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Rank-2 tensor fields of large-scale structure, e.g. a tensor field inferred from shapes of galaxies, open up a window to directly access 2-scalar, 2-vector and 2-tensor modes, where the scalar fields can be measured independently from the…

宇宙学与河外天体物理 · 物理学 2022-06-13 Toshiki Kurita , Masahiro Takada

Starting from a Cluster Variational Method, and inspired by the correctness of the paramagnetic Ansatz (at high temperatures in general, and at any temperature in the 2D Edwards-Anderson model) we propose a novel message passing algorithm…

无序系统与神经网络 · 物理学 2011-12-26 Alejandro Lage-Castellanos , Roberto Mulet , Federico Ricci-Tersenghi , Tommaso Rizzo

We use a recently derived diagrammatic formulation of the dynamics of interacting Brownian particles [G. Szamel, J. Chem. Phys. 127, 084515 (2007)] to study a four-point dynamic density correlation function. We re-sum a class of diagrams…

统计力学 · 物理学 2009-11-13 Grzegorz Szamel

We present a novel technique for calculating the two-point autocorrelation function of the Lyman-alpha forest based on the relation between the two-point correlation function and the Neighbor Probability Distribution Functions. The…

天体物理学 · 物理学 2009-10-28 Avery Meiksin , Francois R. Bouchet

This article provides a method for quick computation of galaxy two-point correlation function(2pCF) from redshift surveys using python. One of the salient features of this approach is that it can be used for calculating galaxy clustering…

宇宙学与河外天体物理 · 物理学 2017-11-09 Yeluripati Rohin

We present results of searching for the possible typical scales in the spatial distribution of QSOs. Our method is based on the second derivative of the two-point correlation function. This statistic is sensitive to the scale of the maximum…

天体物理学 · 物理学 2009-10-22 Zugan Deng , Xiaoyang Xia , Li-Zhi Fang

Weak gravitational lensing is a powerful probe for constraining cosmological parameters, but its success relies on accurate shear measurements. In this paper, we use image simulations to investigate how a joint analysis of high-resolution…

宇宙学与河外天体物理 · 物理学 2025-10-22 Shiyang Zhang , Shun-Sheng Li , Henk Hoekstra

We report on the measurement of the two-point correlation function, and the pairwise peculiar velocity of galaxies in the IRAS PSCz survey. We compute these statistics first in redshift space, and then obtain the projected functions which…

天体物理学 · 物理学 2009-11-06 Y. P. Jing , G. Boerner , Yasushi Suto

We study and compare fitting methods for the Lyman-$\alpha$ (Ly$\alpha$) forest 3D correlation function. We use the nested sampler PolyChord and the community code picca to perform a Bayesian analysis which we compare with previous…

宇宙学与河外天体物理 · 物理学 2020-07-29 Andrei Cuceu , Andreu Font-Ribera , Benjamin Joachimi

Clustering functional data is a challenging task due to intrinsic infinite-dimensionality and the need for stable, data-adaptive partitioning. In this work, we propose a clustering framework based on Random Projections, which simultaneously…

统计方法学 · 统计学 2025-12-18 Matteo Mori , Laura Anderlucci

We present a new methodology to generate mock halo or galaxy catalogues, which have accurate clustering properties, nearly indistinguishable from full $N$-body solutions, in terms of the one-point, two-point, and three-point statistics. In…

宇宙学与河外天体物理 · 物理学 2017-08-08 Chia-Hsun Chuang , Francisco-Shu Kitaura , Francisco Prada , Cheng Zhao , Gustavo Yepes

Stereology allows shifting from the 3D distribution of the volumes of Poissonian Voronoi Diagrams to their 2D cross-sections. The basic assumption is that the 3D statistics of the volumes of the voids in the local Universe has a…

宇宙学与河外天体物理 · 物理学 2012-09-24 L. Zaninetti

The precision matrix that encodes conditional linear dependency relations among a set of variables forms an important object of interest in multivariate analysis. Sparse estimation procedures for precision matrices such as the graphical…

统计方法学 · 统计学 2023-03-09 Gaëtan Louvet , Jakob Raymaekers , Germain Van Bever , Ines Wilms

Studying the matter distribution in the universe through the Lyman-$\alpha$ forest allows us to constrain small-scale physics in the high-redshift regime. Spectroscopic quasar surveys are generating increasingly large datasets that require…

宇宙学与河外天体物理 · 物理学 2026-04-23 Josue De-Santiago , Rafael Gutiérrez-Balboa , Gustavo Niz , Alma X. González-Morales

The calculation of the characteristic function of the signal fluctuations due to clustered astrophysical sources is performed in this paper. For the typical case of power-law differential number counts and two-point angular correlation…

宇宙学与河外天体物理 · 物理学 2019-07-10 Francisco Argüeso , Diego Herranz , Luigi Toffolatti , Joaquín González-Nuevo

In this paper, we consider the problem of partitioning a small data sample of size $n$ drawn from a mixture of $2$ sub-gaussian distributions. Our work is motivated by the application of clustering individuals according to their population…

统计理论 · 数学 2023-01-05 Shuheng Zhou

This paper is concerned with the detection of multiple change-points in the joint distribution of independent categorical variables. The procedures introduced rely on model selection and are based on a penalized least-squares criterion.…

统计理论 · 数学 2008-01-08 Nathalie Akakpo

As a powerful tool for longitudinal data analysis, the generalized estimating equations have been widely studied in the academic community. However, in large-scale settings, this approach faces pronounced computational and storage…

统计计算 · 统计学 2025-08-29 Chunjing Li , Jiahui Zhang , Xiaohui Yuan

Palm distributions play a central role in the study of point processes and their associated summary statistics. In this paper, we characterize the Palm distributions of the superposition of independent point processes, establishing a simple…

统计理论 · 数学 2026-03-11 Mario Beraha , Federico Camerlenghi , Lorenzo Ghilotti

We consider the Rosenzweig-Porter model of random matrix which interpolates between Poisson and gaussian unitary statistics and compute exactly the two-point correlation function. Asymptotic formulas for this function are given near the…

凝聚态物理 · 物理学 2009-10-31 H. Kunz , B. Shapiro