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We derive cosmological constraints from the probability distribution function (PDF) of evolved large-scale matter density fluctuations. We do this by splitting lines of sight by density based on their count of tracer galaxies, and by…

Determining the mass of stars is crucial both to improving stellar evolution theory and to characterising exoplanetary systems. Asteroseismology offers a promising way to estimate stellar mean density. When combined with accurate radii…

Solar and Stellar Astrophysics · Physics 2015-06-03 D. R. Reese , J. P. Marques , M. J. Goupil , M. J. Thompson , S. Deheuvels

Strong lensing is one of the most direct probes of the mass distribution in the inner regions of galaxy clusters. It can be used to constrain the density profiles and to measure the mass of the lenses. Moreover, the abundance of strong…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Massimo Meneghetti , Cosimo Fedeli , Francesco Pace , Stefan Gottloeber , Gustavo Yepes

Observational astronomy is plagued with selection effects that must be taken into account when interpreting data from astronomical surveys. Because of the physical limitations of observing time and instrument sensitivity, datasets are…

History and Philosophy of Physics · Physics 2023-02-22 Sarah C. Gallagher , Chris Smeenk

Spaces with locally varying scale of measurement, like multidimensional structures with differently scaled dimensions, are pretty common in statistics and machine learning. Nevertheless, it is still understood as an open question how to…

Machine Learning · Statistics 2024-03-05 Christoph Jansen , Georg Schollmeyer , Hannah Blocher , Julian Rodemann , Thomas Augustin

To assess the quality of a probabilistic prediction for stochastic dynamical systems (SDSs), scoring rules assign a numerical score based on the predictive distribution and the measured state. In this paper, we propose an…

Information Theory · Computer Science 2025-04-25 Tao Xu , Yushan Li , Jianping He

The largest uncertainty for cosmological studies using clusters of galaxies is introduced by our limited knowledge of the statistics of galaxy cluster structure, and of the scaling relations between observables and cluster mass. A large…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Hans Boehringer , Klaus Dolag , Gayoung Chon

We use large-scale cosmological simulations to estimate the mass-to-light ratio of galaxy systems as a function of scale, and compare the results with observations of galaxies, groups, clusters, and superclusters of galaxies. We find…

Astrophysics · Physics 2016-08-15 N. A. Bahcall , R. Cen , R. Davé , J. P. Ostriker , Q. Yu

We use gas-dynamical simulations of galaxy clusters to compare their X-ray and strong lensing properties. Special emphasis is laid on mass estimates. The cluster masses range between 6 x 10^14 solar masses and 4 x 10^15 solar masses, and…

Astrophysics · Physics 2015-06-24 Matthias Bartelmann , Matthias Steinmetz

It is commonplace in cosmology to analyze fields projected onto the celestial sphere, and in particular density fields that are defined by a set of points e.g. galaxies. When performing an harmonic-space analysis of such data (e.g. an…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-02 Antón Baleato Lizancos , Martin White

We study the importance of gravitational lensing in the modelling of the number counts of galaxies. We confirm previous results for photometric surveys, showing that lensing cannot be neglected in a survey like LSST since it would infer a…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-22 Goran Jelic-Cizmek , Francesca Lepori , Camille Bonvin , Ruth Durrer

Data correction is probably the least favourite activity amongst users experimenting with small-angle X-ray scattering (SAXS): if it is not done sufficiently well, this may become evident during the data analysis stage, necessitating the…

Applied Physics · Physics 2017-12-25 Brian R. Pauw , Andrew J. Smith , Tim Snow , Nick J. Terrill , Andreas F. Thünemann

A system (P_a: a in A) of probability measures on a common state space S indexed by another index set A can be ``realized'' by a system (X_a: a in A) of S-valued random variables on some probability space in such a way that each X_a is…

Probability · Mathematics 2007-05-23 James Allen Fill , Motoya Machida

Context: The number of known strong gravitational lenses is expected to grow substantially in the next few years. The statistical combination of large samples of lenses has the potential of providing strong constraints on the inner…

Astrophysics of Galaxies · Physics 2021-07-07 Alessandro Sonnenfeld , Marius Cautun

The number density of local maxima of weak lensing field, referred to as weak-lensing peak counts, can be used as a cosmological probe. However, its relevant cosmological information is still unclear. We study the relationship between the…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-21 Masato Shirasaki

Weak gravitational lensing surveys are rapidly becoming important tools to probe directly the mass density fluctuations in the universe and its background dynamics. Earlier studies have shown that it is possible to model the statistics of…

Astrophysics · Physics 2009-11-07 Patrick Valageas , Andrew J. Barber , Dipak Munshi

With the increasing penetration of high-frequency sensors across a number of biological and physical systems, the abundance of the resulting observations offers opportunities for higher statistical accuracy of down-stream estimates, but…

Optimization and Control · Mathematics 2020-11-06 Shushu Zhang , Vivak Patel

Large deviation statistics is implemented to predict the statistics of cosmic densities in cylinders applicable to photometric surveys. It yields few percent accurate analytical predictions for the one-point probability distribution…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-28 Cora Uhlemann , Christophe Pichon , Sandrine Codis , Benjamin L'Huillier , Juhan Kim , Francis Bernardeau , Changbom Park , Simon Prunet

Astronomical researchers often think of analysis and visualization as separate tasks. In the case of high-dimensional data sets, though, interactive exploratory data visualization can give far more insight than an approach where data…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 Alyssa A. Goodman

We present a technique for constructing suitable posterior probability distributions in situations for which the sampling distribution of the data is not known. This is very useful for modern scientific data analysis in the era of "big…

Instrumentation and Methods for Astrophysics · Physics 2017-08-30 Steven Gratton