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Mean shift is a simple interactive procedure that gradually shifts data points towards the mode which denotes the highest density of data points in the region. Mean shift algorithms have been effectively used for data denoising, mode…

机器学习 · 计算机科学 2021-05-11 Saptarshi Chakraborty , Debolina Paul , Swagatam Das

A natural way to characterize the cluster structure of a dataset is by finding regions containing a high density of data. This can be done in a nonparametric way with a kernel density estimate, whose modes and hence clusters can be found…

机器学习 · 计算机科学 2015-03-03 Miguel Á. Carreira-Perpiñán

Log-density gradient estimation is a fundamental statistical problem and possesses various practical applications such as clustering and measuring non-Gaussianity. A naive two-step approach of first estimating the density and then taking…

机器学习 · 统计学 2015-08-04 Ikko Yamane , Hiroaki Sasaki , Masashi Sugiyama

In this paper we target the class of modal clustering methods where clusters are defined in terms of the local modes of the probability density function which generates the data. The most well-known modal clustering method is the k-means…

机器学习 · 计算机科学 2022-03-04 Gaël Beck , Tarn Duong , Mustapha Lebbah , Hanane Azzag , Christophe Cérin

Modes and ridges of the probability density function behind observed data are useful geometric features. Mode-seeking clustering assigns cluster labels by associating data samples with the nearest modes, and estimation of density ridges…

机器学习 · 统计学 2018-04-03 Hiroaki Sasaki , Takafumi Kanamori , Aapo Hyvärinen , Gang Niu , Masashi Sugiyama

We explore the performance of several automatic bandwidth selectors, originally designed for density gradient estimation, as data-based procedures for nonparametric, modal clustering. The key tool to obtain a clustering from density…

机器学习 · 统计学 2013-10-30 José E. Chacón , Pablo Monfort

The mean shift algorithm is a popular way to find modes of some probability density functions taking a specific kernel-based shape, used for clustering or visual tracking. Since its introduction, it underwent several practical improvements…

机器学习 · 计算机科学 2020-01-08 Sébastien Razakarivony , Axel Barrau

Mode-based clustering methods define clusters to be the basins of attraction of the modes of a density estimate. The most common version is mean shift clus- tering which uses a gradient ascent algorithm to find the basins. Rodriguez and…

统计方法学 · 统计学 2018-05-14 Isabella Verdinelli , Larry Wasserman

A novel nonparametric clustering algorithm is proposed using the interpoint distances between the members of the data to reveal the inherent clustering structure existing in the given set of data, where we apply the classical nonparametric…

统计方法学 · 统计学 2024-09-02 Soumita Modak

We present a stochastic version of the mean-shift clustering algorithm. In this stochastic version a randomly chosen sequence of data points move according to partial gradient ascent steps of the objective function. Theoretical results…

机器学习 · 计算机科学 2025-11-13 Itshak Lapidot , Yann Sepulcre , Tom Trigano

Mode clustering is a nonparametric method for clustering that defines clusters using the basins of attraction of a density estimator's modes. We provide several enhancements to mode clustering: (i) a soft variant of cluster assignment, (ii)…

统计方法学 · 统计学 2015-12-23 Yen-Chi Chen , Christopher R. Genovese , Larry Wasserman

A new clustering accuracy measure is proposed to determine the unknown number of clusters and to assess the quality of clustering of a data set given in any dimensional space. Our validity index applies the classical nonparametric…

统计方法学 · 统计学 2022-02-15 Soumita Modak

Clustering algorithms are one of the main analytical methods to detect patterns in unlabeled data. Existing clustering methods typically treat samples in a dataset as points in a metric space and compute distances to group together similar…

机器学习 · 计算机科学 2021-10-12 Tarek Naous , Srinjay Sarkar , Abubakar Abid , James Zou

The nonparametric formulation of density-based clustering, known as modal clustering, draws a correspondence between groups and the attraction domains of the modes of the density function underlying the data. Its probabilistic foundation…

统计方法学 · 统计学 2020-10-27 Federico Ferraccioli , Giovanna Menardi

Density-based clustering relies on the idea of linking groups to some specific features of the probability distribution underlying the data. The reference to a true, yet unknown, population structure allows to frame the clustering problem…

统计方法学 · 统计学 2021-02-01 Alessandro Casa , José E. Chacón , Giovanna Menardi

In this paper, we propose a method for density-based clustering in high-dimensional spaces that combines Locality-Sensitive Hashing (LSH) with the Quick Shift algorithm. The Quick Shift algorithm, known for its hierarchical clustering…

机器学习 · 计算机科学 2025-12-01 Sajjad Hashemian

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

We propose the DPSM method, a density-based node clustering approach that automatically determines the number of clusters and can be applied in both data space and graph space. Unlike traditional density-based clustering methods, which…

机器学习 · 计算机科学 2024-11-05 Feiping Nie , Yitao Song , Jingjing Xue , Rong Wang , Xuelong Li

The purpose of this paper is to improve the traditional K-means algorithm. In the traditional K mean clustering algorithm, the initial clustering centers are generated randomly in the data set. It is easy to fall into the local minimum…

机器学习 · 计算机科学 2018-10-11 Su Chang , Xu Zhenzong , Gao Xuan

The non-stationary nature of data streams strongly challenges traditional machine learning techniques. Although some solutions have been proposed to extend traditional machine learning techniques for handling data streams, these approaches…

机器学习 · 计算机科学 2021-06-23 Xuyang Yan , Abdollah Homaifar , Mrinmoy Sarkar , Abenezer Girma , Edward Tunstel
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