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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…

宇宙学与河外天体物理 · 物理学 2016-07-01 Björn Malte Schäfer , Robert Reischke

We present a toolbox of new techniques and concepts for the efficient forecasting of experimental sensitivities. These are applicable to a large range of scenarios in (astro-)particle physics, and based on the Fisher information formalism.…

天体物理仪器与方法 · 物理学 2018-02-28 Thomas D. P. Edwards , Christoph Weniger

Given a standard model to test, an experiment can be designed to: (i) measure the standard model parameters; (ii) extend the standard model; or (iii) look for evidence of deviations from the standard model. To measure (or extend) the…

宇宙学与河外天体物理 · 物理学 2015-05-20 Adam Amara , Thomas Kitching

The next generation of weak lensing probes can place strong constraints on cosmological parameters by measuring the mass distribution and geometry of the low redshift universe. We show that a future all-sky tomographic cosmic shear survey…

宇宙学与河外天体物理 · 物理学 2015-06-17 Ivan Debono

We derive a Fisher matrix for the parameters characterising a population of gravitational-wave events. This provides a guide to the precision with which population parameters can be estimated with multiple observations, which becomes…

广义相对论与量子宇宙学 · 物理学 2022-12-14 Jonathan R. Gair , Andrea Antonelli , Riccardo Barbieri

Fisher-matrix methods are widely used to predict how accurately parameters can be estimated. Being computationally efficient, this approach is prompted by the large number of signals simulated in forecast studies for future…

广义相对论与量子宇宙学 · 物理学 2026-04-14 Ulyana Dupletsa , Jan Harms , Ken K. Y. Ng , Jacopo Tissino , Filippo Santoliquido , Andrea Cozzumbo

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-…

宇宙学与河外天体物理 · 物理学 2015-06-05 Laura Wolz , Martin Kilbinger , Jochen Weller , Tommaso Giannantonio

We assess the feasibility of probing dark energy with strong gravitational lensing systems. The capability of the method, which depends on the accuracy with which the lensing systems are modeled, is quantitatively investigated using the…

天体物理学 · 物理学 2009-11-07 Kazuhiro Yamamoto , Yasufum Kadoya , Tsukasa Murata , Toshifumi Futamase

Massive black hole binaries are the primary source of gravitational waves (GW) for the future eLISA observatory. The detection and parameter estimation of these sources to high redshift would provide invaluable information on the formation…

广义相对论与量子宇宙学 · 物理学 2015-05-27 Edward K. Porter , Neil J. Cornish

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…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Michele Vallisneri

In recent years forecasting activities have become a very important tool for designing and optimising large scale structure surveys. To predict the performance of such surveys, the Fisher matrix formalism is frequently used as a fast and…

宇宙学与河外天体物理 · 物理学 2021-05-12 S. Yahia-Cherif , A. Blanchard , S. Camera , S. Ilić , K. Markovič , A. Pourtsidou , Z. Sakr , D. Sapone , I. Tutusaus

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…

宇宙学与河外天体物理 · 物理学 2023-05-10 Joseph Ryan , Brandon Stevenson , Cynthia Trendafilova , Joel Meyers

Averaging the parameters of models that have the same architecture and initialization can provide a means of combining their respective capabilities. In this paper, we take the perspective that this "merging" operation can be seen as…

机器学习 · 计算机科学 2022-08-29 Michael Matena , Colin Raffel

The Fisher Information Matrix formalism is extended to cases where the data is divided into two parts (X,Y), where the expectation value of Y depends on X according to some theoretical model, and X and Y both have errors with arbitrary…

宇宙学与河外天体物理 · 物理学 2015-02-20 A. F. Heavens , M. Seikel , B. D. Nord , M. Aich , Y. Bouffanais , B. A. Bassett , M. P. Hobson

Forecasts of statistical constraints on model parameters using the Fisher matrix abound in many fields of astrophysics. The Fisher matrix formalism involves the assumption of Gaussianity in parameter space and hence fails to predict complex…

宇宙学与河外天体物理 · 物理学 2015-03-19 B. Joachimi , A. N. Taylor

Although Bayesian methods are robust and principled, their application in practice could be limited since they typically rely on computationally intensive Markov Chain Monte Carlo algorithms for their implementation. One possible solution…

统计计算 · 统计学 2015-10-06 Tian Chen , Jeffrey Streets , Babak Shahbaba

The Fisher matrix formalism has in recent times become the standard method for predicting the precision with which various cosmological parameters can be extracted from future data. This approach is fast, and generally returns accurate…

天体物理学 · 物理学 2009-11-11 Laurence Perotto , Julien Lesgourgues , Steen Hannestad , Huitzu Tu , Yvonne Y. Y. Wong

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…

统计方法学 · 统计学 2023-06-06 William R. Coulton , Benjamin D. Wandelt

Gravitational-wave astronomers often wish to characterize the expected parameter-estimation accuracy of future observations. The Fisher matrix provides a lower bound on the spread of the maximum-likelihood estimator across noise…

广义相对论与量子宇宙学 · 物理学 2011-11-08 Michele Vallisneri

We propose a method for estimating the Fisher score--the gradient of the log-likelihood with respect to model parameters--using score matching. By introducing a latent parameter model, we show that the Fisher score can be learned by…

宇宙学与河外天体物理 · 物理学 2025-07-11 Ce Sui , Shivam Pandey , Benjamin D. Wandelt
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