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Gaussian processes (GPs) are important probabilistic tools for inference and learning in spatio-temporal modelling problems such as those in climate science and epidemiology. However, existing GP approximations do not simultaneously support…

Machine Learning · Computer Science 2021-06-21 Will Tebbutt , Arno Solin , Richard E. Turner

A partially alternative derivation of the expression for the time dilation effect in a uniform static gravitational field is obtained by means of a thought experiment in which rates of clocks at rest at different heights are compared using…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Marco Alberici

It is widely recognised that over-reliance on GNSS (e.g GPS) for time synchronisation represents an acute threat to modern society, and a diversity of alternatives are required to mitigate the threat of an outage. This paper proposes a GNSS…

Signal Processing · Electrical Eng. & Systems 2023-07-28 Stephen Robson

We present results of our study devoted to the development of a time correction algorithm needed to precisely synchronize a free-running Rubidium atomic clock with the Coordinated Universal Time (UTC). This R&D is performed in view of the…

This paper presents a high-precision gravitational redshift test using the China Space Station (CSS) Laser Time Transfer (CLT) system. We develop a comprehensive observation equation based on a c^{-3} order relativistic model for…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Rui Xu , Wenbin Shen , Hok Sum Fok , Pengfei Zhang , Lihong Li , Lei Wang , Kuangchao Wu , An Ning , Youchao Xie , Ziyu Shen , Lingxuan Wang , Yongqi Zhao , Kai Liu , Yuanjin Pan

The passage of time is tracked by counting oscillations of a frequency reference, such as Earth's revolutions or swings of a pendulum. By referencing atomic transitions, frequency (and thus time) can be measured more precisely than any…

We present the results from nearly three years of monitoring of the variations in dispersion measure (DM) along the line-of-sight to 11 millisecond pulsars using the Giant Metrewave Radio Telescope (GMRT). These results demonstrate…

High Energy Astrophysical Phenomena · Physics 2015-06-11 Ujjwal Kumar , Yashwant Gupta , Willem van Straten , Stefan Oslowski , Jayanta Roy , N. D. R. Bhat , Matthew Bailes , Michael J. Keith

General Relativity (GR) is shown to be a complete theory with respect to the isochrony of the pendulum. This guarantees that time can be measured with a mechanical clock within the theory itself as a matter of principle. The proper and…

General Relativity and Quantum Cosmology · Physics 2022-05-06 Miguel A. Martin-Delgado

General relativity (GR) is a highly successful theory that describes gravity as a geometric phenomenon. The gravitational redshift, a classic test of GR, can potentially be violated in alternative gravity theories, and experimental tests on…

General Relativity and Quantum Cosmology · Physics 2025-02-26 Cheng-Gang Qin , Tong Liu , Xiao-Yi Dai , Peng-Bin Guo , Weisheng Huang , Xiang-Pei Liu , Yu-Jie Tan , Cheng-Gang Shao

Gaussian processes (GPs) are flexible, probabilistic, nonparametric models widely used in fields such as spatial statistics and machine learning. A drawback of Gaussian processes is their computational cost, with $O(N^3)$ time and $O(N^2)$…

Computation · Statistics 2026-05-20 Filippo Rambelli , Fabio Sigrist

Gaussian Processes (GPs) are expressive models for capturing signal statistics and expressing prediction uncertainty. As a result, the robotics community has gathered interest in leveraging these methods for inference, planning, and…

Robotics · Computer Science 2023-08-29 Francesco Crocetti , Jeffrey Mao , Alessandro Saviolo , Gabriele Costante , Giuseppe Loianno

It has recently been reported [\textit{PNAS} \textbf{114}, 2303 (2017)] that, under an operational definition of time, quantum clocks would get entangled through gravitational effects. Here we study an alternative scenario: the clocks have…

Quantum Physics · Physics 2019-11-14 Jieci Wang , Tonghua Liu , Jiliang Jing , Songbai Chen

Reliable estimates of Gross Primary Productivity (GPP), crucial for evaluating climate change initiatives, are currently only available from sparsely distributed eddy covariance tower sites. This limitation hampers access to reliable GPP…

Machine Learning · Computer Science 2023-06-27 Rumi Nakagawa , Mary Chau , John Calzaretta , Trevor Keenan , Puya Vahabi , Alberto Todeschini , Maoya Bassiouni , Yanghui Kang

Gravitational redshift is an important prediction of General Relativity (GR). We propose a novel dual one-way frequency comparison scheme for gravitational redshift tests in satellite-ground clock experiments. Unlike conventional…

General Relativity and Quantum Cosmology · Physics 2025-08-28 Cheng-Gang Qin , Tong Liu , Yang Li , Qi-Long Gong , Qin Li , Zhi-Yu Ma

In this paper, we introduce proximal gradient temporal difference learning, which provides a principled way of designing and analyzing true stochastic gradient temporal difference learning algorithms. We show how gradient TD (GTD)…

Machine Learning · Computer Science 2020-06-09 Bo Liu , Ian Gemp , Mohammad Ghavamzadeh , Ji Liu , Sridhar Mahadevan , Marek Petrik

The generalized cross correlation (GCC) is regarded as the most popular approach for estimating the time difference of arrival (TDOA) between the signals received at two sensors. Time delay estimates are obtained by maximizing the GCC…

Audio and Speech Processing · Electrical Eng. & Systems 2020-03-25 Maximo Cobos , Fabio Antonacci , Luca Comanducci , Augusto Sarti

In this paper, the generalized regression neural network is used to predict the GNSS position time series. Using the IGS 24-hour final solution data for Bad Hamburg permanent GNSS station in Germany, it is shown that the larger the training…

Signal Processing · Electrical Eng. & Systems 2020-05-25 M. Kiani

Geometric distortion (GD) critically constrains the precision of astrometry. Using well-established methods to correct GD requires calibration observations, which can only be obtained using a special dithering strategy during the…

Instrumentation and Methods for Astrophysics · Physics 2024-10-31 F. R. Lin , Q. Y. Peng , Z. J. Zheng , B. F. Guo

UE localization has proven its implications on multitude of use cases ranging from emergency call localization to new and emerging use cases in industrial IoT. To support plethora of use cases Radio Access Technology (RAT)-based positioning…

Networking and Internet Architecture · Computer Science 2021-06-07 Yuxin Zhao , Deep Shrestha

Models for human choice prediction in preference learning and psychophysics often consider only binary response data, requiring many samples to accurately learn preferences or perceptual detection thresholds. The response time (RT) to make…

Neurons and Cognition · Quantitative Biology 2023-06-13 Michael Shvartsman , Benjamin Letham , Stephen Keeley