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Spectral clustering views the similarity matrix as a weighted graph, and partitions the data by minimizing a graph-cut loss. Since it minimizes the across-cluster similarity, there is no need to model the distribution within each cluster.…

统计方法学 · 统计学 2023-04-14 Leo L. Duan , Arkaprava Roy

A routine crystallography technique, crystal structure analysis, is rarely performed in computational condensed matter research. The lack of methods to identify and characterize crystal structures reliably in particle simulation data…

材料科学 · 物理学 2021-06-29 Michael Engel

In this chapter we review some examples, methods, and recent results involving comparison of clustering properties of point processes. Our approach is founded on some basic observations allowing us to consider void probabilities and moment…

概率论 · 数学 2014-05-23 Bartłomiej Błaszczyszyn , D. Yogeshwaran

Understanding the formation and evolution of high mass star clusters requires comparisons between theoretical and observational data to be made. Unfortunately, while the full phase space of simulated regions is available, often only partial…

星系天体物理 · 物理学 2022-10-17 Anne S. M. Buckner , Kong You Liow , Clare L. Dobbs , Tim Naylor , Steven Rieder

We use a supervised machine-learning model based on a neural network to predict the temporal and spectral intensity profiles of the pulses that form upon nonlinear propagation in optical fibers with both normal and anomalous second-order…

光学 · 物理学 2020-08-26 Sonia Boscolo , Christophe Finot

The 3D modelling of indoor environments and the generation of process simulations play an important role in factory and assembly planning. In brownfield planning cases existing data are often outdated and incomplete especially for older…

机器学习 · 统计学 2021-02-05 Christina Petschnigg , Markus Spitzner , Lucas Weitzendorf , Jürgen Pilz

We propose an octree guided neural network architecture and spherical convolutional kernel for machine learning from arbitrary 3D point clouds. The network architecture capitalizes on the sparse nature of irregular point clouds, and…

计算机视觉与模式识别 · 计算机科学 2019-03-04 Huan Lei , Naveed Akhtar , Ajmal Mian

We consider the problem of landmark matching between two unlabelled point sets, in particular where the number of points in each cloud may differ, and where points in each cloud may not have a corresponding match. We invoke a Bayesian…

统计方法学 · 统计学 2022-06-01 Jessica E. Forsyth , Ali H. Al-Anbaki , Berenika Plusa , Simon L. Cotter

In order to identify clusters of objects with features transformed by unknown affine transformations, we develop a Bayesian cluster process which is invariant with respect to certain linear transformations of the feature space and able to…

统计方法学 · 统计学 2016-12-01 Hsin-Hsiung Huang , Jie Yang

We propose the CliPS procedure when fitting Bayesian mixture models in the context of model-based clustering to identify the cluster distributions while simultaneously assessing the suitability of a cluster solution and validating the…

统计方法学 · 统计学 2026-03-03 Gertraud Malsiner-Walli , Sylvia Frühwirth-Schnatter , Bettina Grün

The task of clustering a set of objects based on multiple sources of data arises in several modern applications. We propose an integrative statistical model that permits a separate clustering of the objects for each data source. These…

机器学习 · 统计学 2015-12-01 Eric F. Lock , David B. Dunson

Advances in cellular imaging technologies, especially those based on fluorescence in situ hybridization (FISH) now allow detailed visualization of the spatial organization of human or bacterial cells. Quantifying this spatial organization…

In this paper, a new class of optical fibers is studied, i.e. microstructured fibers or photonic crystal fibers (PCF). The main objective is to characterize these fibers using different dispersion diagrams and present an interface that…

综合物理 · 物理学 2013-08-01 Debbal Mohammed , Chikh-Bled Mohammed

Context. Gravitational collapse theory and numerical simulations suggest that the velocity field within large-scale galaxy filaments is dominated by motions along the filaments. Aims. Our aim is to check whether observational data reveal…

宇宙学与河外天体物理 · 物理学 2015-03-25 Elmo Tempel , Antti Tamm

Recent technological advances have led to a flood of new data on cosmology rich in information about the formation and evolution of the universe, e.g., the data collected in Sloan Digital Sky Survey (SDSS) for more than 200 million objects.…

宇宙学与河外天体物理 · 物理学 2009-02-25 Sabyasachi Mukhopadhyay , Sisir Roy , Sourabh Bhattacharya

Density-based clustering methodology has been widely considered in the statistical literature for classifying Euclidean observations. However, this approach has not been contemplated for directional data yet. In this work, directional…

统计方法学 · 统计学 2023-03-07 Paula Saavedra-Nieves , Martín Fernández-Pérez

We present a 3D Bayesian method to model the kinematics of strongly lensed galaxies from spatially-resolved emission-line observations. This technique enables us to simultaneously recover the lens-mass distribution and the source kinematics…

星系天体物理 · 物理学 2018-09-21 Francesca Rizzo , Simona Vegetti , Filippo Fraternali , Enrico Di Teodoro

We present clustering methods for multivariate data exploiting the underlying geometry of the graphical structure between variables. As opposed to standard approaches that assume known graph structures, we first estimate the edge structure…

统计方法学 · 统计学 2015-09-28 Sayantan Banerjee , Rehan Akbani , Veerabhadran Baladandayuthapani

With the recent popularity of graphical clustering methods, there has been an increased focus on the information between samples. We show how learning cluster structure using edge features naturally and simultaneously determines the most…

机器学习 · 统计学 2016-05-09 Matt Barnes , Artur Dubrawski

We present a hierarchical Bayesian inference approach to estimating the structural properties and the phase space center of a globular cluster (GC) given the spatial and kinematic information of its stars based on lowered isothermal cluster…

星系天体物理 · 物理学 2023-11-21 Robin Y. Wen , Joshua S. Speagle , Jeremy J. Webb , Gwendolyn M. Eadie