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Related papers: Failures of Halofit model for computation of Fishe…

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Based on a suite of state-of-the-art high-resolution $N$-body simulations, we revisit the so-called halofit model (Smith et al. 2003) as an accurate fitting formula for the nonlinear matter power spectrum. While the halofit model has been…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Ryuichi Takahashi , Masanori Sato , Takahiro Nishimichi , Atsushi Taruya , Masamune Oguri

We present a comparison of Fisher matrix forecasts for cosmological probes with Monte Carlo Markov Chain (MCMC) posterior likelihood estimation methods. We analyse the performance of future Dark Energy Task Force (DETF) stage-III and stage-…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Laura Wolz , Martin Kilbinger , Jochen Weller , Tommaso Giannantonio

We present an optimized variant of the halo model, designed to produce accurate matter power spectra well into the non-linear regime for a wide range of cosmological models. To do this, we introduce physically motivated free parameters into…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-11 Alexander Mead , John Peacock , Catherine Heymans , Shahab Joudaki , Alan Heavens

The planning and design of future experiments rely heavily on forecasting to assess the potential scientific value provided by a hypothetical set of measurements. The Fisher information matrix, due to its convenient properties and low…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-10 Joseph Ryan , Brandon Stevenson , Cynthia Trendafilova , Joel Meyers

We perform detailed comparison of the semi-analytic halo model predictions with measurements in numerical simulations of the two and three point correlation functions (3PCF), as well as power spectrum and bispectrum. We discuss the accuracy…

Astrophysics · Physics 2009-11-11 Pablo Fosalba , Jun Pan , Istvan Szapudi , .

Rapid and accurate evaluation of the nonlinear matter power spectrum, $P(k)$, as a function of cosmological parameters and redshift is of fundamental importance in cosmology. Analytic approximations provide an interpretable solution, yet…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-24 Deaglan J. Bartlett , Benjamin D. Wandelt , Matteo Zennaro , Pedro G. Ferreira , Harry Desmond

Fisher Information Matrix methods are commonly used in cosmology to estimate the accuracy that cosmological parameters can be measured with a given experiment, and to optimise the design of experiments. However, the standard approach…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 A. Kiessling , A. N. Taylor , A. F. Heavens

We re-examine a genuine power of weak lensing bispectrum tomography for constraining cosmological parameters, when combined with the power spectrum tomography, based on the Fisher information matrix formalism. To account for the full…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-21 Issha Kayo , Masahiro Takada

We study the information content of summary statistics built from the multi-scale topology of large-scale structures on primordial non-Gaussianity of the local and equilateral type. We use halo catalogs generated from numerical N-body…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-05 Matteo Biagetti , Juan Calles , Lina Castiblanco , Alex Cole , Jorge Noreña

We investigate the cosmological Fisher information in the non-linear dark-matter power spectrum in the context of the halo model. We find that there is a plateau in information content on translinear scales which is generic to all…

Astrophysics · Physics 2016-08-15 Mark C. Neyrinck , István Szapudi

Forecasting cosmological constraints from halo-based statistics often suffers from instability in derivative estimates, especially when the number of simulations is limited. This instability reduces the reliability of Fisher forecasts and…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-06 Saee Dhawalikar , Aseem Paranjape , Shadab Alam

Forecasts in cosmology, both with Monte-Carlo Markov-chain methods and with the Fisher matrix formalism, depend on the choice of the fiducial model because both the signal strength of any observable as well as the model nonlinearities…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-01 Björn Malte Schäfer , Robert Reischke

The weak lensing power spectrum carries cosmological information via its dependence on the growth of structure and on geometric factors. Since much of the cosmological information comes from scales affected by nonlinear clustering,…

Astrophysics · Physics 2010-11-02 Masahiro Takada , Bhuvnesh Jain

We study forecasts for the accuracy of the determination of cosmological parameters from future large scale photometric surveys obtained using the full shape of the 2-point galaxy angular correlation function. The effects of linear…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 F. Sobreira , F. de Simoni , R. Rosenfeld , L. A. N. da Costa , M. A. G. Maia , M. Makler

The Fisher-matrix formalism is used routinely in the literature on gravitational-wave detection to characterize the parameter-estimation performance of gravitational-wave measurements, given parametrized models of the waveforms, and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Michele Vallisneri

We present $\texttt{matryoshka}$, a suite of neural network based emulators and accompanying Python package that have been developed with the goal of producing fast and accurate predictions of the nonlinear galaxy power spectrum. The suite…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-08 Jamie Donald-McCann , Florian Beutler , Kazuya Koyama , Minas Karamanis

The Fisher information matrix is a quantity of fundamental importance for information geometry and asymptotic statistics. In practice, it is widely used to quickly estimate the expected information available in a data set and guide…

Methodology · Statistics 2023-06-06 William R. Coulton , Benjamin D. Wandelt

We present an updated version of the HMcode augmented halo model that can be used to make accurate predictions of the non-linear matter power spectrum over a wide range of cosmologies. Major improvements include modelling of BAO damping in…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-27 Alexander Mead , Samuel Brieden , Tilman Tröster , Catherine Heymans

The Fisher Information matrix is a widely used measure for applications ranging from statistical inference, information geometry, experiment design, to the study of criticality in biological systems. Yet there is no commonly accepted…

Computation · Statistics 2016-02-17 Omri Har Shemesh , Rick Quax , Borja Miñano , Alfons G. Hoekstra , Peter M. A. Sloot

The abundance of dark matter haloes is a key cosmological probe in forthcoming galaxy surveys. The theoretical understanding of the halo mass function (HMF) is limited by our incomplete knowledge of the origin of non-universality and its…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-05 Ningyuan Guo , Luisa Lucie-Smith , Hiranya V. Peiris , Andrew Pontzen , Davide Piras
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