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Value-at-risk (VaR) has been playing the role of a standard risk measure since its introduction. In practice, the delta-normal approach is usually adopted to approximate the VaR of portfolios with option positions. Its effectiveness,…

Methodology · Statistics 2019-04-22 Junyao Chen , Tony Sit , Hoi Ying Wong

The vast majority of the orbital population today is unobservable and untracked because of their small size. These lethal non-trackable objects will only become more numerous as more payloads and debris are launched into orbit and increase…

Earth and Planetary Astrophysics · Physics 2024-08-28 Daniel Jang , Richard Linares

Complex computer simulators are increasingly used across fields of science as generative models tying parameters of an underlying theory to experimental observations. Inference in this setup is often difficult, as simulators rarely admit a…

Machine Learning · Statistics 2020-04-17 Gilles Louppe , Joeri Hermans , Kyle Cranmer

While simulation is vital for optimizing robotic systems, the cost of modeling deformable terrain has long limited its use in full-vehicle studies of off-road autonomous mobility. For example, Discrete Element Method (DEM) simulations are…

Robotics · Computer Science 2026-02-03 Huzaifa Mustafa Unjhawala , Khizar Shaikh , Luning Bakke , Radu Serban , Dan Negrut

Nonlinear equations systems (NESs) are widely used in real-world problems while they are also difficult to solve due to their characteristics of nonlinearity and multiple roots. Evolutionary algorithm (EA) is one of the methods for solving…

Neural and Evolutionary Computing · Computer Science 2020-08-11 Aijuan Song , Guohua Wu , Witold Pedrycz

Very low Earth orbits (VLEO), typically classified as orbits below approximately 450 km in altitude, have the potential to provide significant benefits to spacecraft over those that operate in higher altitude orbits. This paper provides a…

Low Earth orbits (LEO) are known as a region of high space activity and, consequently, space debris highest density. Launcher upper stages and defunct satellites are the largest space debris objects, whose collisions can result in still…

Space Physics · Physics 2018-01-08 Sergey Efimov , Dmitry Pritykin , Vladislav Sidorenko

This paper introduces a novel Monte Carlo (MC) method to simulate the evolution of the low-earth orbit environment, enhancing the MIT Orbital Capacity Analysis Tool (MOCAT). In recent decades, numerous space environment models have been…

Earth and Planetary Astrophysics · Physics 2024-10-15 Daniel Jang , Davide Gusmini , Peng Mun Siew , Andrea D'Ambrosio , Simone Servadio , Pablo Machuca , Richard Linares

Reliability analysis is a sub-field of uncertainty quantification that assesses the probability of a system performing as intended under various uncertainties. Traditionally, this analysis relies on deterministic models, where experiments…

Computation · Statistics 2026-05-19 Anderson V. Pires , Maliki Moustapha , Stefano Marelli , Bruno Sudret

We present the results of a large scale simulation, reproducing the behavior of a data center for the build-up and maintenance of a complete catalog of space debris in the upper part of the low Earth orbits region (LEO). The purpose is to…

Dynamical Systems · Mathematics 2015-05-28 Andrea Milani , Davide Farnocchia , Linda Dimare , Alessandro Rossi , Fabrizio Bernardi

Virtual beam diagnostics relies on computationally intensive beam dynamics simulations where high-dimensional charged particle beams evolve through the accelerator. We propose Latent Evolution Model (LEM), a hybrid machine learning…

Accelerator Physics · Physics 2026-02-27 Mahindra Rautela , Alexander Scheinker

Low-earth-orbit (LEO) satellite communication systems that use millimeter-wave frequencies rely on large antenna arrays with hybrid analog-digital architectures for rapid beam steering. LEO satellites are only visible from the ground for…

Signal Processing · Electrical Eng. & Systems 2025-11-03 Anders Malthe Westerkam , Amélia Struyf , Dimitri Lederer , Troels Pedersen , François Quitin

Learning-based robotic systems demand rigorous validation to assure reliable performance, but extensive real-world testing is often prohibitively expensive, and if conducted may still yield insufficient data for high-confidence guarantees.…

Robotics · Computer Science 2025-09-05 Rachel Luo , Heng Yang , Michael Watson , Apoorva Sharma , Sushant Veer , Edward Schmerling , Marco Pavone

Multi orbit low earth orbit (LEO) satellites communication is envisioned as a key infrastructure to deliver global coverage, enabling future services from space air ground integrated networks.However, the optimized design of LEO which…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Yingzhuo Sun , Yulan Gao , Ming Xiao , Zhu Han , Octavia A. Dobre

Optimizing risk measures such as Value-at-Risk (VaR) and Conditional Value-at-Risk (CVaR) of a general loss distribution is usually difficult, because 1) the loss function might lack structural properties such as convexity or…

Optimization and Control · Mathematics 2016-08-03 Helin Zhu , Joshua Hale , Enlu Zhou

This paper presents an analytical model for collision probability assessments between de-orbiting or injecting space objects and satellite constellations. Considering the first to be subjected to a continuous tangential acceleration, its…

Instrumentation and Methods for Astrophysics · Physics 2023-05-15 Eduardo Maria Polli , Juan Luis Gonzalo , Camilla Colombo

Designing for manufacturing poses significant challenges in part due to the computation bottleneck of Computer-Aided Manufacturing (CAM) simulations. Although deep learning as an alternative offers fast inference, its performance is…

Machine Learning · Computer Science 2024-06-19 Yu-hsuan Chen , Jonathan Cagan , Levent Burak kara

Future launches are projected to significantly increase both the number of active satellites and aggregate collision risk in Low Earth Orbit (LEO). In this paper, a dynamical systems theory approach is used to analyze the effect of launch…

Earth and Planetary Astrophysics · Physics 2022-12-05 Celina Pasiecznik , Andrea D'Ambrosio , Daniel Jang , Richard Linares

The increasing volume of space objects in Earth's orbit presents a significant challenge for Space Situational Awareness (SSA). And in particular, accurate orbit prediction is crucial to anticipate the position and velocity of space…

Machine Learning · Computer Science 2024-09-24 Francisco Caldas , Cláudia Soares

Differentiable simulation is a promising toolkit for fast gradient-based policy optimization and system identification. However, existing approaches to differentiable simulation have largely tackled scenarios where obtaining smooth…

Machine Learning · Statistics 2022-07-04 Rika Antonova , Jingyun Yang , Krishna Murthy Jatavallabhula , Jeannette Bohg
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