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A conventional linear model for functional data involves expressing a response variable $Y$ in terms of the explanatory function $X(t)$, via the model: $Y=a+\int_I b(t)X(t)dt+\hbox{error}$, where $a$ is a scalar, $b$ is an unknown function…

统计方法学 · 统计学 2014-07-01 Peter Hall , Giles Hooker

One of the main problems of observational cosmology is to determine the range in which a reliable measurement of galaxy correlations is possible. This corresponds to determine the shape of the correlation function, its possible evolution…

宇宙学与河外天体物理 · 物理学 2014-07-18 Francesco Sylos Labini , Daniil Tekhanovich , Yurij V. Baryshev

Upcoming surveys of cosmic structures will probe scales close to the cosmological horizon, which opens up new opportunities for testing the cosmological concordance model to high accuracy. In particular, constraints on the squeezed…

宇宙学与河外天体物理 · 物理学 2023-08-28 Thomas Montandon , Julian Adamek , Oliver Hahn , Jorge Noreña , Cornelius Rampf , Clément Stahl , Bartjan van Tent

We introduce a new approach for estimating the invariant density of a multidimensional diffusion when dealing with high-frequency observations blurred by independent noises. We consider the intermediate regime, where observations occur at…

统计理论 · 数学 2024-04-19 Raphaël Maillet , Grégoire Szymanski

We describe a novel end-to-end approach using Machine Learning to reconstruct the power spectrum of cosmological density perturbations at high redshift from observed quasar spectra. State-of-the-art cosmological simulations of structure…

宇宙学与河外天体物理 · 物理学 2021-07-21 Maria Han Veiga , Xi Meng , Oleg Y. Gnedin , Nickolay Y. Gnedin , Xun Huan

We develop a new method of combining cluster observables (number counts and cluster-cluster correlation functions) and stacked weak lensing signals of background galaxy shapes, both of which are available in a wide-field optical imaging…

宇宙学与河外天体物理 · 物理学 2015-03-17 Masamune Oguri , Masahiro Takada

Large-scale surveys make huge amounts of photometric data available. Because of the sheer amount of objects, spectral data cannot be obtained for all of them. Therefore it is important to devise techniques for reliably estimating physical…

天体物理仪器与方法 · 物理学 2017-03-22 Kristoffer Stensbo-Smidt , Fabian Gieseke , Christian Igel , Andrew Zirm , Kim Steenstrup Pedersen

The next generation of weak gravitational lensing surveys is capable of generating good measurements of cosmological parameters, provided that, amongst other requirements, adequate redshift information is available for the background…

天体物理学 · 物理学 2009-11-11 Edward Edmondson , Lance Miller , Christian Wolf

Anomaly detection is a field of intense research. Identifying low probability events in data/images is a challenging problem given the high-dimensionality of the data, especially when no (or little) information about the anomaly is…

机器学习 · 计算机科学 2022-04-13 José A. Padrón-Hidalgo , Valero Laparra , Gustau Camps-Valls

Context. Large spectroscopic surveys open the way to explore our Galaxy. In order to use the data from these surveys to understand the Galactic stellar population, we need to be sure that stars contained in a survey are a representative…

星系天体物理 · 物理学 2018-12-26 Alexey Mints , Saskia Hekker

The current methods available to estimate gravitational shear from astronomical images of galaxies introduce systematic errors which can affect the accuracy of weak lensing cosmological constraints. We study the impact of KSB shape…

天体物理学 · 物理学 2015-05-13 Elisabetta Semboloni , Ismael Tereno , Ludovic van Waerbeke , Catherine Heymans

In the very near future, weak lensing surveys will map the projected density of the universe in an unbiased way over large regions of the sky. In order to interpret the results of studies it is helpful to develop an understanding of the…

天体物理学 · 物理学 2008-11-26 Dipak Munshi , Peter Coles

We present a cosmic shear analysis of the 100 square degree weak lensing survey, combining data from the CFHTLS-Wide, RCS, VIRMOS-DESCART and GaBoDS surveys. Spanning ~100 square degrees, with a median source redshift z~0.78, this combined…

Estimating the density of a continuous random variable X has been studied extensively in statistics, in the setting where n independent observations of X are given a priori and one wishes to estimate the density from that. Popular methods…

统计计算 · 统计学 2021-09-09 Pierre L'Ecuyer , Florian Puchhammer

Redshift space distortion (RSD) is a powerful way of measuring the growth of structure and testing General Relativity, but it is limited by cosmic variance and the degeneracy between galaxy bias b and the growth rate factor f. The…

宇宙学与河外天体物理 · 物理学 2015-06-03 Yan-Chuan Cai , Gary Bernstein

We consider statistical models where functional data are artificially contaminated by independent Wiener processes in order to satisfy privacy constraints. We show that the corrupted observations have a Wiener density which determines the…

统计理论 · 数学 2019-12-18 Aurore Delaigle , Alexander Meister

A common problem in the sciences is that a signal of interest is observed only indirectly, through smooth functionals of the signal whose values are then obscured by noise. In such inverse problems, the functionals dampen or entirely…

统计方法学 · 统计学 2012-07-04 Darren Homrighausen , Christopher R. Genovese

For a sample of Exponentially distributed durations we aim at point estimation and a confidence interval for its parameter. A duration is only observed if it has ended within a certain time interval, determined by a Uniform distribution.…

统计方法学 · 统计学 2021-10-19 Rafael Weißbach , Dominik Wied

Determining the distribution of redshifts of galaxies observed by wide-field photometric experiments like the Dark Energy Survey is an essential component to mapping the matter density field with gravitational lensing. In this work we…

宇宙学与河外天体物理 · 物理学 2021-06-30 J. Myles , A. Alarcon , A. Amon , C. Sánchez , S. Everett , J. DeRose , J. McCullough , D. Gruen , G. M. Bernstein , M. A. Troxel , S. Dodelson , A. Campos , N. MacCrann , B. Yin , M. Raveri , A. Amara , M. R. Becker , A. Choi , J. Cordero , K. Eckert , M. Gatti , G. Giannini , J. Gschwend , R. A. Gruendl , I. Harrison , W. G. Hartley , E. M. Huff , N. Kuropatkin , H. Lin , D. Masters , R. Miquel , J. Prat , A. Roodman , E. S. Rykoff , I. Sevilla-Noarbe , E. Sheldon , R. H. Wechsler , B. Yanny , T. M. C. Abbott , M. Aguena , S. Allam , J. Annis , D. Bacon , E. Bertin , S. Bhargava , S. L. Bridle , D. Brooks , D. L. Burke , A. Carnero Rosell , M. Carrasco Kind , J. Carretero , F. J. Castander , C. Conselice , M. Costanzi , M. Crocce , L. N. da Costa , M. E. S. Pereira , S. Desai , H. T. Diehl , T. F. Eifler , J. Elvin-Poole , A. E. Evrard , I. Ferrero , A. Ferté , B. Flaugher , P. Fosalba , J. Frieman , J. García-Bellido , E. Gaztanaga , T. Giannantonio , S. R. Hinton , D. L. Hollowood , K. Honscheid , B. Hoyle , D. Huterer , D. J. James , E. Krause , K. Kuehn , O. Lahav , M. Lima , M. A. G. Maia , J. L. Marshall , P. Martini , P. Melchior , F. Menanteau , J. J. Mohr , R. Morgan , J. Muir , R. L. C. Ogando , A. Palmese , F. Paz-Chinchón , A. A. Plazas , M. Rodriguez-Monroy , S. Samuroff , E. Sanchez , V. Scarpine , L. F. Secco , S. Serrano , M. Smith , M. Soares-Santos , E. Suchyta , M. E. C. Swanson , G. Tarle , D. Thomas , C. To , T. N. Varga , J. Weller , W. Wester

With the use of simulated supernova catalogs, we show that the statefinder parameters turn out to be poorly and biased estimated by standard cosmography. To this end, we compute their standard deviations and several bias statistics on…

宇宙学与河外天体物理 · 物理学 2017-08-09 Alejandro Aviles , Jaime Klapp , Orlando Luongo