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Fitting a simplifying model with several parameters to real data of complex objects is a highly nontrivial task, but enables the possibility to get insights into the objects physics. Here, we present a method to infer the parameters of the…

Data Analysis, Statistics and Probability · Physics 2018-12-21 Johannes Oberpriller , T. A. Enßlin

In this work, we develop and compare two innovative strategies for parameter estimation and radar detection of multiple point-like targets. The first strategy, which appears here for the first time, jointly exploits the maximum likelihood…

Signal Processing · Electrical Eng. & Systems 2020-12-02 Pia Addabbo , Jun Liu , Danilo Orlando , Giuseppe Ricci

The Laser Interferometer Space Antenna (LISA) is expected to simultaneously detect many thousands of low frequency gravitational wave signals. This presents a data analysis challenge that is very different to the one encountered in ground…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Neil J. Cornish , Jeff Crowder

The phase locking value (PLV) is a widely used measure to detect phase connectivity. Main drawbacks of the standard PLV are it can be sensitive to noisy observations and does not provide uncertainty measures under finite samples. To…

Methodology · Statistics 2025-09-09 Shonosuke Sugasawa , Takeru Matsuda , Tomoyuki Nagakawa

Finding a stochastic gravitational-wave background (SGWB) of astrophysical or primordial origin is one of the quests of current and future gravitational-wave observatories. While detector networks such as LIGO-Virgo-Kagra or pulsar timing…

General Relativity and Quantum Cosmology · Physics 2023-07-04 Quentin Baghi , Nikolaos Karnesis , Jean-Baptiste Bayle , Marc Besançon , Henri Inchauspé

The LISA mission is a space interferometer aiming at the detection of gravitational waves in the [$10^{-4}$,$10^{-1}$] Hz frequency band. In order to reach the gravitational wave detection level, a Time Delay Interferometry (TDI) method…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Pireaux

Cosmological probes pose an inverse problem where the measurement result is obtained through observations, and the objective is to infer values of model parameters which characterize the underlying physical system -- our Universe. Modern…

Instrumentation and Methods for Astrophysics · Physics 2019-05-21 Timur Takhtaganov , Zarija Lukic , Juliane Mueller , Dmitriy Morozov

Multipath time-delay estimation is commonly encountered in radar and sonar signal processing. In some real-life environments, impulse noise is ubiquitous and significantly degrades estimation performance. Here, we propose a Bayesian…

Signal Processing · Electrical Eng. & Systems 2023-08-16 Xingyu Ji , Lei Cheng , Hangfang Zhao

The Mock LISA Data Challenges are a program to demonstrate LISA data-analysis capabilities and to encourage their development. Each round of challenges consists of one or more datasets containing simulated instrument noise and gravitational…

Temperature fluctuations are expected to be one of the limiting factors for gravitational wave detectors in the very low frequency range. Here we report the characterisation of this noise source in the LISA Pathfinder optical bench and…

General Relativity and Quantum Cosmology · Physics 2013-06-20 M. Nofrarias , F. Gibert , N. Karnesis , A. F. Garcia , M. Hewitson , G. Heinzel , K. Danzmann

In the near future, space-borne gravitational wave (GW) detector LISA can open the window of low-frequency band of GW and provide new tools to test gravity theories. In this work, we consider multi-parameter tests of GW generation and…

General Relativity and Quantum Cosmology · Physics 2024-03-05 Rui Niu , Zhi-Chu Ma , Ji-Ming Chen , Chang Feng , Wen Zhao

Mapping the boundary of an extended source is a key step in the study of its morphology. The background contamination and statistical fluctuations of typical astronomical images make this a challenging statistical task, particularly for…

Instrumentation and Methods for Astrophysics · Physics 2026-01-14 Kathryn McKeough , Vinay L. Kashyap , Aneta Siemiginowska , David A. Van Dyk , Shihao Yang , Xiao-Li Meng , Brendan Martin , Andreas Zezas

LISA is a joint space mission of the ESA and NASA for detecting low frequency gravitational radiation in the band $10^{-5} - 1$ Hz. In order to attain the requisite sensitivity for LISA, the laser frequency noise must be suppressed below…

General Relativity and Quantum Cosmology · Physics 2015-05-13 S. V. Dhurandhar

A number of open problems hinder our present ability to extract scientific information from data that will be gathered by the near-future gravitational-wave mission LISA. Many of these relate to the modeling, detection and characterization…

Instrumentation and Methods for Astrophysics · Physics 2020-02-17 Alvin J. K. Chua , Natalia Korsakova , Christopher J. Moore , Jonathan R. Gair , Stanislav Babak

Prompt isolated leptons are essential in many analyses in high-energy particle physics but are subject to fake-lepton background, i.e. objects that mimic the lepton signature. The fake-lepton background is difficult to estimate from…

High Energy Physics - Phenomenology · Physics 2022-07-25 Johannes Erdmann , Cornelius Grunwald , Kevin Kröninger , Salvatore La Cagnina , Lars Röhrig , Erich Varnes

The Laser Interferometer Space Antenna (LISA) will be capable of detecting gravitational waves (GWs) in the milli-Hertz band. Among various sources, LISA will detect the coalescence of supermassive black hole binaries (SMBHBs). Accurate and…

General Relativity and Quantum Cosmology · Physics 2025-02-25 Abhishek Sharma , Anand S. Sengupta , Suvodip Mukherjee

Linear Least Squares is a very well known technique for parameter estimation, which is used even when sub-optimal, because of its very low computational requirements and the fact that exact knowledge of the noise statistics is not required.…

Statistics Theory · Mathematics 2018-10-16 Michael Krikheli , Amir Leshem

Bayesian model selection provides a powerful and mathematically transparent framework to tackle hypothesis testing, such as detection tests of gravitational waves emitted during the coalescence of binary systems using ground-based laser…

General Relativity and Quantum Cosmology · Physics 2009-11-13 John Veitch , Alberto Vecchio

We report on the performance of an end-to-end Bayesian analysis pipeline for detecting and characterizing galactic binary signals in simulated LISA data. Our principal analysis tool is the Blocked-Annealed Metropolis Hasting (BAM)…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jeff Crowder , Neil J. Cornish