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We use a sample of 53 galaxy clusters at 0.03 < z < 0.1 with available masses derived from the caustic technique and with velocity dispersions computed using 208 galaxies on average per cluster, in order to investigate the scaling between…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 S. Andreon , M. A. Hurn

We introduce a novel class of Bayesian mixtures for normal linear regression models which incorporates a further Gaussian random component for the distribution of the predictor variables. The proposed cluster-weighted model aims to…

Methodology · Statistics 2026-05-26 Panagiotis Papastamoulis , Konstantinos Perrakis

Given a weighted and complete graph G = (V, E), V denotes the set of n objects to be clustered, and the weight d(u, v) associated with an edge (u, v) belonging to E denotes the dissimilarity between objects u and v. The diameter of a…

Data Structures and Algorithms · Computer Science 2012-06-22 Jiabing Wang , Jiaye Chen

Machine learning (ML) techniques, in particular supervised regression algorithms, are a promising new way to use multiple observables to predict a cluster's mass or other key features. To investigate this approach we use the \textsc{MACSIS}…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-16 Thomas J. Armitage , Scott T. Kay , David J. Barnes

Gradually, the $\Lambda$CDM model starts to be challenged by observational data. Upcoming cosmological surveys will increase the number of detected galaxy clusters by several orders of magnitude. Therefore, shortly, clusters will provide…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-25 E. Artis , J-B Melin , J. G. Bartlett , C. Murray

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

Magnetic nanoparticles offer a unique potential for various biomedical applications, but prior to commercial usage a standardized characterization of their structural and magnetic properties is required. For a thorough characterization, the…

Mesoscale and Nanoscale Physics · Physics 2020-08-18 Mathias Bersweiler , Helena Gavilan Rubio , Dirk Honecker , Andreas Michels , Philipp Bender

The determination of galaxy cluster mass is of great importance since it is directly linked to the well- known problem of dark matter in the Universe and to the cluster baryon content. X-ray observations from satellites have enabled a…

Astrophysics · Physics 2007-05-23 R. Sadat

We study the clustering task under anisotropic Gaussian Mixture Models where the covariance matrices from different clusters are unknown and are not necessarily the identical matrix. We characterize the dependence of signal-to-noise ratios…

Statistics Theory · Mathematics 2021-01-19 Xin Chen , Anderson Y. Zhang

Bayesian model selection provides the cosmologist with an exacting tool to distinguish between competing models based purely on the data, via the Bayesian evidence. Previous methods to calculate this quantity either lacked general…

Astrophysics · Physics 2008-11-26 J. R. Shaw , M. Bridges , M. P. Hobson

Many-body methods that use Gaussian-wave packets to describe nucleon-spatial distribution have been widely employed for depicting various phenomena in nuclear systems, in particular clustering. So far, however, the chiral effective field…

Nuclear Theory · Physics 2023-08-23 Tokuro Fukui

The outskirts of galaxy clusters present a promising avenue for constraining cluster masses in a way that is robust to the impact of baryonic physics. We assess the accuracy to which the cluster infall regions can be used to for cluster…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-25 Connor Sweeney , Eduardo Rozo

One of the most direct way to constrain the matter density of the universe $\Omega_M$ is to measure the baryon content in X-Rays clusters of galaxies. Typical value of the mean gas mass fraction is $\fg \sim 0.15h^{-3/2}$ which leads to…

Astrophysics · Physics 2007-05-23 R. Sadat , A. Blanchard , M. Douspis

We propose a score function for Bayesian clustering. The function is parameter free and captures the interplay between the within cluster variance and the between cluster entropy of a clustering. It can be used to choose the number of…

Other Statistics · Statistics 2019-05-27 John Noble , Łukasz Rajkowski

The large catalogues of galaxy clusters expected from the Euclid survey will enable cosmological analyses of cluster number counts that require accurate cosmological model predictions. One possibility is to use parametric fits calibrated…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-03 T. Gayoux , P. -S. Corasaniti , T. R. G. Richardson , S. T. Kay , A. M. C. Le Brun , L. Moscardini , L. Pizzuti , S. Borgani , M. Costanzi , C. Giocoli , S. Grandis , A. Ragagnin , J. Rhodes , I. Saez-Casares , M. Sereno , E. Sarpa , B. Altieri , A. Amara , S. Andreon , N. Auricchio , C. Baccigalupi , M. Baldi , S. Bardelli , A. Biviano , E. Branchini , M. Brescia , S. Camera , G. Canas-Herrera , V. Capobianco , C. Carbone , J. Carretero , S. Casas , M. Castellano , G. Castignani , S. Cavuoti , K. C. Chambers , A. Cimatti , C. Colodro-Conde , G. Congedo , L. Conversi , Y. Copin , F. Courbin , H. M. Courtois , A. Da Silva , H. Degaudenzi , G. De Lucia , H. Dole , F. Dubath , C. A. J. Duncan , X. Dupac , S. Dusini , S. Escoffier , M. Farina , R. Farinelli , S. Farrens , F. Faustini , S. Ferriol , F. Finelli , M. Frailis , E. Franceschi , M. Fumana , S. Galeotta , B. Gillis , J. Gracia-Carpio , A. Grazian , F. Grupp , S. V. H. Haugan , W. Holmes , F. Hormuth , A. Hornstrup , K. Jahnke , M. Jhabvala , E. Keihanen , S. Kermiche , A. Kiessling , M. Kilbinger , B. Kubik , M. Kunz , H. Kurki-Suonio , O. Lahav , S. Ligori , P. B. Lilje , V. Lindholm , I. Lloro , G. Mainetti , D. Maino , E. Maiorano , O. Mansutti , S. Marcin , O. Marggraf , M. Martinelli , N. Martinet , F. Marulli , R. J. Massey , E. Medinaceli , S. Mei , Y. Mellier , M. Meneghetti , E. Merlin , G. Meylan , A. Mora , M. Moresco , E. Munari , C. Neissner , S. -M. Niemi , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , V. Pettorino , S. Pires , G. Polenta , M. Poncet , L. A. Popa , L. Pozzetti , F. Raison , R. Rebolo , A. Renzi , G. Riccio , E. Romelli , M. Roncarelli , R. Saglia , Z. Sakr , D. Sapone , B. Sartoris , P. Schneider , A. Secroun , G. Seidel , S. Serrano , P. Simon , C. Sirignano , G. Sirri , L. Stanco , J. -L. Starck , J. Steinwagner , P. Tallada-Crespí , A. N. Taylor , I. Tereno , N. Tessore , S. Toft , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , L. Valenziano , J. Valiviita , T. Vassallo , G. Verdoes Kleijn , A. Veropalumbo , Y. Wang , J. Weller , G. Zamorani , E. Zucca , C. Burigana , M. Maturi , V. Scottez , M. Viel

Clusters of galaxies need to be investigated using complementary approaches combining all currently available observational techniques (X-ray, gravitational lensing, dynamics, SZ) on homogeneous samples if one wants to understand their…

Astrophysics · Physics 2007-05-23 Oliver Czoske , Jean-Paul Kneib , Sebastien Bardeau

In recent years, the problem of fuzzy clustering has been widely concerned. The membership iteration of existing methods is mostly considered globally, which has considerable problems in noisy environments, and iterative calculations for…

Machine Learning · Computer Science 2023-03-09 Jiang Xie , Qiao Deng , Shuyin Xia , Yangzhou Zhao , Guoyin Wang , Xinbo Gao

It is shown in this paper that deviations of galaxy cluster lenses from spherical symmetry can render mass estimates for galaxy clusters based on the formation of large arcs systematically to high. Numerical models show that the mass needed…

Astrophysics · Physics 2011-05-23 Matthias Bartelmann

A Gaussian process has been one of the important approaches for emulating computer simulations. However, the stationarity assumption for a Gaussian process and the intractability for large-scale dataset limit its availability in practice.…

Methodology · Statistics 2020-11-06 Chih-Li Sung , Benjamin Haaland , Youngdeok Hwang , Siyuan Lu

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
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