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In order to analyze data produced by the kilometer-scale gravitational wave detectors that will begin operation early next century, one needs to develop robust statistical tools capable of extracting weak signals from the detector noise.…

General Relativity and Quantum Cosmology · Physics 2010-01-06 Jolien D. E. Creighton

An elastic ideal 2D propagation medium, i.e., a membrane, can be simulated by models discretizing the wave equation on the time-space grid (finite difference methods), or locally discretizing the solution of the wave equation (waveguide…

Sound · Computer Science 2024-09-21 Federico Fontana , Davide Rocchesso

Guided diffusion sampling relies on approximating often intractable likelihood scores, which introduces significant noise into the sampling dynamics. We propose using adaptive moment estimation to stabilize these noisy likelihood scores…

Machine Learning · Computer Science 2026-04-24 Christian Belardi , Justin Lovelace , Kilian Q. Weinberger , Carla P. Gomes

The measurement of data over time and/or space is of utmost importance in a wide range of domains from engineering to physics. Devices that perform these measurements therefore need to be extremely precise to obtain correct system…

The detection of nanoHertz gravitational waves through pulsar timing arrays hinges on identifying a common stochastic process affecting all pulsars in a correlated way across the sky. In the presence of other deterministic and stochastic…

High Energy Astrophysical Phenomena · Physics 2024-02-14 Patrick M. Meyers , Katerina Chatziioannou , Michele Vallisneri , Alvin J. K. Chua

We propose a data processing technique to cancel monopole and dipole noise sources (such as clock and ephemeris noises respectively) in pulsar timing array searches for gravitational radiation. These noises are the dominant sources of…

General Relativity and Quantum Cosmology · Physics 2018-05-02 Massimo Tinto

We describe an improved version of the Hough transform search for continuous gravitational waves from isolated neutron stars assuming the input to be short segments of Fourier transformed data. The method presented here takes into account…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alicia M. Sintes , Badri Krishnan

The use of data assimilation technique to identify optimal topography is discussed in frames of time-dependent motion governed by non-linear barotropic ocean model. Assimilation of artificially generated data allows to measure the influence…

Atmospheric and Oceanic Physics · Physics 2009-12-08 Eugene Kazantsev

Time series in real-world applications often have missing observations, making typical analytical methods unsuitable. One method for dealing with missing data is the concept of amplitude modulation. While this principle works with any data,…

Methodology · Statistics 2024-04-19 Simon Nik

Signal extraction out of background noise is a common challenge in high precision physics experiments, where the measurement output is often a continuous data stream. To improve the signal to noise ratio of the detection, witness sensors…

General Relativity and Quantum Cosmology · Physics 2020-02-26 Gabriele Vajente , Yiwen Huang , Maximiliano Isi , Jenne C. Driggers , Jeffrey S. Kissel , Marek J. Szczepanczyk , Salvatore Vitale

The smooth spin-down of young pulsars is perturbed by two non-deterministic phenomenon, glitches and timing noise. Although the timing noise provides insights into nuclear and plasma physics at extreme densities, it acts as a barrier to…

High Energy Astrophysical Phenomena · Physics 2019-09-25 A. Parthasarathy , R. M. Shannon , S. Johnston , L. Lentati , M. Bailes , S. Dai , M. Kerr , R. N. Manchester , S. Oslowski , C. Sobey , W. van Straten , P. Weltevrede

The time-frequency integrals and the two-dimensional stationary phase method are applied to study the electromagnetic waves radiated by moving modulated sources in dispersive media. We show that such unified approach leads to explicit…

Quantum Physics · Physics 2012-12-11 Gennadiy Burlak , Vladimir Rabinovich

Here we characterized an information measure for cell polarity that applies to non-motile cells responding to a chemical gradient. The central idea is that polarization represents information about the direction of the gradient. We applied…

Cell Behavior · Quantitative Biology 2025-04-14 Tau-Mu Yi

A polarization switching pulse interleaver is shown to be effective in reducing timing noise due to polarization mode dispersion in time and frequency transfer based on mode-locked lasers and standard single-mode fibres. In closed-loop time…

In some modified theories of gravity, gravitational waves can contain up to six different polarizations, which can travel at speeds different from that of light. Searches for these different polarizations in gravitational wave data are…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Kristen Schumacher , Nicolas Yunes , Kent Yagi

This paper considers a bearings-only tracking problem using noisy measurements of unknown noise statistics from a passive sensor. It is assumed that the process and measurement noise follows the Gaussian distribution where the measurement…

Signal Processing · Electrical Eng. & Systems 2023-05-16 Shreya Das , Kundan Kumar , Shovan Bhaumik

We develop two algorithms, based on maximum likelihood (ML) inference, for estimating the parameters of polarized radio sources which emit at a single rotation measure (RM), e.g., pulsars. These algorithms incorporate the flux density…

Instrumentation and Methods for Astrophysics · Physics 2017-10-25 D. H. F. M. Schnitzeler , K. J. Lee

We propose a new method to detect gravitational waves, based on spatial coherence interferometry with stellar light, as opposed to the conventional temporal coherence interferometry with laser sources. The proposed method detects…

High Energy Astrophysical Phenomena · Physics 2021-11-09 I. H. Park , K. -Y. Choi , J. Hwang , S. Jung , D. H. Kim , M. H. Kim , C. -H. Lee , K. H. Lee , S. H. Oh , M. -G. Park , S. C. Park , A. Pozanenko , C. D. Rho , N. Vedenkin , E. Won

The method of location and spectral estimation of weak signals on a noise background is being considered. The method is based on the optimized on order and noise dispersion autoregressive model of a sought signal. A new approach of model…

Computational Engineering, Finance, and Science · Computer Science 2007-07-03 Yu. Bunyak , O. Bunyak

We suggest an adaptive sampling rule for obtaining information from noisy signals using wavelet methods. The technique involves increasing the sampling rate when relatively high-frequency terms are incorporated into the wavelet estimator,…

Statistics Theory · Mathematics 2007-06-13 Peter Hall , Spiridon Penev
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