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This work introduces an on-the-fly (i.e., online) linear unmixing method which is able to sequentially analyze spectral data acquired on a spectrum-by-spectrum basis. After deriving a sequential counterpart of the conventional linear mixing…

For the purpose of maximum likelihood estimation of static parameters, we apply a kernel smoother to the particles in the standard SIR filter for non-linear state space models with additive Gaussian observation noise. This reduces the Monte…

Computation · Statistics 2015-05-07 Tore Selland Kleppe , Hans Julius Skaug

We study the problem of designing false measurement data that is injected to corrupt and mislead the output of a Kalman filter. Unlike existing works that focus on detection and filtering algorithms for the observer, we study the problem…

Systems and Control · Computer Science 2020-09-07 Zhongshun Zhang , Lifeng Zhou , Pratap Tokekar

Inspiraling binaries of compact objects are primary targets for current and future gravitational-wave observatories. Waveforms computed in General Relativity are used to search for these sources, and will probably be used to extract source…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Michele Vallisneri , Nicolas Yunes

This paper addresses the problem of robust fault detection filtering for linear time-varying (LTV) systems with non-Gaussian noise and additive faults. The conventional generalized likelihood ratio (GLR) method utilizes the Kalman filter,…

Optimization and Control · Mathematics 2025-04-25 Zhemeng Zhang , Yifei Nie , Le Yin

Many scenarios have been proposed for the origin of the supermassive black holes (SMBHs) that are found in the centres of most galaxies. Many of these formation scenarios predict a high-redshift population of intermediate-mass black holes…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Joseph E. Plowman , Daniel C. Jacobs , Ronald W. Hellings , Shane L. Larson , Sachiko Tsuruta

By inferring the gravitational wave background (GWB) from a population of supermassive black hole binaries (SMBHBs), pulsar timing arrays (PTAs) enable the study of massive black holes. In many ways, PTAs manifest the promise of a…

High Energy Astrophysical Phenomena · Physics 2025-12-16 Nima Laal , Stephen R. Taylor , Cayenne Matt , Kayhan Gultekin

Gravitational wave (GW) data from observed binary black hole coalescences (BBHC) have been demonstrated in recent analyses to validate the Hawking Area Theorem (HAT) for black hole horizons. The result of such analyses is imposed here as a…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Parthasarathi Majumdar

Timing analyses of gamma-ray pulsars in the Fermi Large Area Telescope data set can provide sensitive probes of many astrophysical processes, including timing noise in young pulsars, orbital period variations in redback binaries, and the…

High Energy Astrophysical Phenomena · Physics 2026-05-20 Colin J. Clark , Serena Valtolina , Lars Nieder , Rutger van Haasteren

Ill-posed inverse problems are ubiquitous in applications. Under- standing of algorithms for their solution has been greatly enhanced by a deep understanding of the linear inverse problem. In the applied communities ensemble-based filtering…

Statistics Theory · Mathematics 2015-12-08 Marco A. Iglesias , Kui Lin , Shuai Lu , Andrew M. Stuart

The unscented Kalman filter is a nonlinear estimation algorithm commonly used in navigation applications. The prediction of the mean and covariance matrix is crucial to the stable behavior of the filter. This prediction is done by…

Robotics · Computer Science 2025-12-16 Amit Levy , Itzik Klein

We consider the problem of robust estimation involving filtering and smoothing for nonlinear state space models which are disturbed by heavy-tailed impulsive noises. To deal with heavy-tailed noises and improve the robustness of the…

Applications · Statistics 2020-12-01 Hongwei Wang , Hongbin Li , Junyi Zuo , Wei Zhang , Heping Wang

The gravitational waves emitted by massive black hole binaries in the LISA band can be lensed. Wave-optics effects in the lensed signal are crucial when the Schwarzschild radius of the lens is smaller than the wavelength of the radiation.…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-31 Mesut Çalışkan , Lingyuan Ji , Roberto Cotesta , Emanuele Berti , Marc Kamionkowski , Sylvain Marsat

We consider the problem of localizing a manned, semi-autonomous, or autonomous vehicle in the environment using information coming from the vehicle's sensors, a problem known as navigation or simultaneous localization and mapping (SLAM)…

Systems and Control · Electrical Eng. & Systems 2020-09-24 Paul Chauchat , Axel Barrau , Silvère Bonnabel

We study the detection accuracy of double white dwarfs (DWDs), stellar-mass black hole binaries (SBHBs), light and heavy intermediate mass ratio inspirals (IMRIs), extreme mass ratio inspirals (EMRIs), massive black hole binaries (MBHBs),…

High Energy Astrophysical Phenomena · Physics 2024-12-02 Alejandro Torres-Orjuela

Efficient searches for gravitational waves from compact binary coalescence are crucial for gravitational wave observations. We present a proof-of-concept for a method that utilizes a neural network taking an SNR map, a stack of SNR time…

General Relativity and Quantum Cosmology · Physics 2025-12-16 Takahiro S. Yamamoto , Kipp Cannon , Hayato Motohashi , Hiroaki W. H. Tahara

Taiji, a Chinese space-based gravitational wave (GW) detection project, aims to explore the millihertz GW universe with unprecedented sensitivity. By observing astrophysical and cosmological sources, including Galactic binaries, massive…

Advances in compact sensing devices mounted on satellites have facilitated the collection of large spatio-temporal datasets with coordinates. Since such datasets are often incomplete and noisy, it is useful to create the prediction surface…

Methodology · Statistics 2025-04-14 Toshihiro Hirano , Tsunehiro Ishihara

The observed distributions of the source properties from gravitational-wave detections are biased due to the selection effects and detection criteria in the detections, analogous to the Malmquist bias. In this work, this observation bias is…

General Relativity and Quantum Cosmology · Physics 2021-12-15 Doğa Veske , Imre Bartos , Zsuzsa Márka , Szabolcs Márka

Finding and characterizing gravitational waves from individual supermassive black hole binaries is a central goal of pulsar timing array experiments, which will require analysis methods that can be efficient on our rapidly growing datasets.…

General Relativity and Quantum Cosmology · Physics 2024-10-28 Bence Bécsy
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