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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

Online trajectory optimization and optimal control methods are crucial for enabling sustainable unmanned aerial vehicle (UAV) services, such as agriculture, environmental monitoring, and transportation, where available actuation and energy…

Optimization and Control · Mathematics 2025-06-17 Derek Fan , David A. Copp

Estimating uncertainty of machine learning models is essential to assess the quality of the predictions that these models provide. However, there are several factors that influence the quality of uncertainty estimates, one of which is the…

Machine Learning · Computer Science 2022-11-03 Yuko Kato , David M. J. Tax , Marco Loog

Application autotuning is a promising path investigated in literature to improve computation efficiency. In this context, the end-users define high-level requirements and an autonomic manager is able to identify and seize optimization…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-21 Tomas Martinovic , Davide Gadioli , Gianluca Palermo , Cristina Silvano

Simulation of the crack network evolution on high strain rate impact experiments performed in brittle materials is very compute-intensive. The cost increases even more if multiple simulations are needed to account for the randomness in…

The work focuses on gathering high-fidelity and low-fidelity numerical simulations data using Nektar++ (Solver based on Applied Mathematics) and XFOIL respectively. The utilization of the higher polynomial distribution in calculating the…

Machine Learning · Computer Science 2025-03-12 Swapnil Kumar

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

Due to their high degree of expressiveness, neural networks have recently been used as surrogate models for mapping inputs of an engineering system to outputs of interest. Once trained, neural networks are computationally inexpensive to…

Machine Learning · Statistics 2020-02-12 Subhayan De , Jolene Britton , Matthew Reynolds , Ryan Skinner , Kenneth Jansen , Alireza Doostan

Handling missing data is a central challenge in data-driven analysis. Modern imputation methods not only aim for accurate reconstruction but also differ in how they represent and quantify uncertainty. Yet, the reliability and calibration of…

Databases · Computer Science 2025-11-27 Zarin Tahia Hossain , Mostafa Milani

Multi-fidelity methods are prominently used when cheaply-obtained, but possibly biased and noisy, observations must be effectively combined with limited or expensive true data in order to construct reliable models. This arises in both…

Machine Learning · Statistics 2019-03-19 Kurt Cutajar , Mark Pullin , Andreas Damianou , Neil Lawrence , Javier González

Obtaining reliable and accurate quantification of uncertainty estimates from deep neural networks is important in safety-critical applications. A well-calibrated model should be accurate when it is certain about its prediction and indicate…

Machine Learning · Computer Science 2020-12-16 Ranganath Krishnan , Omesh Tickoo

Bayesian optimization is popular for optimizing time-consuming black-box objectives. Nonetheless, for hyperparameter tuning in deep neural networks, the time required to evaluate the validation error for even a few hyperparameter settings…

Machine Learning · Computer Science 2019-03-13 Jian Wu , Saul Toscano-Palmerin , Peter I. Frazier , Andrew Gordon Wilson

Multi-fidelity Reinforcement Learning (RL) frameworks efficiently utilize computational resources by integrating analysis models of varying accuracy and costs. The prevailing methodologies, characterized by transfer learning, human-inspired…

Machine Learning · Computer Science 2025-03-25 Akash Agrawal , Christopher McComb

Estimating the probability of failure for complex real-world systems using high-fidelity computational models is often prohibitively expensive, especially when the probability is small. Exploiting low-fidelity models can make this process…

ML models have errors when used for predictions. The errors are unknown but can be quantified by model uncertainty. When multiple ML models are trained using the same training points, their model uncertainties may be statistically…

Machine Learning · Statistics 2025-09-23 Xiaoping Du

Hyper-differential sensitivity analysis with respect to model discrepancy was recently developed to enable uncertainty quantification for optimization problems. The approach consists of two primary steps: (i) Bayesian calibration of the…

Numerical Analysis · Mathematics 2025-10-09 Joseph Hart , Bart van Bloemen Waanders , Jixian Li , Timbwaoga A. J. Ouermi , Chris R. Johnson

Deep Learning is a consolidated, state-of-the-art Machine Learning tool to fit a function when provided with large data sets of examples. However, in regression tasks, the straightforward application of Deep Learning models provides a point…

Machine Learning · Computer Science 2018-07-25 Axel Brando , Jose A. Rodríguez-Serrano , Mauricio Ciprian , Roberto Maestre , Jordi Vitrià

The paper combines research approaches that traditionally have been disjoint: 1) model checking as used in formal verification of programs, and 2) auto-tuning as often used in high-performance computing. Auto-tuning frameworks optimize…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-17 Natalia Garanina , Sergey Staroletov , Sergei Gorlatch

Accelerating Machine Learning (ML) workloads requires efficient methods due to their large optimization space. Autotuning has emerged as an effective approach for systematically evaluating variations of implementations. Traditionally,…

Hardware Architecture · Computer Science 2026-01-30 Rebecca Pelke , Nils Bosbach , Lennart M. Reimann , Rainer Leupers

We present a numerical method for convergence acceleration for multifidelity models of parameterized ordinary differential equations. The hierarchy of models is defined as trajectories computed using different timesteps in a time…

Numerical Analysis · Mathematics 2018-08-13 Vahid Keshavarzzadeh , Robert M. Kirby , Akil Narayan