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Simulating the mechanical response of advanced materials can be done more accurately using concurrent multiscale models than with single-scale simulations. However, the computational costs stand in the way of the practical application of…

Machine Learning · Computer Science 2024-02-21 J. Storm , I. B. C. M. Rocha , F. P. van der Meer

Neural networks have become very popular in surrogate modeling because of their ability to characterize arbitrary, high dimensional functions in a data driven fashion. This paper advocates for the training of surrogates that are consistent…

Machine Learning · Computer Science 2022-06-08 Rushil Anirudh , Jayaraman J. Thiagarajan , Peer-Timo Bremer , Brian K. Spears

Magnetic Resonance Fingerprinting (MRF) is a time-efficient approach to quantitative MRI, enabling the mapping of multiple tissue properties from a single, accelerated scan. However, achieving accurate reconstructions remains challenging,…

Image and Video Processing · Electrical Eng. & Systems 2024-12-19 Perla Mayo , Carolin M. Pirkl , Alin Achim , Bjoern H. Menze , Mohammad Golbabaee

We present a framework for automatically structuring and training fast, approximate, deep neural surrogates of stochastic simulators. Unlike traditional approaches to surrogate modeling, our surrogates retain the interpretable structure and…

Aerodynamic shape optimization in industry still faces challenges related to robustness and scalability. This aspect becomes crucial for advanced optimizations that rely on expensive high-fidelity flow solvers, where computational budget…

Fluid Dynamics · Physics 2025-05-26 Marc Schouler , Anca Belme , Paola Cinnella

This paper presents a methodological framework for training, self-optimising, and self-organising surrogate models to approximate and speed up multiobjective optimisation of technical systems based on multiphysics simulations. At the hand…

Machine Learning · Computer Science 2024-04-04 Diego Botache , Jens Decke , Winfried Ripken , Abhinay Dornipati , Franz Götz-Hahn , Mohamed Ayeb , Bernhard Sick

We present a study of surrogate losses and algorithms for the general problem of learning to defer with multiple experts. We first introduce a new family of surrogate losses specifically tailored for the multiple-expert setting, where the…

Machine Learning · Computer Science 2024-04-02 Anqi Mao , Mehryar Mohri , Yutao Zhong

Neural Radiance Fields (NeRFs) are a powerful representation for modeling a 3D scene as a continuous function. Though NeRF is able to render complex 3D scenes with view-dependent effects, few efforts have been devoted to exploring its…

Computer Vision and Pattern Recognition · Computer Science 2022-11-18 Yifan Jiang , Peter Hedman , Ben Mildenhall , Dejia Xu , Jonathan T. Barron , Zhangyang Wang , Tianfan Xue

Fast machine learning-based surrogate models are trained to emulate slow, high-fidelity engineering simulation models to accelerate engineering design tasks. This introduces uncertainty as the surrogate is only an approximation of the…

Machine Learning · Statistics 2020-10-08 Paul Westermann , Ralph Evins

The quantification of uncertainty on fluid flow in porous media is often hampered by multi-scale heterogeneity and insufficient site characterization. Monte-Carlo simulation (MCS), which runs numerical simulations for a large number of…

Machine Learning · Computer Science 2020-10-16 Hyung Jun Yang , Timothy Yeo , Jaewoo An

Multiscale problems are widely observed across diverse domains in physics and engineering. Translating these problems into numerical simulations and solving them using numerical schemes, e.g. the finite element method, is costly due to the…

Patterned-transducer thermoreflectance enhances sensitivity to low-thermal-conductivity materials by suppressing lateral heat spreading in the metal transducer, but its wider use is limited by the cost of repeated high-fidelity forward…

Applied Physics · Physics 2026-04-24 Bingjia Xiao , Tao Chen , Puqing Jiang

We present a flexible trust region descend algorithm for unconstrained and convexly constrained multiobjective optimization problems. It is targeted at heterogeneous and expensive problems, i.e., problems that have at least one objective…

Optimization and Control · Mathematics 2021-05-27 Manuel Berkemeier , Sebastian Peitz

Falsification of hybrid dynamical systems remains challenging due to mode-dependent dynamics and discrete transitions. In this work, we propose a surrogate-based falsification approach that enables hybrid systems by learning a…

Systems and Control · Electrical Eng. & Systems 2026-05-11 Lasse Kötz , Knut Åkesson

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

Monte Carlo simulation is often used for the reliability assessment of power systems, but it converges slowly when the system is complex. Multilevel Monte Carlo (MLMC) can be applied to speed up computation without compromises on model…

Computation · Statistics 2022-07-12 Ensieh Sharifnia , Simon Tindemans

The increasing use of stochastic models for describing complex phenomena warrants surrogate models that capture the reference model characteristics at a fraction of the computational cost, foregoing potentially expensive Monte Carlo…

Machine Learning · Computer Science 2024-06-10 Neil Kichler , Sher Afghan , Uwe Naumann

Outer loop tasks such as optimization, uncertainty quantification or inference can easily become intractable when the underlying high-fidelity model is computationally expensive. Similarly, data-driven architectures typically require large…

Machine Learning · Computer Science 2025-12-03 Cristian J. Villatoro , Gianluca Geraci , Daniele E. Schiavazzi

Markov Chain Monte Carlo (MCMC) methods often take many iterations to converge for highly correlated or high-dimensional target density functions. Methods such as Hamiltonian Monte Carlo (HMC) or No-U-Turn Sampling (NUTS) use the…

Numerical Analysis · Mathematics 2024-08-08 Kislaya Ravi , Tobias Neckel , Hans-Joachim Bungartz

Magnetic Resonance Fingerprinting (MRF) has emerged as a promising quantitative MR imaging approach. Deep learning methods have been proposed for MRF and demonstrated improved performance over classical compressed sensing algorithms.…

Image and Video Processing · Electrical Eng. & Systems 2022-01-27 Dongdong Chen , Mike E. Davies , Mohammad Golbabaee