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The covariance matrices of power-spectrum (P(k)) measurements from galaxy surveys are difficult to compute theoretically. The current best practice is to estimate covariance matrices by computing a sample covariance of a large number of…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-03 David W. Pearson , Lado Samushia

Understanding the structure of our universe and the distribution of matter is an area of active research. As cosmological surveys grow in complexity, the development of emulators to efficiently and effectively predict matter power spectra…

Applications · Statistics 2025-07-28 Stephen A. Walsh , Annie S. Booth , David Higdon , Jared Clark , Kelly R. Moran , Katrin Heitmann

The clustering of matter on cosmological scales is an essential probe for studying the physical origin and composition of our Universe. To date, most of the direct studies have focused on shear-shear weak lensing correlations, but it is…

Cosmology and Nongalactic Astrophysics · Physics 2010-07-26 Tobias Baldauf , Robert E. Smith , Uros Seljak , Rachel Mandelbaum

Variational approximation methods have proven to be useful for scaling Bayesian computations to large data sets and highly parametrized models. Applying variational methods involves solving an optimization problem, and recent research in…

Methodology · Statistics 2017-01-13 Victor M. -H. Ong , David J. Nott , Michael S. Smith

We explore the joint weak lensing and galaxy clustering analysis from the photometric survey operated by the China Space Station Telescope (CSST), and study the strength of the cosmological constraints. We employ a high-resolution…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-10 Qi Xiong , Yan Gong , Xingchen Zhou , Hengjie Lin , Furen Deng , Ziwei Li , Ayodeji Ibitoye , Xuelei Chen , Zuhui Fan , Qi Guo , Ming Li , Yun Liu , Wenxiang Pei

Weak-lensing searches for galaxy clusters are plagued by low completeness and purity, severely limiting their usefulness for constraining cosmological parameters with the cluster mass function. A significant fraction of `false positives'…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 J. P. Dietrich , J. Hartlap

Forthcoming galaxy surveys will provide measurements of galaxy clustering with an unprecedented level of precision, that will require comparably good accuracy. Current models for galaxy correlations rely on approximations and idealizations…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-26 Alvise Raccanelli , Zvonimir Vlah

We compute covariance matrices for many observed estimates of the stellar mass function of galaxies from $z=0$ to $z\approx 4$, and for one estimate of the projected correlation function of galaxies split by stellar mass at $z\lesssim 0.5$.…

Astrophysics of Galaxies · Physics 2018-10-17 Andrew J. Benson

It was recently shown that applying a Gaussianizing transform, such as a logarithm, to the nonlinear matter density field extends the range of useful applicability of the power spectrum by a factor of a few smaller. Such a transform…

Cosmology and Nongalactic Astrophysics · Physics 2011-11-15 Mark C. Neyrinck

Interest rises to exploit the full shape information of the galaxy power spectrum, as well as pushing analyses to smaller non-linear scales. Here I use the halo model to quantify the information content in the tomographic angular power…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-04 Fabien Lacasa

We cross correlate the gravitational lensing map extracted from cosmic microwave background measurements by the Wilkinson Microwave Anisotropy Probe (WMAP) with the radio galaxy distribution from the NRAO VLA Sky Survey (NVSS) by using a…

Cosmology and Nongalactic Astrophysics · Physics 2012-09-24 Chang Feng , Grigor Aslanyan , Aneesh V. Manohar , Brian Keating , Hans P. Paar , Oliver Zahn

Photometric galaxy surveys probe the late-time Universe where the density field is highly non-Gaussian. A consequence is the emergence of the super-sample covariance (SSC), a non-Gaussian covariance term that is sensitive to fluctuations on…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-23 S. Gouyou Beauchamps , F. Lacasa , I. Tutusaus , M. Aubert , P. Baratta , A. Gorce , Z. Sakr

Cosmological large-scale structure analyses based on two-point correlation functions often assume a Gaussian likelihood function with a fixed covariance matrix. We study the impact on cosmological parameter estimation of ignoring the…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-21 Darsh Kodwani , David Alonso , Pedro Ferreira

We present a new method that deals with the uncertainty in matter-clustering in cosmic shear power spectrum analysis that arises mainly due to poorly understood nonlinear baryonic processes on small-scales. We show that the majority of…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 T. D. Kitching , A. N. Taylor

Stage-IV galaxy surveys will measure correlations at small cosmological scales with high signal-to-noise ratio. One of the main challenges of extracting information from small scales is devising accurate models, as well as characterizing…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-20 Abdias Aires , Nickolas Kokron , Rogerio Rosenfeld , Felipe Andrade-Oliveira , Vivian Miranda

We present growth of structure constraints from the cosmological analysis of the power spectrum multipoles of SDSS-III BOSS DR12 galaxies. We use the galaxy power spectrum model of Hand et al. (2017), which decomposes the galaxies into halo…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-03 Byeonghee Yu , Uros Seljak , Yin Li , Sukhdeep Singh

We measure the covariance of the non-linear matter power spectrum from N-body simulations using two methods. In the first case, the covariance of power is estimated from the scatter over many random realizations of the density field. In the…

Astrophysics · Physics 2009-11-11 C. D. Rimes , A. J. S. Hamilton

Cosmic microwave background studies of non-Gaussianity involving higher-order multispectra can distinguish between early universe theories that predict nearly identical power spectra. However, the recovery of higher-order multispectra is…

Cosmology and Nongalactic Astrophysics · Physics 2011-07-26 Dipak Munshi , Alan Heavens , Asantha Cooray , Joseph Smidt , Peter Coles , Paolo Serra

We use available measurements to estimate the unknown parameters (variance, smoothness parameter, and covariance length) of a covariance function by maximizing the joint Gaussian log-likelihood function. To overcome cubic complexity in the…

Computation · Statistics 2018-09-13 Alexander Litvinenko , Ying Sun , Marc G. Genton , David Keyes

One of the most powerful cosmological datasets when it comes to constraining neutrino masses is represented by galaxy power spectrum measurements, $P_{gg}(k)$. The constraining power of $P_{gg}(k)$ is however severely limited by…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-18 Elena Giusarma , Sunny Vagnozzi , Shirley Ho , Simone Ferraro , Katherine Freese , Rocky Kamen-Rubio , Kam-Biu Luk