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Pulsar timing observations are usually analysed with least-square-fitting procedures under the assumption that the timing residuals are uncorrelated (statistically "white"). Pulsar observers are well aware that this assumption often breaks…

Instrumentation and Methods for Astrophysics · Physics 2015-05-28 W. Coles , G. Hobbs , D. J. Champion , R. N. Manchester , J. P. W. Verbiest

This paper explores the problem of clustering ensemble, which aims to combine multiple base clusterings to produce better performance than that of the individual one. The existing clustering ensemble methods generally construct a…

Machine Learning · Computer Science 2020-12-17 Yuheng Jia , Hui Liu , Junhui Hou , Qingfu Zhang

The problem of clustering noisy and incompletely observed high-dimensional data points into a union of low-dimensional subspaces and a set of outliers is considered. The number of subspaces, their dimensions, and their orientations are…

Machine Learning · Statistics 2015-08-24 Reinhard Heckel , Helmut Bölcskei

The Australian, Chinese, European, Indian, and North American pulsar timing array (PTA) collaborations recently reported, at varying levels, evidence for the presence of a nanohertz gravitational wave background (GWB). Given that each PTA…

High Energy Astrophysical Phenomena · Physics 2023-09-06 The International Pulsar Timing Array Collaboration , G. Agazie , J. Antoniadis , A. Anumarlapudi , A. M. Archibald , P. Arumugam , S. Arumugam , Z. Arzoumanian , J. Askew , S. Babak , M. Bagchi , M. Bailes , A. -S. Bak Nielsen , P. T. Baker , C. G. Bassa , A. Bathula , B. Bécsy , A. Berthereau , N. D. R. Bhat , L. Blecha , M. Bonetti , E. Bortolas , A. Brazier , P. R. Brook , M. Burgay , S. Burke-Spolaor , R. Burnette , R. N. Caballero , A. Cameron , R. Case , A. Chalumeau , D. J. Champion , S. Chanlaridis , M. Charisi , S. Chatterjee , K. Chatziioannou , B. D. Cheeseboro , S. Chen , Z. -C. Chen , I. Cognard , T. Cohen , W. A. Coles , J. M. Cordes , N. J. Cornish , F. Crawford , H. T. Cromartie , K. Crowter , M. Curyło , C. J. Cutler , S. Dai , S. Dandapat , D. Deb , M. E. DeCesar , D. DeGan , P. B. Demorest , H. Deng , S. Desai , G. Desvignes , L. Dey , N. Dhanda-Batra , V. Di Marco , T. Dolch , B. Drachler , C. Dwivedi , J. A. Ellis , M. Falxa , Y. Feng , R. D. Ferdman , E. C. Ferrara , W. Fiore , E. Fonseca , A. Franchini , G. E. Freedman , J. R. Gair , N. Garver-Daniels , P. A. Gentile , K. A. Gersbach , J. Glaser , D. C. Good , B. Goncharov , A. Gopakumar , E. Graikou , J. -M. Grießmeier , L. Guillemot , K. Gültekin , Y. J. Guo , Y. Gupta , K. Grunthal , J. S. Hazboun , S. Hisano , G. B. Hobbs , S. Hourihane , H. Hu , F. Iraci , K. Islo , D. Izquierdo-Villalba , J. Jang , J. Jawor , G. H. Janssen , R. J. Jennings , A. Jessner , A. D. Johnson , M. L. Jones , B. C. Joshi , A. R. Kaiser , D. L. Kaplan , A. Kapur , F. Kareem , R. Karuppusamy , E. F. Keane , M. J. Keith , L. Z. Kelley , M. Kerr , J. S. Key , D. Kharbanda , T. Kikunaga , T. C. Klein , N. Kolhe , M. Kramer , M. A. Krishnakumar , A. Kulkarni , N. Laal , K. Lackeos , M. T. Lam , W. G. Lamb , B. B. Larsen , T. J. W. Lazio , K. J. Lee , Y. Levin , N. Lewandowska , T. B. Littenberg , K. Liu , T. Liu , Y. Liu , A. Lommen , D. R. Lorimer , M. E. Lower , J. Luo , R. Luo , R. S. Lynch , A. G. Lyne , C. -P. Ma , Y. Maan , D. R. Madison , R. A. Main , R. N. Manchester , R. Mandow , M. A. Mattson , A. McEwen , J. W. McKee , M. A. McLaughlin , N. McMann , B. W. Meyers , P. M. Meyers , M. B. Mickaliger , M. Miles , C. M. F. Mingarelli , A. Mitridate , P. Natarajan , R. S. Nathan , C. Ng , D. J. Nice , I. C. Niţu , K. Nobleson , S. K. Ocker , K. D. Olum , S. Osłowski , A. K. Paladi , A. Parthasarathy , T. T. Pennucci , B. B. P. Perera , D. Perrodin , A. Petiteau , P. Petrov , N. S. Pol , N. K. Porayko , A. Possenti , T. Prabu , H. Quelquejay Leclere , H. A. Radovan , P. Rana , S. M. Ransom , P. S. Ray , D. J. Reardon , A. F. Rogers , J. D. Romano , C. J. Russell , A. Samajdar , S. A. Sanidas , S. C. Sardesai , A. Schmiedekamp , C. Schmiedekamp , K. Schmitz , L. Schult , A. Sesana , G. Shaifullah , R. M. Shannon , B. J. Shapiro-Albert , X. Siemens , J. Simon , J. Singha , M. S. Siwek , L. Speri , R. Spiewak , A. Srivastava , I. H. Stairs , B. W. Stappers , D. R. Stinebring , K. Stovall , J. P. Sun , M. Surnis , S. C. Susarla , A. Susobhanan , J. K. Swiggum , K. Takahashi , P. Tarafdar , J. Taylor , S. R. Taylor , G. Theureau , E. Thrane , N. Thyagarajan , C. Tiburzi , L. Toomey , J. E. Turner , C. Unal , M. Vallisneri , E. van der Wateren , R. van Haasteren , A. Vecchio , V. Venkatraman Krishnan , J. P. W. Verbiest , S. J. Vigeland , H. M. Wahl , S. Wang , Q. Wang , C. A. Witt , J. Wang , L. Wang , K. E. Wayt , Z. Wu , O. Young , L. Zhang , S. Zhang , X. -J. Zhu , A. Zic

We present a method for assigning a statistical significance to detection candidates in targeted searches for continuous gravitational waves from known pulsars, without assuming the detector noise is Gaussian and stationary. We take…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Maximiliano Isi , Simone Mastrogiovanni , Matthew Pitkin , Ornella Juliana Piccinni

Spectral clustering and co-clustering are well-known techniques in data analysis, and recent work has extended spectral clustering to square, symmetric tensors and hypermatrices derived from a network. We develop a new tensor spectral…

Social and Information Networks · Computer Science 2016-03-02 Tao Wu , Austin R. Benson , David F. Gleich

Over the past decade and a half, adoption of Bayesian inference in pulsar timing analysis has led to increasingly sophisticated models. The recent announcement of evidence for a stochastic background of gravitational waves by various pulsar…

Instrumentation and Methods for Astrophysics · Physics 2024-11-28 Rutger van Haasteren

We present a detailed analysis of the expected signal-to-noise ratios of supermassive black hole binaries on eccentric orbits observed by pulsar timing arrays. We derive several analytical relations that extend the results of Peters and…

General Relativity and Quantum Cosmology · Physics 2015-09-11 E. A. Huerta , Sean T. McWilliams , Jonathan R. Gair , Stephen R. Taylor

A general approach is introduced for the efficient simultaneous optimization of pulses that compensate each other' s imperfections within the same scan. This is applied to broadband Ramsey-type experiments, resulting in pulses with…

Quantum Physics · Physics 2015-06-19 Michael Braun , Steffen J. Glaser

In this paper, we introduce a new algorithm to deal with the stalling effect in the LMS algorithm used in adaptive filters. We modify the update rule of the tap weight vectors by adding noise, generated by a noise generator. The properties…

Signal Processing · Electrical Eng. & Systems 2018-07-20 Hamid Reza Shahdoosti

Pulsar timing uses the highly stable pulsar spin period to investigate many astrophysical topics. In particular, pulsar timing arrays make use of a set of extremely well-timed pulsars and their time correlations as a challenging detector of…

Astrophysics of Galaxies · Physics 2021-12-16 Michele Maiorano , Francesco De Paolis , Achille A. Nucita

We consider estimation models of the form $Y=X^*+N$, where $X^*$ is some $m$-dimensional signal we wish to recover, and $N$ is symmetrically distributed noise that may be unbounded in all but a small $\alpha$ fraction of the entries. We…

Machine Learning · Computer Science 2022-11-15 Tommaso d'Orsi , Rajai Nasser , Gleb Novikov , David Steurer

Motivated by successful classical models for noise reduction, we suggest a quantum technique for filtering noise out of quantum states. The purpose of this paper is twofold: presenting a simple construction of quantum cross-correlations…

Quantum Physics · Physics 2017-11-27 Boaz Tamir , Eliahu Cohen

The goal of the MeerKAT radio telescope's pulsar timing array programme (MPTA) is the detection of gravitational waves (GWs) of nanohertz frequencies. Evidence for such a signal was recently announced by the MPTA and several other pulsar…

The long time effect of nonlinear perturbation to oscillatory linear systems can be characterized by the averaging method, and we consider first-order averaging for its simplest applicability to high-dimensional problems. Instead of the…

Classical Analysis and ODEs · Mathematics 2018-12-05 Molei Tao

The paper documents the implementation of a novel phase-noise analysis module within the open-source QUCS circuit simulator environment. The underlying algorithm is based on a rigorous, unified time-domain methodology of (coupled)…

Systems and Control · Electrical Eng. & Systems 2026-03-10 Torsten Djurhuus , Viktor Krozer

This paper demonstrates the impact of state-of-the-art instrumental calibration techniques on the precision of arrival times obtained from 9.6 years of observations of millisecond pulsars using the Murriyang 64-m CSIRO Parkes Radio…

Algorithms increasingly operate within complex physical, social, and engineering systems where they are exposed to disturbances, noise, and interconnections with other dynamical systems. This article extends known convergence guarantees of…

Machine Learning · Computer Science 2025-12-22 Guner Dilsad Er , Sebastian Trimpe , Michael Muehlebach

In this paper, we consider the task of clustering a set of individual time series while modeling each cluster, that is, model-based time series clustering. The task requires a parametric model with sufficient flexibility to describe the…

Machine Learning · Computer Science 2023-02-23 Ryohei Umatani , Takashi Imai , Kaoru Kawamoto , Shutaro Kunimasa

Continuous nanohertz gravitational waves from individual supermassive black hole binaries may be detectable with pulsar timing arrays. A novel search strategy is developed, wherein intrinsic achromatic spin wandering is tracked…