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Multi-fidelity methods combine inexpensive low-fidelity simulations with costly but highfidelity simulations to produce an accurate model of a system of interest at minimal cost. They have proven useful in modeling physical systems and have…

Artificial Intelligence · Computer Science 2014-08-12 Erik J. Schlicht , Ritchie Lee , David H. Wolpert , Mykel J. Kochenderfer , Brendan Tracey

Multi-fidelity methods combine inexpensive low-fidelity simulations with costly but high-fidelity simulations to produce an accurate model of a system of interest at minimal cost. They have proven useful in modeling physical systems and…

Artificial Intelligence · Computer Science 2012-06-27 Erik J. Schlicht , Ritchie Lee , David H. Wolpert , Mykel J. Kochenderfer , Brendan Tracey

In many situations across computational science and engineering, multiple computational models are available that describe a system of interest. These different models have varying evaluation costs and varying fidelities. Typically, a…

Numerical Analysis · Mathematics 2018-06-29 Benjamin Peherstorfer , Karen Willcox , Max Gunzburger

In system analysis and design optimization, multiple computational models are typically available to represent a given physical system. These models can be broadly classified as high-fidelity models, which provide highly accurate…

Machine Learning · Computer Science 2024-11-01 Ruda Zhang , Negin Alemazkoor

Multifidelity uncertainty propagation combines the efficiency of low-fidelity models with the accuracy of a high-fidelity model to construct statistical estimators of quantities of interest. It is well known that the effectiveness of such…

Computation · Statistics 2026-01-06 James E. Warner , Geoffrey F. Bomarito , Gianluca Geraci , Michael S. Eldred

Estimating probability of failure in aerospace systems is a critical requirement for flight certification and qualification. Failure probability estimation involves resolving tails of probability distribution, and Monte Carlo sampling…

Numerical Analysis · Mathematics 2022-09-22 S. Ashwin Renganathan , Vishwas Rao , Ionel M. Navon

Sampling-based approaches are widely used in systems without analytic models to estimate risk or find optimal control. However, gathering sufficient data in such scenarios can be prohibitively costly. On the other hand, in many situations,…

Systems and Control · Electrical Eng. & Systems 2026-02-16 Zhuoyuan Wang , Takashi Tanaka , Yongxin Chen , Yorie Nakahira

Testing and evaluation are expensive but critical steps in the development of connected and automated vehicles (CAVs). In this paper, we develop an adaptive sampling framework to efficiently evaluate the accident rate of CAVs, particularly…

Robotics · Computer Science 2023-06-02 Xianliang Gong , Shuo Feng , Yulin Pan

Across many domains of science, stochastic models are an essential tool to understand the mechanisms underlying empirically observed data. Models can be of different levels of detail and accuracy, with models of high-fidelity (i.e., high…

Autonomous systems, like vehicles or robots, require reliable, accurate, fast, resource-efficient, scalable, and low-latency trajectory predictions to get initial knowledge about future locations and movements of surrounding objects for…

Computer Vision and Pattern Recognition · Computer Science 2024-10-11 Manuel Hetzel , Hannes Reichert , Konrad Doll , Bernhard Sick

In a multifidelity setting, data are available under the same conditions from two (or more) sources, e.g. computer codes, one being lower-fidelity but computationally cheaper, and the other higher-fidelity and more expensive. This work…

Methodology · Statistics 2024-09-25 Minji Kim , Kevin O'Connor , Vladas Pipiras , Themistoklis Sapsis

The study of complex systems is often based on computationally intensive, high-fidelity, simulations. To build confidence in the prediction accuracy of such simulations, the impact of uncertainties in model inputs on the quantities of…

Computational Physics · Physics 2018-01-19 Lluis Jofre , Gianluca Geraci , Hillary Fairbanks , Alireza Doostan , Gianluca Iaccarino

The estimation of the amount of uncertainty featured by predictive machine learning models has acquired a great momentum in recent years. Uncertainty estimation provides the user with augmented information about the model's confidence in…

Machine Learning · Computer Science 2022-10-31 Ibai Laña , Ignacio , Olabarrieta , Javier Del Ser

Automated Driving Systems (ADSs) have seen rapid progress in recent years. To ensure the safety and reliability of these systems, extensive testings are being conducted before their future mass deployment. Testing the system on the road is…

Software Engineering · Computer Science 2021-12-03 Ziyuan Zhong , Yun Tang , Yuan Zhou , Vania de Oliveira Neves , Yang Liu , Baishakhi Ray

A multi-fidelity simulator is a numerical model, in which one of the inputs controls a trade-off between the realism and the computational cost of the simulation. Our goal is to estimate the probability of exceeding a given threshold on a…

Methodology · Statistics 2021-03-31 Rémi Stroh , Julien Bect , Séverine Demeyer , Nicolas Fischer , Emmanuel Vazquez

Safety validation is a crucial component in the development and deployment of autonomous systems, such as self-driving vehicles and robotic systems. Ensuring safe operation necessitates extensive testing and verification of control…

Systems and Control · Electrical Eng. & Systems 2023-05-11 Ali Baheri , Mykel J. Kochenderfer

We present a novel method for testing the safety of self-driving vehicles in simulation. We propose an alternative to sensor simulation, as sensor simulation is expensive and has large domain gaps. Instead, we directly simulate the outputs…

Computer Vision and Pattern Recognition · Computer Science 2020-08-14 Kelvin Wong , Qiang Zhang , Ming Liang , Bin Yang , Renjie Liao , Abbas Sadat , Raquel Urtasun

Safety is a central requirement for automated vehicles. As such, the assessment of risk in automated driving is key in supporting both motion planning technologies and safety evaluation. In automated driving, risk is characterized by two…

Robotics · Computer Science 2026-01-22 Leon Tolksdorf , Arturo Tejada , Jonas Bauernfeind , Christian Birkner , Nathan van de Wouw

Discovering potential failures of an autonomous system is important prior to deployment. Falsification-based methods are often used to assess the safety of such systems, but the cost of running many accurate simulation can be high. The…

Robotics · Computer Science 2023-10-03 Marc R. Schlichting , Nina V. Boord , Anthony L. Corso , Mykel J. Kochenderfer

Surrogate modeling for systems with high-dimensional quantities of interest remains challenging, particularly when training data are costly to acquire. This work develops multifidelity methods for multiple-input multiple-output linear…

Machine Learning · Statistics 2026-03-31 Vignesh Sella , Julie Pham , Karen Willcox , Anirban Chaudhuri
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