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Related papers: Hierarchical multi-stage MCMC follow-up of continu…

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We introduce a new Markov-Chain Monte Carlo (MCMC) approach designed for efficient sampling of highly correlated and multimodal posteriors. Parallel tempering, though effective, is a costly technique for sampling such posteriors. Our…

Instrumentation and Methods for Astrophysics · Physics 2014-10-01 Benjamin Farr , Vicky Kalogera , Erik Luijten

We present the first application of a hierarchical Markov Chain Monte Carlo (MCMC) follow-up on continuous gravitational-wave candidates from real-data searches. The follow-up uses an MCMC sampler to draw parameter-space points from the…

General Relativity and Quantum Cosmology · Physics 2021-10-04 Rodrigo Tenorio , David Keitel , Alicia M. Sintes

The search for continuous gravitational waves from unknown isolated sources is computationally limited due to the enormous parameter space that needs to be covered and the weakness of the expected signals. Therefore semi-coherent search…

General Relativity and Quantum Cosmology · Physics 2013-11-26 Miroslav Shaltev , Reinhard Prix

We develop a general formalism for the parameter-space metric of the multi-detector F-statistic, which is a matched-filtering detection statistic for continuous gravitational waves. We find that there exists a whole family of F-statistic…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Reinhard Prix

It is computationally expensive to search the large parameter space associated with a gravitational wave signal of uncertain frequency, such as might be expected from the possible pulsar generated by SN1987A. To address this difficulty we…

General Relativity and Quantum Cosmology · Physics 2009-11-11 John Veitch , Richard Umstaetter , Renate Meyer , Nelson Christensen , Graham Woan

In this work, the focus is on the improvement of the existing post-Newtonian approximation for the gravitational flux from Super Massive Black Hole Binaries. In order to improve the existing templates for LISA, we need more accurate…

General Relativity and Quantum Cosmology · Physics 2012-06-06 Prayush Kumar

We propose a sequential Markov chain Monte Carlo (SMCMC) algorithm to sample from a sequence of probability distributions, corresponding to posterior distributions at different times in on-line applications. SMCMC proceeds as in usual MCMC…

Statistics Theory · Mathematics 2013-08-20 Yun Yang , David B. Dunson

Pulsar timing arrays (PTAs) detect low-frequency gravitational waves (GWs) by looking for correlated deviations in pulse arrival times. Current Bayesian searches use Markov Chain Monte Carlo (MCMC) methods, which struggle to sample the…

Instrumentation and Methods for Astrophysics · Physics 2023-03-08 Gabriel E. Freedman , Aaron D. Johnson , Rutger van Haasteren , Sarah J. Vigeland

Potentially interesting gravitational-wave candidates (outliers) from the blind all-sky searches have to be confirmed or rejected by studying their origin and precisely estimating their parameters. We present the design and first results…

Instrumentation and Methods for Astrophysics · Physics 2018-10-05 Magdalena Sieniawska , Michał Bejger , Paweł Ciecieląg , Andrzej Królak

Variable selection is a key issue when analyzing high-dimensional data. The explosion of data with large sample sizes and dimensionality brings new challenges to this problem in both inference accuracy and computational complexity. To…

Methodology · Statistics 2016-11-30 Xu Chen , Shaan Qamar , Surya T. Tokdar

We explore a general framework in Markov chain Monte Carlo (MCMC) sampling where sequential proposals are tried as a candidate for the next state of the Markov chain. This sequential-proposal framework can be applied to various existing…

Computation · Statistics 2019-08-21 Joonha Park , Yves F. Atchadé

We describe the consistency testing of a new code for gravitational wave signal parameter estimation in known pulsar searches. The code uses an implementation of nested sampling to explore the likelihood volume. Using fake signals and…

High Energy Astrophysical Phenomena · Physics 2015-06-04 M. Pitkin , C. Gill , J. Veitch , E. Macdonald , G. Woan

We present a Markov-chain Monte-Carlo (MCMC) technique to study the source parameters of gravitational-wave signals from the inspirals of stellar-mass compact binaries detected with ground-based gravitational-wave detectors such as LIGO and…

General Relativity and Quantum Cosmology · Physics 2009-11-04 Marc van der Sluys , Vivien Raymond , Ilya Mandel , Christian Roever , Nelson Christensen , Vicky Kalogera , Renate Meyer , Alberto Vecchio

Searches for continuous gravitational waves from unknown sources attempt to detect long-lasting gravitational radiation by identifying Doppler-modulated signatures in the data. Semicoherent methods allow for wide parameter space surveys,…

General Relativity and Quantum Cosmology · Physics 2021-03-26 Rodrigo Tenorio , David Keitel , Alicia M. Sintes

Due to the escalating growth of big data sets in recent years, new Bayesian Markov chain Monte Carlo (MCMC) parallel computing methods have been developed. These methods partition large data sets by observations into subsets. However, for…

Methodology · Statistics 2019-01-21 Zheng Wei , Erin M. Conlon

Sequential Monte Carlo (SMC) methods comprise one of the most successful approaches to approximate Bayesian filtering. However, SMC without good proposal distributions struggle in high dimensions. We propose nested sequential Monte Carlo…

Computation · Statistics 2016-12-30 Christian A. Naesseth , Fredrik Lindsten , Thomas B. Schön

Recent advances in stochastic gradient techniques have made it possible to estimate posterior distributions from large datasets via Markov Chain Monte Carlo (MCMC). However, when the target posterior is multimodal, mixing performance is…

Machine Learning · Statistics 2018-01-12 Yizhe Zhang , Changyou Chen , Zhe Gan , Ricardo Henao , Lawrence Carin

We present a new type of search strategy designed specifically to find continuously emitting gravitational wave sources in known binary systems based on the incoherent sum of frequency modulated binary signal sidebands. The search pipeline…

General Relativity and Quantum Cosmology · Physics 2008-11-26 C. Messenger , G. Woan

Particle Markov Chain Monte Carlo (PMCMC) is a general computational approach to Bayesian inference for general state space models. Our article scales up PMCMC in terms of the number of observations and parameters by generating the…

Methodology · Statistics 2023-07-04 David Gunawan , Chris Carter , Robert Kohn

It is well known that matched filtering techniques cannot be applied for searching extensive parameter space volumes for continuous gravitational wave signals. This is the reason why alternative strategies are being pursued. Hierarchical…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. A. Papa , B. F. Schutz , A. M. Sintes
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