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Scalable Gaussian process (GP) inference is essential for sequential decision-making tasks, yet improving GP scalability remains a challenging problem with many open avenues of research. This paper focuses on iterative GPs, where iterative…

Machine Learning · Computer Science 2025-11-21 Alan Yufei Dong , Jihao Andreas Lin , José Miguel Hernández-Lobato

This study concerns the fast and accurate solution of the line radiation transfer problem, under non-LTE conditions. We propose and evaluate an alternative iterative scheme to the classical ALI-Jacobi method, and to the more recently…

Instrumentation and Methods for Astrophysics · Physics 2015-05-13 F. Paletou , E. Anterrieu

The graph-based invariant set (GIS) algorithm is a promising set-based technique for computing the largest (with respect to inclusion) control invariant set of general discrete-time nonlinear dynamical systems. However, like other invariant…

Systems and Control · Electrical Eng. & Systems 2022-02-15 Benjamin Decardi-Nelsona , Jinfeng Liu

Accurate and continuous monitoring of Earth's gravity field is essential for tracking mass redistribution processes linked to climate variability, hydrological cycles, and geodynamic phenomena. While the GRACE and GRACE Follow-On (GRACE-FO)…

The Gaia mission is expected to provide highly accurate astrometric, photometric, and spectroscopic measurements for about $10^9$ objects. Automated classification of detected sources is a key part of the data processing. Here a few aspects…

Astrophysics · Physics 2008-12-02 A. Vallenari , R. Sordo

The proposed Laser Interferometer Space Antenna (LISA) mission is tasked with the detection and characterization of gravitational waves from various sources in the universe. This endeavor is challenged by transient displacement and…

Instrumentation and Methods for Astrophysics · Physics 2024-05-21 Niklas Houba , Luigi Ferraioli , Domenico Giardini

Predicting the cheapest sample size for the optimal stratification in multivariate survey design is a problem in cases where the population frame is large. A solution exists that iteratively searches for the minimum sample size necessary to…

Methodology · Statistics 2018-06-18 Mervyn O'Luing , Steven Prestwich , S. Armagan Tarim

In practical conjugate gradient (CG) computations it is important to monitor the quality of the approximate solution to $Ax=b$ so that the CG algorithm can be stopped when the required accuracy is reached. The relevant convergence…

Numerical Analysis · Mathematics 2018-10-05 Gérard Meurant , Petr Tichý

Gaia is an ESA cornerstone mission, which was successfully launched December 2013 and commenced operations in July 2014. Within the Gaia Data Processing and Analysis consortium, Coordination Unit 7 (CU7) is responsible for the variability…

Gaia DR2 published positions, parallaxes and proper motions for an unprecedented 1,331,909,727 sources, revolutionising the field of Galactic dynamics. We complement this data with the Astrometry Spread Function (ASF), the expected…

Astrophysics of Galaxies · Physics 2021-03-18 Andrew Everall , Douglas Boubert , Sergey E. Koposov , Leigh Smith , Berry Holl

Many statistical problems involve optimization over a discrete parameter space having an unknown dimension. In such settings, gradient-based methods often fail due to the non-differentiability of the objective function or a non-convex or…

Applications · Statistics 2026-03-19 Mo Li , QiQi Lu , Robert Lund , Xueheng Shi

Active Galactic Nuclei (AGNs), owing to their great distances and compact sizes, serve as fundamental anchors for defining the celestial reference frame. With about 1.9 million AGNs observed in Gaia DR3 at optical precision comparable to…

Astrophysics of Galaxies · Physics 2025-11-05 Shilong Liao , Qiqi Wu , Ye Ding , Qi Xu , Zhaoxiang Qi

This paper evaluates the performance of algorithms suitable to process the measurements from two laser beam metrology systems, in particular with reference to the Gaia Basic Angle Monitoring device. The system and signal characteristics are…

Instrumentation and Methods for Astrophysics · Physics 2014-08-05 Mario Gai , Alberto Riva , Deborah Busonero , Raffaella Buzzi , Federico Russo

GAIA is a short-listed candidate for the ESA Cornerstone mission C5, meeting the ESA Survey Committee requirement for an observatory mission, dedicated to astrometry, providing 10 micro-arcsecond accuracy at 15th magnitude. The GAIA mission…

This paper proposes distributed adaptive algorithms based on the conjugate gradient (CG) method and the diffusion strategy for parameter estimation over sensor networks. We present sparsity-aware conventional and modified distributed CG…

Information Theory · Computer Science 2015-11-23 Rodrigo C. de Lamare

Implicit Neural Representations (INR) have been successfully employed for Arbitrary-scale Super-Resolution (ASR). However, INR-based models need to query the multi-layer perceptron module numerous times and render a pixel in each query,…

Image and Video Processing · Electrical Eng. & Systems 2025-07-31 Du Chen , Liyi Chen , Zhengqiang Zhang , Lei Zhang

We present the Gaia-Groundbased Observational Service for Asteroids (GOSA). Gaia-GOSA is an interactive tool which supports observers in planning photometric observations of asteroids. Each user is able to personalise the observation plan…

Instrumentation and Methods for Astrophysics · Physics 2015-05-15 T. Santana-Ros , P. Bartczak , T. Michałowski

The Hipparcos mission (1989-1993) resulted in the first space-based stellar catalogue including measurements of positions, parallaxes and annual proper motions accurate to about one milli-arcsecond. More space astrometry missions will…

Instrumentation and Methods for Astrophysics · Physics 2012-01-16 Daniel Michalik , Lennart Lindegren , David Hobbs , Uwe Lammers , Yoshiyuki Yamada

The Gaia second data release contains high-accuracy astrometric measurements of thousands of solar system bodies. These measurements raise the possibility of determining asteroid masses by modeling scattering events between massive objects…

Earth and Planetary Astrophysics · Physics 2023-12-20 Zachary Murray

We present a pilot study of Galactic globular cluster (GC) proper motion (PM) determinations using Gaia data. We search for GC stars in the Tycho-Gaia Astrometric Solution (TGAS) catalogue from Gaia Data Release 1 (DR1), and identify five…

Solar and Stellar Astrophysics · Physics 2017-06-22 Laura L. Watkins , Roeland P. van der Marel