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This paper proposes a statistical verification framework using Gaussian processes (GPs) for simulation-based verification of stochastic nonlinear systems with parametric uncertainties. Given a small number of stochastic simulations, the…

Systems and Control · Computer Science 2017-10-03 John F. Quindlen , Ufuk Topcu , Girish Chowdhary , Jonathan P. How

We present the results of a systematic, unbiased search for subpulse modulation of 187 pulsars performed with the Westerbork Synthesis Radio Telescope (WSRT) in the Netherlands at an observing wavelength of 21 cm. Using new observations and…

Astrophysics · Physics 2009-11-11 P. Weltevrede , R. T. Edwards , B. W. Stappers

There have been significant developments in the period estimation tools and methods for analysing high energy pulsars in the past few decades. However, these tools lack well-standardised methods for calculating uncertainties in period…

High Energy Astrophysical Phenomena · Physics 2023-11-14 Akshat Singhal , Ishan Jain , Suman Bala , Varun Bhalerao

A Bayesian filtering algorithm is developed for a class of state-space systems that can be modelled via Gaussian mixtures. In general, the exact solution to this filtering problem involves an exponential growth in the number of mixture…

Machine Learning · Statistics 2023-07-03 Adrian G. Wills , Johannes Hendriks , Christopher Renton , Brett Ninness

Modeling complex physical systems such as they arise in civil engineering applications requires finding a trade-off between physical fidelity and practicality. Consequently, deviations of simulation from measurements are ubiquitous even…

Computational Engineering, Finance, and Science · Computer Science 2026-03-18 Paolo Villani , Daniel Andrés Arcones , Jörg F. Unger , Martin Weiser

Bayesian inference of nanohertz gravitational-wave background models in pulsar timing array analyses often relies on Gaussian-process interpolators to avoid repeated, computationally expensive strain-spectrum calculations. However,…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-16 Shreyas Tiruvaskar , Chris Gordon

Over the past decade it has become apparent that a class of `bursting pulsars' exist with the discovery of PSR J1752+2359 and PSR J1938+2213. In these pulsars, a sharp increase in the emission is observed that then tends to systematically…

Solar and Stellar Astrophysics · Physics 2014-02-10 Andrew Seymour , Duncan Lorimer , Josh Ridley

Pulsar searches are computationally demanding efforts to discover dispersed periodic signals in time- and frequency-resolved data from radio telescopes. The complexity and computational expense of simultaneously determining the…

Instrumentation and Methods for Astrophysics · Physics 2021-07-14 Lars Künkel , Rajat M. Thomas , Joris P. W. Verbiest

Detection of sparse signals arises in a wide range of modern scientific studies. The focus so far has been mainly on Gaussian mixture models. In this paper, we consider the detection problem under a general sparse mixture model and obtain…

Information Theory · Computer Science 2012-11-13 T. Tony Cai , Yihong Wu

In this chapter we review some examples, methods, and recent results involving comparison of clustering properties of point processes. Our approach is founded on some basic observations allowing us to consider void probabilities and moment…

Probability · Mathematics 2014-05-23 Bartłomiej Błaszczyszyn , D. Yogeshwaran

This work brings together some of the most common machine learning (ML) algorithms, and the objective is to make a comparison at the level of obtained results from a set of unbalanced data. This dataset is composed of almost 17 thousand…

We introduce a model for pulsars in which non-radial oscillations of high spherical degree (l) aligned to the magnetic axis of a spinning neutron star reproduce the morphological features of pulsar beams. In our model, rotation of the…

Astrophysics · Physics 2009-11-10 J. Christopher Clemens , R. Rosen

A number of pulsar timing arrays have recently reported preliminary evidence for the existence of a nanohertz frequency gravitational-wave background. These analyses rely on detailed noise analyses, which are inherently complex due to the…

High Energy Astrophysical Phenomena · Physics 2026-03-25 Valentina Di Marco , Andrew Zic , Ryan M. Shannon , Eric Thrane

Practical application of the harmonic summing technique in the power-spectrum analysis for searching pulsars has exhibited the technique's effectiveness. In this paper, theoretical verification of harmonic summing considering power's…

Instrumentation and Methods for Astrophysics · Physics 2018-11-20 Meng Yu

A gravitational wave passing through a pulsar will lead to a variation in the moment of inertia of the pulsar affecting its rotation. This will affect the extremely accurately measured spin rate of the pulsar as well as its pulse profile…

High Energy Astrophysical Phenomena · Physics 2021-05-17 Arpan Das , Shreyansh S. Dave , Oindrila Ganguly , Ajit M. Srivastava

At present three pulsars are known which clearly show a strongly increasing degree of circular polarization with frequency. As this is accompanied by a smooth decrease of linear polarization, we investigate, if this observation can be…

Astrophysics · Physics 2007-05-23 Alexis von Hoensbroech , Harald Lesch

Neutron stars or pulsars are very rapidly rotating compact stars with extremely high density. One of the unsolved long-standing problems of these enigmatic celestial bodies is the origin of pulsars' glitches, i.e., the sudden rapid…

High Energy Astrophysical Phenomena · Physics 2020-10-20 Giacomo Marmorini , Shigehiro Yasui , Muneto Nitta

In this paper, we investigate the statistical signal-processing algorithm to measure the instant local clock jump from the timing data of multiple pulsars. Our algorithm is based on the framework of Bayesian statistics. In order to make the…

Instrumentation and Methods for Astrophysics · Physics 2019-07-09 Zhixuan Li , Kejia Lee , Ricardo Nicolaos Caballero , Yonghua Xu , Longfei Hao , Min Wang , Jiancheng Wang

In order to reach the sensitivity required to detect gravitational waves, pulsar timing array experiments need to mitigate as much noise as possible in timing data. A dominant amount of noise is likely due to variations in the dispersion…

Instrumentation and Methods for Astrophysics · Physics 2015-06-19 K. J. Lee , C. G. Bassa , G. H. Janssen , R. Karuppusamy , M. Kramer , K. Liu , D. Perrodin , R. Smits , B. W. Stappers , R. van Haasteren , L. Lentati

Pulsar timing is a technique that uses the highly stable spin periods of neutron stars to investigate a wide range of topics in physics and astrophysics. Pulsar timing arrays (PTAs) use sets of extremely well-timed pulsars as a Galaxy-scale…

Instrumentation and Methods for Astrophysics · Physics 2021-10-05 J. P. W. Verbiest , S. Oslowski , S. Burke-Spolaor