only in the mean or variance. Some of these approaches enjoy good…

Statistics Theory · Mathematics 2017-10-13 Alain Celisse , Guillemette Marot , Morgane Pierre-Jean , Guillem Rigaill

Seeding then expanding is a commonly used scheme to discover overlapping communities in a network. Most seeding methods are either too complex to scale to large networks or too simple to select high-quality seeds, and the non-principled…

Social and Information Networks · Computer Science 2015-02-27 Changxing Shang , Shengzhong Feng , Zhongying Zhao , Jianping Fan

We developed a method for measuring the similarity between materials, focusing on specific physical properties. The obtained information can be utilized to understand the underlying mechanisms and to support the prediction of the physical…

Clustering is an unsupervised technique of Data Mining. It means grouping similar objects together and separating the dissimilar ones. Each object in the data set is assigned a class label in the clustering process using a distance measure.…

Information Retrieval · Computer Science 2011-10-13 Parul Agarwal , M. Afshar Alam , Ranjit Biswas

SpectralNet is a graph clustering method that uses neural network to find an embedding that separates the data. So far it was only used with $k$-nn graphs, which are usually constructed using a distance metric (e.g., Euclidean distance).…

Machine Learning · Computer Science 2023-02-28 Mashaan Alshammari , John Stavrakakis , Adel F. Ahmed , Masahiro Takatsuka