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This paper presents a prediction algorithm that estimates the vehicle trajectory every five milliseconds for an autonomous vehicle. A kinematic and a dynamic bicycle model are compared, with the dynamic model exhibiting superior accuracy at…

Robotics · Computer Science 2025-08-19 Marco Leon Rapp

The numerical treatment of fluid-particle systems is a very challenging problem because of the complex coupling phenomena occurring between the two phases. Although accurate mathematical modelling is available to address this kind of…

Numerical Analysis · Mathematics 2024-03-22 Arash Hajisharifi , Rahul Halder , Michele Girfoglio , Andrea Beccari , Domenico Bonanni , Gianluigi Rozza

The complex and computationally expensive nature of landscape evolution models pose significant challenges in the inference and optimisation of unknown parameters. Bayesian inference provides a methodology for estimation and uncertainty…

Machine Learning · Statistics 2020-06-30 Rohitash Chandra , Danial Azam , Arpit Kapoor , R. Dietmar Müller

Data-driven surrogate models are widely used for applications such as design optimization and uncertainty quantification, where repeated evaluations of an expensive simulator are required. For most partial differential equation (PDE)…

Computational Physics · Physics 2019-10-18 Wei Xing , Robert M. Kirby , Shandian Zhe

Navigating densely vegetated environments poses significant challenges for autonomous ground vehicles. Learning-based systems typically use prior and in-situ data to predict terrain traversability but often degrade in performance when…

Robotics · Computer Science 2025-02-05 Fabio A. Ruetz , Nicholas Lawrance , Emili Hernández , Paulo V. K. Borges , Thierry Peynot

The accuracy of the reduced-order model (ROM) mainly depends on the selected basis. Therefore, it is essential to compute an appropriate basis with an efficient numerical procedure when applying ROM to nonlinear problems. In this paper, we…

Numerical Analysis · Mathematics 2021-05-05 Jun-Geol Ahn , Hyun-Ik Yang , Jin-Gyun Kim

State estimation is the task of approximately reconstructing a solution $u$ of a parametric partial differential equation when the parameter vector $y$ is unknown and the only information is $m$ linear measurements of $u$. In [Cohen et.…

Numerical Analysis · Mathematics 2021-03-09 James A. Nichols

Systematic exploration of Agent-Based Models (ABMs) is challenged by the curse of dimensionality and their inherent stochasticity. We present a multi-stage pipeline integrating the systematic design of experiments with machine learning…

Machine Learning · Computer Science 2026-04-07 Paul Saves , Matthieu Mastio , Nicolas Verstaevel , Benoit Gaudou

A novel probabilistic approach for the design of mechanical structures with friction interfaces is proposed. The objective function is defined as the probability that a specified performance measure of the forced vibration response is…

Computational Engineering, Finance, and Science · Computer Science 2021-01-01 Malte Krack , Sebastian Tatzko , Lars Panning-von Scheidt , Jörg Wallaschek

Traffic simulation models have long been popular in modern traffic planning and operation applications. Efficient calibration of simulation models is usually a crucial step in a simulation study. However, traditional calibration procedures…

Optimization and Control · Mathematics 2025-01-22 Ran Sun , Zihao Wang , Xingmin Wang , Henry X. Liu

High-fidelity models are essential for accurately capturing nonlinear system dynamics. However, simulation of these models is often computationally too expensive and, due to their complexity, they are not directly suitable for analysis,…

Systems and Control · Electrical Eng. & Systems 2025-09-05 E. Javier Olucha , Rajiv Singh , Amritam Das , Roland Tóth

Advanced driver assistance systems are critically dependent on reliable and accurate information regarding a vehicles' driving state. For estimation of unknown quantities, model-based and learning-based methods exist, but both suffer from…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Jan-Hendrik Ewering , Zygimantas Ziaukas , Simon F. G. Ehlers , Thomas Seel

A novel multiphysics-decision tree learning algorithm is presented for (1) estimating transport properties in the variably saturated subsurface governed by explicitly coupled equations for water, heat, and solute transport; and (2)…

Geophysics · Physics 2023-12-19 Michael J Friedel , Massimo Buscema

Aiming to enhance the consistency and thus long-term accuracy of Extended Kalman Filters for terrestrial vehicle localization, this paper introduces the Manifold Error State Extended Kalman Filter (M-ESEKF). By representing the robot's pose…

Crash simulations play an essential role in improving vehicle safety, design optimization, and injury risk estimation. Unfortunately, numerical solutions of such problems using state-of-the-art high-fidelity models require significant…

Machine Learning · Computer Science 2024-02-16 Jonas Kneifl , Jörg Fehr , Steven L. Brunton , J. Nathan Kutz

The effective contact area in rough surface contact plays a critical role in multi-physics phenomena such as wear, sealing, and thermal or electrical conduction. Although accurate numerical methods, like the Boundary Element Method (BEM),…

Computational Engineering, Finance, and Science · Computer Science 2025-04-25 Tarik Sahin , Jacopo Bonari , Sebastian Brandstaeter , Alexander Popp

In this paper, we present SROM, a novel real-time Simultaneous Localization and Mapping (SLAM) system for autonomous vehicles. The keynote of the paper showcases SROM's ability to maintain localization at low sampling rates or at high…

This work presents an interpretable parametric surrogate model motivated by the need to identify a hydrodynamic model for resolving the trajectory of an object in real-time. The surrogate is formulated as a reduced-order model for a…

Surrogate models provide compact relations between user-defined input parameters and output quantities of interest, enabling the efficient evaluation of complex parametric systems in many-query settings. Such capabilities are essential in a…

Numerical Analysis · Mathematics 2026-03-16 Matteo Giacomini , Pedro Díez

Supervised Machine Learning (SML) algorithms, such as Gradient Boosting, Random Forest, and Neural Networks, have become popular in recent years due to their superior predictive performance over traditional statistical methods. However,…

Machine Learning · Statistics 2020-07-30 Linwei Hu , Jie Chen , Vijayan N. Nair , Agus Sudjianto
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