Bayesian Model Selection for Spatial Clustering in 3D Surveys

F. Murtagh; C. Donalek; G. Longo; R. Tagliaferri

doi:10.1117/12.461126

Bayesian Model Selection for Spatial Clustering in 3D Surveys

F. Murtagh, C. Donalek, G. Longo, R. Tagliaferri

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Citations (Scopus)

Abstract

In this preliminary work on galaxy clustering, we study clusters of arbitrary shape using a 3D galaxy catalog (celestial coordinates and photometric redshifts) derived from Sloan Digital Sky Survey Early Release Data. Spatial influence is modeled using a Markov random field. Comparative model assessment is carried out using an approximation to Bayes factors, viz. the posterior odds of a hypothesis of a given number of clusters versus another. We conclude with a discussion of promising future research directions.

Original language	English
Title of host publication	Astronomical Data Analysis II
Editors	Jean-Luc Starck, Fionn D. Murtagh
Publisher	SPIE
Pages	391-401
Number of pages	11
Volume	4847
DOIs	https://doi.org/10.1117/12.461126
Publication status	Published - 19 Dec 2002
Externally published	Yes
Event	Astronomical Telescopes and Instrumentation - Waikoloa, United States Duration: 22 Aug 2002 → 28 Aug 2002 Conference number: 2

Publication series

Name	Proceedings of SPIE - The International Society for Optical Engineering
Publisher	SPIE
Volume	4847
ISSN (Print)	0277-786X

Conference

Conference	Astronomical Telescopes and Instrumentation
Country/Territory	United States
City	Waikoloa
Period	22/08/02 → 28/08/02

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Cite this

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title = "Bayesian Model Selection for Spatial Clustering in 3D Surveys",

abstract = "In this preliminary work on galaxy clustering, we study clusters of arbitrary shape using a 3D galaxy catalog (celestial coordinates and photometric redshifts) derived from Sloan Digital Sky Survey Early Release Data. Spatial influence is modeled using a Markov random field. Comparative model assessment is carried out using an approximation to Bayes factors, viz. the posterior odds of a hypothesis of a given number of clusters versus another. We conclude with a discussion of promising future research directions.",

keywords = "Astronomical surveys, Bayes factors, Cluster analysis, Galaxy cluster catalogs, Gibbs distribution, Markov random fields, Model selection, Galactic astronomy, 3D modeling, Expectation maximization algorithms, Astronomy, Galaxy groups and clusters, Error analysis, Spectroscopy, Contamination, Data modeling, Statistical analysis",

author = "F. Murtagh and C. Donalek and G. Longo and R. Tagliaferri",

year = "2002",

month = dec,

day = "19",

doi = "10.1117/12.461126",

language = "English",

volume = "4847",

series = "Proceedings of SPIE - The International Society for Optical Engineering",

publisher = "SPIE",

pages = "391--401",

editor = "Jean-Luc Starck and Murtagh, {Fionn D.}",

booktitle = "Astronomical Data Analysis II",

address = "United States",

note = "Astronomical Telescopes and Instrumentation ; Conference date: 22-08-2002 Through 28-08-2002",

}

Murtagh, F, Donalek, C, Longo, G & Tagliaferri, R 2002, Bayesian Model Selection for Spatial Clustering in 3D Surveys. in J-L Starck & FD Murtagh (eds), Astronomical Data Analysis II. vol. 4847, Proceedings of SPIE - The International Society for Optical Engineering, vol. 4847, SPIE, pp. 391-401, Astronomical Telescopes and Instrumentation, Waikoloa, Hawaii, United States, 22/08/02. https://doi.org/10.1117/12.461126

Bayesian Model Selection for Spatial Clustering in 3D Surveys. / Murtagh, F.; Donalek, C.; Longo, G. et al.

Astronomical Data Analysis II. ed. / Jean-Luc Starck; Fionn D. Murtagh. Vol. 4847 SPIE, 2002. p. 391-401 (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 4847).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Bayesian Model Selection for Spatial Clustering in 3D Surveys

AU - Murtagh, F.

AU - Donalek, C.

AU - Longo, G.

AU - Tagliaferri, R.

N1 - Conference code: 2

PY - 2002/12/19

Y1 - 2002/12/19

N2 - In this preliminary work on galaxy clustering, we study clusters of arbitrary shape using a 3D galaxy catalog (celestial coordinates and photometric redshifts) derived from Sloan Digital Sky Survey Early Release Data. Spatial influence is modeled using a Markov random field. Comparative model assessment is carried out using an approximation to Bayes factors, viz. the posterior odds of a hypothesis of a given number of clusters versus another. We conclude with a discussion of promising future research directions.

AB - In this preliminary work on galaxy clustering, we study clusters of arbitrary shape using a 3D galaxy catalog (celestial coordinates and photometric redshifts) derived from Sloan Digital Sky Survey Early Release Data. Spatial influence is modeled using a Markov random field. Comparative model assessment is carried out using an approximation to Bayes factors, viz. the posterior odds of a hypothesis of a given number of clusters versus another. We conclude with a discussion of promising future research directions.

KW - Astronomical surveys

KW - Bayes factors

KW - Cluster analysis

KW - Galaxy cluster catalogs

KW - Gibbs distribution

KW - Markov random fields

KW - Model selection

KW - Galactic astronomy

KW - 3D modeling

KW - Expectation maximization algorithms

KW - Astronomy

KW - Galaxy groups and clusters

KW - Error analysis

KW - Spectroscopy

KW - Contamination

KW - Data modeling

KW - Statistical analysis

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U2 - 10.1117/12.461126

DO - 10.1117/12.461126

M3 - Conference contribution

AN - SCOPUS:0037964050

VL - 4847

T3 - Proceedings of SPIE - The International Society for Optical Engineering

SP - 391

EP - 401

BT - Astronomical Data Analysis II

A2 - Starck, Jean-Luc

A2 - Murtagh, Fionn D.

PB - SPIE

T2 - Astronomical Telescopes and Instrumentation

Y2 - 22 August 2002 through 28 August 2002

ER -

Bayesian Model Selection for Spatial Clustering in 3D Surveys

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