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In this paper, we present a cluster algorithm for the simulation of hard spheres and related systems. In this algorithm, a copy of the configuration is rotated with respect to a randomly chosen pivot point. The two systems are then…

统计力学 · 物理学 2008-02-03 Christophe Dress , Werner Krauth

This paper deals with nonparametric estimation of conditional den-sities in mixture models in the case when additional covariates are available. The proposed approach consists of performing a prelim-inary clustering algorithm on the…

统计理论 · 数学 2015-02-09 Stéphane Auray , Nicolas Klutchnikoff , Laurent Rouvière

We have calculated the values of critical packing fractions for the mixtures of symmetric non-additive hard disks. An interesting feature of the model is the fact that the internal energy is zero and the phase transitions are entropically…

统计力学 · 物理学 2016-03-15 W. T. Góźdź , A. Ciach

Highly size-asymmetrical fluid mixtures arise in a variety of physical contexts, notably in suspensions of colloidal particles to which much smaller particles have been added in the form of polymers or nanoparticles. Conventional schemes…

软凝聚态物质 · 物理学 2011-01-14 Douglas J. Ashton , Jiwen Liu , Erik Luijten , Nigel B. Wilding

We study the equilibrium phase diagram of binary mixtures of hard spheres as well as of parallel hard cubes. A superior cluster algorithm allows us to establish and to access the demixed phase for both systems and to investigate the subtle…

统计力学 · 物理学 2009-10-30 Arnaud Buhot , Werner Krauth

Spectral clustering approaches have led to well-accepted algorithms for finding accurate clusters in a given dataset. However, their application to large-scale datasets has been hindered by computational complexity of eigenvalue…

机器学习 · 计算机科学 2016-03-17 Shahzad Bhatti , Carolyn Beck , Angelia Nedic

Clustering data objects into homogeneous groups is one of the most important tasks in data mining. Spectral clustering is arguably one of the most important algorithms for clustering, as it is appealing for its theoretical soundness and is…

机器学习 · 统计学 2024-03-12 Dylan Soemitro , Jeova Farias Sales Rocha Neto

We give an efficient algorithm for robustly clustering of a mixture of two arbitrary Gaussians, a central open problem in the theory of computationally efficient robust estimation, assuming only that the the means of the component Gaussians…

数据结构与算法 · 计算机科学 2020-06-02 He Jia , Santosh Vempala

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

In recent years, a better understanding of the Monte Carlo method has provided us with many new techniques in different areas of statistical physics. Of particular interest are so called cluster methods, which exploit the considerable…

统计力学 · 物理学 2007-05-23 Werner Krauth

Clustering is a fundamental task in data mining and machine learning, particularly for analyzing large-scale data. In this paper, we introduce Clust-Splitter, an efficient algorithm based on nonsmooth optimization, designed to solve the…

机器学习 · 计算机科学 2026-03-19 Jenni Lampainen , Kaisa Joki , Napsu Karmitsa , Marko M. Mäkelä

We present a detailed description of the generalized geometric cluster algorithm for the efficient simulation of continuum fluids. The connection with well-known cluster algorithms for lattice spin models is discussed, and an explicit full…

统计力学 · 物理学 2009-11-11 Jiwen Liu , Erik Luijten

We consider the problem of clustering data points in high dimensions, i.e. when the number of data points may be much smaller than the number of dimensions. Specifically, we consider a Gaussian mixture model (GMM) with non-spherical…

统计理论 · 数学 2014-06-10 Martin Azizyan , Aarti Singh , Larry Wasserman

We are concerned in clustering continuous data sets subject to non-ignorable missingness. We perform clustering with a specific semi-parametric mixture, under the assumption of conditional independence given the component. The mixture model…

统计方法学 · 统计学 2021-07-20 Marie Du Roy de Chaumaray , Matthieu Marbac

In this paper, we deal with the problem of curves clustering. We propose a nonparametric method which partitions the curves into clusters and discretizes the dimensions of the curve points into intervals. The cross-product of these…

机器学习 · 统计学 2014-07-03 Marc Boullé , Romain Guigourès , Fabrice Rossi

Typical fermion algorithms require the computation (or sampling) of the fermion determinant. We focus instead on cluster algorithms which do not involve the determinant and involve a more physically relevant sampling of the configuration…

高能物理 - 格点 · 物理学 2023-12-29 Emilie Huffman

We study the clustering problem for mixtures of bounded covariance distributions, under a fine-grained separation assumption. Specifically, given samples from a $k$-component mixture distribution $D = \sum_{i =1}^k w_i P_i$, where each $w_i…

机器学习 · 计算机科学 2023-12-20 Ilias Diakonikolas , Daniel M. Kane , Jasper C. H. Lee , Thanasis Pittas

A limitation of many clustering algorithms is the requirement to tune adjustable parameters for each application or even for each dataset. Some techniques require an \emph{a priori} estimate of the number of clusters while density-based…

统计方法学 · 统计学 2016-05-20 Jeremy F. Magland , Alex H. Barnett

In this work a robust clustering algorithm for stationary time series is proposed. The algorithm is based on the use of estimated spectral densities, which are considered as functional data, as the basic characteristic of stationary time…

We discuss a new Monte Carlo algorithm for the simulation of complex fluids. This algorithm employs geometric operations to identify clusters of particles that can be moved in a rejection-free way. It is demonstrated that this geometric…

统计力学 · 物理学 2015-06-25 Erik Luijten , Jiwen Liu
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