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A methodology is developed to identify clusters in a bulk phase which are topologically equivalent to certain reference clusters. The selected reference clusters are the Morse clusters with 13 or less atoms and the 13 atom clusters found in…

软凝聚态物质 · 物理学 2007-05-23 Stephen R. Williams

Physical systems are frequently modeled as sets of points in space, each representing the position of an atom, molecule, or mesoscale particle. As many properties of such systems depend on the underlying ordering of their constituent…

其他凝聚态物理 · 物理学 2015-11-18 Emanuel A. Lazar , Jian Han , David J. Srolovitz

We present an objective and automated procedure for detecting clusters of galaxies in imaging galaxy surveys. Our Voronoi Galaxy Cluster Finder (VGCF) uses galaxy positions and magnitudes to find clusters and determine their main features:…

天体物理学 · 物理学 2009-11-06 M. Ramella , W. Boschin , D. Fadda , M. Nonino

We propose an automated method for detecting galaxy clusters in imaging surveys based on the Voronoi tessellation technique. It appears very promising, expecially for its capability of detecting clusters indipendently from their shape.…

天体物理学 · 物理学 2007-05-23 M. Ramella , M. Nonino , W. Boschin , D. Fadda

We discuss existing and new computational analysis techniques to classify local atomic arrangements in large-scale atomistic computer simulations of crystalline solids. This article includes a performance comparison of typical analysis…

材料科学 · 物理学 2012-06-13 Alexander Stukowski

Star clusters are often hard to find, as they may lie in a dense field of background objects or, because in the case of embedded clusters, they are surrounded by a more dispersed population of young stars. This paper discusses four…

星系天体物理 · 物理学 2011-02-16 S. Schmeja

A clustering algorithm partitions a set of data points into smaller sets (clusters) such that each subset is more tightly packed than the whole. Many approaches to clustering translate the vector data into a graph with edges reflecting a…

几何拓扑 · 数学 2012-06-06 Jesse Johnson

We propose an unsupervised learning methodology with descriptors based on Topological Data Analysis (TDA) concepts to describe the local structural properties of materials at the atomic scale. Based only on atomic positions and without a…

无序系统与神经网络 · 物理学 2022-04-20 Sébastien Becker , Emilie Devijver , Rémi Molinier , Noël Jakse

A novel multi-resolution cluster detection (MCD) method is proposed to identify irregularly shaped clusters in space. Multi-scale test statistic on a single cell is derived based on likelihood ratio statistic for Bernoulli sequence, Poisson…

统计方法学 · 统计学 2012-05-11 Lingsong Zhang , Zhengyuan Zhu

We present a novel deep-learning-based method to cluster words in documents which we apply to detect and recognize tables given the OCR output. We interpret table structure bottom-up as a graph of relations between pairs of words (belonging…

机器学习 · 计算机科学 2024-05-24 Marek Polewczyk , Marco Spinaci

We present an operational method to determine the 'locally preferred structure'' of model liquids, a notion often put forward to explain supercooling of a liquid and glass formation. The method relies on finding the global minimum in the…

无序系统与神经网络 · 物理学 2011-05-05 S. Mossa , G. Tarjus

The topological patterns exhibited by many real-world networks motivate the development of topology-based methods for assessing the similarity of networks. However, extracting topological structure is difficult, especially for large and…

Successful scientific applications of large-scale molecular dynamics often rely on automated methods for identifying the local crystalline structure of condensed phases. Many existing methods for structural identification, such as Common…

材料科学 · 物理学 2016-05-24 Peter Mahler Larsen , Søren Schmidt , Jakob Schiøtz

We present Topological Point Cloud Clustering (TPCC), a new method to cluster points in an arbitrary point cloud based on their contribution to global topological features. TPCC synthesizes desirable features from spectral clustering and…

代数拓扑 · 数学 2025-03-04 Vincent P. Grande , Michael T. Schaub

This paper proposes a new paradigm and computational framework for identification of correspondences between sub-structures of distinct composite systems. For this, we define and investigate a variant of traditional data clustering, termed…

机器学习 · 计算机科学 2007-05-23 Zvika Marx , Ido Dagan , Joachim Buhmann

We present an information-theoretic approach inspired by distributional clustering to assess the structural heterogeneity of particulate systems. Our method identifies communities of particles that share a similar local structure by…

统计力学 · 物理学 2020-04-20 Joris Paret , Robert L. Jack , Daniele Coslovich

There has been a lot of interest in developing algorithms to extract clusters or communities from networks. This work proposes a method, based on blockmodelling, for leveraging communities and other topological features for use in a…

社会与信息网络 · 计算机科学 2011-10-20 Leto Peel

We survey the application of a relatively new branch of statistical physics--"community detection"-- to data mining. In particular, we focus on the diagnosis of materials and automated image segmentation. Community detection describes the…

材料科学 · 物理学 2017-11-22 Z. Nussinov , P. Ronhovde , Dandan Hu , S. Chakrabarty , M. Sahu , Bo Sun , N. A. Mauro , K. K. Sahu

The most energetically favourable arrangement of low-density electrons in an infinite two-dimensional plane is the ordered triangular Wigner lattice. However, in most instances of contemporary interest one deals instead with finite clusters…

等离子体物理 · 物理学 2012-04-27 A. Radzvilavičius , E. Anisimovas

We elaborate on a general method that we recently introduced for characterizing the "natural" structures in complex physical systems via a multiscale network based approach for the data mining of such structures. The approach is based on…

材料科学 · 物理学 2015-03-18 P. Ronhovde , S. Chakrabarty , D. Hu , M. Sahu , K. F. Kelton , N. A. Mauro , K . K. Sahu , Z. Nussinov
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