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Global Navigation Satellite Systems (GNSS) are vital for reliable urban positioning. However, multipath and non-line-of-sight reception often introduce large measurement errors that degrade accuracy. Learning-based methods for predicting…

Computer Vision and Pattern Recognition · Computer Science 2025-09-23 Jiaqi Zhu , Shouyi Lu , Ziyao Li , Guirong Zhuo , Lu Xiong

Accurate satellite pose estimation is crucial for autonomous guidance, navigation, and control (GNC) systems in in-orbit servicing (IOS) missions. This paper explores the impact of different tasks within a multi-task learning (MTL)…

Machine Learning · Computer Science 2024-10-22 Francesco Evangelisti , Francesco Rossi , Tobia Giani , Ilaria Bloise , Mattia Varile

A posteriori error estimates are an important tool to bound discretization errors in terms of computable quantities avoiding regularity conditions that are often difficult to establish. For non-linear and non-differentiable problems,…

Numerical Analysis · Mathematics 2024-06-12 Sören Bartels , Alex Kaltenbach

The emulation of wireless nodes spatial position is a practice used by deployment engineers and network planners to analyze the characteristics of a network. In particular, nodes geolocation will directly impact factors such as…

Information Theory · Computer Science 2013-06-06 Mouhamed Abdulla , Yousef R. Shayan

As an important component of Earth Orientation Parameters (EOP), the prediction of Celestial Pole Offsets (CPO) holds significant importance for missions such as deep space exploration. To explore a better CPO prediction algorithm that…

Earth and Planetary Astrophysics · Physics 2026-04-30 Wang Wei-long , Wu Yuan-wei , Li Xi-shun , Qiao Hai-hua , Kong Qiao , Yang Hai-yan , Yang Xu-hai

The optical aberrations of a system can be described in terms of the wave aberrations, defined as the departure from the ideal spherical wavefront; or the ray aberrations, which are in turn the deviations from the paraxial ray intersection…

Optics · Physics 2016-01-20 John Restrepo , Pawel J. Stoerck , Ivo Ihrke

Optimal experimental design (OED) is the general formalism of sensor placement and decisions about the data collection strategy for engineered or natural experiments. This approach is prevalent in many critical fields such as battery…

Optimization and Control · Mathematics 2022-06-28 Ahmed Attia , Emil Constantinescu

The measurement of dispersion is one of the most fundamental and ubiquitous statistical concepts, in both applied and theoretical contexts. For dispersion measures, such as the standard deviation, to effectively capture the variability of a…

Methodology · Statistics 2025-07-09 Andreas Eberl , Bernhard Klar

This paper addresses the problem of estimating the position of an object moving in $R^n$ from direction and velocity measurements. After addressing observability issues associated with this problem, a nonlinear observer is designed so as to…

Systems and Control · Computer Science 2015-03-27 Florent Le Bras , Tarek Hamel , Robert Mahony , Claude Samson

Given the critical roles that satellites play in national defense, public safety, and worldwide communications, finding ways to determine satellite trajectories is a crucially important task for improved space situational awareness.…

Computer Vision and Pattern Recognition · Computer Science 2023-10-03 Rohit Khorana

We analyze the fate of dynamical systems that consist of two kind of processes. The first type is supposed to perform a certain function by processing information at a required high accuracy, which is, however, limited to less than 100…

Biological Physics · Physics 2018-10-10 Maximilian Voit , Hildegard Meyer-Ortmanns

Image-based environment perception is an important component especially for driver assistance systems or autonomous driving. In this scope, modern neuronal networks are used to identify multiple objects as well as the according position and…

Computer Vision and Pattern Recognition · Computer Science 2023-02-07 Fabian Küppers

A linear dispersive mechanism leading to a burst in the $L_\infty$ norm of the error in numerical simulation of polychromatic solutions is identified. This local error pile-up corresponds to the existence of spurious caustics, which are…

Analysis of PDEs · Mathematics 2008-11-05 Claire David , Pierre Sagaut

Data assimilation leads naturally to a Bayesian formulation in which the posterior probability distribution of the system state, given the observations, plays a central conceptual role. The aim of this paper is to use this Bayesian…

Data Analysis, Statistics and Probability · Physics 2013-01-01 K. J. H. Law , A. M. Stuart

Accurate positioning, navigation and timing (PNT) are crucial for upcoming lunar surface missions. Lunar satellite navigation systems are being developed, but lack coverage during early deployment phases. Hybrid lunar PNT combining…

Signal Processing · Electrical Eng. & Systems 2025-08-15 Robert Pöhlmann , Emanuel Staudinger , Gonzalo Seco-Granados

The localization problem in a wireless sensor network is to determine the coordination of sensor nodes using the known positions of some nodes (called anchors) and corresponding noisy distance measurements. There is a variety of different…

Optimization and Control · Mathematics 2014-09-19 Pouya Mollaebrahim Ghari , Reza Shahbazian , Seyed Ali Ghorashi

Stein's (1959) problem highlights the phenomenon called the probability dilution in high dimensional cases, which is known as a fundamental deficiency in probabilistic inference. The satellite conjunction problem also suffers from…

Methodology · Statistics 2023-10-17 Hangbin Lee , Youngjo Lee

For future extremely large telescopes, error in extreme adaptive optics systems at small angular separations will be highly impacted by the lag time of the correction, which is typically on millisecond timescales; one solution is to apply a…

Instrumentation and Methods for Astrophysics · Physics 2023-10-05 J. Fowler , M. A. M. van Kooten , R. Jensen-Clem

Modern deep learning techniques that regress the relative camera pose between two images have difficulty dealing with challenging scenarios, such as large camera motions resulting in occlusions and significant changes in perspective that…

Computer Vision and Pattern Recognition · Computer Science 2024-12-06 Kefan Chen , Noah Snavely , Ameesh Makadia

Typical template-based object pose pipelines estimate the pose by retrieving the closest matching template and aligning it with the observed image. However, failure to retrieve the correct template often leads to inaccurate pose…

Computer Vision and Pattern Recognition · Computer Science 2025-10-22 Junwen Huang , Shishir Reddy Vutukur , Peter KT Yu , Nassir Navab , Slobodan Ilic , Benjamin Busam