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The literature on cluster-randomized trials typically allows for interference within but not across clusters. This may be implausible when units are irregularly distributed across space without well-separated communities, as clusters in…

统计方法学 · 统计学 2025-10-29 Michael P. Leung

Algorithms for clustering points in metric spaces is a long-studied area of research. Clustering has seen a multitude of work both theoretically, in understanding the approximation guarantees possible for many objective functions such as…

数据结构与算法 · 计算机科学 2019-05-27 Maria-Florina Balcan , Travis Dick , Colin White

Ensuring fairness is essential for every education system. Machine learning is increasingly supporting the education system and educational data science (EDS) domain, from decision support to educational activities and learning analytics.…

机器学习 · 计算机科学 2023-05-22 Tai Le Quy , Gunnar Friege , Eirini Ntoutsi

A commonly used characteristic of statistical dependence of adjacency relations in real networks, the clustering coefficient, evaluates chances that two neighbours of a given vertex are adjacent. An extension is obtained by considering…

应用统计 · 统计学 2013-04-29 Mindaugas Bloznelis , Valentas Kurauskas

Cluster analysis has attracted more and more attention in the field of machine learning and data mining. Numerous clustering algorithms have been proposed and are being developed due to diverse theories and various requirements of emerging…

机器学习 · 计算机科学 2016-01-18 Jian Yu , Zongben Xu

Clustering is one of the main tasks in exploratory data analysis and descriptive statistics where the main objective is partitioning observations in groups. Clustering has a broad range of application in varied domains like climate,…

数据库 · 计算机科学 2012-03-20 Saptarsi Goswami , Amlan Chakrabarti

Clustering is a fundamental task in unsupervised learning. The focus of this paper is the Correlation Clustering functional which combines positive and negative affinities between the data points. The contribution of this paper is two fold:…

计算机视觉与模式识别 · 计算机科学 2011-12-14 Shai Bagon , Meirav Galun

This paper presents a neural network-based end-to-end clustering framework. We design a novel strategy to utilize the contrastive criteria for pushing data-forming clusters directly from raw data, in addition to learning a feature embedding…

机器学习 · 计算机科学 2016-04-27 Yen-Chang Hsu , Zsolt Kira

Clustering consists of a popular set of techniques used to separate data into interesting groups for further analysis. Many data sources on which clustering is performed are well-known to contain random and systematic measurement errors.…

机器学习 · 统计学 2020-05-26 Paulina Pankowska , Daniel L. Oberski

The class of random-cluster models is a unification of a variety of stochastic processes of significance for probability and statistical physics, including percolation, Ising, and Potts models; in addition, their study has impact on the…

概率论 · 数学 2007-05-23 Geoffrey Grimmett

To cluster data is to separate samples into distinctive groups that should ideally have some cohesive properties. Today, numerous clustering algorithms exist, and their differences lie essentially in what can be perceived as ``cohesive…

机器学习 · 统计学 2025-05-08 Louis Ohl , Pierre-Alexandre Mattei , Frédéric Precioso

Clustering samples according to an effective metric and/or vector space representation is a challenging unsupervised learning task with a wide spectrum of applications. Among several clustering algorithms, k-means and its kernelized version…

分布式、并行与集群计算 · 计算机科学 2017-10-10 Marco Jacopo Ferrarotti , Sergio Decherchi , Walter Rocchia

Clustering algorithms rely on complex optimisation processes that may be difficult to comprehend, especially for individuals who lack technical expertise. While many explainable artificial intelligence techniques exist for supervised…

机器学习 · 计算机科学 2024-09-20 Aurora Spagnol , Kacper Sokol , Pietro Barbiero , Marc Langheinrich , Martin Gjoreski

We study in this paper the problem of jointly clustering and learning representations. As several previous studies have shown, learning representations that are both faithful to the data to be clustered and adapted to the clustering…

机器学习 · 计算机科学 2018-12-13 Maziar Moradi Fard , Thibaut Thonet , Eric Gaussier

Clustering is widely studied in statistics and machine learning, with applications in a variety of fields. As opposed to classical algorithms which return a single clustering solution, Bayesian nonparametric models provide a posterior over…

统计方法学 · 统计学 2019-02-11 Sara Wade , Zoubin Ghahramani

In this paper, a novel method to perform model-based clustering of time series is proposed. The procedure relies on two iterative steps: (i) K global forecasting models are fitted via pooling by considering the series pertaining to each…

In the last years many studies examined the consistency of students' answers in a variety of contexts. Some of these papers tried to develop more detailed models of the consistency of students' reasoning, or to subdivide a sample of…

物理教育 · 物理学 2017-08-17 Onofrio Rosario Battaglia , Benedetto Di Paola , Claudio Fazio

Data-based classification is fundamental to most branches of science. While recent years have brought enormous progress in various areas of statistical computing and clustering, some general challenges in clustering remain: model selection,…

人工智能 · 计算机科学 2007-06-13 Jens Oehlschlägel

Clustering problems are fundamental to unsupervised learning. There is an increased emphasis on fairness in machine learning and AI; one representative notion of fairness is that no single demographic group should be over-represented among…

数据结构与算法 · 计算机科学 2024-05-14 David G. Harris , Thomas Pensyl , Aravind Srinivasan , Khoa Trinh

Heterogeneity has been a hot topic in recent educational literature. Several calls have been voiced to adopt methods that capture different patterns or subgroups within students behavior or functioning. Assuming that there is an average…

统计方法学 · 统计学 2023-06-13 Luca Scrucca , Mohammed Saqr , Sonsoles López-Pernas , Keefe Murphy