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A hidden Markov model (HMM) solved recursively by the Viterbi algorithm can be configured to search for persistent, quasimonochromatic gravitational radiation from an isolated or accreting neutron star, whose rotational frequency is unknown…

General Relativity and Quantum Cosmology · Physics 2021-09-01 A. Melatos , P. Clearwater , S. Suvorova , L. Sun , W. Moran , R. J. Evans

Gravitational wave searches for continuous-wave signals from neutron stars are especially challenging when the star's spin frequency is unknown a priori from electromagnetic observations and wanders stochastically under the action of…

Instrumentation and Methods for Astrophysics · Physics 2016-07-13 S. Suvorova , L. Sun , A. Melatos , W. Moran , R. J. Evans

A hidden Markov model (HMM) scheme for tracking continuous-wave gravitational radiation from neutron stars in low-mass X-ray binaries (LMXBs) with wandering spin is extended by introducing a frequency-domain matched filter, called the…

Instrumentation and Methods for Astrophysics · Physics 2017-11-29 S. Suvorova , P. Clearwater , A. Melatos , L. Sun , W. Moran , R. J. Evans

Persistent gravitational waves from rapidly rotating neutron stars, such as those found in some young supernova remnants, may fall in the sensitivity band of the advanced Laser Interferometer Gravitational-wave Observatory (aLIGO). Searches…

General Relativity and Quantum Cosmology · Physics 2020-10-26 Margaret Millhouse , Lucy Strang , Andrew Melatos

The nature of the post-merger remnant of the first binary neutron star coalescence observed by the Advanced Laser Interferometer Gravitational Wave Observatory (Advanced LIGO) and Advanced Virgo, GW170817, is unknown. Searches have been…

Instrumentation and Methods for Astrophysics · Physics 2019-06-12 Ling Sun , Andrew Melatos

Searches for continuous gravitational waves from rapidly spinning neutron stars normally assume that the star rotates about one of its principal axes of moment of inertia, and hence the gravitational radiation emits only at twice the spin…

Instrumentation and Methods for Astrophysics · Physics 2019-06-19 Ling Sun , Andrew Melatos , Paul D. Lasky

Hidden semi-Markov models (HSMMs) are latent variable models which allow latent state persistence and can be viewed as a generalization of the popular hidden Markov models (HMMs). In this paper, we introduce a novel spectral algorithm to…

Machine Learning · Statistics 2016-03-01 Igor Melnyk , Arindam Banerjee

Hidden Markov models (HMMs) are one of the most widely used statistical methods for analyzing sequence data. However, the reporting of output from HMMs has largely been restricted to the presentation of the most-probable (MAP) hidden state…

Methodology · Statistics 2015-05-01 Michalis K. Titsias , Christopher Yau , Christopher C. Holmes

Hidden Markov Models (HMMs) can be accurately approximated using co-occurrence frequencies of pairs and triples of observations by using a fast spectral method in contrast to the usual slow methods like EM or Gibbs sampling. We provide a…

Machine Learning · Statistics 2012-03-29 Dean P. Foster , Jordan Rodu , Lyle H. Ungar

A number of detections have been made in the past few years of gravitational waves from compact binary coalescences. While there exist well-understood waveform models for signals from compact binary coalescences, many sources of…

Instrumentation and Methods for Astrophysics · Physics 2019-07-24 Sharan Banagiri , Ling Sun , Michael W. Coughlin , Andrew Melatos

Recently, there has been a surge of interest in using spectral methods for estimating latent variable models. However, it is usually assumed that the distribution of the observations conditioned on the latent variables is either discrete or…

Machine Learning · Statistics 2016-09-22 Kirthevasan Kandasamy , Maruan Al-Shedivat , Eric P. Xing

Results are presented from a semicoherent search for continuous gravitational waves from a nearby neutron star candidate, Fomalhaut b, using data collected in the second observing run of Advanced LIGO. The search is based on a hidden Markov…

General Relativity and Quantum Cosmology · Physics 2021-06-18 Dana Jones , Ling Sun

Discovering radio pulsars in compact binaries, whose orbital periods $P_{\rm b}$ satisfy $P_{\rm b} \lesssim 1 \, \rm{day}$, is computationally challenging, because the time-dependent pulse frequency $f_{\rm p}(t)$ is strongly Doppler…

High Energy Astrophysical Phenomena · Physics 2026-01-05 Joseph O'Leary , Liam Dunn , Andrew Melatos

In GNSS-denied environments, aiding a vehicle's inertial navigation system (INS) is crucial to reducing the accumulated navigation drift caused by sensor errors (e.g. bias and noise). One potential solution is to use measurements of gravity…

Robotics · Computer Science 2022-04-25 Wenchao Li , Christopher Gilliam , Xuezhi Wang , Allison Kealy , Andrew D. Greentree , Bill Moran

Hidden Markov models are traditionally decoded by the Viterbi algorithm which finds the highest probability state path in the model. In recent years, several limitations of the Viterbi decoding have been demonstrated, and new algorithms…

Data Structures and Algorithms · Computer Science 2013-08-06 Michal Nánási , Tomáš Vinař , Broňa Brejová

Isolated neutron stars are prime targets for continuous-wave (CW) searches by ground-based gravitational$-$wave interferometers. Results are presented from a CW search targeting ten pulsars. The search uses a semicoherent algorithm, which…

High Energy Astrophysical Phenomena · Physics 2021-04-22 Deeksha Beniwal , Patrick Clearwater , Liam Dunn , Andrew Melatos , David Ottaway

Hidden Markov models (HMMs) and their variants were successfully used for several sequence annotation tasks. Traditionally, inference with HMMs is done using the Viterbi and posterior decoding algorithms. However, recently a variety of…

Data Structures and Algorithms · Computer Science 2012-10-10 Michal Nánási , Tomáš Vinař , Broňa Brejová

We introduce a quantum Viterbi decoding algorithm for hidden quantum Markov models (HQMMs) motivated by quantum information processing and quantum algorithms. Given a finite sequence of measurement outcomes, the algorithm identifies hidden…

A search is performed for continuous gravitational waves emitted by unknown neutron stars in five nearby globular clusters using data from the third Laser Interferometer Gravitational-Wave Observatory (LIGO) observing run, over the…

General Relativity and Quantum Cosmology · Physics 2025-03-21 L. Dunn , A. Melatos , P. Clearwater , S. Suvorova , L. Sun , W. Moran , R. J. Evans

A strategy is devised for a semi-coherent cross-correlation search for a young neutron star in the supernova remnant SNR 1987A, using science data from the Initial LIGO and/or Virgo detectors. An astrophysical model for the gravitational…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Christine Chung , Andrew Melatos , Badri Krishnan , John T. Whelan
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