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The abundance of clusters and the clustering of galaxies are two of the important cosmological probes for current and future large scale surveys of galaxies, such as the Dark Energy Survey. In order to combine them one has to account for…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-17 Fabien Lacasa , Rogerio Rosenfeld

Principal component analysis (PCA) is an important tool in exploring data. The conventional approach to PCA leads to a solution which favours the structures with large variances. This is sensitive to outliers and could obfuscate interesting…

Methodology · Statistics 2015-06-16 A. A. Akinduko , A. N. Gorban

We present a technique for estimating the mass in the outskirts of galaxy clusters where the usual assumption of dynamical equilibrium is not valid. The method assumes that clusters form through hierarchical clustering and requires only…

Astrophysics · Physics 2009-10-31 Antonaldo Diaferio

We present a measurement of average histograms of line-of-sight velocities over pairs of galaxies and galaxy clusters. Since the histogram can be measured at different galaxy-cluster separations, this observable is commonly referred to as…

Astrophysics of Galaxies · Physics 2021-07-21 Masato Shirasaki , Eiichi Egami , Nobuhiro Okabe , Satoshi Miyazaki

The evolution of galaxy cluster counts is a powerful probe of several fundamental cosmological parameters. A number of recent studies using this probe have claimed tension with the cosmology preferred by the analysis of the Planck primary…

Cosmology and Nongalactic Astrophysics · Physics 2016-09-21 C. E. Caldwell , I. G. McCarthy , I. K. Baldry , C. A. Collins , J. Schaye , S. Bird

Masses of clusters of galaxies from weak gravitational lensing analyses of ever larger samples are increasingly used as the reference to which baryonic scaling relations are compared. In this paper we revisit the analysis of a sample of 50…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Henk Hoekstra , Ricardo Herbonnet , Adam Muzzin , Arif Babul , Andisheh Mahdavi , Massimo Viola , Marcello Cacciato

The relation between mass and concentration of galaxy clusters traces their formation and evolution. Massive lensing clusters were observed to be over-concentrated and following a steep scaling in tension with predictions from the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Mauro Sereno , Carlo Giocoli , Stefano Ettori , Lauro Moscardini

In this paper, we study the application of sparse principal component analysis (PCA) to clustering and feature selection problems. Sparse PCA seeks sparse factors, or linear combinations of the data variables, explaining a maximum amount of…

Artificial Intelligence · Computer Science 2008-10-08 Ronny Luss , Alexandre d'Aspremont

We estimate the bias on weak lensing mass measurements of shear-selected galaxy cluster samples. The mass bias is expected to be significant because constructions of cluster samples from peaks in weak lensing mass maps and measurements of…

Astrophysics of Galaxies · Physics 2020-03-25 Kai-Feng Chen , Masamune Oguri , Yen-Ting Lin , Satoshi Miyazaki

In model-based clustering using finite mixture models, it is a significant challenge to determine the number of clusters (cluster size). It used to be equal to the number of mixture components (mixture size); however, this may not be valid…

Machine Learning · Computer Science 2020-07-16 Shunki Kyoya , Kenji Yamanishi

Clusters of galaxies mass can be inferred by indirect observations, see X-ray band, Sunyaev-Zeldovich (SZ) effect signal or optical. Unfortunately, all of them are affected by some bias. Alternatively, we provide an independent estimation…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-09 Daniel de Andres , Weiguang Cui , Florian Ruppin , Marco De Petris , Gustavo Yepes , Ichraf Lahouli , Gianmarco Aversano , Romain Dupuis , Mahmoud Jarraya

We present the first measurement of the mass function of galaxy clusters based directly on cluster masses derived from observations of weak gravitational lensing. To investigate the degree of sample incompleteness resulting from the X-ray…

Astrophysics · Physics 2009-02-06 H. Dahle

The mass of a cluster of galaxies can be estimated from its lens magnification, which can be determined from the variation in number counts of background galaxies. In order to derive the mass one needs to make assumptions for the lens…

Astrophysics · Physics 2007-05-23 Eelco van Kampen

We discuss the measurements of the galaxy cluster mass functions at z=~0.05 and z=~0.5 using high-quality Chandra observations of samples derived from the ROSAT PSPC All-Sky and 400deg^2 surveys. We provide a full reference for the data…

(abridged) We use a theoretical model to predict the clustering properties of galaxy clusters. Our technique accounts for past light-cone effects on the observed clustering and follows the non-linear evolution of the dark matter correlation…

Astrophysics · Physics 2009-10-31 Lauro Moscardini , Sabino Matarrese , H. J. Mo

The caustic technique for measuring mass profiles of galaxy clusters relies on the assumption of spherical symmetry. When applied to aspherical galaxy clusters, the method yields mass estimates affected by the cluster orientation. Here we…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Jacob Svensmark , Radoslaw Wojtak , Steen H. Hansen

We describe the scientific motivation behind, and the methodology of, the Stanford Cluster Search (StaCS), a program to compile a catalog of optically selected clusters of galaxies at intermediate and high (0.3 < z < 1) redshifts. The…

Large area surveys have detected significant samples of galaxy clusters that can be used to constrain cosmological parameters, provided that the masses of the clusters are measured robustly. To improve the calibration of cluster masses…

We analyse parallel N-body simulations of three Cold Dark Matter (CDM) universes to study the abundance and clustering of galaxy clusters. The simulations cover a volume comparable to the forthcoming SDSS. We are able to make robust…

Astrophysics · Physics 2008-11-26 F. Governato , A. Babul , T. Quinn , P. Tozzi , C. M. Baugh , N. Katz , G. Lake

The technique of weak-lensing aperture mass densitometry, so called the zeta-statistic, has recently been popular in actual observations for measurement of individual cluster mass. It has however been anticipated that the line-of-sight…

Astrophysics · Physics 2007-05-23 Jun-Mein Wu , Keiichi Umetsu , Chia-Hung Chien , Tzihong Chiueh