Likelihood non-Gaussianity in large-scale structure analyses
Abstract
The standard present-day large-scale structure (LSS) analyses make a major assumption in their Bayesian parameter inference – that the likelihood has a Gaussian form. For summary statistics currently used in LSS, this assumption, even if the underlying density field is Gaussian, cannot be correct in detail. We investigate the impact of this assumption on two recent LSS analyses: the Beutler et al. power spectrum multipole ($$P_ℓ$$) analysis and the Sinha et al. group multiplicity function ($$ζ$$) analysis. Using non-parametric divergence estimators on mock catalogues originally constructed for covariance matrix estimation, we identify significant non-Gaussianity in both the $$P_ℓ$$ and $$ζ$$ likelihoods. We then use Gaussian mixture density estimation and independent component analysis on the same mocks to construct likelihood estimates that approximate the true likelihood better than the Gaussian pseudo-likelihood. Using these likelihood estimates, we accurately estimate the true posterior probability distribution of the Beutler et al. and Sinha et al. parameters. Likelihood non-Gaussianity shifts the fσ8 constraint by -0.44σ, but otherwise does not significantly impact the overall parameter constraints of Beutler et al. For the $$ζ$$ analysis, using the pseudo-likelihood significantly underestimates the uncertainties and biases the constraints of the Sinha et al. halo occupation parameters. For log $$M_1$$ and α, the posteriors are shifted by +0.43σ and -0.51σ and broadened by 42 per cent and 66 per cent, respectively. The divergence and likelihood estimation methods we present provide a straightforward framework for quantifying the impact of likelihood non-Gaussianity and deriving more accurate parameter constraints.
- Authors:
-
[1];
[2];
[3];
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States)
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States) ; Univ. of Portsmouth (United Kingdom)
- Swinburne Univ. of Technology, Hawthorn, VIC (Australia); Vanderbilt Univ., Nashville, TN (United States)
- Vanderbilt Univ., Nashville, TN (United States)
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States); Carnegie Mellon Univ., Pittsburgh, PA (United States)
- Center for Cosmology and Particle Physics, New York University, New York, NY 10003, USA; Flatiron Institute, 162 Fifth Avenue, New York, NY 10010, USA
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1577636
- Grant/Contract Number:
- AC02-05CH11231; CE170100013
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Monthly Notices of the Royal Astronomical Society
- Additional Journal Information:
- Journal Volume: 485; Journal Issue: 2; Journal ID: ISSN 0035-8711
- Publisher:
- Royal Astronomical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; Astronomy & Astrophysics; methods: data analysis; methods: statistical; galaxies: statistics; cosmology: observations; cosmological parameters; large-scale structure of Universe
Citation Formats
Hahn, ChangHoon, Beutler, Florian, Sinha, Manodeep, Berlind, Andreas, Ho, Shirley, and Hogg, David W. Likelihood non-Gaussianity in large-scale structure analyses. United States: N. p., 2019.
Web. doi:10.1093/mnras/stz558.
Hahn, ChangHoon, Beutler, Florian, Sinha, Manodeep, Berlind, Andreas, Ho, Shirley, & Hogg, David W. Likelihood non-Gaussianity in large-scale structure analyses. United States. https://doi.org/10.1093/mnras/stz558
Hahn, ChangHoon, Beutler, Florian, Sinha, Manodeep, Berlind, Andreas, Ho, Shirley, and Hogg, David W. Tue .
"Likelihood non-Gaussianity in large-scale structure analyses". United States. https://doi.org/10.1093/mnras/stz558. https://www.osti.gov/servlets/purl/1577636.
@article{osti_1577636,
title = {Likelihood non-Gaussianity in large-scale structure analyses},
author = {Hahn, ChangHoon and Beutler, Florian and Sinha, Manodeep and Berlind, Andreas and Ho, Shirley and Hogg, David W.},
abstractNote = {The standard present-day large-scale structure (LSS) analyses make a major assumption in their Bayesian parameter inference – that the likelihood has a Gaussian form. For summary statistics currently used in LSS, this assumption, even if the underlying density field is Gaussian, cannot be correct in detail. We investigate the impact of this assumption on two recent LSS analyses: the Beutler et al. power spectrum multipole ($P_ℓ$) analysis and the Sinha et al. group multiplicity function ($ζ$) analysis. Using non-parametric divergence estimators on mock catalogues originally constructed for covariance matrix estimation, we identify significant non-Gaussianity in both the $P_ℓ$ and $ζ$ likelihoods. We then use Gaussian mixture density estimation and independent component analysis on the same mocks to construct likelihood estimates that approximate the true likelihood better than the Gaussian pseudo-likelihood. Using these likelihood estimates, we accurately estimate the true posterior probability distribution of the Beutler et al. and Sinha et al. parameters. Likelihood non-Gaussianity shifts the fσ8 constraint by -0.44σ, but otherwise does not significantly impact the overall parameter constraints of Beutler et al. For the $ζ$ analysis, using the pseudo-likelihood significantly underestimates the uncertainties and biases the constraints of the Sinha et al. halo occupation parameters. For log $M_1$ and α, the posteriors are shifted by +0.43σ and -0.51σ and broadened by 42 per cent and 66 per cent, respectively. The divergence and likelihood estimation methods we present provide a straightforward framework for quantifying the impact of likelihood non-Gaussianity and deriving more accurate parameter constraints.},
doi = {10.1093/mnras/stz558},
journal = {Monthly Notices of the Royal Astronomical Society},
number = 2,
volume = 485,
place = {United States},
year = {Tue Feb 26 00:00:00 EST 2019},
month = {Tue Feb 26 00:00:00 EST 2019}
}
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Works referenced in this record:
Estimating the Dimension of a Model
journal, March 1978
- Schwarz, Gideon
- The Annals of Statistics, Vol. 6, Issue 2
On estimating cosmology-dependent covariance matrices
journal, November 2013
- Morrison, Christopher B.; Schneider, Michael D.
- Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 11
Application of the Gaussian mixture model in pulsar astronomy - pulsar classification and candidates ranking for the Fermi 2FGL catalogue: Application of the Gaussian mixture model
journal, July 2012
- Lee, K. J.; Guillemot, L.; Yue, Y. L.
- Monthly Notices of the Royal Astronomical Society, Vol. 424, Issue 4
Massive data compression for parameter-dependent covariance matrices
journal, September 2017
- Heavens, Alan F.; Sellentin, Elena; de Mijolla, Damien
- Monthly Notices of the Royal Astronomical Society, Vol. 472, Issue 4
Parameter inference with estimated covariance matrices
journal, December 2015
- Sellentin, Elena; Heavens, Alan F.
- Monthly Notices of the Royal Astronomical Society: Letters, Vol. 456, Issue 1
Consistent Estimation of a Mixing Distribution
journal, September 1992
- Leroux, Brian G.
- The Annals of Statistics, Vol. 20, Issue 3
Least squares quantization in PCM
journal, March 1982
- Lloyd, S.
- IEEE Transactions on Information Theory, Vol. 28, Issue 2
Fast and robust fixed-point algorithms for independent component analysis
journal, May 1999
- Hyvarinen, A.
- IEEE Transactions on Neural Networks, Vol. 10, Issue 3
Towards accurate modelling of galaxy clustering on small scales: testing the standard ΛCDM + halo model
journal, April 2018
- Sinha, Manodeep; Berlind, Andreas A.; McBride, Cameron K.
- Monthly Notices of the Royal Astronomical Society, Vol. 478, Issue 1
A new Method to Correct for Fiber Collisions in Galaxy Two-Point Statistics
journal, August 2012
- Guo, Hong; Zehavi, Idit; Zheng, Zheng
- The Astrophysical Journal, Vol. 756, Issue 2
Halo mass distribution reconstruction across the cosmic web
journal, June 2015
- Zhao, Cheng; Kitaura, Francisco-Shu; Chuang, Chia-Hsun
- Monthly Notices of the Royal Astronomical Society, Vol. 451, Issue 4
nbodykit: An Open-source, Massively Parallel Toolkit for Large-scale Structure
journal, September 2018
- Hand, Nick; Feng, Yu; Beutler, Florian
- The Astronomical Journal, Vol. 156, Issue 4
Cosmology and fundamental physics with the Euclid satellite
journal, April 2018
- Amendola, Luca; Appleby, Stephen; Avgoustidis, Anastasios
- Living Reviews in Relativity, Vol. 21, Issue 1
Galaxy And Mass Assembly (GAMA): deconstructing bimodality – I. Red ones and blue ones
journal, November 2014
- Taylor, Edward N.; Hopkins, Andrew M.; Baldry, Ivan K.
- Monthly Notices of the Royal Astronomical Society, Vol. 446, Issue 2
Dynamical mass Measurements of Contaminated Galaxy Clusters Using Machine Learning
journal, November 2016
- Ntampaka, M.; Trac, H.; Sutherland, D. J.
- The Astrophysical Journal, Vol. 831, Issue 2
The non-Gaussianity of the cosmic shear likelihood or how odd is the Chandra Deep Field South?
journal, July 2009
- Hartlap, J.; Schrabback, T.; Simon, P.
- Astronomy & Astrophysics, Vol. 504, Issue 3
The three-point function in large-scale structure: redshift distortions and galaxy bias
journal, August 2005
- Gaztañaga, E.; Scoccimarro, R.
- Monthly Notices of the Royal Astronomical Society, Vol. 361, Issue 3
Power Spectra Estimation for Weak Lensing
journal, June 2001
- Hu, Wayne; White, Martin
- The Astrophysical Journal, Vol. 554, Issue 1
The Bispectrum: From Theory to Observations
journal, December 2000
- Scoccimarro, Roman
- The Astrophysical Journal, Vol. 544, Issue 2
The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: anisotropic galaxy clustering in Fourier space
journal, December 2016
- Beutler, Florian; Seo, Hee-Jong; Saito, Shun
- Monthly Notices of the Royal Astronomical Society, Vol. 466, Issue 2
Detection of baryon acoustic oscillation features in the large-scale three-point correlation function of SDSS BOSS DR12 CMASS galaxies
journal, March 2017
- Slepian, Zachary; Eisenstein, Daniel J.; Brownstein, Joel R.
- Monthly Notices of the Royal Astronomical Society, Vol. 469, Issue 2
The cosmological simulation code gadget-2
journal, December 2005
- Springel, Volker
- Monthly Notices of the Royal Astronomical Society, Vol. 364, Issue 4
Myths and truths concerning estimation of power spectra: the case for a hybrid estimator
journal, April 2004
- Efstathiou, G.
- Monthly Notices of the Royal Astronomical Society, Vol. 349, Issue 2
Imprints of primordial non-Gaussianities on large-scale structure: Scale-dependent bias and abundance of virialized objects
journal, June 2008
- Dalal, Neal; Doré, Olivier; Huterer, Dragan
- Physical Review D, Vol. 77, Issue 12
The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
journal, March 2017
- Alam, Shadab; Ata, Metin; Bailey, Stephen
- Monthly Notices of the Royal Astronomical Society, Vol. 470, Issue 3
Planck 2013 results. XX. Cosmology from Sunyaev–Zeldovich cluster counts
journal, October 2014
- Ade, P. A. R.; Aghanim, N.; Armitage-Caplan, C.
- Astronomy & Astrophysics, Vol. 571
P-MaNGA: full spectral fitting and stellar population maps from prototype observations
journal, March 2015
- Wilkinson, David M.; Maraston, Claudia; Thomas, Daniel
- Monthly Notices of the Royal Astronomical Society, Vol. 449, Issue 1
The WiggleZ Dark Energy Survey: improved distance measurements to z = 1 with reconstruction of the baryonic acoustic feature
journal, May 2014
- Kazin, Eyal A.; Koda, Jun; Blake, Chris
- Monthly Notices of the Royal Astronomical Society, Vol. 441, Issue 4
Planck 2015 results : XI. CMB power spectra, likelihoods, and robustness of parameters
journal, September 2016
- Aghanim, N.; Arnaud, M.; Ashdown, M.
- Astronomy & Astrophysics, Vol. 594
Imprint of DESI fiber assignment on the anisotropic power spectrum of emission line galaxies
journal, April 2017
- Pinol, Lucas; Cahn, Robert N.; Hand, Nick
- Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 04
Massive optimal data compression and density estimation for scalable, likelihood-free inference in cosmology
journal, March 2018
- Alsing, Justin; Wandelt, Benjamin; Feeney, Stephen
- Monthly Notices of the Royal Astronomical Society, Vol. 477, Issue 3
Divergence Estimation for Multidimensional Densities Via $k$-Nearest-Neighbor Distances
journal, May 2009
- Wang, Qing; Kulkarni, Sanjeev R.; Verdu, Sergio
- IEEE Transactions on Information Theory, Vol. 55, Issue 5
Planck 2015 results : XXIV. Cosmology from Sunyaev-Zeldovich cluster counts
journal, September 2016
- Ade, P. A. R.; Aghanim, N.; Arnaud, M.
- Astronomy & Astrophysics, Vol. 594
Constraining primordial non-Gaussianity with future galaxy surveys: Primordial non-Gaussianity with galaxy surveys
journal, April 2012
- Giannantonio, Tommaso; Porciani, Cristiano; Carron, Julien
- Monthly Notices of the Royal Astronomical Society, Vol. 422, Issue 4
A First look at Creating mock Catalogs with Machine Learning Techniques
journal, July 2013
- Xu, Xiaoying; Ho, Shirley; Trac, Hy
- The Astrophysical Journal, Vol. 772, Issue 2
Independent component analysis, A new concept?
journal, April 1994
- Comon, Pierre
- Signal Processing, Vol. 36, Issue 3
A Machine Learning Approach for Dynamical mass Measurements of Galaxy Clusters
journal, April 2015
- Ntampaka, M.; Trac, H.; Sutherland, D. J.
- The Astrophysical Journal, Vol. 803, Issue 2
Transients from initial conditions: a perturbative analysis
journal, October 1998
- Scoccimarro, R.
- Monthly Notices of the Royal Astronomical Society, Vol. 299, Issue 4
How Many Clusters? Which Clustering Method? Answers Via Model-Based Cluster Analysis
journal, August 1998
- Fraley, C.
- The Computer Journal, Vol. 41, Issue 8
Accelerating Approximate Bayesian Computation with Quantile Regression: application to cosmological redshift distributions
journal, February 2018
- Kacprzak, T.; Herbel, J.; Amara, A.
- Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 02
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: RSD measurement from the power spectrum and bispectrum of the DR12 BOSS galaxies
journal, October 2016
- Gil-Marín, Héctor; Percival, Will J.; Verde, Licia
- Monthly Notices of the Royal Astronomical Society, Vol. 465, Issue 2
Large covariance matrices: smooth models from the two-point correlation function
journal, July 2016
- O'Connell, Ross; Eisenstein, Daniel; Vargas, Mariana
- Monthly Notices of the Royal Astronomical Society, Vol. 462, Issue 3
On the Convergence Properties of the EM Algorithm
journal, March 1983
- Wu, C. F. Jeff
- The Annals of Statistics, Vol. 11, Issue 1
Constraints on local primordial non-Gaussianity from large scale structure
journal, August 2008
- Slosar, Anže; Hirata, Christopher; Seljak, Uroš
- Journal of Cosmology and Astroparticle Physics, Vol. 2008, Issue 08
Extreme deconvolution: Inferring complete distribution functions from noisy, heterogeneous and incomplete observations
journal, June 2011
- Bovy, Jo; Hogg, David W.; Roweis, Sam T.
- The Annals of Applied Statistics, Vol. 5, Issue 2B
Fast estimators for redshift-space clustering
journal, October 2015
- Scoccimarro, Román
- Physical Review D, Vol. 92, Issue 8
Evidence for low Black hole spin and Physically Motivated Accretion Models from Millimeter-Vlbi Observations of Sagittarius a*
journal, June 2011
- Broderick, Avery E.; Fish, Vincent L.; Doeleman, Sheperd S.
- The Astrophysical Journal, Vol. 735, Issue 2
Planck 2013 results. XV. CMB power spectra and likelihood
journal, October 2014
- Ade, P. A. R.; Aghanim, N.; Armitage-Caplan, C.
- Astronomy & Astrophysics, Vol. 571
Approximate Bayesian computation in large-scale structure: constraining the galaxy–halo connection
journal, April 2017
- Hahn, ChangHoon; Vakili, Mohammadjavad; Walsh, Kilian
- Monthly Notices of the Royal Astronomical Society, Vol. 469, Issue 3
The Elements of Statistical Learning
book, January 2009
- Hastie, Trevor; Tibshirani, Robert; Friedman, Jerome
- Springer Series in Statistics
MultiDark simulations: the story of dark matter halo concentrations and density profiles
journal, February 2016
- Klypin, Anatoly; Yepes, Gustavo; Gottlöber, Stefan
- Monthly Notices of the Royal Astronomical Society, Vol. 457, Issue 4
Measuring line-of-sight-dependent Fourier-space clustering using FFTs
journal, August 2015
- Bianchi, Davide; Gil-Marín, Héctor; Ruggeri, Rossana
- Monthly Notices of the Royal Astronomical Society: Letters, Vol. 453, Issue 1
Karhunen‐Loeve Eigenvalue Problems in Cosmology: How Should We Tackle Large Data Sets?
journal, May 1997
- Tegmark, Max; Taylor, Andy N.; Heavens, Alan F.
- The Astrophysical Journal, Vol. 480, Issue 1
Information criteria for astrophysical model selection
journal, May 2007
- Liddle, A. R.
- Monthly Notices of the Royal Astronomical Society: Letters, Vol. 377, Issue 1
An optimal FFT-based anisotropic power spectrum estimator
journal, July 2017
- Hand, Nick; Li, Yin; Slepian, Zachary
- Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 07
Dependence of cosmic shear covariances on cosmology: Impact on parameter estimation
journal, June 2009
- Eifler, T.; Schneider, P.; Hartlap, J.
- Astronomy & Astrophysics, Vol. 502, Issue 3
Cosmological structure formation with augmented Lagrangian perturbation theory
journal, August 2013
- Kitaura, Francisco-Shu; Heß, Steffen
- Monthly Notices of the Royal Astronomical Society: Letters, Vol. 435, Issue 1
Practical Bayesian Density Estimation Using Mixtures of Normals
journal, September 1997
- Roeder, Kathryn; Wasserman, Larry
- Journal of the American Statistical Association, Vol. 92, Issue 439
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: modelling the clustering and halo occupation distribution of BOSS CMASS galaxies in the Final Data Release
journal, April 2016
- Rodríguez-Torres, Sergio A.; Chuang, Chia-Hsun; Prada, Francisco
- Monthly Notices of the Royal Astronomical Society, Vol. 460, Issue 2
Estimating mutual information
journal, June 2004
- Kraskov, Alexander; Stögbauer, Harald; Grassberger, Peter
- Physical Review E, Vol. 69, Issue 6
Transients from initial conditions in cosmological simulations
journal, November 2006
- Crocce, M.; Pueblas, S.; Scoccimarro, R.
- Monthly Notices of the Royal Astronomical Society, Vol. 373, Issue 1
Hybrid estimation of cosmic microwave background polarization power spectra
journal, July 2006
- Efstathiou, G.
- Monthly Notices of the Royal Astronomical Society, Vol. 370, Issue 1
Improved primordial non-Gaussianity constraints from measurements of galaxy clustering and the integrated Sachs-Wolfe effect
journal, January 2014
- Giannantonio, Tommaso; Ross, Ashley J.; Percival, Will J.
- Physical Review D, Vol. 89, Issue 2
Automatic physical inference with information maximizing neural networks
journal, April 2018
- Charnock, Tom; Lavaux, Guilhem; Wandelt, Benjamin D.
- Physical Review D, Vol. 97, Issue 8
Perturbative approach to covariance matrix of the matter power spectrum
journal, December 2016
- Mohammed, Irshad; Seljak, Uroš; Vlah, Zvonimir
- Monthly Notices of the Royal Astronomical Society, Vol. 466, Issue 1
The clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: potential systematics in fitting of baryon acoustic feature
journal, September 2014
- Vargas-Magaña, Mariana; Ho, Shirley; Xu, Xiaoying
- Monthly Notices of the Royal Astronomical Society, Vol. 445, Issue 1
The WiggleZ Dark Energy Survey: Final data release and cosmological results
journal, November 2012
- Parkinson, David; Riemer-Sørensen, Signe; Blake, Chris
- Physical Review D, Vol. 86, Issue 10
The clustering of galaxies in the SDSS-III DR9 Baryon Oscillation Spectroscopic Survey: constraints on primordial non-Gaussianity
journal, November 2012
- Ross, Ashley J.; Percival, Will J.; Carnero, Aurelio
- Monthly Notices of the Royal Astronomical Society, Vol. 428, Issue 2
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: mock galaxy catalogues for the BOSS Final Data Release
journal, January 2016
- Kitaura, Francisco-Shu; Rodríguez-Torres, Sergio; Chuang, Chia-Hsun
- Monthly Notices of the Royal Astronomical Society, Vol. 456, Issue 4
Parameter estimation in astronomy through application of the likelihood ratio
journal, March 1979
- Cash, W.
- The Astrophysical Journal, Vol. 228
Statistical analysis of galaxy surveys - I. Robust error estimation for two-point clustering statistics
journal, June 2009
- Norberg, P.; Baugh, C. M.; Gaztañaga, E.
- Monthly Notices of the Royal Astronomical Society, Vol. 396, Issue 1
Percolation Galaxy Groups and Clusters in the SDSS Redshift Survey: Identification, Catalogs, and the Multiplicity Function
journal, November 2006
- Berlind, Andreas A.; Frieman, Joshua; Weinberg, David H.
- The Astrophysical Journal Supplement Series, Vol. 167, Issue 1
On the insufficiency of arbitrarily precise covariance matrices: non-Gaussian weak-lensing likelihoods
journal, September 2017
- Sellentin, Elena; Heavens, Alan F.
- Monthly Notices of the Royal Astronomical Society, Vol. 473, Issue 2
Constraining the halo bispectrum in real and redshift space from perturbation theory and non-linear stochastic bias
journal, April 2015
- Kitaura, F. -S.; Gil-Marin, H.; Scoccola, C. G.
- Monthly Notices of the Royal Astronomical Society, Vol. 450, Issue 2
Nonparametric kernel estimators for image classification
conference, June 2012
- Poczos, B.; Sutherland, D. J.
- 2012 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)
Generalized massive optimal data compression
journal, February 2018
- Alsing, Justin; Wandelt, Benjamin
- Monthly Notices of the Royal Astronomical Society: Letters, Vol. 476, Issue 1
Independent component analysis: algorithms and applications
journal, June 2000
- Hyvärinen, A.; Oja, E.
- Neural Networks, Vol. 13, Issue 4-5
The Bispectrum as a Signature of Gravitational Instability in Redshift Space
journal, June 1999
- Scoccimarro, Roman; Couchman, H. M. P.; Frieman, Joshua A.
- The Astrophysical Journal, Vol. 517, Issue 2
Correlations in the Spatial Power Spectra Inferred from Angular Clustering: Methods and Application to the Automated Plate Measuring Survey
journal, January 2001
- Eisenstein, Daniel J.; Zaldarriaga, Matias
- The Astrophysical Journal, Vol. 546, Issue 1
The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: observational systematics and baryon acoustic oscillations in the correlation function
journal, September 2016
- Ross, Ashley J.; Beutler, Florian; Chuang, Chia-Hsun
- Monthly Notices of the Royal Astronomical Society, Vol. 464, Issue 1
Modelling baryon acoustic oscillations with perturbation theory and stochastic halo biasing
journal, December 2013
- Kitaura, Francisco-Shu; Yepes, Gustavo; Prada, Francisco
- Monthly Notices of the Royal Astronomical Society: Letters, Vol. 439, Issue 1
Breaking the Degeneracies between Cosmology and Galaxy Bias
journal, April 2007
- Zheng, Zheng; Weinberg, David H.
- The Astrophysical Journal, Vol. 659, Issue 1
Including parameter dependence in the data and covariance for cosmological inference
journal, December 2015
- White, Martin; Padmanabhan, Nikhil
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 12
The evolution of large-scale structure in a universe dominated by cold dark matter
journal, May 1985
- Davis, M.; Efstathiou, G.; Frenk, C. S.
- The Astrophysical Journal, Vol. 292
Nonparametric Kernel Estimators for Image Classification
text, January 2012
- Poczos, Barnabas; Xiong, Liang; Sutherland, Dougal J.
- Carnegie Mellon University
Friendship stability in adolescence is associated with ventral striatum responses to vicarious rewards
journal, January 2021
- Schreuders, Elisabeth; Braams, Barbara R.; Crone, Eveline A.
- Nature Communications, Vol. 12, Issue 1
Optimization of probiotic therapeutics using machine learning in an artificial human gastrointestinal tract
journal, January 2021
- Westfall, Susan; Carracci, Francesca; Estill, Molly
- Scientific Reports, Vol. 11, Issue 1
Planck 2015 results : XIII. Cosmological parameters
journal, September 2016
- Ade, P. A. R.; Aghanim, N.; Arnaud, M.
- Astronomy & Astrophysics, Vol. 594
A First Look at Creating Mock Catalogs with Machine Learning Techniques
text, January 2013
- Xu, Xiaoying; Ho, Shirley; Trac, Hy
- Carnegie Mellon University
A Machine Learning Approach for Dynamical Mass Measurements of Galaxy Clusters
text, January 2018
- Ntampaka, Michelle; Trac, Hy; Sutherland, D. J.
- Figshare
Cosmology and Fundamental Physics with the Euclid Satellite
journal, September 2013
- Amendola, Luca; Appleby, Stephen; Bacon, David
- Living Reviews in Relativity, Vol. 16, Issue 1
Constraints on local primordial non-Gaussianity from large scale structure
text, January 2008
- Slosar, A.; Hirata, C.; Seljak, U.
- Institute of Physics Publishing
Planck 2015 results : VI. LFI mapmaking
journal, September 2016
- Ade, P. A. R.; Aghanim, N.; Ashdown, M.
- Astronomy & Astrophysics, Vol. 594
A Machine Learning Approach for Dynamical Mass Measurements of Galaxy Clusters
text, January 2018
- Ntampaka, Michelle; Trac, Hy; Sutherland, D. J.
- Figshare
Constraining primordial non-Gaussianity with future galaxy surveys
text, January 2012
- Giannantonio, Tommaso; Porciani, Cristiano; Carron, Julien
- ETH Zurich
Cosmology and fundamental physics with the Euclid satellite
text, January 2018
- Amendola, Luca; Appleby, Stephen; Avgoustidis, Anastasios
- ETH Zurich
Planck 2015 results : XVI. Isotropy and statistics of the CMB
journal, September 2016
- Ade, P. A. R.; Aghanim, N.; Akrami, Y.
- Astronomy & Astrophysics, Vol. 594
Nonparametric Kernel Estimators for Image Classification
text, January 2012
- Poczos, Barnabas; Xiong, Liang; Sutherland, Dougal J.
- Carnegie Mellon University
The Elements of Statistical Learning
book, January 2001
- Hastie, Trevor; Friedman, Jerome; Tibshirani, Robert
- Springer Series in Statistics
Planck 2015 results : XXVI. The Second
journal, September 2016
- Ade, P. A. R.; Aghanim, N.; Argüeso, F.
- Astronomy & Astrophysics, Vol. 594
The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
text, January 2007
- Dalal, Neal; Doré, Olivier; Huterer, Dragan
- arXiv
The non-Gaussianity of the cosmic shear likelihood - or: How odd is the Chandra Deep Field South?
text, January 2009
- Hartlap, J.; Schrabback, T.; Simon, P.
- arXiv
Evidence for Low Black Hole Spin and Physically Motivated Accretion Models from Millimeter VLBI Observations of Sagittarius A*
text, January 2010
- Broderick, Avery E.; Fish, Vincent L.; Doeleman, Sheperd S.
- arXiv
A New Method to Correct for Fiber Collisions in Galaxy Two-Point Statistics
text, January 2011
- Guo, Hong; Zehavi, Idit; Zheng, Zheng
- arXiv
Cosmology and fundamental physics with the Euclid satellite
text, January 2012
- Amendola, Luca; Appleby, Stephen; Bacon, David
- arXiv
The Clustering of Galaxies in SDSS-III DR9 Baryon Oscillation Spectroscopic Survey: Constraints on Primordial Non-Gaussianity
text, January 2012
- Ross, Ashley J.; Percival, Will J.; Carnero, Aurelio
- arXiv
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text, January 2012
- Kitaura, Francisco-Shu; Heß, Steffen
- arXiv
Improved Primordial Non-Gaussianity Constraints from Measurements of Galaxy Clustering and the Integrated Sachs-Wolfe Effect
text, January 2013
- Giannantonio, Tommaso; Ross, Ashley J.; Percival, Will J.
- arXiv
On estimating cosmology-dependent covariance matrices
text, January 2013
- Morrison, Christopher B.; Schneider, Michael D.
- arXiv
Modelling Baryon Acoustic Oscillations with Perturbation Theory and Stochastic Halo Biasing
text, January 2013
- Kitaura, Francisco-Shu; Yepes, Gustavo; Prada, Francisco
- arXiv
A Machine Learning Approach for Dynamical Mass Measurements of Galaxy Clusters
text, January 2014
- Ntampaka, Michelle; Trac, Hy; Sutherland, Danica J.
- arXiv
Halo mass distribution reconstruction across the cosmic web
preprint, January 2015
- Zhao, Cheng; Kitaura, Francisco-Shu; Chuang, Chia-Hsun
- arXiv
Measuring line-of-sight dependent Fourier-space clustering using FFTs
text, January 2015
- Bianchi, Davide; Gil-Marín, Héctor; Ruggeri, Rossana
- arXiv
Planck 2015 results. XI. CMB power spectra, likelihoods, and robustness of parameters
text, January 2015
- Collaboration, Planck; Aghanim, N.; Arnaud, M.
- arXiv
Dynamical Mass Measurements of Contaminated Galaxy Clusters Using Machine Learning
text, January 2015
- Ntampaka, M.; Trac, H.; Sutherland, D. J.
- arXiv
Perturbative approach to covariance matrix of the matter power spectrum
text, January 2016
- Mohammed, Irshad; Seljak, Uros; Vlah, Zvonimir
- arXiv
The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Observational systematics and baryon acoustic oscillations in the correlation function
text, January 2016
- Ross, Ashley J.; Beutler, Florian; Chuang, Chia-Hsun
- arXiv
Imprint of DESI fiber assignment on the anisotropic power spectrum of emission line galaxies
text, January 2016
- Pinol, Lucas; Cahn, Robert N.; Hand, Nick
- arXiv
Percolation Galaxy Groups and Clusters in the SDSS Redshift Survey: Identification, Catalogs, and the Multiplicity Function
text, January 2006
- Berlind, Andreas A.; Frieman, Joshua A.; Weinberg, David H.
- arXiv
The Bispectrum as a Signature of Gravitational Instability in Redshift-Space
text, January 1998
- Scoccimarro, Roman; Couchman, H. M. P.; Frieman, Joshua A.
- arXiv
Works referencing / citing this record:
Debiasing inference with approximate covariance matrices and other unidentified biases
journal, August 2019
- Sellentin, Elena; Starck, Jean-Luc
- Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 08