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Well-known quantum machine learning techniques, namely quantum kernel assisted support vector machines (QSVMs) and quantum convolutional neural networks (QCNNs), are applied to the binary classification of pulsars. In this comparitive study…

Quantum Physics · Physics 2024-09-09 Donovan Slabbert , Matt Lourens , Francesco Petruccione

We develop a Bayesian model for globular clusters composed of multiple stellar populations, extending earlier statistical models for open clusters composed of simple (single) stellar populations (vanDyk et al. 2009, Stein et al. 2013).…

Solar and Stellar Astrophysics · Physics 2016-07-27 D. C. Stenning , R. Wagner-Kaiser , E. Robinson , D. A. van Dyk , T. von Hippel , A. Sarajedini , N. Stein

We employ N--body/$3D$ gas dynamic simulations of the formation of galaxy clusters to determine whether cluster X--ray morphologies can be used as cosmological constraints. Confirming the analytic expectations of Richstone, Loeb, \& Turner,…

Astrophysics · Physics 2009-10-22 August Evrard , Joseph Mohr , Daniel Fabricant , Margaret Geller

Observations of young star clusters in a variety of galaxies have been used to constrain basic properties related to star-formation, such as the fraction of stars found in clusters (Gam) and the shape of the cluster mass function. However,…

Astrophysics of Galaxies · Physics 2024-12-05 Miranda Caputo , Rupali Chandar , Angus Mok , Sean Linden , Paul Goudfrooij , Bradley C. Whitmore

An objective classification of the globular clusters of NGC 5128 has been carried out by using a model-based approach of cluster analysis. The set of observable parameters includes structural parameters, spectroscopically determined Lick…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Asis Kumar Chattopadhyay , Tanuka Chattopadhyay , Emmanuel Davoust , Saptarshi Mondal , Margarita Sharina

We study the sparse high-dimensional Gaussian mixture model when the number of clusters is allowed to grow with the sample size. A minimax lower bound for parameter estimation is established, and we show that a constrained maximum…

Statistics Theory · Mathematics 2024-02-26 Dapeng Yao , Fangzheng Xie , Yanxun Xu

Real-world applications may be affected by outlying values. In the model-based clustering literature, several methodologies have been proposed to detect units that deviate from the majority of the data (rowwise outliers) and trim them from…

We investigate in detail the effects of sampling on our ability to accurately reconstruct the distribution of galaxies from galaxy surveys. We use a simple probability theory approach, Bayesian classifier theory and Bayesian transition…

Astrophysics · Physics 2009-10-28 István Szapudi , Alexander S. Szalay

In this paper, we consider the problem of partitioning a small data sample of size $n$ drawn from a mixture of $2$ sub-gaussian distributions. Our work is motivated by the application of clustering individuals according to their population…

Statistics Theory · Mathematics 2023-01-05 Shuheng Zhou

We have systematically studied the X-ray emission properties of globular cluster millisecond pulsars in order to evaluate their spectral properties and luminosities in a uniform way. Cross-correlating the radio timing positions of the…

High Energy Astrophysical Phenomena · Physics 2010-06-03 W. Becker , H. H. Huang , T. Prinz

We generalize the well-known mixtures of Gaussians approach to density estimation and the accompanying Expectation--Maximization technique for finding the maximum likelihood parameters of the mixture to the case where each data point…

Methodology · Statistics 2011-08-01 Jo Bovy , David W. Hogg , Sam T. Roweis

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…

Statistics Theory · Mathematics 2015-02-09 Stéphane Auray , Nicolas Klutchnikoff , Laurent Rouvière

We investigate the estimation of multivariate extreme models with a discrete spectral measure using spherical clustering techniques. The primary contribution involves devising a method for selecting the order, that is, the number of…

Methodology · Statistics 2025-02-20 Shiyuan Deng , He Tang , Shuyang Bai

We propose an architecture for fine-grained visual categorization that approaches expert human performance in the classification of bird species. Our architecture first computes an estimate of the object's pose; this is used to compute…

Computer Vision and Pattern Recognition · Computer Science 2014-06-12 Steve Branson , Grant Van Horn , Serge Belongie , Pietro Perona

We construct a density estimator in the bivariate uniform deconvolution model. For this model we derive four inversion formulas to express the bivariate density that we want to estimate in terms of the bivariate density of the observations.…

Methodology · Statistics 2011-06-09 Martina Benešová , Bert van Es , Peter Tegelaar

The origin of the diverse population of galaxy clusters remains an unexplained aspect of large-scale structure formation and cluster evolution. We present a novel method of using X-ray images to identify cool core (CC), weak cool core…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-14 Y. Su , Y. Zhang , G. Liang , J. A. ZuHone , D. J. Barnes , N. B. Jacobs , M. Ntampaka , W. R. Forman , P. E. J. Nulsen , R. P. Kraft , C. Jones

The discovery of fast and variable coherent signals in a handful of ultraluminous X-ray sources (ULXs) testifies to the presence of super-Eddington accreting neutron stars, and drastically changed the understanding of the ULX class. Our…

Despite compelling theoretical arguments, the use of clusters as cosmological probes is, in practice, frequently questioned because of the many uncertainties impinging on cluster mass estimates. Our aim is to develop a fully self-consistent…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-29 M. Pierre , A. Valotti , L. Faccioli , N. Clerc , R. Gastaud , E. Koulouridis , F. Pacaud

One of the fundamental problems in network analysis is detecting community structure in multi-layer networks, of which each layer represents one type of edge information among the nodes. We propose integrative spectral clustering approaches…

Machine Learning · Statistics 2022-10-07 Sihan Huang , Haolei Weng , Yang Feng

We study luminosities of millisecond pulsars in globular clusters by fitting the observed luminosity distribution with single and double power laws. We use simulations to model the observed distribution as the brighter part of some parent…

Solar and Stellar Astrophysics · Physics 2011-09-05 Manjari Bagchi , Duncan R. Lorimer