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Non-Gaussian statistics of the projected weak lensing field are powerful estimators that can outperform the constraining power of the two-point functions in inferring cosmological parameters. This is because these estimators extract the…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-31 Daniela Grandón , Elena Sellentin

The process of density field reconstruction enhances the statistical power of distance scale measurements using baryon acoustic oscillations (BAO). During this process a fiducial cosmology is assumed in order to convert sky coordinates and…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-27 Blake D. Sherwin , Martin White

We assess the detectability of baryonic acoustic oscillations (BAO) in the power spectrum of galaxies using ultra large volume N-body simulations of the hierarchical clustering of dark matter and semi-analytical modelling of galaxy…

Astrophysics · Physics 2008-11-26 R. Angulo , C. M. Baugh , C. S. Frenk , C. G. Lacey

We study the sample variance of the matter power spectrum for the standard Lambda Cold Dark Matter universe. We use a total of 5000 cosmological N-body simulations to study in detail the distribution of best-fit cosmological parameters and…

Accurate parameter estimation is key to maximizing the scientific impact of gravitational-wave astronomy. Parameters of a binary merger are typically estimated using Bayesian inference. It is necessary to make several assumptions when doing…

General Relativity and Quantum Cosmology · Physics 2021-06-11 Suman Kulkarni , Collin D. Capano

The use of the baryonic acoustic oscillations (BAO) datasets offers a unique opportunity to connect the early universe and the late one. In this proceeding, we discuss recent results that used a marginalised likelihood to remove the…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-21 Denitsa Staicova

We develop methods for investigating baryon acoustic oscillation (BAO) features in cosmological models with non-trivial (but slowly varying) averaged spatial curvature: models that are not necessarily flat, close to flat, nor with constant…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-06 Asta Heinesen , Chris Blake , Yong-Zhuang Li , David L. Wiltshire

We investigate the potential of large X-ray-selected AGN samples for detecting baryonic acoustic oscillations (BAO). Though AGN selection in X-ray band is very clean and efficient, it does not provide redshift information, and thus needs to…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-07 Gert Hütsi , Marat Gilfanov , Alexander Kolodzig , Rashid Sunyaev

In this study we show that the skewness S_3 of the cosmic density field contains a significant and potentially detectable and clean imprint of Baryonic Acoustic Oscillations. Although the BAO signal in the skewness has a lower amplitude…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-20 Roman Juszkiewicz , Wojciech A. Hellwing , Rien van de Weygaert

Bayesian models often involve a small set of hyperparameters determined by maximizing the marginal likelihood. Bayesian optimization is a popular iterative method where a Gaussian process posterior of the underlying function is sequentially…

Computation · Statistics 2022-08-18 Oskar Gustafsson , Mattias Villani , Pär Stockhammar

The spatial distribution of galaxies is a highly complex phenomenon currently impossible to predict deterministically. However, by using a statistical $\textit{bias}$ relation, it becomes possible to robustly model the average abundance of…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-09 Jens Stücker , Marcos Pellejero-Ibáñez , Raul E. Angulo , Francisco Maion , Rodrigo Voivodic

The third-generation (3G) gravitational wave (GW) detectors such as the Einstein telescope (ET) or Cosmic Explorer (CE) are expected to play an important role in cosmology. With the help of 3G detectors, we will be able to probe large-scale…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-06 Sumit Kumar

In this paper, we present a method for computing the marginal likelihood, also known as the model likelihood or Bayesian evidence, from Markov Chain Monte Carlo (MCMC), or other sampled posterior distributions. In order to do this, one…

Laplace approximation is a very useful tool in Bayesian inference and it claims a nearly Gaussian behavior of the posterior. \cite{SpLaplace2022} established some rather accurate finite sample results about the quality of Laplace…

Statistics Theory · Mathematics 2023-05-17 Vladimir Spokoiny

How do we compare between hypotheses that are entirely consistent with observations? The marginal likelihood (aka Bayesian evidence), which represents the probability of generating our observations from a prior, provides a distinctive…

Machine Learning · Computer Science 2023-05-03 Sanae Lotfi , Pavel Izmailov , Gregory Benton , Micah Goldblum , Andrew Gordon Wilson

The baryon acoustic oscillation (BAO) feature in the distribution of galaxies has been widely studied as an excellent standard ruler for probing cosmic distances and expansion history, and hence dark energy. In contrast, the amplitude of…

Cosmology and Nongalactic Astrophysics · Physics 2014-02-20 Will Sutherland , Lukasz Mularczyk

We present results from fitting the baryon acoustic oscillation (BAO) signal in the correlation function obtained from the first application of reconstruction to a galaxy redshift survey, namely, the Sloan Digital Sky Survey (SDSS) Data…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Xiaoying Xu , Nikhil Padmanabhan , Daniel J. Eisenstein , Kushal T. Mehta , Antonio J. Cuesta

The baryon acoustic oscillation (BAO) feature in the clustering of matter in the universe serves as a robust standard ruler and hence can be used to map the expansion history of the universe. We use high force resolution simulations to…

Cosmology and Nongalactic Astrophysics · Physics 2011-06-07 Kushal T. Mehta , Hee-Jong Seo , Jonathan Eckel , Daniel J. Eisenstein , Marc Metchnik , Philip Pinto , Xiaoying Xu

Band-power estimates of cosmic microwave background fluctuations are now routinely used to place constraints on cosmological parameters. For this to be done in a rigorous fashion, the full likelihood function of band-power estimates must be…

Astrophysics · Physics 2011-05-23 J. G. Bartlett , M. Douspis , A. Blanchard , M. Le Dour