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We propose a new clustering method based on optimal transportation. We solve optimal transportation with variational principles, and investigate the use of power diagrams as transportation plans for aggregating arbitrary domains into a…

计算机视觉与模式识别 · 计算机科学 2018-07-27 Liang Mi , Wen Zhang , Xianfeng Gu , Yalin Wang

In data mining, it is usually to describe a set of individuals using some summaries (means, standard deviations, histograms, confidence intervals) that generalize individual descriptions into a typology description. In this case, data can…

统计方法学 · 统计学 2016-05-03 Antonio Irpino , Rosanna Verde

In model-based clustering and classification, the cluster-weighted model constitutes a convenient approach when the random vector of interest constitutes a response variable Y and a set p of explanatory variables X. However, its…

统计方法学 · 统计学 2013-07-23 Sanjeena Subedi , Antonio Punzo , Salvatore Ingrassia , Paul D. McNicholas

Various methods have been developed to combine inference across multiple sets of results for unsupervised clustering, within the ensemble clustering literature. The approach of reporting results from one `best' model out of several…

This paper investigates two fundamental descriptors of data, i.e., density distribution versus mass distribution, in the context of clustering. Density distribution has been the de facto descriptor of data distribution since the…

机器学习 · 统计学 2026-01-26 Kai Ming Ting , Ye Zhu , Hang Zhang , Tianrun Liang

Possibilistic fuzzy c-means (PFCM) algorithm is a reliable algorithm has been proposed to deal the weakness of two popular algorithms for clustering, fuzzy c-means (FCM) and possibilistic c-means (PCM). PFCM algorithm deals with the…

Clustering analysis is one of the most widely used statistical tools in many emerging areas such as microarray data analysis. For microarray and other high-dimensional data, the presence of many noise variables may mask underlying…

机器学习 · 统计学 2008-03-26 Benhuai Xie , Wei Pan , Xiaotong Shen

Fuzzy clustering is a famous unsupervised learning method used to collecting similar data elements within cluster according to some similarity measurement. But, clustering algorithms suffer from some drawbacks. Among the main weakness…

神经与进化计算 · 计算机科学 2018-02-27 Waleed Alomoush , Ayat Alrosan

Many applications in machine learning involve data represented as probability distributions. The emergence of such data requires radically novel techniques to design tractable gradient flows on probability distributions over this type of…

机器学习 · 计算机科学 2025-06-10 Clément Bonet , Christophe Vauthier , Anna Korba

We develop an effective nonhierarchical data clustering method using an analogy to the dynamic coarse graining of a stochastic system. Analyzing the eigensystem of an interitem transition matrix identifies fuzzy clusters corresponding to…

数据分析、统计与概率 · 物理学 2009-11-10 Daniel Korenblum , David Shalloway

Many real-world clustering problems are plagued by incomplete data characterized by missing or absent features for some or all of the data instances. Traditional clustering methods cannot be directly applied to such data without…

机器学习 · 计算机科学 2018-07-10 Shounak Datta , Supritam Bhattacharjee , Swagatam Das

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…

统计方法学 · 统计学 2022-10-31 Tianqi Liu , Yu Lu , Biqing Zhu , Hongyu Zhao

The Bayesian approach to clustering is often appreciated for its ability to provide uncertainty in the partition structure. However, summarizing the posterior distribution over the clustering structure can be challenging, due the discrete,…

统计计算 · 统计学 2026-01-26 Cecilia Balocchi , Sara Wade

In this paper, we define a distance for the HSL colour system. Next, the proposed distance is used for a fuzzy colour clustering algorithm construction. The presented algorithm is related to the well-known fuzzy c-means algorithm. Finally,…

计算机视觉与模式识别 · 计算机科学 2015-05-22 Vasile Patrascu

In this paper we presented a stochastic version mean-shift clustering algorithm. In the stochastic version the data points "climb" to the modes of the distribution collectively, while in the deterministic mean-shift, each datum "climbs"…

机器学习 · 计算机科学 2023-12-27 Itshak Lapidot

When considering answering important questions with data, unsupervised data offers extensive insight opportunity and unique challenges. This study considers student survey data with a specific goal of clustering students into like groups…

计算机与社会 · 计算机科学 2018-12-14 Kathleen Campbell Garwood , Ph. D. , Arpit Arun Dhobale

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

In this paper, we describe an algorithm FARDiff (Fuzzy Adaptive Resonance Dif- fusion) which combines Diffusion Maps and Fuzzy Adaptive Resonance Theory to do clustering on high dimensional data. We describe some applications of this method…

神经与进化计算 · 计算机科学 2015-10-07 S. B. Damelin , Y. Gu , D. C. Wunsch , R. Xu

We propose a simple and efficient clustering method for high-dimensional data with a large number of clusters. Our algorithm achieves high-performance by evaluating distances of datapoints with a subset of the cluster centres. Our…

机器学习 · 计算机科学 2022-03-30 Georgios Exarchakis , Omar Oubari , Gregor Lenz

The increasing availability of granular and big data on various objects of interest has made it necessary to develop methods for condensing this information into a representative and intelligible map. Financial regulation is a field that…

机器学习 · 统计学 2025-07-08 Lorenz Riess , Mathias Beiglböck , Johannes Temme , Andreas Wolf , Julio Backhoff
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