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The estimation of cosmological constraints from observations of the large scale structure of the Universe, such as the power spectrum or the correlation function, requires the knowledge of the inverse of the associated covariance matrix,…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-04 Dante J. Paz , Ariel G. Sanchez

Using 1000 ray-tracing simulations for a {\Lambda}-dominated cold dark model in Sato et al. (2009), we study the covariance matrix of cosmic shear correlation functions, which is the standard statistics used in the previous measurements.…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Masanori Sato , Masahiro Takada , Takashi Hamana , Takahiko Matsubara

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…

Third-order weak lensing statistics are a promising tool for cosmological analyses since they extract cosmological information in the non-Gaussianity of the cosmic large-scale structure. However, such analyses require precise and accurate…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-26 Laila Linke , Sven Heydenreich , Pierre A. Burger , Peter Schneider

We perform a cosmic shear analysis in harmonic space using the first year of data collected by the Dark Energy Survey (DES-Y1). We measure the cosmic weak lensing shear power spectra using the Metacalibration catalogue and perform a…

With the advent of large-scale weak lensing surveys there is a need to understand how realistic, scale-dependent systematics bias cosmic shear and dark energy measurements, and how they can be removed. Here we describe how spatial…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-31 A. N. Taylor , T. D. Kitching

Large data-sets defined on the sphere arise in many fields. In particular, recent and forthcoming observations of the anisotropies of the cosmic microwave background (CMB) made on the celestial sphere contain approximately three and fifty…

Instrumentation and Methods for Astrophysics · Physics 2011-08-22 J. D. McEwen , Y. Wiaux , D. M. Eyers

We present predictions for cosmological parameter constraints from combined measurements of second- and third-order statistics of cosmic shear. We define the generalized third-order aperture mass statistics <M_ap^3> and show that it…

Astrophysics · Physics 2008-11-26 Martin Kilbinger , Peter Schneider

Large-scale deep learning models are well-suited for compression. Across a variety of tasks, methods like pruning, quantization, and knowledge distillation have been used to achieve massive reductions in model parameters with only marginal…

Machine Learning · Computer Science 2026-05-18 Pedram Bakhtiarifard , Tong Chen , Jonathan Wenshøj , Erik B Dam , Raghavendra Selvan

We present cosmological constraints from the analysis of angular power spectra of cosmic shear maps based on data from the first three years of observations by the Dark Energy Survey (DES Y3). Our measurements are based on the…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-20 C. Doux , B. Jain , D. Zeurcher , J. Lee , X. Fang , R. Rosenfeld , A. Amon , H. Camacho , A. Choi , L. F. Secco , J. Blazek , C. Chang , M. Gatti , E. Gaztanaga , N. Jeffrey , M. Raveri , S. Samuroff , A. Alarcon , O. Alves , F. Andrade-Oliveira , E. Baxter , K. Bechtol , M. R. Becker , G. M. Bernstein , A. Campos , A. Carnero Rosell , M. Carrasco Kind , R. Cawthon , R. Chen , J. Cordero , M. Crocce , C. Davis , J. DeRose , S. Dodelson , A. Drlica-Wagner , K. Eckert , T. F. Eifler , F. Elsner , J. Elvin-Poole , S. Everett , A. Ferté , P. Fosalba , O. Friedrich , G. Giannini , D. Gruen , R. A. Gruendl , I. Harrison , W. G. Hartley , K. Herner , H. Huang , E. M. Huff , D. Huterer , M. Jarvis , E. Krause , N. Kuropatkin , P. -F. Leget , P. Lemos , A. R. Liddle , N. MacCrann , J. McCullough , J. Muir , J. Myles , A. Navarro-Alsina , S. Pandey , Y. Park , A. Porredon , J. Prat , M. Rodriguez-Monroy , R. P. Rollins , A. Roodman , A. J. Ross , E. S. Rykoff , C. Sánchez , J. Sanchez , I. Sevilla-Noarbe , E. Sheldon , T. Shin , A. Troja , M. A. Troxel , I. Tutusaus , T. N. Varga , N. Weaverdyck , R. H. Wechsler , B. Yanny , B. Yin , Y. Zhang , J. Zuntz , T. M. C. Abbott , M. Aguena , S. Allam , J. Annis , D. Bacon , E. Bertin , S. Bocquet , D. Brooks , D. L. Burke , J. Carretero , M. Costanzi , L. N. da Costa , M. E. S. Pereira , J. De Vicente , S. Desai , H. T. Diehl , P. Doel , I. Ferrero , B. Flaugher , J. Frieman , J. García-Bellido , D. W. Gerdes , T. Giannantonio , J. Gschwend , G. Gutierrez , S. R. Hinton , D. L. Hollowood , K. Honscheid , D. J. James , A. G. Kim , K. Kuehn , O. Lahav , J. L. Marshall , F. Menanteau , R. Miquel , R. Morgan , R. L. C. Ogando , A. Palmese , F. Paz-Chinchón , A. Pieres , K. Reil , E. Sanchez , V. Scarpine , S. Serrano , M. Smith , E. Suchyta , M. E. C. Swanson , G. Tarle , D. Thomas , C. To , J. Weller

We investigate the bias and error in estimates of the cosmological parameter covariance matrix, due to sampling or modelling the data covariance matrix, for likelihood width and peak scatter estimators. We show that these estimators do not…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Andy Taylor , Benjamin Joachimi

The ever-increasing parameter counts of deep learning models necessitate effective compression techniques for deployment on resource-constrained devices. This paper explores the application of information geometry, the study of…

Machine Learning · Computer Science 2025-07-15 Zakhar Shumaylov , Vasileios Tsiaras , Yannis Stylianou

[Abridged] We seek approximations to the cosmic shear covariance that are as easy to use as the common approximations based on normal statistics, but yield more accurate covariance matrices and parameter errors. We derive expressions for…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Stefan Hilbert , Jan Hartlap , Peter Schneider

The covariance matrix of the matter power spectrum is a key element of the statistical analysis of galaxy clustering data. Independent realisations of observational measurements can be used to sample the covariance, nevertheless statistical…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-14 Linda Blot , Pier Stefano Corasaniti , Luca Amendola , Thomas D. Kitching

We apply two compression methods to the galaxy power spectrum monopole/quadrupole and bispectrum monopole measurements from the BOSS DR12 CMASS sample. Both methods reduce the dimension of the original data-vector to the number of…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-07 Davide Gualdi , Héctor Gil-Marín , Robert L. Schuhmann , Marc Manera , Benjamin Joachimi , Ofer Lahav

We apply two Bayesian hierarchical inference schemes to infer shear power spectra, shear maps and cosmological parameters from the CFHTLenS weak lensing survey - the first application of this method to data. In the first approach, we sample…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-10 Justin Alsing , Alan F. Heavens , Andrew H. Jaffe

We study degeneracies between cosmological parameters and measurement errors from cosmic shear surveys using a principal component analysis of the Fisher matrix. We simulate realistic survey topologies with non-uniform sky coverage, and…

Astrophysics · Physics 2009-11-13 Dipak Munshi , Martin Kilbinger