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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

The X-ray regime, where the most massive visible component of galaxy clusters, the intra cluster medium (ICM), is visible, offers directly measured quantities, like the luminosity, and derived quantities, like the total mass, to…

Cosmology and Nongalactic Astrophysics · Physics 2017-06-28 G. Schellenberger , T. H. Reiprich

We derive the weight function w(M) to apply to dark-matter halos that minimizes the stochasticity between the weighted halo distribution and its underlying mass density field. The optimal w(M) depends on the range of masses being used in…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Yan-Chuan Cai , Gary Bernstein , Ravi K. Sheth

In the context of unsupervised learning, effective clustering plays a vital role in revealing patterns and insights from unlabeled data. However, the success of clustering algorithms often depends on the relevance and contribution of…

Machine Learning · Computer Science 2025-03-18 Fabian Galis , Darian Onchis

The total masses of galaxy clusters characterize many aspects of astrophysics and the underlying cosmology. It is crucial to obtain reliable and accurate mass estimates for numerous galaxy clusters over a wide range of redshifts and mass…

Instrumentation and Methods for Astrophysics · Physics 2022-03-30 Sheng-Chieh Lin , Yuanyuan Su , Gongbo Liang , Yuanyuan Zhang , Nathan Jacobs , Yu Zhang

We apply a mass reconstruction technique to simulated large-scale structure gravitational distortion maps, from 2.5' to 10 degree scales, for different cosmological scenarii. The projected mass is reconstructed using a non-parametric least…

Astrophysics · Physics 2007-05-23 L. Van Waerbeke , F. Bernardeau , Y. Mellier

The weak gravitational lensing distortion of distant galaxy images (defined as sources) probes the projected large-scale matter distribution in the Universe. To improve quality in the 3D mass mapping using 3D-lensing, we combine the lensing…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Patrick Simon

Power-law cosmologies, in which the cosmological scale factor evolves as a power law in the age, $a \propto t^{\alpha}$ with $\alpha \ga 1$, regardless of the matter content or cosmological epoch, is comfortably concordant with a host of…

Astrophysics · Physics 2009-11-13 Zong-Hong Zhu , Ming Hu , J. S. Alcaniz , Yu-Xing Liu

We re-examine the effects of redshift space distortion in all-sky galaxy redshift surveys in the formalism of spherical harmonics. Within this framework we show how one can treat both the large-scale linear effects, and the small-scale…

Astrophysics · Physics 2015-06-24 A. F. Heavens , A. N. Taylor

In this paper, we present the tools used to search for galaxy clusters in the Kilo Degree Survey (KiDS), and our first results. The cluster detection is based on an implementation of the optimal filtering technique that enables us to…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-08 M. Radovich , E. Puddu , F. Bellagamba , M. Roncarelli , L. Moscardini , S. Bardelli , A. Grado , F. Getman , M. Maturi , Z. Huang , N. Napolitano , J. McFarland , E. Valentijn , M. Bilicki

We present an efficient and robust approach for extracting clusters of galaxies from weak lensing survey data and measuring their properties. We use simple, physically-motivated cluster models appropriate for such sparse, noisy data, and…

Astrophysics · Physics 2008-10-07 F. Feroz , P. J. Marshall , M. P. Hobson

Cluster-weighted modeling (CWM) is a mixture approach for modeling the joint probability of a response variable and a set of explanatory variables. The parameters are estimated by means of the expectation-maximization algorithm according to…

Computation · Statistics 2013-08-09 Salvatore Ingrassia , Simona C. Minotti

We present a unified approach to the problems of reconstruction of large-scale structure distribution in the universe and determination of the underlying power spectrum. These have often been treated as two separate problems and different…

Astrophysics · Physics 2009-10-30 Uros Seljak

Ongoing and future wide-field galaxy surveys can be used to locate a number of clusters of galaxies with cosmic shear measurement alone. We study constraints on cosmological models using statistics of weak lensing selected galaxy clusters.…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-17 Masato Shirasaki , Takashi Hamana , Naoki Yoshida

Identifying galaxy clusters through overdensities of galaxies in photometric surveys is the oldest and arguably the most economic and mass-sensitive detection method, compared to X-ray and Sunyaev-Zel'dovich Effect surveys that detect the…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-01 J. E. Geach , J. A. Peacock

One of the main unsolved problems of cosmology is how to maximize the extraction of information from nonlinear data. If the data are nonlinear the usual approach is to employ a sequence of statistics (N-point statistics, counting statistics…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-07 Uros Seljak , Grigor Aslanyan , Yu Feng , Chirag Modi

In the standard (classic) approach, galaxy clustering measurements from spectroscopic surveys are compressed into baryon acoustic oscillations and redshift space distortions measurements, which in turn can be compared to cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-28 Samuel Brieden , Héctor Gil-Marín , Licia Verde

We describe a new optimization scheme for finding high-quality correlation clusterings in planar graphs that uses weighted perfect matching as a subroutine. Our method provides lower-bounds on the energy of the optimal correlation…

Computer Vision and Pattern Recognition · Computer Science 2012-08-03 Julian Yarkony , Alexander T. Ihler , Charless C. Fowlkes

We introduce a tensor-based clustering method to extract sparse, low-dimensional structure from high-dimensional, multi-indexed datasets. This framework is designed to enable detection of clusters of data in the presence of structural…

Quantitative Methods · Quantitative Biology 2019-02-11 Anna Seigal , Mariano Beguerisse-Díaz , Birgit Schoeberl , Mario Niepel , Heather A. Harrington

Using both halo model calculations and a large sample of simulated SZ maps, we demonstrate that high-mass clusters add significant non-Gaussian variance to measurements of the SZ power spectrum amplitude. The difficulty in correctly…

Cosmology and Nongalactic Astrophysics · Physics 2009-08-17 L. D. Shaw , O. Zahn , G. P. Holder , O. Doré