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Related papers: Weak Separation, Pure Domains and Cluster Distance

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Neural network-based clustering has recently gained popularity, and in particular a constrained clustering formulation has been proposed to perform transfer learning and image category discovery using deep learning. The core idea is to…

Computer Vision and Pattern Recognition · Computer Science 2018-06-29 Yen-Chang Hsu , Zhaoyang Lv , Joel Schlosser , Phillip Odom , Zsolt Kira

We investigate the expected cosmological constraints from a combination of weak lensing and large-scale galaxy clustering using realistic redshift distributions. Introducing a systematic bias in the weak lensing redshift distributions (of…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-15 S Samuroff , MA Troxel , SL Bridle , J Zuntz , N MacCrann , E Krause , T Eifler , D Kirk

Intrinsic variations of the projected density profiles of clusters of galaxies at fixed mass are a source of uncertainty for cluster weak lensing. We present a semi-analytical model to account for this effect, based on a combination of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 D. Gruen , S. Seitz , M. R. Becker , O. Friedrich , A. Mana

Scaling relations of clusters have made them particularly important cosmological probes of structure formation. In this work, we present a comprehensive study of the relation between two profile observables, concentration…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-23 Austen M. Groener , David M. Goldberg , Mauro Sereno

A subset $A$ of an abelian group $G$ is sequenceable if there is an ordering $(a_1, \ldots, a_k)$ of its elements such that the partial sums $(s_0, s_1, \ldots, s_k)$, given by $s_0 = 0$ and $s_i = \sum_{j=1}^i a_i$ for $1 \leq i \leq k$,…

Combinatorics · Mathematics 2022-05-25 Simone Costa , Stefano Della Fiore

We propose a novel approach to the problem of multilevel clustering, which aims to simultaneously partition data in each group and discover grouping patterns among groups in a potentially large hierarchically structured corpus of data. Our…

Machine Learning · Statistics 2021-05-26 Viet Huynh , Nhat Ho , Nhan Dam , XuanLong Nguyen , Mikhail Yurochkin , Hung Bui , and Dinh Phung

Determining star cluster distances is essential to analyse their properties and distribution in the Galaxy. In particular it is desirable to have a reliable, purely photometric distance estimation method for large samples of newly…

Astrophysics of Galaxies · Physics 2015-06-17 Anne S. M. Buckner , Dirk Froebrich

We constrain the Chameleon \textit{screening} mechanism in galaxy clusters, essentially obtaining limits on the coupling strength $\beta$ and the asymptotic value of the field $\phi_{\infty}$. For this purpose, we utilized a collection of…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-16 Yacer Boumechta , Balakrishna S. Haridasu , Lorenzo Pizzuti , Minahil Adil Butt , Carlo Baccigalupi , Andrea Lapi

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

Given a point set S and an unknown metric d on S, we study the problem of efficiently partitioning S into k clusters while querying few distances between the points. In our model we assume that we have access to one versus all queries that…

Machine Learning · Computer Science 2014-08-12 Konstantin Voevodski , Maria-Florina Balcan , Heiko Roglin , Shang-Hua Teng , Yu Xia

We consider a sample of about 50 distant galaxy clusters at z>0.15 (<z> about 0.3), each cluster having at least 10 galaxies with available redshift in the literature. We select member galaxies, analyze the velocity dispersion profiles, and…

Astrophysics · Physics 2007-05-23 M. Girardi , M. Mezzetti , A. Devetak

Using experiments and simulations, we investigate the clusters that form when colloidal spheres stick irreversibly to -- or "park" on -- smaller spheres. We use either oppositely charged particles or particles labeled with complementary DNA…

Based on the ROSAT All-Sky Survey we are constructing a sample of the X-ray brightest galaxy clusters for cosmological studies. We have already completed the compilation of a sample of about 1000 clusters in the sky excluding a 40 degree…

Astrophysics · Physics 2007-05-23 H. Boehringer , P. Schuecker , S. Komossa , J. Retzlaff , T. H. Reiprich , W. Voges

We present results of a weak gravitational lensing survey of six X-ray selected high-redshift clusters of galaxies. We find that the masses of the clusters derived from weak lensing are comparable to those derived from the X-ray…

Astrophysics · Physics 2007-05-23 D. Clowe , G. Luppino , N. Kaiser , I. Gioia

Clustering is often a challenging problem because of the inherent ambiguity in what the "correct" clustering should be. Even when the number of clusters $K$ is known, this ambiguity often still exists, particularly when there is variation…

Information Theory · Computer Science 2025-05-09 Kayvon Mazooji , Ilan Shomorony

Categorical attributes with qualitative values are ubiquitous in cluster analysis of real datasets. Unlike the Euclidean distance of numerical attributes, the categorical attributes lack well-defined relationships of their possible values…

Machine Learning · Computer Science 2025-11-13 Mingjie Zhao , Zhanpei Huang , Yang Lu , Mengke Li , Yiqun Zhang , Weifeng Su , Yiu-ming Cheung

Clustering is a data analysis method for extracting knowledge by discovering groups of data called clusters. Among these methods, state-of-the-art density-based clustering methods have proven to be effective for arbitrary-shaped clusters.…

Machine Learning · Computer Science 2023-10-26 Nabil El Malki , Robin Cugny , Olivier Teste , Franck Ravat

Classical multidimensional scaling is an important dimension reduction technique. Yet few theoretical results characterizing its statistical performance exist. This paper provides a theoretical framework for analyzing the quality of…

Statistics Theory · Mathematics 2020-07-09 Anna Little , Yuying Xie , Qiang Sun

There are various cluster validity indices used for evaluating clustering results. One of the main objectives of using these indices is to seek the optimal unknown number of clusters. Some indices work well for clusters with different…

Machine Learning · Statistics 2024-01-09 Nathakhun Wiroonsri

Weak gravitational lensing is considered to be one of the most powerful tools to study the mass and the mass distribution of galaxy clusters. However, the mass-sheet degeneracy transformation has limited its success. We present a novel…

Astrophysics · Physics 2007-05-23 M. Bradac , P. Schneider , M. Lombardi , T. Erben