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A surrogate-based topology optimisation algorithm for linear elastic structures under parametric loads and boundary conditions is proposed. Instead of learning the parametric solution of the state (and adjoint) problems or the optimisation…

Numerical Analysis · Mathematics 2025-11-04 Matteo Giacomini , Antonio Huerta

High-fidelity numerical simulation of subsurface flow is computationally intensive, especially for many-query tasks such as uncertainty quantification and data assimilation. Deep learning (DL) surrogates can significantly accelerate forward…

Machine Learning · Computer Science 2026-04-15 Jiale Liu , Nanzhe Wang

We propose a novel learning-based surrogate data assimilation (DA) model for efficient state estimation in a limited area. Our model employs a feedforward neural network for online computation, eliminating the need for integrating…

Numerical Analysis · Mathematics 2023-07-17 Wei Kang , Liang Xu , Hong Zhou

In this paper we propose a data-driven distributionally robust Model Predictive Control framework for constrained stochastic systems with unbounded additive disturbances. Recursive feasibility is ensured by optimizing over an linearly…

Optimization and Control · Mathematics 2023-03-07 Christoph Mark , Steven Liu

Design, control, and estimation for dynamic systems require accurate and analytically tractable models. However, modern engineered systems contain components that are described with heterogeneous modeling paradigms, as well as subsystems…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Leeroy Makusha , Preston Abadie , Donald J. Docimo

This paper introduces a novel two-stage machine learning-based surrogate modeling framework to address inverse problems in scientific and engineering fields. In the first stage of the proposed framework, a machine learning model termed the…

Machine Learning · Computer Science 2024-01-05 Farhad Pourkamali-Anaraki , Jamal F. Husseini , Evan J. Pineda , Brett A. Bednarcyk , Scott E. Stapleton

The development of a reliable and robust surrogate model is often constrained by the dimensionality of the problem. For a system with high-dimensional inputs/outputs (I/O), conventional approaches usually use a low-dimensional manifold to…

Image and Video Processing · Electrical Eng. & Systems 2020-10-01 Xihaier Luo , Ahsan Kareem

We present a combined numerical and data-driven workflow for efficient prediction of nonlinear, instationary convection-diffusion-reaction dynamics on a two-dimensional phenotypic domain, motivated by macroscopic modeling of cancer cell…

Computational Engineering, Finance, and Science · Computer Science 2026-02-02 Michael Urs Lars Kastor , Jan Rottmayer , Anna Hundertmark , Nicolas Ralph Gauger

We study a class of prediction problems in which relatively few observations have associated responses, but all observations include both standard covariates as well as additional "helper" covariates. While the end goal is to make…

Statistics Theory · Mathematics 2024-12-13 Eric Xia , Martin J. Wainwright

Nuclear reaction data required for astrophysics and applications is incomplete, as not all nuclear reactions can be measured or reliably predicted. Neutron-induced reactions involving unstable targets are particularly challenging, but often…

This study presents a methodology to treat performance-based seismic design as an inverse engineering problem, where design parameters are directly derived to achieve specific performance objectives. By implementing explainable machine…

Machine Learning · Computer Science 2025-08-04 Mohsen Zaker Esteghamati

The automated construction of coarse-grained models represents a pivotal component in computer simulation of physical systems and is a key enabler in various analysis and design tasks related to uncertainty quantification. Pertinent methods…

Machine Learning · Statistics 2019-09-11 Constantin Grigo , Phaedon-Stelios Koutsourelakis

To predict rare extreme events using deep neural networks, one encounters the so-called small data problem because even long-term observations often contain few extreme events. Here, we investigate a model-assisted framework where the…

Machine Learning · Computer Science 2022-04-20 Anna Asch , Ethan Brady , Hugo Gallardo , John Hood , Bryan Chu , Mohammad Farazmand

Many real-world applications demand accurate and fast predictions, as well as reliable uncertainty estimates. However, quantifying uncertainty on high-dimensional predictions is still a severely under-investigated problem, especially when…

Computational Engineering, Finance, and Science · Computer Science 2025-02-04 Saurabh Deshpande , Hussein Rappel , Mark Hobbs , Stéphane P. A. Bordas , Jakub Lengiewicz

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

The effective contact area in rough surface contact plays a critical role in multi-physics phenomena such as wear, sealing, and thermal or electrical conduction. Although accurate numerical methods, like the Boundary Element Method (BEM),…

Computational Engineering, Finance, and Science · Computer Science 2025-04-25 Tarik Sahin , Jacopo Bonari , Sebastian Brandstaeter , Alexander Popp

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…

The Linear Parameter-Varying (LPV) framework enables the construction of surrogate models of complex nonlinear and high-dimensional systems, facilitating efficient stability and performance analysis together with controller design. Despite…

Systems and Control · Electrical Eng. & Systems 2026-04-01 E. Javier Olucha , Valentin Preda , Amritam Das , Roland Tóth

Parameter estimation in structural dynamics generally involves inferring the values of physical, geometric, or even customized parameters based on first principles or expert knowledge, which is challenging for complex structural systems. In…

Computational Engineering, Finance, and Science · Computer Science 2025-04-08 Mingyuan Zhou , Haoze Song , Wenjing Ye , Wei Wang , Zhilu Lai

Simulation based or dynamic probabilistic risk assessment methodologies were primarily developed for proving a more realistic and complete representation of complex systems accident response. Such simulation based methodologies have proven…

Systems and Control · Electrical Eng. & Systems 2021-09-30 Parhizkar Tarannom , Mosleh Ali