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We derive a new Bayesian Information Criterion (BIC) by formulating the problem of estimating the number of clusters in an observed data set as maximization of the posterior probability of the candidate models. Given that some mild…

Statistics Theory · Mathematics 2018-08-28 Freweyni K. Teklehaymanot , Michael Muma , Abdelhak M. Zoubir

We introduce a novel statistical significance-based approach for clustering hierarchical data using semi-parametric linear mixed-effects models designed for responses with laws in the exponential family (e.g., Poisson and Bernoulli). Within…

Methodology · Statistics 2025-02-04 Alessandra Ragni , Chiara Masci , Francesca Ieva , Anna Maria Paganoni

Similarity scores in face recognition represent the proximity between pairs of images as computed by a matching algorithm. Given a large set of images and the proximities between all pairs, a similarity score space is defined. Cluster…

Computer Vision and Pattern Recognition · Computer Science 2016-05-20 Jason Grant , Patrick Flynn

High-dimensional clustering analysis is a challenging problem in statistics and machine learning, with broad applications such as the analysis of microarray data and RNA-seq data. In this paper, we propose a new clustering procedure called…

Methodology · Statistics 2022-10-31 Tianqi Liu , Yu Lu , Biqing Zhu , Hongyu Zhao

Citation averages, and Impact Factors (IFs) in particular, are sensitive to sample size. We apply the Central Limit Theorem (CLT) to IFs to understand their scale-dependent behavior. For a journal of $n$ randomly selected papers from a…

Physics and Society · Physics 2018-09-24 Manolis Antonoyiannakis

Hierarchical clustering is a stronger extension of one of today's most influential unsupervised learning methods: clustering. The goal of this method is to create a hierarchy of clusters, thus constructing cluster evolutionary history and…

Data Structures and Algorithms · Computer Science 2021-01-14 MohammadTaghi Hajiaghayi , Marina Knittel

Randomized clinical trials (RCTs) are ideal for estimating causal effects, because the distributions of background covariates are similar in expectation across treatment groups. When estimating causal effects using observational data,…

Methodology · Statistics 2019-02-27 Anthony D. Scotina , Roee Gutman

We introduce a cluster evaluation technique called Tree Index. Our Tree Index algorithm aims at describing the structural information of the clustering rather than the quantitative format of cluster-quality indexes (where the representation…

Machine Learning · Computer Science 2020-03-25 A. H. Beg , Md Zahidul Islam , Vladimir Estivill-Castro

Information criteria (IC) have been widely used in factor models to estimate an unknown number of latent factors. It has recently been shown that IC perform well in Common Correlated Effects (CCE) and related setups in selecting a set of…

Econometrics · Economics 2025-10-07 Jan Ditzen , Ovidijus Stauskas

In this paper, we propose a one-stage online clustering method called Contrastive Clustering (CC) which explicitly performs the instance- and cluster-level contrastive learning. To be specific, for a given dataset, the positive and negative…

Machine Learning · Computer Science 2020-09-22 Yunfan Li , Peng Hu , Zitao Liu , Dezhong Peng , Joey Tianyi Zhou , Xi Peng

Class imbalance, where certain classes have insufficient data, poses a critical challenge for robust classification, often biasing models toward majority classes. Distribution calibration offers a promising avenue to address this by…

Machine Learning · Computer Science 2025-10-23 Priyobrata Mondal , Faizanuddin Ansari , Swagatam Das

We submit newly developed citation impact indicators based not on arithmetic averages of citations but on percentile ranks. Citation distributions are-as a rule-highly skewed and should not be arithmetically averaged. With percentile ranks,…

Digital Libraries · Computer Science 2011-06-21 Loet Leydesdorff , Lutz Bornmann , Rüdiger Mutz , Tobias Opthof

AI-enabled precision medicine promises a transformational improvement in healthcare outcomes by enabling data-driven personalized diagnosis, prognosis, and treatment. However, the well-known "curse of dimensionality" and the clustered…

Machine Learning · Computer Science 2023-05-19 Amanda M. Buch , Conor Liston , Logan Grosenick

In this paper, we investigate the use of an unsupervised label clustering technique and demonstrate that it enables substantial improvements in visual relationship prediction accuracy on the Person in Context (PIC) dataset. We propose to…

Computer Vision and Pattern Recognition · Computer Science 2018-09-11 Hsuan-Kung Yang , An-Chieh Cheng , Kuan-Wei Ho , Tsu-Jui Fu , Chun-Yi Lee

This study introduces a general semiparametric clusterwise index distribution model to analyze how latent clusters affect the covariate-response relationships. By employing sufficient dimension reduction to account for the effects of…

Methodology · Statistics 2025-09-30 Jen-Chieh Teng , Chin-Tsang Chiang

This thesis aims to invent new approaches for making inferences with the k-means algorithm. k-means is an iterative clustering algorithm that randomly assigns k centroids, then assigns data points to the nearest centroid, and updates…

Machine Learning · Computer Science 2024-10-24 Alfred K. Adzika , Prudence Djagba

The highly nonlinear regime of gravitational clustering is characterized by the presence of scale-invariant form of many-body correlation functions. Useful insights can be obtained by investigating the consequences of a generic scaling {\em…

Astrophysics · Physics 2009-10-31 Dipak Munshi , Peter Coles , Adrian L. Melott

Novel class discovery (NCD) aims at learning a model that transfers the common knowledge from a class-disjoint labelled dataset to another unlabelled dataset and discovers new classes (clusters) within it. Many methods, as well as elaborate…

Computer Vision and Pattern Recognition · Computer Science 2023-03-24 Wenbin Li , Zhichen Fan , Jing Huo , Yang Gao

Clustering algorithms aim to organize data into groups or clusters based on the inherent patterns and similarities within the data. They play an important role in today's life, such as in marketing and e-commerce, healthcare, data…

Machine Learning · Computer Science 2024-01-17 Hui Yin , Amir Aryani , Stephen Petrie , Aishwarya Nambissan , Aland Astudillo , Shengyuan Cao

Class distribution skews in imbalanced datasets may lead to models with prediction bias towards majority classes, making fair assessment of classifiers a challenging task. Metrics such as Balanced Accuracy are commonly used to evaluate a…