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This paper introduces the correlation-of-divergency coefficient, c-delta, a custom statistical measure designed to quantify the similarity of internal divergence patterns between two groups of values. Unlike conventional correlation…

统计方法学 · 统计学 2026-03-10 Johan F. Hoorn

Regression learning is classic and fundamental for medical image analysis. It provides the continuous mapping for many critical applications, like the attribute estimation, object detection, segmentation and non-rigid registration. However,…

计算机视觉与模式识别 · 计算机科学 2022-07-04 Chaoyu Chen , Xin Yang , Ruobing Huang , Xindi Hu , Yankai Huang , Xiduo Lu , Xinrui Zhou , Mingyuan Luo , Yinyu Ye , Xue Shuang , Juzheng Miao , Yi Xiong , Dong Ni

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…

机器学习 · 统计学 2023-10-20 Dimitrios Saligkaras , Vasileios E. Papageorgiou

This paper proposes a novel, nonparametric, interpoint distance-based measure to investigate whether there exist any groups in a set of given data, and if so then, how many groups are prevailing in total. It is a cluster accuracy index…

统计方法学 · 统计学 2026-05-21 Soumita Modak

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…

机器学习 · 统计学 2017-10-03 Alexander J Gates , Yong-Yeol Ahn

In this work, the possibility of clustering correlated random variables was examined, both because of their mutual similarity and because of their similarity to the principal components. The k-means algorithm and spectral algorithms were…

机器学习 · 计算机科学 2019-09-10 Zenon Gniazdowski , Dawid Kaliszewski

Time series clustering is an unsupervised learning method for classifying time series data into groups with similar behavior. It is used in applications such as healthcare, finance, economics, energy, and climate science. Several time…

机器学习 · 统计学 2025-05-08 Chutiphan Charoensuk , Nathakhun Wiroonsri

Not a matter of serious contention, Pearson's correlation coefficient is still the most important statistical association measure. Restricted to just two variables, this measure sometimes doesn't live up to users' needs and expectations.…

数理金融 · 定量金融 2024-02-02 Reza Salimi , Kamran Pakizeh

Internal measures that are used to assess the quality of a clustering usually take into account intra-group and/or inter-group criteria. There are many papers in the literature that propose algorithms with provable approximation guarantees…

机器学习 · 计算机科学 2024-01-17 Eduardo S. Laber , Lucas Murtinho

Clustering is one of the most common unsupervised learning tasks in machine learning and data mining. Clustering algorithms have been used in a plethora of applications across several scientific fields. However, there has been limited…

机器学习 · 计算机科学 2017-02-09 Quang N. Tran , Ba-Ngu Vo , Dinh Phung , Ba-Tuong Vo

We study the problem of rank aggregation: given a set of ranked lists, we want to form a consensus ranking. Furthermore, we consider the case of extreme lists: i.e., only the rank of the best or worst elements are known. We impute missing…

机器学习 · 统计学 2016-12-05 Justin Bedo , Cheng Soon Ong

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…

机器学习 · 计算机科学 2014-08-26 Sibei Yang , Liangde Tao , Bingchen Gong

A main task in data analysis is to organize data points into coherent groups or clusters. The stochastic block model is a probabilistic model for the cluster structure. This model prescribes different probabilities for the presence of edges…

机器学习 · 计算机科学 2020-09-24 Alexander Jung

The clustering coefficient is a valuable tool for understanding the structure of complex networks. It is widely used to analyze social networks, biological networks, and other complex systems. While there is generally a single common…

物理与社会 · 物理学 2024-01-09 Alexander I Nesterov

One basic requirement of many studies is the necessity of classifying data. Clustering is a proposed method for summarizing networks. Clustering methods can be divided into two categories named model-based approaches and algorithmic…

机器学习 · 计算机科学 2013-02-19 Raheleh Namayandeh , Farzad Didehvar , Zahra Shojaei

Causal inference analyses often use existing observational data, which in many cases has some clustering of individuals. In this paper we discuss propensity score weighting methods in a multilevel setting where within clusters individuals…

应用统计 · 统计学 2020-12-24 Youjin Lee , Trang Q. Nguyen , Elizabeth A. Stuart

The premise of independence among subjects in the same cluster/group often fails in practice, and models that rely on such untenable assumption can produce misleading results. To overcome this severe deficiency, we introduce a new…

统计方法学 · 统计学 2022-02-22 Jussiane Nader Gonçalves , Wagner Barreto-Souza , Hernando Ombao

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…

统计方法学 · 统计学 2025-02-04 Alessandra Ragni , Chiara Masci , Francesca Ieva , Anna Maria Paganoni

The Pearson product-moment correlation coefficient (rp) and the Spearman rank correlation coefficient (rs) are widely used in psychological research. We compare rp and rs on 3 criteria: variability, bias with respect to the population…

统计方法学 · 统计学 2024-08-29 J. C. F. de Winter , S. D. Gosling , J. Potter

In this chapter we review some examples, methods, and recent results involving comparison of clustering properties of point processes. Our approach is founded on some basic observations allowing us to consider void probabilities and moment…

概率论 · 数学 2014-05-23 Bartłomiej Błaszczyszyn , D. Yogeshwaran