Use of the MULTINEST algorithm for gravitational wave data analysis

被引：52

作者：

Feroz, Farhan ^{[1
]}

Gair, Jonathan R. ^{[2
]}

Hobson, Michael P. ^{[1
]}

Porter, Edward K. ^{[3
]}

机构：

[1] Univ Cambridge, Cavendish Lab, Astrophys Grp, Cambridge CB3 0HE, England

[2] Univ Cambridge, Inst Astron, Cambridge CB3 0HA, England

[3] Univ Paris 07, UMR 7164, APC, F-75205 Paris 13, France

来源：

CLASSICAL AND QUANTUM GRAVITY | 2009年 / 26卷 / 21期

关键词：

BLACK-HOLE BINARIES; SEARCH;

D O I：

10.1088/0264-9381/26/21/215003

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We describe an application of the MULTINEST algorithm to gravitational wave data analysis. MULTINEST is a multimodal nested sampling algorithm designed to efficiently evaluate the Bayesian evidence and return posterior probability densities for likelihood surfaces containing multiple secondary modes. The algorithm employs a set of 'live' points which are updated by partitioning the set into multiple overlapping ellipsoids and sampling uniformly from within them. This set of 'live' points climbs up the likelihood surface through nested iso-likelihood contours and the evidence and posterior distributions can be recovered from the point set evolution. The algorithm is model independent in the sense that the specific problem being tackled enters only through the likelihood computation, and does not change how the 'live' point set is updated. In this paper, we consider the use of the algorithm for gravitational wave data analysis by searching a simulated LISA data set containing two non-spinning supermassive black hole binary signals. The algorithm is able to rapidly identify all the modes of the solution and recover the true parameters of the sources to high precision.

引用

页数：17

共 38 条

[1]

[Anonymous], ARXIV08093437

[2] Report on the first round of the mock LISA data challenges [J].

Arnaud, K. A. ;

Auger, G. ;

Babak, S. ;

Baker, J. G. ;

Benacquista, M. J. ;

Bloomer, E. ;

Brown, D. A. ;

Camp, J. B. ;

Cannizzo, J. K. ;

Christensen, N. ;

Clark, J. ;

Cornish, N. J. ;

Crowder, J. ;

Cutler, C. ;

Finn, L. S. ;

Halloin, H. ;

Hayama, K. ;

Hendry, M. ;

Jeannin, O. ;

Krolak, A. ;

Larson, S. L. ;

Mandel, I. ;

Messenger, C. ;

Meyer, R. ;

Mohanty, S. ;

Nayak, R. ;

Numata, K. ;

Petiteau, A. ;

Pitkin, M. ;

Plagnol, E. ;

Porter, E. K. ;

Prix, R. ;

Roever, C. ;

Stroeer, A. ;

Thirumalainambi, R. ;

Thompson, D. E. ;

Toher, J. ;

Umstaetter, R. ;

Vallisneri, M. ;

Vecchio, A. ;

Veitch, J. ;

Vinet, J-Y ;

TWhelan, J. ;

Woan, G. .

CLASSICAL AND QUANTUM GRAVITY, 2007, 24 (19) :S529-S539

[3] An algorithm for the detection of extreme mass ratio inspirals in LISA data [J].

Babak, Stanislav ;

Gair, Jonathan R. ;

Porter, Edward K. .

CLASSICAL AND QUANTUM GRAVITY, 2009, 26 (13)

[4] Building a stochastic template bank for detecting massive black hole binaries [J].

Babak, Stanislav .

CLASSICAL AND QUANTUM GRAVITY, 2008, 25 (19)

[5] Report on the second Mock LISA data challenge [J].

Babak, Stanislav ;

Baker, John G. ;

Benacquista, Matthew J. ;

Cornish, Neil J. ;

Crowder, Jeff ;

Cutler, Curt ;

Larson, Shane L. ;

Littenberg, Tyson B. ;

Porter, Edward K. ;

Vallisneri, Michele ;

Vecchio, Alberto ;

Auger, Gerard ;

Barack, Leor ;

Blaut, Arkadiusz ;

Bloomer, Ed ;

Brown, Duncan A. ;

Christensen, Nelson ;

Clark, James ;

Fairhurst, Stephen ;

Gair, Jonathan R. ;

Halloin, Hubert ;

Hendry, Martin ;

Jimenez, Arturo ;

Krolak, Andrzej ;

Mandel, Ilya ;

Messenger, Chris ;

Meyer, Renate ;

Mohanty, Soumya ;

Nayak, Rajesh ;

Petiteau, Antoine ;

Pitkin, Matt ;

Plagnol, Eric ;

Prix, Reinhard ;

Robinson, Emma L. ;

Roever, Christian ;

Savov, Pavlin ;

Stroeer, Alexander ;

Toher, Jennifer ;

Veitch, John ;

Vinet, Jean-Yves ;

Wen, Linqing ;

Whelan, John T. ;

Woan, Graham .

CLASSICAL AND QUANTUM GRAVITY, 2008, 25 (11)

[6] The Mock LISA Data Challenges:: from Challenge 1B to Challenge 3 [J].

Babak, Stanislav ;

Baker, John G. ;

Benacquista, Matthew J. ;

Cornish, Neil J. ;

Crowder, Jeff ;

Larson, Shane L. ;

Plagnol, Eric ;

Porter, Edward K. ;

Vallisneri, Michele ;

Vecchio, Alberto ;

Arnaud, Keith ;

Barack, Leor ;

Blaut, Arkadiusz ;

Cutler, Curt ;

Fairhurst, Stephen ;

Gair, Jonathan ;

Gong, Xuefei ;

Harry, Ian ;

Khurana, Deepak ;

Krolak, Andrzej ;

Mandel, Ilya ;

Prix, Reinhard ;

Sathyaprakash, B. S. ;

Savov, Pavlin ;

Shang, Yu ;

Trias, Miquel ;

Veitch, John ;

Wang, Yan ;

Wen, Linqing ;

Whelan, John T. .

CLASSICAL AND QUANTUM GRAVITY, 2008, 25 (18)

[7] Gravitational waveforms from inspiralling compact binaries to second-post-Newtonian order [J].

Blanchet, L ;

Iyer, BR ;

Will, CM ;

Wiseman, AG .

CLASSICAL AND QUANTUM GRAVITY, 1996, 13 (04) :575-584

[8] A three-stage search for supermassive black-hole binaries in LISA data [J].

Brown, Duncan A. ;

Crowder, Jeff ;

Cutler, Curt ;

Mandel, Ilya ;

Vallisneri, Michele .

CLASSICAL AND QUANTUM GRAVITY, 2007, 24 (19) :S595-S605

[9] The search for massive black hole binaries with LISA [J].

Cornish, Neil J. ;

Porter, Edward K. .

CLASSICAL AND QUANTUM GRAVITY, 2007, 24 (23) :5729-5755

[10] Catching supermassive black hole binaries without a net [J].

Cornish, Neil J. ;

Porter, Edward K. .

PHYSICAL REVIEW D, 2007, 75 (02)

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