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We introduce a conditional pseudo-reversible normalizing flow for constructing surrogate models of a physical model polluted by additive noise to efficiently quantify forward and inverse uncertainty propagation. Existing surrogate modeling…

Machine Learning · Computer Science 2024-04-02 Minglei Yang , Pengjun Wang , Ming Fan , Dan Lu , Yanzhao Cao , Guannan Zhang

Temporal surrogate models are effective for predicting chaotic dynamical systems where computational cost can be prohibitive. Several deep neural network architectures can be used for such purposes. In this work, a few commonly used…

Machine Learning · Computer Science 2026-05-26 Rajarshi Biswas

The transition of the power grid requires new technologies and methodologies, which can only be developed and tested in simulations. Especially larger simulation setups with many levels of detail can become quite slow. Therefore, the number…

Signal Processing · Electrical Eng. & Systems 2020-06-23 Stephan Balduin , Tom Westermann , Erika Puiutta

We propose and demonstrate a new approach for fast and accurate surrogate modelling of urban drainage system hydraulics based on physics-guided machine learning. The surrogates are trained against a limited set of simulation results from a…

Machine Learning · Computer Science 2022-11-15 Rocco Palmitessa , Morten Grum , Allan Peter Engsig-Karup , Roland Löwe

This paper aims to enhance the efficiency of validation and verification campaigns involving fuel sloshing phenomena. Our first contribution is the development of an open-source, high-fidelity and computationally efficient two-dimensional…

Systems and Control · Electrical Eng. & Systems 2026-04-15 E. Javier Olucha , Valentin Preda , Amritam Das , Roland Tóth

In the framework of reduced basis methods, we recently introduced a new certified hierarchical and adaptive surrogate model, which can be used for efficient approximation of input-output maps that are governed by parametrized partial…

Numerical Analysis · Mathematics 2023-03-01 Tizian Wenzel , Bernard Haasdonk , Hendrik Kleikamp , Mario Ohlberger , Felix Schindler

Risk modeling with EHR data is challenging due to a lack of direct observations on the disease outcome, and the high dimensionality of the candidate predictors. In this paper, we develop a surrogate assisted semi-supervised-learning (SAS)…

Statistics Theory · Mathematics 2021-05-05 Jue Hou , Zijian Guo , Tianxi Cai

Decision support systems often rely on solving complex optimization problems that may require to estimate uncertain parameters beforehand. Recent studies have shown how using traditionally trained estimators for this task can lead to…

Machine Learning · Computer Science 2025-12-19 Gaetano Signorelli , Michele Lombardi

Models that balance accuracy against computational costs are advantageous when designing dynamic systems with optimization studies, as several hundred predictive function evaluations might be necessary to identify the optimal solution. The…

Systems and Control · Electrical Eng. & Systems 2023-08-16 Athul Krishna Sundarrajan , Daniel R. Herber

We employ an evolutionary optimization framework that perturbs initial states to generate informative and diverse policy demonstrations. A joint surrogate fitness function guides the optimization by combining local diversity, behavioral…

Machine Learning · Computer Science 2025-04-22 Philipp Altmann , Céline Davignon , Maximilian Zorn , Fabian Ritz , Claudia Linnhoff-Popien , Thomas Gabor

This paper presents a physics and data co-driven surrogate modeling method for efficient rare event simulation of civil and mechanical systems with high-dimensional input uncertainties. The method fuses interpretable low-fidelity physical…

Computation · Statistics 2024-05-10 Jianhua Xian , Ziqi Wang

Surrogate models are effective tools for accelerated design of complex systems. The result of a design optimization procedure using surrogate models can be used to initialize an optimization routine using the full order system. High…

Computational Engineering, Finance, and Science · Computer Science 2025-01-15 Anas Abdelrehim , Dhairya Gandhi , Sharan Yalburgi , Ashutosh Bharambe , Ranjan Anantharaman , Chris Rackauckas

Hyperparameter optimization (HPO) is generally treated as a bi-level optimization problem that involves fitting a (probabilistic) surrogate model to a set of observed hyperparameter responses, e.g. validation loss, and consequently…

Machine Learning · Computer Science 2021-10-18 Hadi S. Jomaa , Jonas Falkner , Lars Schmidt-Thieme

Various frameworks have been proposed to predict mechanical system responses by combining data from different fidelities for design optimization and uncertainty quantification as reviewed by Fern\'andez-Godino et al. and Peherstorfer et…

Data Analysis, Statistics and Probability · Physics 2017-05-09 Yiming Zhang , Nam-Ho Kim , Chanyoung Park , Raphael T. Haftka

Recently, a surrogate model was proposed that employs a factorization machine to approximate the underlying input-output mapping of the original system, with quantum annealing used to optimize the resulting surrogate function. Inspired by…

Machine Learning · Computer Science 2026-01-21 Anbang Wang , Dunbo Cai , Yu Zhang , Yangqing Huang , Xiangyang Feng , Zhihong Zhang

Large uncertainties in many phenomena have challenged decision making. Collecting additional information to better characterize reducible uncertainties is among decision alternatives. Value of information (VoI) analysis is a mathematical…

Applications · Statistics 2020-03-16 Chi Zhang , Zeyu Wang , Abdollah Shafieezadeh

Constructing approximations that can accurately mimic the behavior of complex models at reduced computational costs is an important aspect of uncertainty quantification. Despite their flexibility and efficiency, classical surrogate models…

Computation · Statistics 2020-06-29 S. Marelli , P. -R. Wagner , C. Lataniotis , B. Sudret

Machine learning-based surrogate models have emerged as more efficient alternatives to numerical solvers for physical simulations over complex geometries, such as car bodies. Many existing models incorporate the simulation mesh as an…

Machine Learning · Computer Science 2026-01-27 Jan Hagnberger , Mathias Niepert

This paper describes novel algorithms for the identification of (almost-)resonant behavior in scattering problems. Our methods, relying on rational approximation, aim at building surrogate models of what we call "field amplification",…

Numerical Analysis · Mathematics 2025-08-12 Davide Pradovera , Ralf Hiptmair , Ilaria Perugia

Solving optimization problems with unknown parameters often requires learning a predictive model to predict the values of the unknown parameters and then solving the problem using these values. Recent work has shown that including the…

Machine Learning · Computer Science 2020-10-23 Kai Wang , Bryan Wilder , Andrew Perrault , Milind Tambe