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Mixture model-based frameworks are very popular for statistical inference in clustering. While convenient for producing probabilistic estimates of cluster assignments and uncertainty, they are prone to misspecification, which can lead to…

Statistics Theory · Mathematics 2026-05-15 Yu Zheng , Leo L. Duan , Arkaprava Roy

We present a federated learning approach for Bayesian model-based clustering of large-scale binary and categorical datasets. We introduce a principled 'divide and conquer' inference procedure using variational inference with local merge and…

Machine Learning · Statistics 2025-11-13 Jackie Rao , Francesca L. Crowe , Tom Marshall , Sylvia Richardson , Paul D. W. Kirk

In the hierarchical structure formation model, clusters of galaxies form through a sequence of mergers and continuous mass accretion, which generate significant random gas motions especially in their outskirts where material is actively…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Daisuke Nagai , Erwin T. Lau , Camille Avestruz , Kaylea Nelson , Douglas H. Rudd

We present a new two-fluid conduction scheme to simulate the evolution of an isolated, self-gravitating, equilibrium cluster of stars and collisionless dark matter on secular (gravothermal) timescales. We integrate the equations in…

Astrophysics of Galaxies · Physics 2025-07-24 Yi-Ming Zhong , Stuart L. Shapiro

A model-based approach is developed for clustering categorical data with no natural ordering. The proposed method exploits the Hamming distance to define a family of probability mass functions to model the data. The elements of this family…

Methodology · Statistics 2024-07-02 Raffaele Argiento , Edoardo Filippi-Mazzola , Lucia Paci

We introduce a fast and explainable clustering method called CLASSIX. It consists of two phases, namely a greedy aggregation phase of the sorted data into groups of nearby data points, followed by the merging of groups into clusters. The…

Machine Learning · Computer Science 2024-02-16 Xinye Chen , Stefan Güttel

We present a modern machine learning approach for cluster dynamical mass measurements that is a factor of two improvement over using a conventional scaling relation. Different methods are tested against a mock cluster catalog constructed…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-15 Michelle Ntampaka , Hy Trac , Danica J. Sutherland , Nicholas Battaglia , Barnabas Poczos , Jeff Schneider

The large number of galaxies imaged by digital sky surveys reinforces the need for computational methods for analyzing galaxy morphology. While the morphology of most galaxies can be associated with a stage on the Hubble sequence,…

Instrumentation and Methods for Astrophysics · Physics 2013-09-17 Lior Shamir , Anthony Holincheck , John Wallin

Improving the theoretical description of galaxy clustering on small scales is an important challenge in cosmology, as it can considerably increase the scientific return of forthcoming galaxy surveys -- e.g. tightening the bounds on neutrino…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-06 Marcos Pellejero-Ibanez , Jens Stuecker , Raul E. Angulo , Matteo Zennaro , Sergio Contreras , Giovanni Arico

In this paper we present the results of two detailed N-body simulations of the interaction of a sample of four massive globular clusters in the inner region of a triaxial galaxy. A full merging of the clusters takes place, leading to a…

Astrophysics · Physics 2009-11-13 R. Capuzzo-Dolcetta , P. Miocchi

This paper uses Gaussian mixture model instead of linear Gaussian model to fit the distribution of every node in Bayesian network. We will explain why and how we use Gaussian mixture models in Bayesian network. Meanwhile we propose a new…

Machine Learning · Statistics 2022-05-17 Yiran Dong , Chuanhou Gao

Planet formation simulations are capable of directly integrating the evolution of hundreds to thousands of planetary embryos and planetesimals, as they accrete pairwise to become planets. In principle such investigations allow us to better…

Earth and Planetary Astrophysics · Physics 2019-08-01 Saverio Cambioni , Erik Asphaug , Alexandre Emsenhuber , Travis S. J. Gabriel , Roberto Furfaro , Stephen R. Schwartz

It is still a challenge to assess the merger fraction of galaxies at different cosmic epochs in order to probe the evolution of their mass assembly. Using the Illustris cosmological simulations, we investigate the relation between the…

Astrophysics of Galaxies · Physics 2019-10-30 E. Ventou , T. Contini , N. Bouché , B. Epinat , J. Brinchmann , H. Inami , J. Richard , I. Schroetter , G. Soucail , M. Steinmetz , P. Weilbacher

Convincing evidence of a past interaction between two rich clusters A399 and A401 was recently found by the X-ray imaging observations. In this paper we examine the structure and dynamics of this pair of galaxy clusters. A mixture-modeling…

Astrophysics · Physics 2009-11-10 Qirong Yuan , Pengfei Yan , Yanbin Yang , Xu Zhou

Brightest Cluster Galaxies (BCGs) might have been assembled relatively late (z<1) via mergers. By exploiting the high-resolution HST/ACS imaging, we find four BCGs (COSMOS-P 125516, 102810, 036694 and 089357) in major dry merging in 29…

Astrophysics of Galaxies · Physics 2015-06-23 F. S. Liu , F. J. Lei , X. M. Meng , D. F. Jiang

We present a first analysis of the clustering of SDSS galaxies using the distribution function of the sum of Fourier phases. This statistic was recently proposed by one of authors as a new method to probe phase correlations of cosmological…

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

Galaxy clusters are known to be reservoirs of Cosmic Rays (CRs), as inferred from theoretical calculations or detection of CR-derived observables. CR acceleration in clusters is mostly attributed to the dynamical activity that produces…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-05 Reju Sam John , Surajit Paul , Luigi Iapichino , Karl Mannheim , Harish Kumar

The high end of the stellar mass function of galaxies is observed to have little evolution since z~1. This represents a stringent constraint for merger--based models, aimed at explaining the evolution of the most massive galaxies in the…

Astrophysics · Physics 2009-11-11 Pierluigi Monaco , Giuseppe Murante , Stefano Borgani , Fabio Fontanot

This paper proposes a generalization of Gaussian mixture models, where the mixture weight is allowed to behave as an unknown function of time. This model is capable of successfully capturing the features of the data, as demonstrated by…

Methodology · Statistics 2022-09-09 Michel H. Montoril , Leandro T. Correia , Helio S. Migon
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