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With the routine collection of massive-dimensional predictors in many application areas, screening methods that rapidly identify a small subset of promising predictors have become commonplace. We propose a new MOdular Bayes Screening (MOBS)…

Methodology · Statistics 2017-03-30 Yuhan Chen , David B. Dunson

We use $N$-body simulations to measure mass functions in flat cosmological models with quintessence characterized by constant $w$ with $w=-1$, -2/3 and -1/2. The results are compared to the predictions of the formula proposed by Jenkins et…

Astrophysics · Physics 2007-05-23 Ewa L. Lokas , Paul Bode , Yehuda Hoffman

We study the minimum mean-squared error for 2-means clustering when the outcomes of the vector-valued random variable to be clustered are on two touching spheres of unit radius in $n$-dimensional Euclidean space and the underlying…

Probability · Mathematics 2018-10-17 Bernhard G. Bodmann , Craig J. George

As the largest gravitationally bound objects in the universe, clusters of galaxies may contain a fair sample of the baryonic mass fraction of the universe. Since the gas mass fraction from the hot ICM is believed to be constant in time, the…

Astrophysics · Physics 2009-10-30 K. Rines , W. Forman , U. Pen , C. Jones , R. Burg

We propose a new technique to reconstruct non-parametrically the projected mass distribution of galaxy clusters from their gravitational lens effect on background galaxies. The beauty of our technique, is that it combines information from…

Astrophysics · Physics 2007-05-23 Hanadi M. AbdelSalam , Prasenjit Saha , Liliya L. R. Williams

The presence or absence of star clusters in galaxies, and the properties of star cluster populations compared to their host galaxy properties, are important observables for validating models of cluster formation, galaxy formation, and…

Astrophysics of Galaxies · Physics 2023-08-09 Samantha C. Berek , Marta Reina-Campos , Gwendolyn Eadie , Alison Sills

The use of large, X-ray selected galaxy cluster catalogues for cosmological analyses requires a thorough understanding of the X-ray mass estimates. Weak gravitational lensing is an ideal method to shed light on such issues, due to its…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-05 Melanie Simet , Nicholas Battaglia , Rachel Mandelbaum , Uroš Seljak

We present a survey of mass profiles and mass-to-light ratios of eight typical galaxy clusters at a common redshift (z ~ 0.2). We use weak gravitational lensing as a probe because it is unique in avoiding any assumptions about the dynamical…

We use a matched filter algorithm to find and study clusters in both N-body simulations artificially populated with galaxies and the 2MASS survey. In addition to numerous checks of the matched filter algorithm, we present results on the…

Astrophysics · Physics 2008-11-07 C. S. Kochanek , Martin White , J. Huchra , L. Macri , T. H. Jarrett , S. E. Schneider , J. Mader

Bayesian nonparametric mixture models are widely used to cluster observations. However, one major drawback of the approach is that the estimated partition often presents unbalanced clusters' frequencies with only a few dominating clusters…

Methodology · Statistics 2026-02-03 Beatrice Franzolini , Giovanni Rebaudo

{}From the lensing properties of a numerically simulated cluster, from the statistical properties of the giant arcs produced by the cluster, and from comparing the cluster properties derived both from lensing and from the X-ray properties…

Astrophysics · Physics 2007-05-23 M. Bartelmann , A. Weiss

There are several assumptions made in a standard $\chi^2$ analysis of data, including the frequent assumption that the likelihood function is well approximated by a multivariate Gaussian distribution. This article briefly reviews the…

Nuclear Theory · Physics 2015-02-09 Andrew W. Steiner

(abridged) We present a model to predict the clustering properties of X-ray clusters in flux-limited surveys. Our technique correctly accounts for past light-cone effects on the observed clustering and follows the non-linear evolution in…

Astrophysics · Physics 2009-10-31 Lauro Moscardini , Sabino Matarrese , Francesco Lucchin , Piero Rosati

Bayesian clustering methods have the widely touted advantage of providing a probabilistic characterization of uncertainty in clustering through the posterior distribution. An amazing variety of priors and likelihoods have been proposed for…

Methodology · Statistics 2025-11-21 Garritt L. Page , Andrés F. Barrientos , David B. Dahl , David B. Dunson

The use of galaxy clusters as cosmological probes hinges on our ability to measure their masses accurately and with high precision. Hydrostatic mass is one of the most common methods for estimating the masses of individual galaxy clusters,…

Cosmology and Nongalactic Astrophysics · Physics 2014-02-12 Kaylea Nelson , Erwin T. Lau , Daisuke Nagai , Douglas H. Rudd , Liang Yu

We present a comparison between the observed galaxy stellar mass function and the one predicted from the De Lucia & Blaizot (2007) semi-analytic model applied to the Millennium Simulation, for cluster satellites and galaxies in the field…

Astrophysics of Galaxies · Physics 2015-06-19 B. Vulcani , G. De Lucia , B. M. Poggianti , K. Bundy , S. More , R. Calvi

The mass function of galaxy clusters is a powerful tool to constrain cosmological parameters, e.g., the mass fluctuation on the scale of 8 h^{-1} Mpc, sigma_8, and the abundance of total matter, Omega_m. We first determine the scaling…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Z. L. Wen , J. L. Han , F. S. Liu

We propose a simple estimator for the gravitational potential of cluster-size halos using the temperature and density profiles of the intracluster gas based on the assumptions of hydrostatic equilibrium and spherical symmetry. Using high…

Cosmology and Nongalactic Astrophysics · Physics 2011-06-08 Erwin T. Lau

Weak gravitational lensing and the Sunyaev-Zel'dovich effect provide complementary information on the composition of clusters of galaxies. Preliminary results from cluster SZ observations with the Very Small Array are presented. A Bayesian…

Astrophysics · Physics 2007-05-23 P. J. Marshall , K. Lancaster , M. P. Hobson , K. J. B. Grainge

Probabilistic cross-identification has been successfully applied to a number of problems in astronomy from matching simple point sources to associating stars with unknown proper motions and even radio observations with realistic morphology.…

Astrophysics of Galaxies · Physics 2017-06-30 Neil Mallinar , Tamas Budavari , Gerard Lemson