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We propose non-stationary spectral kernels for Gaussian process regression. We propose to model the spectral density of a non-stationary kernel function as a mixture of input-dependent Gaussian process frequency density surfaces. We solve…

Machine Learning · Statistics 2019-09-25 Sami Remes , Markus Heinonen , Samuel Kaski

I give an overview of the present knowledge about nonperturbative functions parametrizing the fragmentation into one or two hadrons of (un)polarized light quarks in vacuum, including information on their transverse momentum dependence.

High Energy Physics - Phenomenology · Physics 2022-03-02 Marco Radici

The North American Nanohertz Observatory for Gravitational Waves (NANOGrav) has recently reported strong statistical evidence for a common-spectrum red-noise process for all pulsars, as seen in their 12.5-yr analysis for an isotropic…

General Relativity and Quantum Cosmology · Physics 2021-03-24 Joseph D. Romano , Jeffrey S. Hazboun , Xavier Siemens , Anne M. Archibald

We construct non-perturbative inputs for the elastic gluon-hadron scattering amplitudes in the forward kinematic region for both polarized and non-polarized hadrons. We use the optical theorem to relate invariant scattering amplitudes to…

High Energy Physics - Phenomenology · Physics 2015-12-25 B. I. Ermolaev , F. Olness , S. I. Troyan

Lensless imaging methods that account for partial coherence have become very common in the past decade. However, there are no metrics in use for comparing partially coherent light fields, despite the widespread use of such metrics to…

Optics · Physics 2022-05-04 Abraham Levitan , Riccardo Comin

Matter-wave interferometry with solids is highly susceptible to minute fluctuations of environmental fields, including gravitational effects from distant sources. Hence, experiments require a degree of shielding that is extraordinarily…

Quantum Physics · Physics 2022-08-23 Julen S. Pedernales , Martin B. Plenio

We present two methods for determining the significance of a stochastic gravitational-wave (GW) background affecting a pulsar-timing array, where detection is based on evidence for quadrupolar spatial correlations between pulsars. Rather…

Instrumentation and Methods for Astrophysics · Physics 2017-02-13 S. R. Taylor , L. Lentati , S. Babak , P. Brem , J. R. Gair , A. Sesana , A. Vecchio

We construct a non-perturbative approach based on quantum averaging combined with resonant transformations to detect the resonances of a given Hamiltonian and to treat them. This approach, that generalizes the rotating-wave approximation,…

Quantum Physics · Physics 2007-05-23 M. Amniat-Talab , S. Guerin , H. R. Jauslin

Proposed near-future upgrades of the current advanced interferometric gravitational wave detectors include the usage of frequency dependent squeezed light to reduce the current sensitivity-limiting quantum noise. We quantify and describe…

One of the greatest theoretical challenges in the build-up to the era of second-generation gravitational-wave detectors is the modeling of generic binary waveforms. We introduce an approximation that has the potential to significantly…

General Relativity and Quantum Cosmology · Physics 2013-03-12 Patricia Schmidt , Mark Hannam , Sascha Husa

Consistent weighted least square estimators are proposed for a wide class of nonparametric regression models with random regression function, where this real-valued random function of $k$ arguments is assumed to be continuous with…

Statistics Theory · Mathematics 2023-07-04 Yu. Yu. Linke , I. S. Borisov , P. S. Ruzankin

We introduce a new analysis method to deal with stationary non-Gaussian noises in gravitational wave detectors in terms of the independent component analysis. First, we consider the simplest case where the detector outputs are linear…

General Relativity and Quantum Cosmology · Physics 2016-11-03 Soichiro Morisaki , Jun'ichi Yokoyama , Kazunari Eda , Yousuke Itoh

We propose a new general method of extracting non-Gaussian features in a given field. It sets the mean of the field to zero and renormalizes its Fourier (or multipole) power to white noise, while keeping the phase information unchanged.…

Astrophysics · Physics 2007-05-23 Jiun-Huei Proty Wu

Application of the large scale gravitational wave interferometers for measurement of geophysical signals at very low frequencies is considered. Analysis is concentrated on the mechanism of penetration of quasistatic geophysical perturbation…

General Relativity and Quantum Cosmology · Physics 2015-06-17 A. V. Gusev , V. N. Rudenko , I. S Yudin

Functions of interest are often smooth and sparse in some sense, and both priors should be taken into account when interpolating sampled data. Classical linear interpolation methods are effective under strong regularity assumptions, but…

Functional Analysis · Mathematics 2015-03-27 Holger Rauhut , Rachel Ward

Image acquisition and segmentation are likely to introduce noise. Further image processing such as image registration and parameterization can introduce additional noise. It is thus imperative to reduce noise measurements and boost signal.…

Methodology · Statistics 2021-11-30 Moo K. Chung

With the astrophysics community working towards the first observations and characterizations of Earth-like exoplanets, interest in space-based nulling interferometry has been renewed. This technique promises unique scientific and technical…

Instrumentation and Methods for Astrophysics · Physics 2025-06-26 Felix A. Dannert , Philipp A. Huber , Thomas Birbacher , Romain Laugier , Markus J. Bonse , Emily O. Garvin , Adrian M. Glauser , Veronika Oehl , Sascha P. Quanz

Incorporating wide-field considerations in interferometric imaging is of increasing importance for next-generation radio telescopes. Compressed sensing techniques for interferometric imaging have been extended to wide fields recently,…

Instrumentation and Methods for Astrophysics · Physics 2011-08-29 J. D. McEwen , Y. Wiaux

We establish a general form of explicit, input-dependent, measure-valued warpings for learning nonstationary kernels. While stationary kernels are ubiquitous and simple to use, they struggle to adapt to functions that vary in smoothness…

Machine Learning · Computer Science 2020-10-12 Anthony Tompkins , Rafael Oliveira , Fabio Ramos

Disturbances in gravitational wave (GW) observational data are often caused by non-stationary noise in the detector itself, such as back-scattering of laser stray light into the signal field. Unlike GW signals, non-stationary noise can…

Instrumentation and Detectors · Physics 2025-11-07 Niels Böttner , Roman Schnabel , Mikhail Korobko