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How do statistical dependencies in measurement noise influence high-dimensional inference? To answer this, we study the paradigmatic spiked matrix model of principal components analysis (PCA), where a rank-one matrix is corrupted by…

Information Theory · Computer Science 2023-06-05 Jean Barbier , Francesco Camilli , Marco Mondelli , Manuel Saenz

We present a method of searching for, and parameterizing, signals from known radio pulsars in data from interferometric gravitational wave detectors. This method has been applied to data from the LIGO and GEO 600 detectors to set upper…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Réjean J. Dupuis , Graham Woan

Bayesian estimation is a powerful theoretical paradigm for the operation of quantum sensors. However, the Bayesian method for statistical inference generally suffers from demanding calibration requirements that have so far restricted its…

Quantum Physics · Physics 2021-09-22 Samuel P. Nolan , Augusto Smerzi , Luca Pezzè

The Laser Interferometer Space Antenna (LISA), a spaceborne gravitational wave (GW) detector set to launch in 2035, will observe several stochastic GW backgrounds in the mHz frequency band. At least one of these signals -- arising from the…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Malachy Bloom , Alexander Criswell , Vuk Mandic

We describe a simple framework to assess the LISA scientific performance (more specifically, its sensitivity and expected parameter-estimation precision for prescribed gravitational-wave signals) under the assumption of failure of one or…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Michele Vallisneri , Jeff Crowder , Massimo Tinto

For the LISA mission, Tilt-To-Length (TTL) coupling is expected to be one of the dominant instrumental noise contributions after laser frequency noise is suppressed based, on assumptions on the size of the coupling and angular jitter…

Instrumentation and Methods for Astrophysics · Physics 2026-02-16 Lavinia Heisenberg , Henri Inchauspé , Sarah Paczkowski , Ricardo Waibel

Various noise models have been developed in quantum computing study to describe the propagation and effect of the noise which is caused by imperfect implementation of hardware. Identifying parameters such as gate and readout error rates are…

Quantum Physics · Physics 2022-11-08 Muqing Zheng , Ang Li , Tamás Terlaky , Xiu Yang

We consider the general problem of estimating the inflight LISA noise power spectra and cross-spectra, which are needed for detecting and estimating the gravitational wave signals present in the LISA data. For the LISA baseline design and…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Julien Sylvestre , Massimo Tinto

We consider the task of estimating a low-rank matrix from non-linear and noisy observations. We prove a strong universality result showing that Bayes-optimal performances are characterized by an equivalent Gaussian model with an effective…

Machine Learning · Statistics 2024-03-08 Pierre Mergny , Justin Ko , Florent Krzakala , Lenka Zdeborová

The future space based gravitational wave detector LISA (Laser Interferometer Space Antenna) will observe millions of Galactic binaries constantly present in the data stream. A small fraction of this population (of the order of several…

General Relativity and Quantum Cosmology · Physics 2024-02-22 Natalia Korsakova , Stanislav Babak , Michael L. Katz , Nikolaos Karnesis , Sviatoslav Khukhlaev , Jonathan R. Gair

Robust estimation is an important and timely research subject. In this paper, we investigate performance lower bounds on the mean-square-error (MSE) of any estimator for the Bayesian linear model, corrupted by a noise distributed according…

Methodology · Statistics 2017-07-12 Virginie Ollier , Rémy Boyer , Mohammed Nabil El Korso , Pascal Larzabal

The uncertainty of the sensing target brings great challenge to the beamforming design of the integrated sensing and communication (ISAC) system. To address this issue, we model the scattering coefficient and azimuth angle of the target as…

Signal Processing · Electrical Eng. & Systems 2025-02-12 Zongyao Zhao , Zhenyu Liu , Wei Dai , Xinke Tang , Xiao-Ping Zhang , Yuhan Dong

Recent advances in numerical relativity provide a detailed description of the waveforms of coalescing massive black hole binaries (MBHBs), expected to be the strongest detectable LISA sources. We present a preliminary study of LISA's…

Astrophysics · Physics 2014-11-18 J. I. Thorpe , S. T. McWilliams , B. J. Kelly , R. P. Fahey , K. Arnaud , J. G. Baker

A first order phase transition at the electroweak scale would lead to the production of gravitational waves that may be observable at upcoming space-based gravitational wave (GW) detectors such as LISA (Laser Interferometer Space Antenna).…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-20 Chloe Gowling , Mark Hindmarsh

LISA Pathfinder (LPF) has been a space-based mission designed to test new technologies that will be required for a gravitational wave observatory in space. Magnetically driven forces play a key role in the instrument sensitivity in the…

The Laser Interferometer Space Antenna (LISA) mission aims to detect gravitational waves by interferometrically measuring the change of separation between free-falling test masses (TMs). LISA's interferometers must deliver pm/rtHz…

We propose a Bayesian nonparametric method for low-pass filtering that can naturally handle unevenly-sampled and noise-corrupted observations. The proposed model is constructed as a latent-factor model for time series, where the latent…

Machine Learning · Statistics 2019-02-12 Cristobal Valenzuela , Felipe Tobar

Excess noise from scattered light poses a persistent challenge in the analysis of data from gravitational wave detectors such as LIGO. We integrate a physically motivated model for the behavior of these "glitches" into a standard Bayesian…

Instrumentation and Methods for Astrophysics · Physics 2023-03-15 Rhiannon Udall , Derek Davis
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