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The ability to compress observational data and accurately estimate physical parameters relies heavily on informative summary statistics. In this paper, we introduce the use of mutual information (MI) as a means of evaluating the quality of…

宇宙学与河外天体物理 · 物理学 2023-07-12 Ce Sui , Xiaosheng Zhao , Tao Jing , Yi Mao

Several cosmological measurements have attained significant levels of maturity and accuracy over the last decade. Continuing this trend, future observations promise measurements of the statistics of the cosmic mass distribution at an…

天体物理学 · 物理学 2008-11-26 Salman Habib , Katrin Heitmann , David Higdon , Charles Nakhleh , Brian Williams

Beyond the linear regime of structure formation, part of cosmological information encoded in galaxy clustering becomes inaccessible to the usual power spectrum. "Sufficient statistics", A*, were introduced recently to recapture the lost,…

宇宙学与河外天体物理 · 物理学 2015-09-30 M. Wolk , J. Carron , I. Szapudi

Assessing the quality of summarizers poses significant challenges. In response, we propose a novel task-oriented evaluation approach that assesses summarizers based on their capacity to produce summaries that are useful for downstream…

计算与语言 · 计算机科学 2024-08-15 Maxime Darrin , Philippe Formont , Jackie Chi Kit Cheung , Pablo Piantanida

It has become common to call this the "era of precision cosmology," and hence one rarely hears about the finiteness of the amount of information that is available for constraining cosmological parameters. Under the assumption that the…

宇宙学与河外天体物理 · 物理学 2016-04-20 Yin-Zhe Ma , Douglas Scott

How much cosmological information can we reliably extract from existing and upcoming large-scale structure observations? Many summary statistics fall short in describing the non-Gaussian nature of the late-time Universe in comparison to…

宇宙学与河外天体物理 · 物理学 2024-11-15 Kai Lehman , Sven Krippendorf , Jochen Weller , Klaus Dolag

We assess the accuracy with which Omega and Lambda can be measured by combining various types of upcoming experiments. Useful expressions for the Fisher information matrix are derived for classical cosmological tests involving luminosity…

天体物理学 · 物理学 2007-05-23 Max Tegmark , Daniel J. Eisenstein , Wayne Hu , Richard Kron

The tightest and most robust cosmological results of the next decade will be achieved by bringing together multiple surveys of the Universe. This endeavor has to happen across multiple layers of the data processing and analysis, e.g.,…

We extend field-level inference to jointly constrain the cosmological parameters $\{A,\omega_{\rm cdm},H_0\}$, in both real and redshift space. Our analyses are based on mock data generated using a perturbative forward model, with noise…

宇宙学与河外天体物理 · 物理学 2025-09-25 Kazuyuki Akitsu , Marko Simonović , Shi-Fan Chen , Giovanni Cabass , Matias Zaldarriaga

A unique feature of gravity is its ability to control the information accessible to any specific observer. We quantify the notion of cosmic information ('CosmIn') for an eternal observer in the universe. Demanding the finiteness of CosmIn…

广义相对论与量子宇宙学 · 物理学 2017-08-28 T. Padmanabhan , Hamsa Padmanabhan

We aim to present a tutorial on the detection, parameter estimation and statistical analysis of compact sources (far galaxies, galaxy clusters and Galactic dense emission regions) in cosmic microwave background observations. The topic is of…

宇宙学与河外天体物理 · 物理学 2011-01-05 D. Herranz , P. Vielva

The emergence of a complex, large-scale organisation of cosmic matter into the Cosmic Web is a beautiful exemplification of how complexity can be produced by simple initial conditions and simple physical laws. In the epoch of Big Data in…

宇宙学与河外天体物理 · 物理学 2021-05-12 Franco Vazza

Modern scientific cosmology pushes the boundaries of knowledge and the knowable. This is prompting questions on the nature of scientific knowledge. A central issue is what defines a 'good' model. When addressing global properties of the…

物理学史与哲学 · 物理学 2018-12-12 Martin Sahlén

A rigorous constraint analysis on cosmic inflation entails several probes which collectively survey an extensive range of energy scales. We complement the cosmic microwave background data with an updated compilation of the cosmic abundance…

宇宙学与河外天体物理 · 物理学 2019-04-23 Jurgen Mifsud , Carsten van de Bruck

We develop a theoretical framework to describe the cosmological observables on the past light cone such as the luminosity distance, weak lensing, galaxy clustering, and the cosmic microwave background anisotropies. We consider that all the…

宇宙学与河外天体物理 · 物理学 2019-12-17 Jaiyul Yoo , Ermis Mitsou , Nastassia Grimm , Ruth Durrer , Alexandre Refregier

The subject of this paper is a quantification of the information content of cosmological probes of the large-scale structures, specifically of temperature and polarisation anisotropies in the cosmic microwave background, CMB-lensing, weak…

宇宙学与河外天体物理 · 物理学 2020-05-06 Ana Marta Pinho , Robert Reischke , Marie Teich , Björn Malte Schäfer

The emergence of cosmic structure is commonly considered one of the most complex phenomena in Nature. However, this complexity has never been defined nor measured in a quantitative and objective way. In this work we propose a method to…

宇宙学与河外天体物理 · 物理学 2016-11-29 Franco Vazza

\textit{What is the cosmological information content of a cubic Gigaparsec of dark matter? } Extracting cosmological information from the non-linear matter distribution has high potential to tighten parameter constraints in the era of…

宇宙学与河外天体物理 · 物理学 2025-09-04 Anirban Bairagi , Benjamin Wandelt

This paper presents a prescription for distilling the information contained in the cosmic microwave background radiation from multiple sky maps that also contain both instrument noise and foreground contaminants. The prescription is…

天体物理学 · 物理学 2008-05-02 Steven Gratton

Visualizations support rapid analysis of scientific datasets, allowing viewers to glean aggregate information (e.g., the mean) within split-seconds. While prior research has explored this ability in conventional charts, it is unclear if…

人机交互 · 计算机科学 2024-06-21 Victor A. Mateevitsi , Michael E. Papka , Khairi Reda
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