Optimal linear reconstruction of dark matter from halo catalogues

Cai, Yan -Chuan; Bernstein, Gary; Sheth, Ravi K.

doi:10.1111/j.1365-2966.2010.17969.x

Title: Optimal linear reconstruction of dark matter from halo catalogues

Abstract

The dark matter lumps (or "halos") that contain galaxies have locations in the Universe that are to some extent random with respect to the overall matter distributions. We investigate how best to estimate the total matter distribution from the locations of the halos. We derive the weight function w(M) to apply to dark-matter haloes that minimizes the stochasticity between the weighted halo distribution and its underlying mass density field. The optimal w(M) depends on the range of masses of halos being used. While the standard biased-Poisson model of the halo distribution predicts that bias weighting is optimal, the simple fact that the mass is comprised of haloes implies that the optimal w(M) will be a mixture of mass-weighting and bias-weighting. In N-body simulations, the Poisson estimator is up to 15× noisier than the optimal. Optimal weighting could make cosmological tests based on the matter power spectrum or cross-correlations much more powerful and/or cost effective.

Authors:

Cai, Yan -Chuan ^[1]; Bernstein, Gary ^[1]; Sheth, Ravi K. ^[1]

Univ. of Pennsylvania, Philadelphia, PA (United States)

Publication Date:: Fri Apr 01 00:00:00 EDT 2011

Research Org.:: Univ. of Pennsylvania, Philadelphia, PA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1203600

Grant/Contract Number:: FG02-95ER40893

Resource Type:: Accepted Manuscript

Journal Name:: Monthly Notices of the Royal Astronomical Society

Additional Journal Information:: Journal Volume: 412; Journal Issue: 2; Journal ID: ISSN 0035-8711

Publisher:: Royal Astronomical Society

Country of Publication:: United States

Language:: English

Subject:: 79 ASTRONOMY AND ASTROPHYSICS; dark-matter halos; halos-cosmology; theory-dark matter; gravitational lensing; analytical-methods; numerical

Citation Formats


                    Cai, Yan -Chuan, Bernstein, Gary, and Sheth, Ravi K. Optimal linear reconstruction of dark matter from halo catalogues.  United States: N. p., 2011. 
Web.  doi:10.1111/j.1365-2966.2010.17969.x.

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                    Cai, Yan -Chuan, Bernstein, Gary, & Sheth, Ravi K. Optimal linear reconstruction of dark matter from halo catalogues.  United States.  https://doi.org/10.1111/j.1365-2966.2010.17969.x

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                    Cai, Yan -Chuan, Bernstein, Gary, and Sheth, Ravi K. Fri .  
"Optimal linear reconstruction of dark matter from halo catalogues".  United States.  https://doi.org/10.1111/j.1365-2966.2010.17969.x.  https://www.osti.gov/servlets/purl/1203600.

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@article{osti_1203600,

  title        = {Optimal linear reconstruction of dark matter from halo catalogues},

  author       = {Cai, Yan -Chuan and Bernstein, Gary and Sheth, Ravi K.},

  abstractNote = {The dark matter lumps (or "halos") that contain galaxies have locations in the Universe that are to some extent random with respect to the overall matter distributions. We investigate how best to estimate the total matter distribution from the locations of the halos. We derive the weight function w(M) to apply to dark-matter haloes that minimizes the stochasticity between the weighted halo distribution and its underlying mass density field. The optimal w(M) depends on the range of masses of halos being used. While the standard biased-Poisson model of the halo distribution predicts that bias weighting is optimal, the simple fact that the mass is comprised of haloes implies that the optimal w(M) will be a mixture of mass-weighting and bias-weighting. In N-body simulations, the Poisson estimator is up to 15× noisier than the optimal. Optimal weighting could make cosmological tests based on the matter power spectrum or cross-correlations much more powerful and/or cost effective.},

  doi          = {10.1111/j.1365-2966.2010.17969.x},

  journal      = {Monthly Notices of the Royal Astronomical Society},

  number       = 2,

  volume       = 412,

  place        = {United States},

  year         = {Fri Apr 01 00:00:00 EDT 2011},

  month        = {Fri Apr 01 00:00:00 EDT 2011}

}

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Works referencing / citing this record:

Optimal weighting in galaxy surveys: Application to redshift-space distortions
text, January 2012

Hamaus, Nico; Seljak, Uroš; Desjacques, Vincent
American Physical Society
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Relativistic effects in galaxy clustering in a parametrized post-Friedmann universe
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Lombriser, Lucas; Yoo, Jaiyul; Koyama, Kazuya
arXiv
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Title: Optimal linear reconstruction of dark matter from halo catalogues

Abstract

Citation Formats

Strong clustering of underdense regions and the environmental dependence of clustering from Gaussian initial conditions journal, June 2007

The statistics of peaks of Gaussian random fields journal, May 1986

Dark Energy Constraints from Weak‐Lensing Cross‐Correlation Cosmography journal, January 2004

Halo stochasticity in global clustering analysis journal, July 2009

Biased clustering in the cold dark matter cosmogony journal, April 1989

The evolution of large-scale structure in a universe dominated by cold dark matter journal, May 1985

Stochastic Nonlinear Galaxy Biasing journal, July 1999

A New Method For Galaxy Cluster Detection. I. The Algorithm journal, October 2000

Minimizing the stochasticity of halos in large-scale structure surveys journal, August 2010

MaxBCG: A Red‐Sequence Galaxy Cluster Finder journal, May 2007

Large-scale bias and the inaccuracy of the peak-background split: Large-scale bias journal, December 2009

An analytic model for the spatial clustering of dark matter haloes journal, September 1996

Inductively Coupled Plasma Sources and Applications journal, January 2010

Combined Effects of Galaxy Interactions and Large-Scale Environment on Galaxy Properties journal, February 2009

Gravitational Potential Environment of Galaxies. i. Simulation journal, April 2010

Beating lensing cosmic variance with galaxy tomography journal, June 2004

Fourier analysis of luminosity-dependent galaxy clustering journal, January 2004

Transients from initial conditions: a perturbative analysis journal, October 1998

How Many Galaxies Fit in a Halo? Constraints on Galaxy Formation Efficiency from Spatial Clustering journal, January 2001

Large-scale bias and stochasticity of haloes and dark matter journal, November 2004

A Line-of-Sight Integration Approach to Cosmic Microwave Background Anisotropies journal, October 1996

How to Suppress the Shot Noise in Galaxy Surveys journal, August 2009

The halo-model description of marked statistics journal, December 2005

Peculiar velocities of galaxies and clusters journal, April 2001

Substructure and the halo model of large-scale structure journal, October 2003

Biasing and the distribution of dark matter haloes journal, April 1999

Large-scale bias and the peak background split journal, September 1999

An excursion set model of hierarchical clustering: ellipsoidal collapse and the moving barrier journal, January 2002

Scale dependence of halo and galaxy bias: Effects in real space journal, March 2007

The cosmological simulation code gadget-2 journal, December 2005

Simulations of the formation, evolution and clustering of galaxies and quasars journal, June 2005

Karhunen‐Loeve Eigenvalue Problems in Cosmology: How Should We Tackle Large Data Sets? journal, May 1997

The Luminosity and Color Dependence of the Galaxy Correlation Function journal, September 2005

Halo Occupation Distribution Modeling of Clustering of Luminous red Galaxies journal, November 2009

Optimal weighting in galaxy surveys: Application to redshift-space distortions text, January 2012

Relativistic effects in galaxy clustering in a parametrized post-Friedmann universe text, January 2013

Relativistic effects in galaxy clustering in a parametrized post-Friedmann universe text, January 2013

Strong clustering of underdense regions and the environmental dependence of clustering from Gaussian initial conditions
journal, June 2007

The statistics of peaks of Gaussian random fields
journal, May 1986

Dark Energy Constraints from Weak‐Lensing Cross‐Correlation Cosmography
journal, January 2004

Halo stochasticity in global clustering analysis
journal, July 2009

Biased clustering in the cold dark matter cosmogony
journal, April 1989

The evolution of large-scale structure in a universe dominated by cold dark matter
journal, May 1985

Stochastic Nonlinear Galaxy Biasing
journal, July 1999

A New Method For Galaxy Cluster Detection. I. The Algorithm
journal, October 2000

Minimizing the stochasticity of halos in large-scale structure surveys
journal, August 2010

MaxBCG: A Red‐Sequence Galaxy Cluster Finder
journal, May 2007

Large-scale bias and the inaccuracy of the peak-background split: Large-scale bias
journal, December 2009

An analytic model for the spatial clustering of dark matter haloes
journal, September 1996

Inductively Coupled Plasma Sources and Applications
journal, January 2010

Combined Effects of Galaxy Interactions and Large-Scale Environment on Galaxy Properties
journal, February 2009

Gravitational Potential Environment of Galaxies. i. Simulation
journal, April 2010

Beating lensing cosmic variance with galaxy tomography
journal, June 2004

Fourier analysis of luminosity-dependent galaxy clustering
journal, January 2004

Transients from initial conditions: a perturbative analysis
journal, October 1998

How Many Galaxies Fit in a Halo? Constraints on Galaxy Formation Efficiency from Spatial Clustering
journal, January 2001

Large-scale bias and stochasticity of haloes and dark matter
journal, November 2004

A Line-of-Sight Integration Approach to Cosmic Microwave Background Anisotropies
journal, October 1996

How to Suppress the Shot Noise in Galaxy Surveys
journal, August 2009

The halo-model description of marked statistics
journal, December 2005

Peculiar velocities of galaxies and clusters
journal, April 2001

Substructure and the halo model of large-scale structure
journal, October 2003

Biasing and the distribution of dark matter haloes
journal, April 1999

Large-scale bias and the peak background split
journal, September 1999

An excursion set model of hierarchical clustering: ellipsoidal collapse and the moving barrier
journal, January 2002

Scale dependence of halo and galaxy bias: Effects in real space
journal, March 2007

The cosmological simulation code gadget-2
journal, December 2005

Simulations of the formation, evolution and clustering of galaxies and quasars
journal, June 2005

Karhunen‐Loeve Eigenvalue Problems in Cosmology: How Should We Tackle Large Data Sets?
journal, May 1997

The Luminosity and Color Dependence of the Galaxy Correlation Function
journal, September 2005

Halo Occupation Distribution Modeling of Clustering of Luminous red Galaxies
journal, November 2009

Optimal weighting in galaxy surveys: Application to redshift-space distortions
text, January 2012

Relativistic effects in galaxy clustering in a parametrized post-Friedmann universe
text, January 2013

Relativistic effects in galaxy clustering in a parametrized post-Friedmann universe
text, January 2013