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In this article we develop algorithms for data assimilation based upon a computational time dependent stable/unstable splitting. Our particular method is based upon shadowing refinement and synchronization techniques and is motivated by…

Dynamical Systems · Mathematics 2017-07-31 Bart de Leeuw , Svetlana Dubinkina , Jason Frank , Andrew Steyer , Xuemin Tu , Erik Van Vleck

We revisit an analytical model to describe the halo-matter cross-power spectrum and the halo auto-power spectrum in the weakly nonlinear regime, by combining the perturbation theory (PT) for matter clustering, the local bias model, and the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Atsushi J. Nishizawa , Masahiro Takada , Takahiro Nishimichi

Sensing and aggregation of noisy observations should not be considered as separate issues. The quality of collective estimation involves a difficult tradeoff between sensing quality which increases by increasing the number of sensors, and…

Information Theory · Computer Science 2011-02-16 Tatsuto Murayama , Peter Davis

In many data analyses, each measurement may come with a simple yes/no correction; for example, belonging to one of two populations or being contaminated or not. Ignoring such binary effects may bias the results, while accounting for them…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-13 Marcus Högås , Edvard Mörtsell

This note develops the first-ever noise-centric anomaly prediction method for a fused discrete-time signal. A Wavelet Packet Transform (WPT) provides a time--frequency expansion in which structure and residual can be separated via…

Signal Processing · Electrical Eng. & Systems 2025-12-16 Indrakshi Dey , Ilias Cherkaoui , Mohamed Khalafalla Hassan

Supervised learning is a mainstream approach to audio signal enhancement (SE) and requires parallel training data consisting of both noisy signals and the corresponding clean signals. Such data can only be synthesised and are mismatched…

Sound · Computer Science 2023-04-27 Nobutaka Ito , Masashi Sugiyama

Change detection aims to identify remote sense object changes by analyzing data between bitemporal image pairs. Due to the large temporal and spatial span of data collection in change detection image pairs, there are often a significant…

Computer Vision and Pattern Recognition · Computer Science 2024-06-24 Qiangang Du , Jinlong Peng , Changan Wang , Xu Chen , Qingdong He , Wenbing Zhu , Mingmin Chi , Yabiao Wang , Chengjie Wang

High-quality optical resonant cavities require low optical loss, typically on the scale of parts per million. However, unintended micron-scale contaminants on the resonator mirrors that absorb the light circulating in the cavity can deform…

Instrumentation and Detectors · Physics 2021-12-09 W. Jia , H. Yamamoto , K. Kuns , A. Effler , M. Evans , P. Fritschel , R. Abbott , C. Adams , R. X. Adhikari , A. Ananyeva , S. Appert , K. Arai , J. S. Areeda , Y. Asali , S. M. Aston , C. Austin , A. M. Baer , M. Ball , S. W. Ballmer , S. Banagiri , D. Barker , L. Barsotti , J. Bartlett , B. K. Berger , J. Betzwieser , D. Bhattacharjee , G. Billingsley , S. Biscans , C. D. Blair , R. M. Blair , N. Bode , P. Booker , R. Bork , A. Bramley , A. F. Brooks , D. D. Brown , A. Buikema , C. Cahillane , K. C. Cannon , X. Chen , A. A. Ciobanu , F. Clara , C. M. Compton , S. J. Cooper , K. R. Corley , S. T. Countryman , P. B. Covas , D. C. Coyne , L. E. H. Datrier , D. Davis , C. Di Fronzo , K. L. Dooley , J. C. Driggers , P. Dupej , S. E. Dwyer , T. Etzel , T. M. Evans , J. Feicht , A. Fernandez-Galiana , V. V. Frolov , P. Fulda , M. Fyffe , J. A. Giaime , K. D. Giardina , P. Godwin , E. Goetz , S. Gras , C. Gray , R. Gray , A. C. Green , E. K. Gustafson , R. Gustafson , E. Hall , J. Hanks , J. Hanson , T. Hardwick , R. K. Hasskew , M. C. Heintze , A. F. Helmling-Cornell , N. A. Holland , J. D. Jones , S. Kandhasamy , S. Karki , M. Kasprzack , K. Kawabe , N. Kijbunchoo , P. J. King , J. S. Kissel , Rahul Kumar , M. Landry , B. B. Lane , B. Lantz , M. Laxen , Y. K. Lecoeuche , J. Leviton , J. Liu , M. Lormand , A. P. Lundgren , R. Macas , M. MacInnis , D. M. Macleod , G. L. Mansell , S. Márka , Z. Márka , D. V. Martynov , K. Mason , T. J. Massinger , F. Matichard , N. Mavalvala , R. McCarthy , D. E. McClelland , S. McCormick , L. McCuller , J. McIver , T. McRae , G. Mendell , K. Merfeld , E. L. Merilh , F. Meylahn , T. Mistry , R. Mittleman , G. Moreno , C. M. Mow-Lowry , S. Mozzon , A. Mullavey , T. J. N. Nelson , P. Nguyen , L. K. Nuttall , J. Oberling , Richard J. Oram , C. Osthelder , D. J. Ottaway , H. Overmier , J. R. Palamos , W. Parker , E. Payne , A. Pele , R. Penhorwood , C. J. Perez , M. Pirello , H. Radkins , K. E. Ramirez , J. W. Richardson , K. Riles , N. A. Robertson , J. G. Rollins , C. L. Romel , J. H. Romie , M. P. Ross , K. Ryan , T. Sadecki , E. J. Sanchez , L. E. Sanchez , T. R. Saravanan , R. L. Savage , D. Schaetzl , R. Schnabel , R. M. S. Schofield , E. Schwartz , D. Sellers , T. Shaffer , D. Sigg , B. J. J. Slagmolen , J. R. Smith , S. Soni , B. Sorazu , A. P. Spencer , K. A. Strain , L. Sun , M. J. Szczepańczyk , M. Thomas , P. Thomas , K. A. Thorne , K. Toland , C. I. Torrie , G. Traylor , M. Tse , A. L. Urban , G. Vajente , G. Valdes , D. C. Vander-Hyde , P. J. Veitch , K. Venkateswara , G. Venugopalan , A. D. Viets , T. Vo , C. Vorvick , M. Wade , R. L. Ward , J. Warner , B. Weaver , R. Weiss , C. Whittle , B. Willke , C. C. Wipf , L. Xiao , Hang Yu , Haocun Yu , L. Zhang , M. E. Zucker , J. Zweizig

Gravitational waves from binary neutron star post-merger remnants have the potential to uncover the physics of the hot nuclear equation of state. These gravitational-wave signals are high frequency ($\sim$ kHz) and short lived…

General Relativity and Quantum Cosmology · Physics 2023-05-31 Fiona H. Panther , Paul D. Lasky

We study different approaches to implementing sparse-in-time observations into the the Azouani-Olson-Titi data assimilation algorithm. We propose a new method which introduces a "data assimilation window" separate from the observational…

Analysis of PDEs · Mathematics 2023-03-08 Adam Larios , Yuan Pei , Collin Victor

In numerical weather prediction (NWP), a large number of observations are used to create initial conditions for weather forecasting through a process known as data assimilation. An assessment of the value of these observations for NWP can…

The major noise source limiting high-contrast imaging is due to the presence of quasi-static speckles. Speckle noise originates from wavefront errors caused by various independent sources, and it evolves on different timescales pending to…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 P. Martinez , C. Loose , E. Aller Carpentier , M. Kasper

An intrinsic property of almost any physical measuring device is that it makes observations which are slightly blurred in time. We consider a nudging-based approach for data assimilation that constructs an approximate solution based on a…

Analysis of PDEs · Mathematics 2018-09-05 Michael S. Jolly , Vincent R. Martinez , Eric J. Olson , Edriss S. Titi

We study parameter estimation with post-Newtonian (PN) gravitational waveforms for the quasi-circular, adiabatic inspiral of spinning binary compact objects. The performance of amplitude-corrected waveforms is compared with that of the more…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Chris Van Den Broeck , Anand S. Sengupta

Multiple tracers of the same surveyed volume can enhance the signal-to-noise on a measurement of local primordial non-Gaussianity and the relativistic projections. Increasing the number of tracers comparably increases the number of shot…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-11 Dimitry Ginzburg , Vincent Desjacques

The statistics of peaks in weak gravitational lensing maps is a promising technique to constrain cosmological parameters in present and future surveys. Here we investigate its power when using general extreme value statistics which is very…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-12 Robert Reischke , Matteo Maturi , Matthias Bartelmann

In-situ ocean wave observations are critical to improve model skill and validate remote sensing wave measurements. Historically, such observations are extremely sparse due to the large costs and complexity of traditional wave buoys and…

Atmospheric and Oceanic Physics · Physics 2020-03-11 Pieter B. Smit , Isabel A. Houghton , Kalina Jordanova , Thomas Portwood , Evan Shapiro , David Clark , Michael Sosa , Tim T. Janssen

There has been a striking realization that physics resolving the black hole information paradox could imply postmerger gravitational wave echoes. We here report on evidence for echoes from the LIGO compact binary merger events, GW151226,…

General Relativity and Quantum Cosmology · Physics 2018-08-23 Randy S. Conklin , Bob Holdom , Jing Ren

Parameter estimation of binary-black-hole merger events in gravitational-wave data relies on matched-filtering techniques, which, in turn, depend on accurate model waveforms. Here we characterize the systematic biases introduced in…

General Relativity and Quantum Cosmology · Physics 2013-05-08 Tyson B. Littenberg , John G. Baker , Alessandra Buonanno , Bernard J. Kelly

The analysis of pulsar timing data, especially in pulsar timing array (PTA) projects, has encountered practical difficulties: evaluating the likelihood and/or correlation-based statistics can become prohibitively computationally expensive…

Instrumentation and Methods for Astrophysics · Physics 2012-11-16 Rutger van Haasteren