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We propose a new sampling-based approach for approximate inference in filtering problems. Instead of approximating conditional distributions with a finite set of states, as done in particle filters, our approach approximates the…

Machine Learning · Computer Science 2020-03-03 Xuan Su , Wee Sun Lee , Zhen Zhang

Gaussian Mixture Models (GMMs) are one of the most potent parametric density models used extensively in many applications. Flexibly-tied factorization of the covariance matrices in GMMs is a powerful approach for coping with the challenges…

Machine Learning · Computer Science 2023-11-14 Mohammad Pasande , Reshad Hosseini , Babak Nadjar Araabi

The extraction of the gravitational wave signal, within the context of a characteristic numerical evolution is revisited. A formula for the gravitational wave strain is developed and tested, and is made publicly available as part of the…

General Relativity and Quantum Cosmology · Physics 2013-12-18 Nigel T Bishop , Christian Reisswig

Binary Systems are the most studied sources of gravitational waves. The mechanisms of emission and the behavior of the orbital parameters are well known and can be written in analytic form in several cases. Besides, the strongest indication…

Cosmology and Nongalactic Astrophysics · Physics 2015-04-24 E. F. D. Evangelista , J. C. N. de Araujo

Gravitational wave searches rely on a combination of methods, including matched filtering, coherent analyses, and more recent machine learning based pipelines. For compact binary coalescences, where signals originate from the relativistic…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Lorenzo Mobilia , Tito Dal Canton , Gianluca Maria Guidi

Background estimation is important for determining the statistical significance of a gravitational-wave event. Currently, the background model is constructed numerically from the strain data using estimation techniques that insulate the…

A new approach to the problem of gravitational waves detection based on simultaneous timing of several pulsars and subsequent expansion of the post-fit timing data into components of different spectral kind (with different spectral indices)…

Instrumentation and Methods for Astrophysics · Physics 2015-05-20 Alexander E. Rodin

Once upon a time, predictions for the accuracy of inference on gravitational-wave signals relied on computationally inexpensive but often inaccurate techniques. Recently, the approach has shifted to actual inference on noisy signals with…

Instrumentation and Methods for Astrophysics · Physics 2015-12-09 Carl-Johan Haster , Ilya Mandel , Will M. Farr

Modeling the stochastic gravitational wave background from various astrophysical sources is a key objective in view of upcoming observations with ground- and space-based gravitational wave observatories such as Advanced LIGO, VIRGO, eLISA…

High Energy Astrophysical Phenomena · Physics 2016-12-07 Irina Dvorkin , Jean-Philippe Uzan , Elisabeth Vangioni , Joseph Silk

The sensitivity of gravitational wave searches is reduced by the presence of non-Gaussian noise in the detector data. These non-Gaussianities often match well with the template waveforms used in matched filter searches, and require…

General Relativity and Quantum Cosmology · Physics 2022-05-26 Connor McIsaac , Ian Harry

Gravitational-wave analyses depend heavily on waveforms that model the evolution of compact binary coalescences as seen by observing detectors. In many cases these waveforms are given by waveform approximants, models that approximate the…

General Relativity and Quantum Cosmology · Physics 2024-10-11 Quirijn Meijer , Sarah Caudill

We consider multiscale stochastic systems that are partially observed at discrete points of the slow time scale. We introduce a particle filter that takes advantage of the multiscale structure of the system to efficiently approximate the…

Computation · Statistics 2007-10-29 Anastasia Papavasiliou

Standard methodologies for the extraction of the stochastic gravitational wave background (SGWB) from auto- or cross-correlation of interferometric signals often involve the use of a filter function. The standard optimal filter maximizes…

General Relativity and Quantum Cosmology · Physics 2021-06-16 Davide Poletti

A common technique for detection of gravitational-wave signals is searching for excess power in frequency-time maps of gravitational-wave detector data. In the event of a detection, model selection and parameter estimation will be performed…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Michael Coughlin , Nelson Christensen , Jonathan Gair , Shivaraj Kandhasamy , Eric Thrane

We study the problem of all sky search in reference to continuous gravitational wave (CGW) whose wave-form are known in advance. We employ the concept of Fitting Factor and study the variation in the bank of search templates with different…

Astrophysics · Physics 2007-05-23 S. K. Sahay

Coherent wide parameter-space searches for continuous gravitational waves are typically limited in sensitivity by their prohibitive computing cost. Therefore semi-coherent methods (such as StackSlide) can often achieve a better sensitivity.…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Reinhard Prix , Miroslav Shaltev

Gravitational waves emitted during compact binary coalescences are a promising source for gravitational-wave detector networks. The accuracy with which the location of the source on the sky can be inferred from gravitational wave data is a…

General Relativity and Quantum Cosmology · Physics 2015-06-17 K. Grover , S. Fairhurst , B. F. Farr , I. Mandel , C. Rodriguez , T. Sidery , A. Vecchio

The detection of a stochastic gravitational-wave signal from the superposition of many inspiraling supermassive black holes with pulsar timing arrays (PTAs) is likely to occur within the next decade. With this detection will come the…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Laura Sampson , Neil J. Cornish , Sean T. McWilliams

Transient non-gaussian noise in gravitational wave detectors, commonly referred to as glitches, pose challenges for inference of the astrophysical properties of detected signals when the two are coincident in time. Current analyses aim…

General Relativity and Quantum Cosmology · Physics 2021-02-17 Katerina Chatziioannou , Neil Cornish , Marcella Wijngaarden , Tyson B. Littenberg

I define here a novel function on a modeled space of gravitational-wave signals, before studying its properties as a statistic for detection, as an objective function for identification, and as an effective likelihood function for…

General Relativity and Quantum Cosmology · Physics 2022-11-30 Alvin J. K. Chua