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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

For prediction models developed on clustered data that do not account for cluster heterogeneity in model parameterization, it is crucial to use cluster-based validation to assess model generalizability on unseen clusters. This paper…

Methodology · Statistics 2025-06-23 Jiaxing Qiu , Douglas E. Lake , Pavel Chernyavskiy , Teague R. Henry

Classification problems are essential statistical tasks that form the foundation of decision-making across various fields, including patient prognosis and treatment strategies for critical conditions. Consequently, evaluating the…

Methodology · Statistics 2025-03-11 Jun Tamura , Yuki Itaya , Kenichi Hayashi , Kouji Yamamoto

The clustering of categorical data is a common and important task in computer science, offering profound implications across a spectrum of applications. Unlike purely numerical data, categorical data often lack inherent ordering as in…

Machine Learning · Computer Science 2025-01-28 Tai Dinh , Wong Hauchi , Philippe Fournier-Viger , Daniil Lisik , Minh-Quyet Ha , Hieu-Chi Dam , Van-Nam Huynh

Unsupervised machine learning, and in particular data clustering, is a powerful approach for the analysis of datasets and identification of characteristic features occurring throughout a dataset. It is gaining popularity across scientific…

Mesoscale and Nanoscale Physics · Physics 2021-03-23 Maria El Abbassi , Jan Overbeck , Oliver Braun , Michel Calame , Herre S. J. van der Zant , Mickael L. Perrin

For multivariate data, tandem clustering is a well-known technique aiming to improve cluster identification through initial dimension reduction. Nevertheless, the usual approach using principal component analysis (PCA) has been criticized…

Methodology · Statistics 2024-03-26 Andreas Alfons , Aurore Archimbaud , Klaus Nordhausen , Anne Ruiz-Gazen

This paper presents and analyzes an approach to cluster-based inference for dependent data. The primary setting considered here is with spatially indexed data in which the dependence structure of observed random variables is characterized…

Statistics Theory · Mathematics 2022-11-16 Jianfei Cao , Christian Hansen , Damian Kozbur , Lucciano Villacorta

Spatial clustering has been widely used for spatial data mining and knowledge discovery. An ideal multivariate spatial clustering should consider both spatial contiguity and aspatial attributes. Existing spatial clustering approaches may…

Machine Learning · Computer Science 2022-04-01 Yuhao Kang , Kunlin Wu , Song Gao , Ignavier Ng , Jinmeng Rao , Shan Ye , Fan Zhang , Teng Fei

In this paper, we comment on the recent comparison in Azzalini et al. (2014) of two different distributions proposed in the literature for the modelling of data that have asymmetric and possibly long-tailed clusters. They are referred to as…

Methodology · Statistics 2014-04-08 Geoffrey J. McLachlan , Sharon X. Lee

The misclassification error distance and the adjusted Rand index are two of the most commonly used criteria to evaluate the performance of clustering algorithms. This paper provides an in-depth comparison of the two criteria, aimed to…

Machine Learning · Statistics 2019-07-29 José E. Chacón

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

The most widely used internal measure for clustering evaluation is the silhouette coefficient, whose naive computation requires a quadratic number of distance calculations, which is clearly unfeasible for massive datasets. Surprisingly,…

Data Structures and Algorithms · Computer Science 2021-01-21 Federico Altieri , Andrea Pietracaprina , Geppino Pucci , Fabio Vandin

We introduce intra-class memorability, where certain images within the same class are more memorable than others despite shared category characteristics. To investigate what features make one object instance more memorable than others, we…

Computer Vision and Pattern Recognition · Computer Science 2025-09-29 Jie Jing , Yongjian Huang , Serena J. -W. Wang , Shuangpeng Han , Lucia Schiatti , Yen-Ling Kuo , Qing Lin , Mengmi Zhang

We present a clustering method and provide a theoretical analysis and an explanation to a phenomenon encountered in the applied statistical literature since the 1990's. This phenomenon is the natural adaptability of the order when using a…

Statistics Theory · Mathematics 2022-03-23 Thierry Dumont

Ordered categorical data frequently arise in the analysis of biomedical, agricultural, and social sciences data. The logistic regression model is attractive in analyzing ordered categorical data because of its use in interpretation of a…

Applications · Statistics 2016-01-08 Ali Reza Fotouhi , Theresa Mulder

Clinical notes contain unstructured text provided by clinicians during patient encounters. These notes are usually accompanied by a sequence of diagnostic codes following the International Classification of Diseases (ICD). Correctly…

Machine Learning · Computer Science 2025-10-17 Mohammad Mansoori , Amira Soliman , Farzaneh Etminani

Unsupervised clustering, also known as natural clustering, stands for the classification of data according to their similarities. Here we study this problem from the perspective of complex networks. Mapping the description of data…

Data Analysis, Statistics and Probability · Physics 2012-08-22 Clara Granell , Sergio Gomez , Alex Arenas

Spectral clustering is popular among practitioners and theoreticians alike. While performance guarantees for spectral clustering are well understood, recent studies have focused on enforcing ``fairness'' in clusters, requiring them to be…

Machine Learning · Computer Science 2022-09-27 Shubham Gupta , Ambedkar Dukkipati

In this study, we present a novel ranking model based on learning neighborhood relationships embedded in the index space. Given a query point, conventional approximate nearest neighbor search calculates the distances to the cluster…

Information Retrieval · Computer Science 2019-05-01 Chih-Yi Chiu , Amorntip Prayoonwong , Yin-Chih Liao

Essential protein plays a crucial role in the process of cell life. The identification of essential proteins can not only promote the development of drug target technology, but also contribute to the mechanism of biological evolution. There…

Molecular Networks · Quantitative Biology 2020-05-20 Pengli Lu , JingJuan Yu
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