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This paper proposes a novel approach to map-based navigation system for unmanned aircraft. The proposed system attempts label-to-label matching, not image-to-image matching, between aerial images and a map database. The ground objects can…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Youngjoo Kim

Rapid prediction of the aeroacoustic response is a key component in the design of aircraft and turbomachinery. While it is possible to achieve accurate predictions using direct solution of the compressible Navier-Stokes equations,…

Fluid Dynamics · Physics 2023-05-31 Elnaz Rezaian , Karthik Duraisamy

Traditional reduced order modeling techniques such as the reduced basis (RB) method (relying, e.g., on proper orthogonal decomposition (POD)) suffer from severe limitations when dealing with nonlinear time-dependent parametrized PDEs,…

Numerical Analysis · Mathematics 2020-01-14 Stefania Fresca , Luca Dede , Andrea Manzoni

Projection-based reduced-order models (PROMs) have demonstrated accuracy, reliability, and robustness in approximating high-dimensional, differential equation-based computational models across many applications. For this reason, it has been…

Numerical Analysis · Mathematics 2025-05-05 Calista Biondic , Siva Nadarajah

Optimization problems arise in a range of scenarios, from optimal control to model parameter estimation. In many applications, such as the development of digital twins, it is essential to solve these optimization problems within…

Optimization and Control · Mathematics 2025-09-01 Joseph Hart , Shane A. McQuarrie , Zachary Morrow , Bart van Bloemen Waanders

The emergence of a global market for urban air mobility and unmanned aerial systems has attracted many startups across the world. These organizations have little training or experience in the traditional processes used in civil aviation for…

High-speed flight vehicles, which travel much faster than the speed of sound, are crucial for national defense and space exploration. However, accurately predicting their behavior under numerous, varied flight conditions is a challenge and…

Machine Learning · Computer Science 2024-11-07 Tyler E. Korenyi-Both , Nathan J. Falkiewicz , Matthew C. Jones

The RTS smoother is widely used for state estimation and it is utilized here to increase the data quality with respect to physical coherence and to increase resolution. The purpose of this paper is to enhance the performance of the RTS…

Applications · Statistics 2022-06-22 Lukas Höhndorf , Thomas Nagler , Phillip Koppitz , Claudia Czado , Florian Holzapfel

A nonintrusive model order reduction method for bilinear stochastic differential equations with additive noise is proposed. A reduced order model (ROM) is designed in order to approximate the statistical properties of high-dimensional…

Numerical Analysis · Mathematics 2025-06-11 M. A. Freitag , J. M. Nicolaus , M. Redmann

Obstacle avoidance is a fundamental vision-based task essential for enabling quadrotors to perform advanced applications. When planning the trajectory, existing approaches both on optimization and learning typically regard quadrotor as a…

Robotics · Computer Science 2026-04-17 Fanxing Li , Shengyang Wang , Yuxiang Huang , Fangyu Sun , Shuyu Wu , Yufei Yan , Danping Zou , Wenxian Yu

Identifying phases of flight is important in the field of general aviation, as knowing which phase of flight data is collected from aircraft flight data recorders can aid in the more effective detection of safety or hazardous events.…

Machine Learning · Computer Science 2024-02-20 Zimeng Lyu , Pujan Thapa , Travis Desell

A general method for accelerating fixed point schemes for problems related to partial differential equations is presented in this article. The speedup is obtained by training a reduced-order model on-the-fly, removing the need to do an…

Numerical Analysis · Mathematics 2025-12-01 Philippe-André Luneau , Jean Deteix

In this work we study the problem of Subspace Tracking with missing data (ST-miss) and outliers (Robust ST-miss). We propose a novel algorithm, and provide a guarantee for both these problems. Unlike past work on this topic, the current…

Machine Learning · Computer Science 2022-07-01 Praneeth Narayanamurthy , Namrata Vaswani , Aditya Ramamoorthy

This paper addresses the lack of a general methodology for the controller synthesis of an optical instrument on-board a stratospheric balloon-borne platform, such as a telescope or siderostat, to meet pointing requirements that are becoming…

Systems and Control · Electrical Eng. & Systems 2025-11-20 Ervan Kassarian , Francesco Sanfedino , Daniel Alazard , Johan Montel , Charles-Antoine Chevrier

We address the design of a model predictive control (MPC) scheme for large-scale linear systems using reduced-order models (ROMs). Our approach uses a ROM, leverages tools from robust control, and integrates them into an MPC framework to…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Johannes Köhler , Carlo Scholz , Melanie Zeilinger

A data-driven framework using snapshots of an uncontrolled flow is proposed to identify, and subsequently demonstrate, effective control strategies for different objectives in supersonic impinging jets. The approach, based on a dynamic mode…

Fluid Dynamics · Physics 2023-09-12 Spencer L. Stahl , Datta V. Gaitonde

Real-world systems are often characterized by high-dimensional nonlinear dynamics, making them challenging to control in real time. While reduced-order models (ROMs) are frequently employed in model-based control schemes, dimensionality…

Systems and Control · Electrical Eng. & Systems 2023-09-13 John Irvin Alora , Luis A. Pabon , Johannes Köhler , Mattia Cenedese , Ed Schmerling , Melanie N. Zeilinger , George Haller , Marco Pavone

Aircraft design optimization traditionally relies on computationally expensive simulation techniques such as Finite Element Method (FEM) and Finite Volume Method (FVM), which, while accurate, can significantly slow down the design iteration…

Machine Learning · Computer Science 2026-03-03 Apurba Sarker

In this paper, we present a methodology for constructing data-driven maneuver generation models for agile aircraft that can generalize across a wide range of trim conditions and aircraft model parameters. Maneuver generation models play a…

Artificial Intelligence · Computer Science 2024-01-18 Gulay Goktas Sever , Umut Demir , Abdullah Sadik Satir , Mustafa Cagatay Sahin , Nazim Kemal Ure

In this article, we study a calibrated version of Reifenberg theorem "with holes". In particular we study sets that are suitably approximable at all points and scales by calibrated planes and show that, without any additional hypotheses on…

Analysis of PDEs · Mathematics 2025-09-10 Susanna Bertolini , Alessandro Preti , Daniele Valtorta