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The problem of denoising a one-dimensional signal possessing varying degrees of smoothness is ubiquitous in time-domain astronomy and astronomical spectroscopy. For example, in the time domain, an astronomical object may exhibit a smoothly…

Instrumentation and Methods for Astrophysics · Physics 2022-02-01 Collin A. Politsch , Jessi Cisewski-Kehe , Rupert A. C. Croft , Larry Wasserman

Periodicity is often studied in timeseries modelling with autoregressive methods but is less popular in the kernel literature, particularly for higher dimensional problems such as in textures, crystallography, and quantum mechanics. Large…

Machine Learning · Statistics 2018-05-15 Anthony Tompkins , Fabio Ramos

In the last years several estimation strategies have been formulated to determine the value of an unknown parameter in the most precise way, taking into account the presence of noise. These strategies typically rely on the use of quantum…

Quantum Physics · Physics 2021-08-31 Andrea Smirne , Andreas Lemmer , Martin B. Plenio , Susana F. Huelga

Precision pulsar timing requires optimization against measurement errors and astrophysical variance from the neutron stars themselves and the interstellar medium. We investigate optimization of arrival time precision as a function of radio…

High Energy Astrophysical Phenomena · Physics 2018-06-28 M. T. Lam , M. A. McLaughlin , J. M. Cordes , S. Chatterjee , T. J. W. Lazio

We introduce and test several novel approaches for periodicity detection in unevenly-spaced sparse datasets. Specifically, we examine five different kinds of periodicity metrics, which are based on non-parametric measures of serial…

Instrumentation and Methods for Astrophysics · Physics 2016-01-07 Shay Zucker

In this paper we introduce an efficient method to unwrap multi-frequency phase estimates for time-of-flight ranging. The algorithm generates multiple depth hypotheses and uses a spatial kernel density estimate (KDE) to rank them. The…

Computer Vision and Pattern Recognition · Computer Science 2016-08-19 Felix Järemo Lawin , Per-Erik Forssén , Hannes Ovrén

Multichannel frequency estimation with incomplete data and miscellaneous noises arises in array signal processing, modal analysis, wireless communications, and so on. In this paper, we consider maximum-likelihood(-like) optimization methods…

Signal Processing · Electrical Eng. & Systems 2023-07-18 Xunmeng Wu , Zai Yang , Zongben Xu

Kernel methods, particularly kernel ridge regression (KRR), are time-proven, powerful nonparametric regression techniques known for their rich capacity, analytical simplicity, and computational tractability. The analysis of their predictive…

Statistics Theory · Mathematics 2025-09-23 Xin Bing , Xin He , Chao Wang

We propose a nonparametric algorithm to detect structural breaks in the conditional mean and/or variance of a time series. Our method does not assume any specific parametric form for the dependence structure of the regressor, the time…

Methodology · Statistics 2024-10-22 Archi Roy , Moumanti Podder , Soudeep Deb

This article presents a novel type of very long baseline astronomical interferometer that uses the fluctuations, as a function of time, of the intensity measured by a quadratic detector, which is a common type of astronomical detector. The…

Instrumentation and Methods for Astrophysics · Physics 2013-09-24 Ermanno F. Borra

We discuss different methods for phenomenological approximations of signals with (generally) irregularly spaced arguments. Such signals may be classified as periodic, multi-periodic, quasi-periodic (cyclic), burst-type and flicker-type (see…

Astrophysics of Galaxies · Physics 2013-01-01 Ivan L. Andronov

Spiking Neural Networks (SNNs) promise efficient and dynamic spatio-temporal data processing. This paper reformulates a significant challenge in radio astronomy, Radio Frequency Interference (RFI) detection, as a time-series segmentation…

Neural and Evolutionary Computing · Computer Science 2026-01-23 Nicholas J. Pritchard , Andreas Wicenec , Mohammed Bennamoun , Richard Dodson

Detecting fast radio bursts (FRBs) with frequency-dependent intensity remains a challenge, as existing search algorithms do not account for the spectral shape, potentially leading to non-detections. We propose a novel detection statistic,…

High Energy Astrophysical Phenomena · Physics 2023-12-11 Pravir Kumar , Barak Zackay , Casey J. Law

A common problem in physics is to fit regression data by a parametric class of functions, and to decide whether a certain functional form allows for a good fit of the data. Common goodness of fit methods are based on the calculation of the…

Astrophysics · Physics 2009-11-07 N. Bissantz , A. Munk

Time-series analysis is critical for a diversity of applications in science and engineering. By leveraging the strengths of modern gradient descent algorithms, the Fourier transform, multi-resolution analysis, and Bayesian spectral…

Signal Processing · Electrical Eng. & Systems 2021-06-23 Daniel E. Shea , Rajiv Giridharagopal , David S. Ginger , Steven L. Brunton , J. Nathan Kutz

In many applications one is interested to detect certain (known) patterns in the mean of a process with smallest delay. Using an asymptotic framework which allows to capture that feature, we study a class of appropriate sequential…

Statistics Theory · Mathematics 2018-05-01 Ansgar Steland

Nulling interferometry is a promising technique for direct detection of exoplanets. However, the performance of current devices is limited by different perturbations sources and especially by its sensitivity to any phase aberrations. The…

Instrumentation and Methods for Astrophysics · Physics 2025-02-27 Vincent Foriel , Frantz Martinache , David Mary

Due to their high temporal resolution and large dynamic range, event cameras are uniquely suited for the analysis of time-periodic signals in an image. In this work we present an efficient and fully asynchronous event camera algorithm for…

Computer Vision and Pattern Recognition · Computer Science 2025-10-24 Bernd Pfrommer

This paper introduces a data-adaptive non-parametric approach for the estimation of time-varying spectral densities from nonstationary time series. Time-varying spectral densities are commonly estimated by local kernel smoothing. The…

Computation · Statistics 2020-07-21 Anne van Delft , Michael Eichler

We demonstrate that extremely rapid and weak periodic and non-periodic signals can easily be detected by using the autocorrelation of intensity as a function of time. We use standard radio-astronomical observations that have artificial…

Instrumentation and Methods for Astrophysics · Physics 2018-05-16 Ermanno F. Borra , Jonathan D. Romney , Eric Trottier