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We describe the Reversibility Error Method (REM) and its applications to planetary dynamics. REM is based on the time-reversibility analysis of the phase-space trajectories of conservative Hamiltonian systems. The round-off errors break the…

Earth and Planetary Astrophysics · Physics 2017-03-31 Federico Panichi , Krzyszof Goździewski , Giorgio Turchetti

The observed values of the time-derivatives of the spin or orbital frequency of pulsars are affected by their dynamical properties. We derive thorough analytical expressions for such dynamical contributions in terms of the Galactic…

High Energy Astrophysical Phenomena · Physics 2021-08-02 Dhruv Pathak , Manjari Bagchi

Many econometric analyses involve spatio--temporal data. A considerable amount of literature has addressed spatio--temporal models, with Spatial Dynamic Panel Data (SDPD) being widely investigated and applied. In real data applications,…

Methodology · Statistics 2016-07-18 Maria Lucia Parrella

We consider the impact that temporal correlations in the measurement statistics can have on the achievable precision in a sequential metrological protocol. In this setting, and for a single quantum probe, we establish that it is the…

Quantum Physics · Physics 2024-04-02 Eoin O'Connor , Steve Campbell , Gabriel T. Landi

A crucial assumption to reduce computational complexity in spatial-temporal data analysis is separability, which factors the covariance structure into a purely spatial and a purely temporal component. In this paper, we develop statistical…

Statistics Theory · Mathematics 2026-03-30 Lujia Bai , Holger Dette , Zihao Yuan

The EPM2011 ephemerides are computed using an updated dynamical model, new values of the parameters, and an extended observation database that contains about 680 000 positional measurements of various types obtained from 1913 to 2011. The…

Earth and Planetary Astrophysics · Physics 2013-08-30 E. V. Pitjeva

We propose a new estimator to measure directed dependencies in time series. The dimensionality of data is first reduced using a new non-uniform embedding technique, where the variables are ranked according to a weighted sum of the amount of…

Methodology · Statistics 2020-12-02 Payam Shahsavari Baboukani , Carina Graversen , Emina Alickovic , Jan Østergaard

Many real-world systems modeled using differential equations involve unknown or uncertain parameters. Standard approaches to address parameter estimation inverse problems in this setting typically focus on estimating constants; yet some…

Dynamical Systems · Mathematics 2024-03-25 Anna Fitzpatrick , Molly Folino , Andrea Arnold

Human motion prediction is essential for the safe and smooth operation of mobile service robots and intelligent vehicles around people. Commonly used neural network-based approaches often require large amounts of complete trajectories to…

Robotics · Computer Science 2023-06-07 Yufei Zhu , Andrey Rudenko , Tomasz P. Kucner , Achim J. Lilienthal , Martin Magnusson

We investigate the systematic errors in measured plasma velocity distribution functions and their corresponding velocity moments, arising from the limited energy and angular resolution of top-hat electrostatic analyzers. For this purpose,…

Mars is the next frontier after Moon for space explorers to demonstrate the extent of human expedition and technology beyond low-earth orbit. Government space agencies as well as private space sectors are extensively endeavouring for a…

Instrumentation and Methods for Astrophysics · Physics 2020-09-21 Malaya Kumar Biswal M , Ramesh Naidu Annavarapu

Many potential direct imaging candidates suffer from large orbital period uncertainties, leading to challenges in accurate predictions of future orbital positions and imprecise direct imaging measurements of planetary parameters. To improve…

Earth and Planetary Astrophysics · Physics 2025-09-23 Zhexing Li , Stephen R. Kane , Sarah Blunt , Caleb K. Harada

Advances in satellite-based data collection techniques have served as a catalyst for new statistical methodology to analyze these data. In wildlife ecological studies, satellite-based data and methodology have provided a wealth of…

Methodology · Statistics 2016-10-07 Mevin B. Hooten , Devin S. Johnson

Predicting high-dimensional dynamical systems with irregular time steps presents significant challenges for current data-driven algorithms. These irregularities arise from missing data, sparse observations, or adaptive computational…

Machine Learning · Computer Science 2026-03-27 Kewei Zhu , Yanze Xin , Jinwei Hu , Xiaoyuan Cheng , Yiming Yang , Sibo Cheng

Low Earth orbit (LEO) satellites are leveraged to support new position, navigation, and timing (PNT) service alternatives to GNSS. These alternatives require accurate propagation of satellite position and velocity with a realistic…

Machine Learning · Computer Science 2026-02-20 Alex Moody , Penina Axelrad , Rebecca Russell

The first systematic comparison between Swarm-C accelerometer-derived thermospheric density and both empirical and physics-based model results using multiple model performance metrics is presented. This comparison is performed at the…

Atmospheric and Oceanic Physics · Physics 2018-07-12 Timothy Kodikara , Brett Carter , Kefei Zhang

PET is a functional imaging method that visualizes metabolic processes. TOF information can be derived from coincident detector signals and incorporated into image reconstruction to enhance the SNR. PET detectors are typically assessed by…

Instrumentation and Detectors · Physics 2025-04-24 Stephan Naunheim , Luis Lopes de Paiva , Vanessa Nadig , Yannick Kuhl , Stefan Gundacker , Florian Mueller , Volkmar Schulz

In the light of recent experimental and theoretical data, we go back to the studies tackled in previous publications [1] and develop some of their consequences. Some of their main aspects will be studied in further detail. Yet this text…

General Physics · Physics 2008-03-27 Joseph Levy

Cosmological parameter estimation requires that the likelihood function of the data is accurately known. Assuming that cosmological large-scale structure power spectra data are multivariate Gaussian-distributed, we show the accuracy of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Andy Taylor , Benjamin Joachimi , Thomas Kitching

Bridging the sim-to-real gap remains a fundamental challenge in robotics, as accurate dynamic parameter estimation is essential for reliable model-based control, realistic simulation, and safe deployment of manipulators. Traditional…

Robotics · Computer Science 2025-12-10 Mohammed Elseiagy , Tsige Tadesse Alemayoh , Ranulfo Bezerra , Shotaro Kojima , Kazunori Ohno