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We address the challenge of constructing noise-robust surrogate models for quantities of interest (QoIs) arising from parametric partial differential equations (PDEs), using multi-fidelity collocation techniques; specifically, the…

Numerical Analysis · Mathematics 2026-02-17 Benjamin M. Kent , Lorenzo Tamellini , Matteo Giacomini , Antonio Huerta

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

Simulating complex physical processes across a domain of input parameters can be very computationally expensive. Multi-fidelity surrogate modeling can resolve this issue by integrating cheaper simulations with the expensive ones in order to…

Methodology · Statistics 2026-02-03 Romain Boutelet , Chih-Li Sung

Reconstructing the high-fidelity surface from multi-view images, especially sparse images, is a critical and practical task that has attracted widespread attention in recent years. However, existing methods are impeded by the memory…

Computer Vision and Pattern Recognition · Computer Science 2024-09-06 Rui Peng , Shihe Shen , Kaiqiang Xiong , Huachen Gao , Jianbo Jiao , Xiaodong Gu , Ronggang Wang

Surrogate models are often used as computationally efficient approximations to complex simulation models, enabling tasks such as solving inverse problems, sensitivity analysis, and probabilistic forward predictions, which would otherwise be…

Machine Learning · Statistics 2026-05-13 Philipp Reiser , Paul-Christian Bürkner , Anneli Guthke

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

Machine learning (ML) methods, which fit to data the parameters of a given parameterized model class, have garnered significant interest as potential methods for learning surrogate models for complex engineering systems for which…

Machine Learning · Statistics 2024-07-03 Elizabeth Qian , Dayoung Kang , Vignesh Sella , Anirban Chaudhuri

Mesh-based numerical solvers are an important part in many design tool chains. However, accurate simulations like computational fluid dynamics are time and resource consuming which is why surrogate models are employed to speed-up the…

Machine Learning · Computer Science 2023-07-27 Sebastian Strönisch , Maximilian Sander , Andreas Knüpfer , Marcus Meyer

Inspired by multi-fidelity methods in computer simulations, this article introduces procedures to design surrogates for the input/output relationship of a high-fidelity code. These surrogates should be learned from runs of both the…

Numerical Analysis · Mathematics 2024-06-21 Simon Foucart , Nicolas Hengartner

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

In many multi-microphone algorithms, an estimate of the relative transfer functions (RTFs) of the desired speaker is required. Recently, a computationally efficient RTF vector estimation method was proposed for acoustic sensor networks,…

Audio and Speech Processing · Electrical Eng. & Systems 2023-04-07 Wiebke Middelberg , Simon Doclo

Heuristic optimisation algorithms explore the search space by sampling solutions, evaluating their fitness, and biasing the search in the direction of promising solutions. However, in many cases, this fitness function involves executing…

Neural and Evolutionary Computing · Computer Science 2024-10-07 Pablo S. Naharro , Pablo Toharia , Antonio LaTorre , José-María Peña

Accurate time series prediction over long future horizons is challenging and of great interest to both practitioners and academics. As a well-known intelligent algorithm, the standard formulation of Support Vector Regression (SVR) could be…

Machine Learning · Computer Science 2014-01-14 Yukun Bao , Tao Xiong , Zhongyi Hu

This work develops a multivariate extension of the Fixed Rank Kriging (FRK) framework for spatial prediction in settings where multiple spatial processes may provide complementary information. The goal is to preserve the computational…

Methodology · Statistics 2026-03-24 Gaia Caringi , Piercesare Secchi

The development of next-generation autonomous control of fission systems, such as nuclear power plants, will require leveraging advancements in machine learning. For fission systems, accurate prediction of nuclear transport is important to…

Computational Physics · Physics 2021-06-01 Akshay J. Dave , Jiankai Yu , Jarod Wilson , Bren Phillips , Kaichao Sun , Benoit Forget

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

In chemical process engineering, surrogate models of complex systems are often necessary for tasks of domain exploration, sensitivity analysis of the design parameters, and optimization. A suite of computational fluid dynamics (CFD)…

Computational Engineering, Finance, and Science · Computer Science 2020-09-09 Gabriel F. N. Gonçalves , Assen Batchvarov , Yuyi Liu , Yuxin Liu , Lachlan Mason , Indranil Pan , Omar K. Matar

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

Accurately modelling the Earth's climate has widespread applications ranging from forecasting local weather to understanding global climate change. Low-fidelity simulations of climate phenomena are readily available, but high-fidelity…

Atmospheric and Oceanic Physics · Physics 2021-09-17 Ben Hudson , Frederik Nijweide , Isaac Sebenius

Current generative models for drug discovery primarily use molecular docking to evaluate the quality of generated compounds. However, such models are often not useful in practice because even compounds with high docking scores do not…

Biomolecules · Quantitative Biology 2024-02-19 Peter Eckmann , Dongxia Wu , Germano Heinzelmann , Michael K Gilson , Rose Yu
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