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This paper develops a surrogate model refinement approach for the simulation of dynamical systems and the solution of optimization problems governed by dynamical systems in which surrogates replace expensive-to-compute state- and…

Optimization and Control · Mathematics 2025-09-08 Jonathan R. Cangelosi , Matthias Heinkenschloss

We introduce a method to construct a stochastic surrogate model from the results of dimensionality reduction in forward uncertainty quantification. The hypothesis is that the high-dimensional input augmented by the output of a computational…

Applications · Statistics 2026-02-12 Jungho Kim , Sang-ri Yi , Ziqi Wang

Poroelasticity -- coupled fluid flow and elastic deformation in porous media -- often involves spatially variable permeability, especially in subsurface systems. In such cases, simulations with random permeability fields are widely used for…

Machine Learning · Computer Science 2025-09-16 Sangjoon Park , Yeonjong Shin , Jinhyun Choo

Multiphase flows frequently occur naturally and in manufactured devices. Controlling such phenomena is extremely challenging due to the strongly non-linear dynamics, rapid phase transitions, and the limited spatial and temporal resolution…

Fluid Dynamics · Physics 2026-03-27 Paolo Guida , Didier Barradas-Bautista

Injecting greenhouse gas into deep underground reservoirs for permanent storage can inadvertently lead to fault reactivation, caprock fracturing and greenhouse gas leakage when the injection-induced stress exceeds the critical threshold.…

Computational Engineering, Finance, and Science · Computer Science 2024-10-08 Jungang Chen , Eduardo Gildin , Georgy Kompantsev

Machine learning methods are increasingly used to build computationally inexpensive surrogates for complex physical models. The predictive capability of these surrogates suffers when data are noisy, sparse, or time-dependent. As we are…

Machine Learning · Computer Science 2024-05-20 A. Diaw , M. McKerns , I. Sagert , L. G. Stanton , M. S. Murillo

In this contribution we present an accelerated optimization-based approach for combined state and parameter reduction of a parametrized linear control system which is then used as a surrogate model in a Bayesian inverse setting. Following…

Optimization and Control · Mathematics 2016-08-22 Christian Himpe , Mario Ohlberger

A deep-learning-based surrogate model capable of predicting flow and geomechanical responses in CO2 storage operations is presented and applied. The 3D recurrent R-U-Net model combines deep convolutional and recurrent neural networks to…

Machine Learning · Computer Science 2021-05-05 Meng Tang , Xin Ju , Louis J. Durlofsky

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

Error-bounded lossy compression techniques have become vital for scientific data management and analytics, given the ever-increasing volume of data generated by modern scientific simulations and instruments. Nevertheless, assessing data…

Machine Learning · Computer Science 2025-12-29 Khondoker Mirazul Mumenin , Robert Underwood , Dong Dai , Jinzhen Wang , Sheng Di , Zarija Lukić , Franck Cappello

This study introduces a surrogate modeling framework merging proper orthogonal decomposition, long short-term memory networks, and multi-task learning, to accurately predict elastoplastic deformations in real-time. Superior to single-task…

Computational Engineering, Finance, and Science · Computer Science 2024-11-11 Ruben Schmeitz , Joris Remmers , Olga Mula , Olaf van der Sluis

Fast and reliable surrogate models are critical for optimization, control and uncertainty analysis in geological carbon-storage projects, yet high-fidelity multiphase simulators remain too expensive. Dynamic Mode Decomposition (DMD) offers…

Computational Physics · Physics 2026-02-24 Dimitrios Voulanas , Eduardo Gildin

Many real-world systems are modelled using complex ordinary differential equations (ODEs). However, the dimensionality of these systems can make them challenging to analyze. Dimensionality reduction techniques like Proper Orthogonal…

Computational Engineering, Finance, and Science · Computer Science 2025-02-26 Abhishek Ajayakumar , Soumyendu Raha

River bathymetry is critical for many aspects of water resources management. We propose and demonstrate a bathymetry inversion method using a deep-learning-based surrogate for shallow water equations solvers. The surrogate uses the…

Fluid Dynamics · Physics 2022-03-08 Xiaofeng Liu , Yalan Song , Chaopeng Shen

Training reinforcement learning (RL) agents to control fluid dynamics systems is computationally expensive due to the high cost of direct numerical simulations (DNS) of the governing equations. Surrogate models offer a promising alternative…

Machine Learning · Computer Science 2026-03-31 Tim Plotzki , Sebastian Peitz

Convection-dominated problems are known for their slow Kolmogorov $n$-width decays and are challenging for model order reduction (MOR). In this work, we propose a hybrid surrogate modeling approach and a non-intrusive variant that overcome…

Dynamical Systems · Mathematics 2026-05-29 Lihong Feng , Ali Hassan , Shuwen Sun

Driven by advances in hardware and software technologies, nonlinear model predictive control (NMPC) has gained increasing adoption in both industry and academia over the past decades. However, its practical deployment is often limited by…

Optimization and Control · Mathematics 2026-04-10 Perceval Beja-Battais , Guillaume Dupré , Alain Grossetête , Nicolas Vayatis

Accurate knowledge of the distribution system topology and parameters is required to achieve good voltage controls, but this is difficult to obtain in practice. This paper develops a model-free approach based on the surrogate model and deep…

Systems and Control · Electrical Eng. & Systems 2020-06-26 Di Cao , Junbo Zhao , Weihao Hu , Fei Ding , Qi Huang , Zhe Chen , Frede Blaabjerg

Predicting and simulating aerodynamic fields for civil aircraft over wide flight envelopes represent a real challenge mainly due to significant numerical costs and complex flows. Surrogate models and reduced-order models help to estimate…

Fluid Dynamics · Physics 2019-12-11 Romain Dupuis , Jean-Christophe Jouhaud , Pierre Sagaut

Production optimization under geological uncertainty is computationally expensive, as a large number of well control schedules must be evaluated over multiple geological realizations. In this work, a convolutional-recurrent neural network…

Machine Learning · Computer Science 2022-06-02 Yong Do Kim , Louis J. Durlofsky