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In many applications, data cluster. Failing to take the cluster structure into consideration generally leads to underestimated variances of point estimators and inflated type I errors in hypothesis tests. Many circumstance-dependent…

统计方法学 · 统计学 2025-07-21 Jiahua Chen , Pengfei Li , Yukun Liu , James V. Zidek

In several environmental applications data are functions of time, essentially con- tinuous, observed and recorded discretely, and spatially correlated. Most of the methods for analyzing such data are extensions of spatial statistical tools…

统计方法学 · 统计学 2011-06-28 Elvira Romano , Antonio Balzanella , Rosanna Verde

Correlation clustering is a widely used technique in unsupervised machine learning. Motivated by applications where individual privacy is a concern, we initiate the study of differentially private correlation clustering. We propose an…

机器学习 · 计算机科学 2021-02-18 Mark Bun , Marek Eliáš , Janardhan Kulkarni

The clustering of companies within a specific stock market index is studied by means of super-paramagnetic transitions of an appropriate q-state Potts model where the spins correspond to companies and the interactions are functions of the…

统计力学 · 物理学 2009-10-31 L. Kullmann , J. Kertesz , R. N. Mantegna

We study the problem of constructing coresets for clustering problems with time series data. This problem has gained importance across many fields including biology, medicine, and economics due to the proliferation of sensors facilitating…

机器学习 · 计算机科学 2021-10-29 Lingxiao Huang , K. Sudhir , Nisheeth K. Vishnoi

Clustering is a technique for the analysis of datasets obtained by empirical studies in several disciplines with a major application for biomedical research. Essentially, clustering algorithms are executed by machines aiming at finding…

定量方法 · 定量生物学 2024-09-30 Diego Ulisse Pizzagalli , Santiago Fernandez Gonzalez , Rolf Krause

In this paper, we propose a new fuzzy clustering algorithm based on the mode-seeking framework. Given a dataset in $\mathbb{R}^d$, we define regions of high density that we call cluster cores. We then consider a random walk on a…

机器学习 · 统计学 2016-06-23 Thomas Bonis , Steve Oudot

The increasing needs of clustering massive datasets and the high cost of running clustering algorithms poses difficult problems for users. In this context it is important to determine if a data set is clusterable, that is, it may be…

机器学习 · 计算机科学 2020-01-08 Dan Simovici , Kaixun Hua

In an age of increasingly large data sets, investigators in many different disciplines have turned to clustering as a tool for data analysis and exploration. Existing clustering methods, however, typically depend on several nontrivial…

定量方法 · 定量生物学 2009-11-11 Noam Slonim , Gurinder Singh Atwal , Gasper Tkacik , William Bialek

Objective: The main objective of this paper is to construct a distributed clustering algorithm based upon spatial data correlation among sensor nodes and perform data accuracy for each distributed cluster at their respective cluster head…

网络与互联网体系结构 · 计算机科学 2011-08-15 Jyotirmoy Karjee , H. S Jamadagni

Clustered standard errors and approximate randomization tests are popular inference methods that allow for dependence within observations. However, they require researchers to know the cluster structure ex ante. We propose a procedure to…

计量经济学 · 经济学 2022-01-14 Yong Cai

One of the most widely used techniques for data clustering is agglomerative clustering. Such algorithms have been long used across many different fields ranging from computational biology to social sciences to computer vision in part…

机器学习 · 计算机科学 2014-07-15 Maria-Florina Balcan , Yingyu Liang , Pramod Gupta

We present a new algorithm for clustering longitudinal data. Data of this type can be conceptualized as consisting of individuals and, for each such individual, observations of a time-dependent variable made at various times. Generically,…

机器学习 · 计算机科学 2026-03-17 Marie-Pierre Sylvestre , Laurence Boulanger

The literature on clustering for continuous data is rich and wide; differently, that one developed for categorical data is still limited. In some cases, the problem is made more difficult by the presence of noise variables/dimensions that…

统计方法学 · 统计学 2015-04-14 Monia Ranalli , Roberto Rocci

We propose a novel method for clustering data which is grounded in information-theoretic principles and requires no parametric assumptions. Previous attempts to use information theory to define clusters in an assumption-free way are based…

机器学习 · 计算机科学 2014-02-07 Greg Ver Steeg , Aram Galstyan , Fei Sha , Simon DeDeo

We aim to cluster financial assets in order to identify a small set of stocks to approximate the level of diversification of the whole universe of stocks. We develop a data-driven approach to clustering based on a correlation blockmodel in…

投资组合管理 · 定量金融 2021-08-16 Wenpin Tang , Xiao Xu , Xun Yu Zhou

Correlation clustering is perhaps the most natural formulation of clustering. Given $n$ objects and a pairwise similarity measure, the goal is to cluster the objects so that, to the best possible extent, similar objects are put in the same…

数据结构与算法 · 计算机科学 2013-12-19 Francesco Bonchi , David García-Soriano , Konstantin Kutzkov

Influence of surrounding matter on the properties of clusters is considered by an approach combining the methods of statistical and quantum mechanics. A cluster is treated as a bound N-particle system and surrounding matter as thermostat.…

统计力学 · 物理学 2015-06-25 V. I. Yukalov , E. P. Yukalova

In this paper, we propose a simple algorithm to cluster nonnegative data lying in disjoint subspaces. We analyze its performance in relation to a certain measure of correlation between said subspaces. We use our clustering algorithm to…

机器学习 · 统计学 2020-09-04 C. Strohmeier , D. Needell

We study the clustering task under anisotropic Gaussian Mixture Models where the covariance matrices from different clusters are unknown and are not necessarily the identical matrix. We characterize the dependence of signal-to-noise ratios…

统计理论 · 数学 2021-01-19 Xin Chen , Anderson Y. Zhang