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This work introduces a refinement of the Parsimonious Model for fitting a Gaussian Mixture. The improvement is based on the consideration of clusters of the involved covariance matrices according to a criterion, such as sharing Principal…

Methodology · Statistics 2024-04-10 David Rodríguez-Vítores , Carlos Matrán

We investigate a clustering problem with data from a mixture of Gaussians that share a common but unknown, and potentially ill-conditioned, covariance matrix. We start by considering Gaussian mixtures with two equally-sized components and…

Machine Learning · Statistics 2021-11-30 Damek Davis , Mateo Díaz , Kaizheng Wang

The number of millisecond pulsars (MSPs) observed in Milky Way globular clusters has increased explosively in recent years, but the underlying population is still uncertain due to observational biases. We use state-of-the-art $N$-body…

High Energy Astrophysical Phenomena · Physics 2022-12-07 Claire S. Ye , Giacomo Fragione

Millisecond pulsars (MSPs) are neutron stars with spin periods as short as a few milliseconds, formed through mass accretion from companion stars. In the dense environments of globular clusters (GCs), MSPs are likely to originate through…

High Energy Astrophysical Phenomena · Physics 2025-11-13 Yuzhe Song , Debatri Chattopadhyay , Jarrod Hurley , Rainer Spurzem , Francesco Flammini Dotti , Kai Wu

In this paper, we propose a data based transformation for infinite-dimensional Gaussian processes and derive its limit theorem. For a classification problem, this transformation induces complete separation among the associated Gaussian…

Statistics Theory · Mathematics 2022-03-25 Juan A. Cuesta-Albertos , Subhajit Dutta

We introduce a probabilistic approach to select 6<z<8 quasar candidates for spectroscopic follow-up, which is based on density estimation in the high-dimensional space inhabited by the optical and near-infrared photometry. Density…

Astrophysics of Galaxies · Physics 2022-08-03 Riccardo Nanni , Joseph F. Hennawi , Feige Wang , Jinyi Yang , Jan-Torge Schindler , Xiaohui Fan

Studies of the Galactic population of radio pulsars have shown that their luminosity distribution appears to be log-normal in form. We investigate some of the consequences that occur when one applies this functional form to populations of…

Solar and Stellar Astrophysics · Physics 2013-04-08 Jayanth Chennamangalam , D. R. Lorimer , Ilya Mandel , Manjari Bagchi

Though about 80 pulsar binaries have been detected in globular clusters so far, no pulsar has been found in a triple system in which all three objects are of comparable mass. Here we present predictions for the abundance of such triple…

Astrophysics · Physics 2009-11-13 M. Trenti , S. Ransom , P. Hut , D. C. Heggie

Globular clusters are highly efficient radio pulsar factories. These pulsars can be used as precision probes of the clusters' structure, gas content, magnetic field, and formation history; some of them are also highly interesting in their…

High Energy Astrophysical Phenomena · Physics 2015-01-05 J. W. T. Hessels , A. Possenti , M. Bailes , C. G. Bassa , P. C. C. Freire , D. R. Lorimer , R. Lynch , S. M. Ransom , I. H. Stairs

Detecting stellar clusters have always been an important research problem in Astronomy. Although images do not convey very detailed information in detecting stellar density enhancements, we attempt to understand if new machine learning…

Machine Learning · Computer Science 2021-09-28 Arnab Karmakar , Deepak Mishra , Anandmayee Tej

We present a novel approach to identify galaxy clusters that are undergoing a merger using a deep learning approach. This paper uses massive galaxy clusters spanning $0 \leq z \leq 2$ from \textsc{The Three Hundred} project, a suite of…

Searching for extraterrestrial, transient signals in astronomical data sets is an active area of current research. However, machine learning techniques are lacking in the literature concerning single-pulse detection. This paper presents a…

Instrumentation and Methods for Astrophysics · Physics 2016-04-20 Thomas Devine , Katerina Goseva-Popstojanova , Maura McLaughlin

We have conducted a search of 19 southern Galactic globular clusters for sub-millisecond pulsars at 660 MHz with the Parkes 64-m radio telescope. To minimize dispersion smearing we used the CPSR baseband recorder, which samples the 20 MHz…

Astrophysics · Physics 2009-11-06 R. T. Edwards , W. van Straten , M. Bailes

We present the results of a simple but robust morphological classification of a statis- tically complete sample of 108 of the most X-ray luminous clusters at 0.15 < z < 0.7 observed with Chandra. Our aims are to (a) identify the most…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Andrew W. Mann , Harald Ebeling

We present a Bayesian inference approach to estimating the cumulative mass profile and mean squared velocity profile of a globular cluster given the spatial and kinematic information of its stars. Mock globular clusters with a range of…

Astrophysics of Galaxies · Physics 2022-03-09 Gwendolyn M. Eadie , Jeremy J. Webb , Jeffrey S. Rosenthal

We consider the problem of clustering datasets in the presence of arbitrary outliers. Traditional clustering algorithms such as k-means and spectral clustering are known to perform poorly for datasets contaminated with even a small number…

Machine Learning · Statistics 2021-02-02 Prateek R. Srivastava , Purnamrita Sarkar , Grani A. Hanasusanto

We consider the problem of grouping items into clusters based on few random pairwise comparisons between the items. We introduce three closely related algorithms for this task: a belief propagation algorithm approximating the Bayes optimal…

Social and Information Networks · Computer Science 2016-08-26 Alaa Saade , Marc Lelarge , Florent Krzakala , Lenka Zdeborová

This paper considers a network of sensors without fusion center that may be difficult to set up in applications involving sensors embedded on autonomous drones or robots. In this context, this paper considers that the sensors must perform a…

Statistics Theory · Mathematics 2017-06-13 Dominique Pastor , Elsa Dupraz , François-Xavier Socheleau

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…

Data Structures and Algorithms · Computer Science 2020-06-02 He Jia , Santosh Vempala

The consistency of the maximum likelihood estimator for mixtures of elliptically-symmetric distributions for estimating its population version is shown, where the underlying distribution $P$ is nonparametric and does not necessarily belong…

Statistics Theory · Mathematics 2024-10-14 Pietro Coretto , Christian Hennig