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A structure preserving proper orthogonal decomposition reduce-order modeling approach has been developed in [Gong et al. 2017] for the Hamiltonian system, which uses the traditional framework of Galerkin projection-based model reduction but…

Numerical Analysis · Mathematics 2021-03-03 Zhu Wang

A surrogate-based topology optimisation algorithm for linear elastic structures under parametric loads and boundary conditions is proposed. Instead of learning the parametric solution of the state (and adjoint) problems or the optimisation…

Numerical Analysis · Mathematics 2025-11-04 Matteo Giacomini , Antonio Huerta

This work presents a scalable control framework based on nonlinear Model Predictive Control for high-dimensional dynamical systems. The proposed approach addresses the key challenges of model scalability and partial observability by…

Simulation of vehicle motion in planetary environments is challenging. This is due to the modeling of complex terrain, optical conditions, and terrain-aware vehicle dynamics. One of the critical issues of typical simulators is that they…

We propose a new method for autonomous navigation in uneven terrains by utilizing a sparse Gaussian Process (SGP) based local perception model. The SGP local perception model is trained on local ranging observation (pointcloud) to learn the…

Robotics · Computer Science 2024-02-22 Hassan Jardali , Mahmoud Ali , Lantao Liu

Reliable off-road autonomy requires operational constraints so that behavior stays predictable and safe when soil strength is uncertain. This paper presents a runtime assurance safety monitor that collaborates with any planner and uses a…

Systems and Control · Electrical Eng. & Systems 2025-10-27 Akshay Naik , Ramavarapu S. Sreenivas , William R. Norris , Albert E. Patterson , Ahmet Soylemezoglu , Dustin Nottage

Reduced Order Models (ROMs) form essential tools across engineering domains by virtue of their function as surrogates for computationally intensive digital twinning simulators. Although purely data-driven methods are available for ROM…

Computational Engineering, Finance, and Science · Computer Science 2025-04-14 Konstantinos Vlachas , Thomas Simpson , Anthony Garland , D. Dane Quinn , Charbel Farhat , Eleni Chatzi

We derive novel deterministic bounds on the approximation error of data-based bilinear surrogate models for unknown nonlinear systems. The surrogate models are constructed using kernel-based extended dynamic mode decomposition to…

Systems and Control · Electrical Eng. & Systems 2025-07-24 Robin Strässer , Manuel Schaller , Julian Berberich , Karl Worthmann , Frank Allgöwer

The reconstruction of the dynamics of an observed physical system as a surrogate model has been brought to the fore by recent advances in machine learning. To deal with partial and noisy observations in that endeavor, machine learning…

Machine Learning · Statistics 2020-10-06 Marc Bocquet , Alban Farchi , Quentin Malartic

Structure from motion (SFM) and ground plane homography estimation are critical to autonomous driving and other robotics applications. Recently, much progress has been made in using deep neural networks for SFM and homography estimation…

Computer Vision and Pattern Recognition · Computer Science 2021-12-17 Wei Sui , Teng Chen , Jiaxin Zhang , Jiao Lu , Qian Zhang

We propose a model order reduction approach to speed up the computation of seismograms, i.e. the solution of the seismic wave equation evaluated at a receiver location, for different model parameters. Our approach achieves a reduction of…

Numerical Analysis · Mathematics 2024-06-12 Rhys Hawkins , Muhammad Hamza Khalid , Matthias Schlottbom , Kathrin Smetana

This paper studies the distributed state estimation problem for a class of discrete-time stochastic systems with nonlinear uncertain dynamics over time-varying topologies of sensor networks. An extended state vector consisting of the…

Systems and Control · Computer Science 2018-09-12 Xingkang He , Xiaocheng Zhang , Wenchao Xue , Haitao Fang

Terrain awareness, i.e., the ability to identify and distinguish different types of terrain, is a critical ability that robots must have to succeed at autonomous off-road navigation. Current approaches that provide robots with this…

Robotics · Computer Science 2023-10-23 Haresh Karnan , Elvin Yang , Daniel Farkash , Garrett Warnell , Joydeep Biswas , Peter Stone

Reduced-order models (ROMs) are very popular for surrogate modeling of full-order computational fluid dynamics (CFD) simulations, allowing for real-time approximation of complex flow phenomena. However, their application to CFD models…

Fluid Dynamics · Physics 2025-11-25 Rakesh Halder , Benet Eiximeno , Oriol Lehmkuhl

Navigating off-road with a fast autonomous vehicle depends on a robust perception system that differentiates traversable from non-traversable terrain. Typically, this depends on a semantic understanding which is based on supervised learning…

Recent studies have demonstrated that it is possible to combine machine learning with data assimilation to reconstruct the dynamics of a physical model partially and imperfectly observed. Data assimilation is used to estimate the system…

Machine Learning · Statistics 2022-10-26 Alban Farchi , Marcin Chrust , Marc Bocquet , Patrick Laloyaux , Massimo Bonavita

Reduced order models (ROMs) are widely used in scientific computing to tackle high-dimensional systems. However, traditional ROM methods may only partially capture the intrinsic geometric characteristics of the data. These characteristics…

Numerical Analysis · Mathematics 2025-01-13 Moaad Khamlich , Federico Pichi , Gianluigi Rozza

Autonomous driving has traditionally relied heavily on costly and labor-intensive High Definition (HD) maps, hindering scalability. In contrast, Standard Definition (SD) maps are more affordable and have worldwide coverage, offering a…

Computer Vision and Pattern Recognition · Computer Science 2023-11-08 Katie Z Luo , Xinshuo Weng , Yan Wang , Shuang Wu , Jie Li , Kilian Q Weinberger , Yue Wang , Marco Pavone

Online map generation and trajectory prediction are critical components of the autonomous driving perception-prediction-planning pipeline. While modern vectorized mapping models achieve high geometric accuracy, they typically treat map…

Robotics · Computer Science 2026-03-23 Pritom Gogoi , Faris Janjoš , Bin Yang , Andreas Look

An adaptive approach to using reduced-order models as surrogates in PDE-constrained optimization is introduced that breaks the traditional offline-online framework of model order reduction. A sequence of optimization problems constrained by…

Optimization and Control · Mathematics 2014-07-30 Matthew J. Zahr , Charbel Farhat
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