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Multi-fidelity machine learning methods address the accuracy-efficiency trade-off by integrating scarce, resource-intensive high-fidelity data with abundant but less accurate low-fidelity data. We propose a practical multi-fidelity strategy…

Machine Learning · Computer Science 2025-03-26 Jiaxiang Yi , Ji Cheng , Miguel A. Bessa

Emulating high-accuracy computationally expensive models is crucial for tasks requiring numerous model evaluations, such as uncertainty quantification and optimization. When lower-fidelity models are available, they can be used to improve…

Methodology · Statistics 2024-10-30 Katerina Giannoukou , Stefano Marelli , Bruno Sudret

A vital stage in the mathematical modelling of real-world systems is to calibrate a model's parameters to observed data. Likelihood-free parameter inference methods, such as Approximate Bayesian Computation, build Monte Carlo samples of the…

Computation · Statistics 2021-12-23 Thomas P Prescott , Ruth E Baker

Accurate and robust trajectory predictions of road users are needed to enable safe automated driving. To do this, machine learning models are often used, which can show erratic behavior when presented with previously unseen inputs. In this…

Artificial Intelligence · Computer Science 2023-04-05 Manuel Muñoz Sánchez , Emilia Silvas , Jos Elfring , René van de Molengraft

Multimodal foundation models offer promising advancements for enhancing driving perception systems, but their high computational and financial costs pose challenges. We develop a method that leverages foundation models to refine predictions…

Computer Vision and Pattern Recognition · Computer Science 2024-10-03 Yunhao Yang , Yuxin Hu , Mao Ye , Zaiwei Zhang , Zhichao Lu , Yi Xu , Ufuk Topcu , Ben Snyder

Parameter tuning for vehicle controllers remains a costly and time-intensive challenge in automotive development. Traditional approaches rely on extensive real-world testing, making the process inefficient. We propose a multi-fidelity…

Systems and Control · Electrical Eng. & Systems 2025-06-11 Yongpeng Zhao , Maik Pfefferkorn , Maximilian Templer , Rolf Findeisen

With rapid adoption of deep learning in critical applications, the question of when and how much to trust these models often arises, which drives the need to quantify the inherent uncertainties. While identifying all sources that account…

Machine Learning · Statistics 2019-11-22 Jayaraman J. Thiagarajan , Bindya Venkatesh , Prasanna Sattigeri , Peer-Timo Bremer

Multi-fidelity models are becoming more prevalent in engineering, particularly in aerospace, as they combine both the computational efficiency of low-fidelity models with the high accuracy of higher-fidelity simulations. Various…

Computational Engineering, Finance, and Science · Computer Science 2024-07-09 Andrea Vaiuso , Gabriele Immordino , Marcello Righi , Andrea Da Ronch

Simulation-based falsification is a practical testing method to increase confidence that the system will meet safety requirements. Because full-fidelity simulations can be computationally demanding, we investigate the use of simulators with…

Systems and Control · Electrical Eng. & Systems 2023-05-02 Zahra Shahrooei , Mykel J. Kochenderfer , Ali Baheri

Trajectory prediction is an essential step in the pipeline of an autonomous vehicle. Inaccurate or inconsistent predictions regarding the movement of agents in its surroundings lead to poorly planned maneuvers and potentially dangerous…

Machine Learning · Computer Science 2025-07-04 Caio Azevedo , Lina Achaji , Stefano Sabatini , Nicola Poerio , Grzegorz Bartyzel , Sascha Hornauer , Fabien Moutarde

Modern automated driving solutions utilize trajectory planning and control components with numerous parameters that need to be tuned for different driving situations and vehicle types to achieve optimal performance. This paper proposes a…

Systems and Control · Electrical Eng. & Systems 2024-06-26 Hung-Ju Wu , Vladislav Nenchev , Christian Rathgeber

Motion trajectory planning is one crucial aspect for automated vehicles, as it governs the own future behavior in a dynamically changing environment. A good utilization of a vehicle's characteristics requires the consideration of the…

Optimization and Control · Mathematics 2018-07-31 Franz Gritschneder , Knut Graichen , Klaus Dietmayer

Multi-fidelity Kriging model is a promising technique in surrogate-based design as it can balance the model accuracy and cost of sample preparation by fusing low- and high-fidelity data. However, the cost for building a multi-fidelity…

Machine Learning · Computer Science 2023-01-03 Youwei He , Jinliang Luo

This paper aims to provide a practical example on the assessment and propagation of input uncertainty for option pricing when using tree-based methods. Input uncertainty is propagated into output uncertainty, reflecting that option prices…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Henryk Gzyl , German Molina , Enrique ter Horst

Explicit quantification of uncertainty in engineering simulations is being increasingly used to inform robust and reliable design practices. In the aerospace industry, computationally-feasible analyses for design optimization purposes often…

Fluid Dynamics · Physics 2019-11-13 Jayant Mukhopadhaya , Brian T. Whitehead , John F. Quindlen , Juan J. Alonso

To improve the predictive capacity of system models in the input-output sense, this paper presents a framework for model updating via learning of modeling uncertainties in locally (and thus also in globally) Lipschitz nonlinear systems.…

Systems and Control · Electrical Eng. & Systems 2024-06-11 Farhad Ghanipoor , Carlos Murguia , Peyman Mohajerin Esfahani , Nathan van de Wouw

The closed-loop performance of model predictive controllers (MPCs) is sensitive to the choice of prediction models, controller formulation, and tuning parameters. However, prediction models are typically optimized for prediction accuracy…

Systems and Control · Electrical Eng. & Systems 2020-11-25 Farshud Sorourifar , Georgios Makrygirgos , Ali Mesbah , Joel A. Paulson

We propose a novel approach to allocating resources for expensive simulations of high fidelity models when used in a multifidelity framework. Allocation decisions that distribute computational resources across several simulation models…

Numerical Analysis · Mathematics 2019-01-01 Daniel J. Perry , Robert M. Kirby , Akil Narayan , Ross T. Whitaker

Multi-fidelity Gaussian process is a common approach to address the extensive computationally demanding algorithms such as optimization, calibration and uncertainty quantification. Adaptive sampling for multi-fidelity Gaussian process is a…

Machine Learning · Statistics 2019-07-30 Sayan Ghosh , Jesper Kristensen , Yiming Zhang , Waad Subber , Liping Wang

Parameter inference and uncertainty quantification are important steps when relating mathematical models to real-world observations, and when estimating uncertainty in model predictions. However, methods for doing this can be…

Quantitative Methods · Quantitative Biology 2025-08-27 Michael J. Plank , Matthew J. Simpson