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A mixture of shifted asymmetric Laplace distributions is introduced and used for clustering and classification. A variant of the EM algorithm is developed for parameter estimation by exploiting the relationship with the general inverse…

统计方法学 · 统计学 2017-10-09 Brian C. Franczak , Ryan P. Browne , Paul D. McNicholas

In this paper a variant of the classical hierarchical cluster analysis is reported. This agglomerative (bottom-up) cluster technique is referred to as the Adaptive Mean-Linkage Algorithm. It can be interpreted as a linkage algorithm where…

统计方法学 · 统计学 2015-02-10 H. M. de Oliveira

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 derive and analyze a generic, recursive algorithm for estimating all splits in a finite cluster tree as well as the corresponding clusters. We further investigate statistical properties of this generic clustering algorithm when it…

机器学习 · 统计学 2021-11-02 Ingo Steinwart , Bharath K. Sriperumbudur , Philipp Thomann

Clustering, or grouping, dataset elements based on similarity can be used not only to classify a dataset into a few categories, but also to approximate it by a relatively large number of representative elements. In the latter scenario,…

机器学习 · 计算机科学 2019-09-13 Tim Jaschek , Marko Bucyk , Jaspreet S. Oberoi

Clustering algorithms start with a fixed divergence, which captures the possibly asymmetric distance between a sample and a centroid. In the mixture model setting, the sample distribution plays the same role. When all attributes have the…

机器学习 · 计算机科学 2017-01-10 Mehmet Emin Basbug , Barbara Engelhardt

It is often of interest to perform clustering on longitudinal data, yet it is difficult to formulate an intuitive model for which estimation is computationally feasible. We propose a model-based clustering method for clustering objects that…

统计方法学 · 统计学 2020-05-19 Daniel K. Sewell , Yuguo Chen , William Bernhard , Tracy Sulkin

In this study, we address the problem of clustering string data in an unsupervised manner by developing a theory of a mixture model and an EM algorithm for string data based on probability theory on a topological monoid of strings developed…

统计理论 · 数学 2015-10-08 Hitoshi Koyano , Morihiro Hayashida , Tatsuya Akutsu

A novel and intuitive nearest neighbours based clustering algorithm is introduced, in which a cluster is defined in terms of an equilibrium condition which balances its size and cohesiveness. The formulation of the equilibrium condition…

机器学习 · 计算机科学 2025-03-31 David P. Hofmeyr

The clusters of a distribution are often defined by the connected components of a density level set. However, this definition depends on the user-specified level. We address this issue by proposing a simple, generic algorithm, which uses an…

统计方法学 · 统计学 2015-10-29 Ingo Steinwart

The Expectation-Maximization (EM) algorithm is an iterative method to maximize the log-likelihood function for parameter estimation. Previous works on the convergence analysis of the EM algorithm have established results on the asymptotic…

统计理论 · 数学 2017-05-31 Chong Wu , Can Yang , Hongyu Zhao , Ji Zhu

Problems of probabilistic inference and decision making under uncertainty commonly involve continuous random variables. Often these are discretized to a few points, to simplify assessments and computations. An alternative approximation is…

人工智能 · 计算机科学 2013-03-08 William B. Poland , Ross D. Shachter

In this paper a novel possibilistic c-means clustering algorithm, called Adaptive Possibilistic c-means, is presented. Its main feature is that {\it all} its parameters, after their initialization, are properly adapted during its execution.…

计算机视觉与模式识别 · 计算机科学 2015-10-16 Spyridoula D. Xenaki , Konstantinos D. Koutroumbas , Athanasios A. Rontogiannis

Clustering is a widely used technique in data mining applications for discovering patterns in underlying data. Most traditional clustering algorithms are limited to handling datasets that contain either numeric or categorical attributes.…

人工智能 · 计算机科学 2007-05-23 Zengyou He , Xiaofei Xu , Shengchun Deng

Until recently obtaining data on populations of networks was typically rare. However, with the advancement of automatic monitoring devices and the growing social and scientific interest in networks, such data has become more widely…

统计方法学 · 统计学 2020-01-22 Mirko Signorelli , Ernst Wit

An agglomerative clustering of random variables is proposed, where clusters of random variables sharing the maximum amount of multivariate mutual information are merged successively to form larger clusters. Compared to the previous…

信息论 · 计算机科学 2017-02-27 Chung Chan , Ali Al-Bashabsheh , Qiaoqiao Zhou

This paper introduces a new clustering technique, called {\em dimensional clustering}, which clusters each data point by its latent {\em pointwise dimension}, which is a measure of the dimensionality of the data set local to that point.…

机器学习 · 统计学 2018-05-29 Shohei Hidaka , Neeraj Kashyap

Partially recorded data are frequently encountered in many applications and usually clustered by first removing incomplete cases or features with missing values, or by imputing missing values, followed by application of a clustering…

统计方法学 · 统计学 2021-10-20 Emily M. Goren , Ranjan Maitra

Infinite mixture models are commonly used for clustering. One can sample from the posterior of mixture assignments by Monte Carlo methods or find its maximum a posteriori solution by optimization. However, in some problems the posterior is…

机器学习 · 计算机科学 2013-11-26 Işık Barış Fidaner , Ali Taylan Cemgil

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
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