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Mixture models extend the toolbox of clustering methods available to the data analyst. They allow for an explicit definition of the cluster shapes and structure within a probabilistic framework and exploit estimation and inference…

统计方法学 · 统计学 2025-09-15 Bettina Grün

Despite many advantages associated with the use of spherical particles, in practice, non-spherical particles are the main ingredient in sintering-based processing techniques, like selective-laser-sintering, where their shape and surface…

软凝聚态物质 · 物理学 2019-12-12 Amirmehdi Salehi , Gholamreza Pircheraghi

Clustering is a widely used technique with a long and rich history in a variety of areas. However, most existing algorithms do not scale well to large datasets, or are missing theoretical guarantees of convergence. This paper introduces a…

机器学习 · 统计学 2024-10-16 Yijia Zhou , Kyle A. Gallivan , Adrian Barbu

With the recent growth in data availability and complexity, and the associated outburst of elaborate modelling approaches, model selection tools have become a lifeline, providing objective criteria to deal with this increasingly challenging…

统计方法学 · 统计学 2020-10-08 Alessandro Casa , Luca Scrucca , Giovanna Menardi

One of the challenges of high granularity calorimeters, such as that to be built to cover the endcap region in the CMS Phase-2 Upgrade for HL-LHC, is that the large number of channels causes a surge in the computing load when clustering…

仪器与探测器 · 物理学 2020-01-29 Marco Rovere , Ziheng Chen , Antonio Di Pilato , Felice Pantaleo , Chris Seez

A general scheme for divisive hierarchical clustering algorithms is proposed. It is made of three main steps : first a splitting procedure for the subdivision of clusters into two subclusters, second a local evaluation of the bipartitions…

数据结构与算法 · 计算机科学 2018-09-07 Maurice Roux

Clustering functional data is a challenging task due to intrinsic infinite-dimensionality and the need for stable, data-adaptive partitioning. In this work, we propose a clustering framework based on Random Projections, which simultaneously…

统计方法学 · 统计学 2025-12-18 Matteo Mori , Laura Anderlucci

The two most extended density-based approaches to clustering are surely mixture model clustering and modal clustering. In the mixture model approach, the density is represented as a mixture and clusters are associated to the different…

机器学习 · 统计学 2016-09-16 José E. Chacón

Modeling of high-dimensional data is very important to categorize different classes. We develop a new mixture model called Multinomial cluster-weighted model (MCWM). We derive the identifiability of a general class of MCWM. We estimate the…

统计方法学 · 统计学 2022-08-25 Kehinde Olobatuyi , Oludare Ariyo

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 mixtures of Gaussian distributions is a fundamental and challenging problem that is ubiquitous in various high-dimensional data processing tasks. While state-of-the-art work on learning Gaussian mixture models has focused…

机器学习 · 计算机科学 2018-03-05 Dan Kushnir , Shirin Jalali , Iraj Saniee

A mixture of factor analyzers is a semi-parametric density estimator that generalizes the well-known mixtures of Gaussians model by allowing each Gaussian in the mixture to be represented in a different lower-dimensional manifold. This…

机器学习 · 统计学 2015-10-23 Heysem Kaya , Albert Ali Salah

This paper presents a new approach to non-parametric cluster analysis called Adaptive Weights Clustering (AWC). The idea is to identify the clustering structure by checking at different points and for different scales on departure from…

机器学习 · 统计学 2017-09-27 Kirill Efimov , Larisa Adamyan , Vladimir Spokoiny

Bipartite Correlation clustering is the problem of generating a set of disjoint bi-cliques on a set of nodes while minimizing the symmetric difference to a bipartite input graph. The number or size of the output clusters is not constrained…

数据结构与算法 · 计算机科学 2010-12-15 Nir Ailon , Noa Avigdor-Elgrabli , Edo Liberty

Data clustering has received a lot of attention and numerous methods, algorithms and software packages are available. Among these techniques, parametric finite-mixture models play a central role due to their interesting mathematical…

计算机视觉与模式识别 · 计算机科学 2017-01-31 Israel D. Gebru , Xavier Alameda-Pineda , Florence Forbes , Radu Horaud

Many clustering schemes are defined by optimizing an objective function defined on the partitions of the underlying set of a finite metric space. In this paper, we construct a framework for studying what happens when we instead impose…

机器学习 · 统计学 2010-12-01 Gunnar Carlsson , Facundo Memoli

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

In this paper, we consider the task of clustering a set of individual time series while modeling each cluster, that is, model-based time series clustering. The task requires a parametric model with sufficient flexibility to describe the…

机器学习 · 计算机科学 2023-02-23 Ryohei Umatani , Takashi Imai , Kaoru Kawamoto , Shutaro Kunimasa

Clustering is an essential technique for discovering patterns in data. The steady increase in amount and complexity of data over the years led to improvements and development of new clustering algorithms. However, algorithms that can…

机器学习 · 统计学 2021-03-03 Shu Wang , Jonathan G. Yabes , Chung-Chou H. Chang

In this paper we present a new dynamical systems algorithm for clustering in hyperspectral images. The main idea of the algorithm is that data points are \`pushed\' in the direction of increasing density and groups of pixels that end up in…

计算机视觉与模式识别 · 计算机科学 2022-07-22 William F. Basener , Alexey Castrodad , David Messinger , Jennifer Mahle , Paul Prue