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Reliable extraction of cosmological information from clustering measurements of galaxy surveys requires estimation of the error covariance matrices of observables. The accuracy of covariance matrices is limited by our ability to generate…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-29 Mohammadjavad Vakili , Francisco-Shu Kitaura , Yu Feng , Gustavo Yepes , Cheng Zhao , Chia-Hsun Chuang , ChangHoon Hahn

In this paper we explore a quantitative and efficient method to constrain the halo properties of distant galaxy populations through ``galaxy--galaxy" lensing and show that the mean masses and sizes of halos can be estimated accurately,…

Astrophysics · Physics 2009-10-28 Peter Schneider , Hans-Walter Rix

We believe that a wide range of physical processes conspire to shape the observed galaxy population but we remain unsure of their detailed interactions. The semi-analytic model (SAM) of galaxy formation uses multi-dimensional…

Cosmology and Nongalactic Astrophysics · Physics 2011-11-07 Yu Lu , H. J. Mo , Martin D. Weinberg , Neal Katz

In this paper we consider the issue of paradigm evaluation by applying Bayes' theorem along the following nested hierarchy of progressively more complex structures: i) parameter estimation (within a model), ii) model selection and…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-02 Giulia Gubitosi , Macarena Lagos , Joao Magueijo , Rupert Allison

Current models of galaxy evolution are constrained by the analysis of catalogs containing the flux and size of galaxies extracted from multiband deep fields carrying inevitable observational and extraction-related biases which can be highly…

Astrophysics of Galaxies · Physics 2022-08-30 Florian Livet , Tom Charnock , Damien Le Borgne , Valérie de Lapparent

We advocate for a new paradigm of cosmological likelihood-based inference, leveraging recent developments in machine learning and its underlying technology, to accelerate Bayesian inference in high-dimensional settings. Specifically, we…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-06 Davide Piras , Alicja Polanska , Alessio Spurio Mancini , Matthew A. Price , Jason D. McEwen

Weak gravitational lensing is one of the few direct methods to map the dark-matter distribution on large scales in the Universe, and to estimate cosmological parameters. We study a Bayesian inference problem where the data covariance…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-01 Martin Kilbinger , Emille E. O. Ishida , Jessi Cisewski-Kehe

The interpretation of cosmological observables requires the use of increasingly sophisticated theoretical models. Since these models are becoming computationally very expensive and display non-trivial uncertainties, the use of standard…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-14 Marcos Pellejero-Ibañez , Raul E. Angulo , Giovanni Aricó , Matteo Zennaro , Sergio Contreras , Jens Stücker

We revise the Bayesian inference steps required to analyse the cosmological large-scale structure. Here we make special emphasis in the complications which arise due to the non-Gaussian character of the galaxy and matter distribution. In…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Francisco-Shu Kitaura

Many statistical models can be simulated forwards but have intractable likelihoods. Approximate Bayesian Computation (ABC) methods are used to infer properties of these models from data. Traditionally these methods approximate the posterior…

Machine Learning · Statistics 2018-04-03 George Papamakarios , Iain Murray

In the theory of structure formation, galaxies are biased tracers of the underlying matter density field. The statistical relation between galaxy and matter density field is commonly referred as galaxy bias. In this paper, we test the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Eric Jullo , Jason Rhodes , Alina Kiessling , James E. Taylor , Richard Massey , Joel Berge , Carlo Schimd , Jean-Paul Kneib , Nick Scoville

We study the co-evolution of dark matter halos, galaxies and supermassive black holes using an empirical galaxy evolution model from $z=0$ -- $10$. We demonstrate that by connecting dark matter structure evolution with simple empirical…

Astrophysics of Galaxies · Physics 2024-12-20 Christopher Boettner , Maxime Trebitsch , Pratika Dayal

Estimating copulas with discrete marginal distributions is challenging, especially in high dimensions, because computing the likelihood contribution of each observation requires evaluating $2^{J}$ terms, with $J$ the number of discrete…

Methodology · Statistics 2018-11-12 D. Gunawan , M. -N. Tran , K. Suzuki , J. Dick , R. Kohn

Accurate analyses of present and next-generation galaxy surveys require new ways to handle effects of non-linear gravitational structure formation in data. To address these needs we present an extension of our previously developed algorithm…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-15 Jens Jasche , Guilhem Lavaux

The forthcoming generation of galaxy redshift surveys will sample the large-scale structure of the Universe over unprecedented volumes with high-density tracers. This advancement will make robust measurements of three-point clustering…

Cosmology and Nongalactic Astrophysics · Physics 2020-05-29 Andrea Oddo , Emiliano Sefusatti , Cristiano Porciani , Pierluigi Monaco , Ariel G. Sánchez

We derive and implement a full Bayesian large scale structure inference method aiming at precision recovery of the cosmological power spectrum from galaxy redshift surveys. Our approach improves over previous Bayesian methods by performing…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Jens Jasche , Benjamin D. Wandelt

Bayesian inference is often used in cosmology and astrophysics to derive constraints on model parameters from observations. This approach relies on the ability to compute the likelihood of the data given a choice of model parameters. In…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-16 Joel Akeret , Alexandre Refregier , Adam Amara , Sebastian Seehars , Caspar Hasner

Bayesian methods for learning Gaussian graphical models offer a principled framework for quantifying model uncertainty and incorporating prior knowledge. However, their scalability is constrained by the computational cost of jointly…

Methodology · Statistics 2025-08-28 Reza Mohammadi , Marit Schoonhoven , Lucas Vogels , S. Ilker Birbil

We extend current models of the halo occupation distribution (HOD) to include a flexible, empirical framework for the forward modeling of the intrinsic alignment (IA) of galaxies. A primary goal of this work is to produce mock galaxy…

A key quantity of interest in Bayesian inference are expectations of functions with respect to a posterior distribution. Markov Chain Monte Carlo is a fundamental tool to consistently compute these expectations via averaging samples drawn…

Machine Learning · Statistics 2015-02-10 Heiko Strathmann , Dino Sejdinovic , Mark Girolami