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Estimating the probability of failures or accidents with aerospace systems is often necessary when new concepts or designs are introduced, as it is being done for Autonomous Aircraft. If the design is safe, as it is supposed to be, accident…

Applications · Statistics 2018-08-10 Ítalo Romani de Oliveira , Jeffery Musiak

We demonstrate the presence of chaos in stochastic simulations that are widely used to study biodiversity in nature. The investigation deals with a set of three distinct species that evolve according to the standard rules of mobility,…

Biological Physics · Physics 2017-03-28 D. Bazeia , M. B. P. N. Pereira , A. V. Brito , B. F. de Oliveira , J. G. G. S. Ramos

For objects in the low Earth orbit region, uncertainty in atmospheric density estimation is an important source of orbit prediction error, which is critical for space situational awareness activities such as the satellite conjunction…

Space Physics · Physics 2022-11-01 Smriti Nandan Paul , Richard J. Licata , Piyush M. Mehta

In this paper, we present an extension to an air traffic conflicts resolution method consisting in generating a large number of trajectories for a set of aircraft, and efficiently selecting the best compatible ones. We propose a…

Artificial Intelligence · Computer Science 2020-01-31 Thomas Chaboud , Cédric Pralet , Nicolas Schmidt

To find failure events and their likelihoods in flight-critical systems, we investigate the use of an advanced black-box stress testing approach called adaptive stress testing. We analyze a trajectory predictor from a developmental…

Machine Learning · Computer Science 2020-11-06 Robert J. Moss , Ritchie Lee , Nicholas Visser , Joachim Hochwarth , James G. Lopez , Mykel J. Kochenderfer

We consider elliptic diffusion problems with a random anisotropic diffusion coefficient, where, in a notable direction given by a random vector field, the diffusion strength differs from the diffusion strength perpendicular to this notable…

Numerical Analysis · Mathematics 2018-02-13 Helmut Harbrecht , Marc Schmidlin

Bayesian likelihood-free methods implement Bayesian inference using simulation of data from the model to substitute for intractable likelihood evaluations. Most likelihood-free inference methods replace the full data set with a summary…

Methodology · Statistics 2020-10-16 Yinan Mao , Xueou Wang , David J. Nott , Michael Evans

This paper introduces a trajectory planning algorithm for search and coverage missions with an Unmanned Aerial Vehicle (UAV) based on an uncertainty map that represents prior knowledge of the target region, modeled by a Gaussian Mixture…

Robotics · Computer Science 2025-03-28 Hugo Matias , Daniel Silvestre

In this paper, a polynomial chaos based framework for designing controllers for discrete time linear systems with probabilistic parameters is presented. Conditions for exponential-mean-square stability for such systems are derived and…

Optimization and Control · Mathematics 2020-04-06 Vaishnav Tadiparthi , Raktim Bhattacharya

Many methodologies have been proposed to quickly identify among a very large number of flight conditions and maneuvers (i.e., steady, quasi-steady and unsteady loads cases) the ones which give the worst values for structural sizing (e.g.,…

Computational Engineering, Finance, and Science · Computer Science 2018-11-16 Edouard Fournier , Stéphane Grihon , Christian Bes , Thierry Klein

A novel method to estimate unsteady aerodynamic force coefficients from pointwise velocity measurements is presented. The methodology is based on a resolvent-based reduced-order model which requires the mean flow to obtain physical flow…

Fluid Dynamics · Physics 2016-09-21 F. Gómez , A. S. Sharma , H. M. Blackburn

Physical models with uncertain inputs are commonly represented as parametric partial differential equations (PDEs). That is, PDEs with inputs that are expressed as functions of parameters with an associated probability distribution.…

Numerical Analysis · Mathematics 2023-05-15 Benjamin M. Kent , Catherine E. Powell , David J. Silvester , Małgorzata J. Zimoń

The detection and estimation of gravitational wave burst signals, with {\em a priori} unknown polarization waveforms, requires the use of data from a network of detectors. For determining how the data from such a network should be combined,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Soumya D. Mohanty , Malik Rakhmanov , Sergei Klimenko , Guenakh Mitselmakher

This paper analyzes the effects of input uncertainties on the outputs of a three dimensional natural convection problem in a differentially heated cubical enclosure. Two different cases are considered for parameter uncertainty propagation…

Numerical Analysis · Computer Science 2020-10-06 Shantanu Shahane , Narayana R. Aluru , Surya Pratap Vanka

Mobile robots in unknown cluttered environments with irregularly shaped obstacles often face energy and communication challenges which directly affect their ability to explore these environments. In this paper, we introduce a novel deep…

Robotics · Computer Science 2025-04-09 Aaron Hao Tan , Siddarth Narasimhan , Goldie Nejat

This paper studies optimal control problems of unknown linear systems subject to stochastic disturbances of uncertain distribution. Uncertainty about the stochastic disturbances is usually described via ambiguity sets of probability…

Systems and Control · Electrical Eng. & Systems 2023-06-30 Guanru Pan , Timm Faulwasser

Data scarcity is a primary obstacle in developing robust Machine Learning (ML) models for detecting rapidly intensifying tropical cyclones. Traditional data augmentation techniques (rotation, flipping, brightness adjustment) fail to…

Machine Learning · Computer Science 2026-03-10 Marawan Yakout , Tannistha Maiti , Monira Majhabeen , Tarry Singh

Quantifying uncertainty in weather forecasts is critical, especially for predicting extreme weather events. This is typically accomplished with ensemble prediction systems, which consist of many perturbed numerical weather simulations, or…

Machine Learning · Computer Science 2021-03-17 Peter Grönquist , Chengyuan Yao , Tal Ben-Nun , Nikoli Dryden , Peter Dueben , Shigang Li , Torsten Hoefler

Offshore wind power (OWP) exhibits significant fluctuations under typhoon conditions, posing substantial challenges to the secure operation of power systems. Accurate forecasting of OWP is therefore essential. However, the inherent scarcity…

Systems and Control · Electrical Eng. & Systems 2025-08-15 Jinhua He , Zechun Hu

Uncertainty-aware robot motion prediction is crucial for downstream traversability estimation and safe autonomous navigation in unstructured, off-road environments, where terrain is heterogeneous and perceptual uncertainty is high. Most…