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The millihertz gravitational wave band is expected to be opened by space-borne detectors like TianQin. Various mechanisms can produce short outbursts of gravitational waves, whose actual waveform can be hard to model. In order to identify…

General Relativity and Quantum Cosmology · Physics 2024-05-15 Zheng Wu , Hui-Min Fan , Yi-Ming Hu , Ik Siong Heng

From neuroscience and genomics to systems biology and ecology, researchers rely on clustering similarity data to uncover modular structure. Yet widely used clustering methods, such as hierarchical clustering, k-means, and WGCNA, lack…

Machine Learning · Statistics 2025-10-20 Magnus Neuman , Jelena Smiljanić , Martin Rosvall

Searches for gravitational-wave bursts (transient signals, typically of unknown waveform) require identification of weak signals in background detector noise. The sensitivity of such searches is often critically limited by non-Gaussian…

General Relativity and Quantum Cosmology · Physics 2013-10-02 Thomas S. Adams , Duncan Meacher , James Clark , Patrick J. Sutton , Gareth Jones , Ariana Minot

Currently, it appears that the best method for non-Gaussianity detection in the Cosmic Microwave Background (CMB) consists in calculating the kurtosis of the wavelet coefficients. We know that wavelet-kurtosis outperforms other methods such…

Astrophysics · Physics 2016-02-17 J. Jin , J. -L. Starck , D. L. Donoho , N. Aghanim , O. Forni

Bayesian analysis plays a crucial role in estimating distribution of unknown parameters for given data and model. Due to the curse of dimensionality, it becomes difficult for high-dimensional problems, especially when multiple modes exist.…

Methodology · Statistics 2025-07-18 Zihan Liao , Binbin Li , Hua-Ping Wan

We conduct an analysis of the measurement abilities of distinctive LISA detector designs, examining the influence of LISA's low-frequency performance on the detection and characterization of massive black hole binaries. We are particularly…

General Relativity and Quantum Cosmology · Physics 2019-03-07 Michael L. Katz , Shane L. Larson

Motivation: Modelling methods that find structure in data are necessary with the current large volumes of genomic data, and there have been various efforts to find subsets of genes exhibiting consistent patterns over subsets of treatments.…

Machine Learning · Computer Science 2016-09-15 Kerstin Bunte , Eemeli Leppäaho , Inka Saarinen , Samuel Kaski

The Laser Interferometer Space Antenna (LISA) mission poses a difficult parameter estimation challenge: the sources will be so dense in both time and frequency that they all must be fit simultaneously in a `global fit'. Successful tests of…

General Relativity and Quantum Cosmology · Physics 2024-10-23 Robert Rosati , Tyson B. Littenberg

It was shown in a previous work that the data combinations canceling laser frequency noise constitute a module - the module of syzygies. The cancellation of laser frequency noise is crucial for obtaining the requisite sensitivity for LISA.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 K. Rajesh Nayak , S. V. Dhurandhar , A. Pai , J-Y Vinet

Following the discovery of the brightest high-energy neutrino sources in the sky, the further detection of fainter sources is more challenging. A natural solution is to combine fainter source candidates, and instead of individual…

High Energy Astrophysical Phenomena · Physics 2025-06-03 I. Bartos , M. Ackermann , M. Kowalski

I explore the possibility of resurrecting an old, non-Bayesian computational approach for inferring the source direction of a gravitational wave from the output of a two-detector network. The method gives the beam pattern response functions…

Instrumentation and Methods for Astrophysics · Physics 2018-05-04 Tom McClain

With the advanced LIGO and Virgo detectors taking observations the detection of gravitational waves is expected within the next few years. Extracting astrophysical information from gravitational wave detections is a well-posed problem and…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Tyson B. Littenberg , Jonah B. Kanner , Neil J. Cornish , Margaret Millhouse

The next generation of gravitational wave detectors will improve the detection prospects for gravitational waves from core-collapse supernovae. The complex astrophysics involved in core-collapse supernovae pose a significant challenge to…

Instrumentation and Methods for Astrophysics · Physics 2019-04-03 Vincent Roma , Jade Powell , Ik Siong Heng , Ray Frey

These lecture notes provide a brief introduction to methods used to search for a stochastic background of gravitational radiation -- a superposition of gravitational-wave signals that are either too weak or too numerous to individually…

General Relativity and Quantum Cosmology · Physics 2023-07-07 Joseph D. Romano

We discuss the detection of gravitational-wave backgrounds in the context of Bayesian inference and suggest a practical definition of what it means for a signal to be considered stochastic---namely, that the Bayesian evidence favors a…

General Relativity and Quantum Cosmology · Physics 2015-08-12 Neil J. Cornish , Joseph D. Romano

The simultaneous detection of gravitational waves and light from the binary neutron star merger GW170817 led to independent measurements of distance and redshift, providing a direct estimate of the Hubble constant $H_0$ that does not rely…

High Energy Astrophysical Phenomena · Physics 2022-05-20 Mattia Bulla , Michael W. Coughlin , Suhail Dhawan , Tim Dietrich

We study the properties of the constrained minimal supersymmetric standard model (mSUGRA) by performing fits to updated indirect data, including the relic density of dark matter inferred from WMAP5. In order to find the extent to which mu <…

High Energy Physics - Phenomenology · Physics 2009-11-13 F. Feroz , B. C. Allanach , M. P. Hobson , S. S. AbdusSalam , R. Trotta , A. M. Weber

The Laser Interferometer Space Antenna (LISA) is a planned space-based observatory to measure gravitational waves in the millihertz frequency band. This frequency band is expected to be dominated by signals from millions of Galactic…

General Relativity and Quantum Cosmology · Physics 2024-06-04 Stefan H. Strub , Luigi Ferraioli , Cédric Schmelzbach , Simon C. Stähler , Domenico Giardini

We report on the measurement of parasitic surface force noise on a hollow replica of a LISA (Laser Interferometer Space Antenna for the observation of gravitational waves) proof mass surrounded by a faithful representation of its in flight…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ludovico Carbone , Giacomo Ciani , Rita Dolesi , Mauro Hueller , David Tombolato , Stefano Vitale , William Joseph Weber , Antonella Cavalleri

We describe a general approach to detection of transient gravitational-wave signals in the presence of non-Gaussian background noise. We prove that under quite general conditions, the ratio of the likelihood of observed data to contain a…

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