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Surrogate models are statistical or conceptual approximations for more complex simulation models. In this context, it is crucial to propagate the uncertainty induced by limited simulation budget and surrogate approximation error to…

Machine Learning · Statistics 2026-01-27 Philipp Reiser , Javier Enrique Aguilar , Anneli Guthke , Paul-Christian Bürkner

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

Highly accurate datasets from numerical or physical experiments are often expensive and time-consuming to acquire, posing a significant challenge for applications that require precise evaluations, potentially across multiple scenarios and…

Machine Learning · Computer Science 2026-02-06 Paolo Conti , Mengwu Guo , Attilio Frangi , Andrea Manzoni

Thanks to their versatility, ease of deployment and high-performance, surrogate models have become staple tools in the arsenal of uncertainty quantification (UQ). From local interpolants to global spectral decompositions, surrogates are…

Machine Learning · Statistics 2020-02-12 C. Lataniotis , S. Marelli , B. Sudret

Quantum algorithms are emerging tools in the design of functional materials due to their powerful solution space search capability. How to balance the high price of quantum computing resources and the growing computing needs has become an…

Quantum Physics · Physics 2024-05-13 Zhihao Xu , Wenjie Shang , Seongmin Kim , Alexandria Bobbitt , Eungkyu Lee , Tengfei Luo

The accurate (or even approximate) solution of the equations that govern the dynamics of dissipative quantum systems remains a challenging task for quantum science. While several algorithms have been designed to solve those equations with…

Quantum Physics · Physics 2024-03-27 Jiaji Zhang , Carlos L. Benavides-Riveros , Lipeng Chen

The increasingly complex quantum electronic circuits with a number of coupled quantum degrees of freedom will become intractable to be simulated on classical computers, and requires quantum computers for an efficient simulation. In turn, it…

Deep learning-based surrogate models have demonstrated remarkable advantages over classical solvers in terms of speed, often achieving speedups of 10 to 1000 times over traditional partial differential equation (PDE) solvers. However, a…

Machine Learning · Computer Science 2024-02-14 Tailin Wu , Willie Neiswanger , Hongtao Zheng , Stefano Ermon , Jure Leskovec

This chapter deals with kernel methods as a special class of techniques for surrogate modeling. Kernel methods have proven to be efficient in machine learning, pattern recognition and signal analysis due to their flexibility, excellent…

Numerical Analysis · Mathematics 2022-10-31 Gabriele Santin , Bernard Haasdonk

Representing signals with sparse vectors has a wide range of applications that range from image and video coding to shape representation and health monitoring. In many applications with real-time requirements, or that deal with…

Quantum Physics · Physics 2022-08-09 Armando Bellante , Stefano Zanero

Surrogate models for partial-differential equations are widely used in the design of meta-materials to rapidly evaluate the behavior of composable components. However, the training cost of accurate surrogates by machine learning can rapidly…

Machine Learning · Computer Science 2020-11-04 Raphaël Pestourie , Youssef Mroueh , Thanh V. Nguyen , Payel Das , Steven G. Johnson

Fast surrogate models for expensive simulations are now essential across the sciences, yet they typically operate as black boxes. We present \texttt{GWAgent}, a large language model (LLM)-based workflow that constructs interpretable…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Tousif Islam , Digvijay Wadekar , Tejaswi Venumadhav , Matias Zaldarriaga , Ajit Kumar Mehta , Javier Roulet , Barak Zackay

Recent advances in combustion science have led to the generation of large volumes of data from high-fidelity simulations, detailed chemical-kinetic calculations and engine-relevant measurements and create new opportunities for data-driven…

Chemical Physics · Physics 2026-04-29 Amirali Shateri , Zhiyin Yang , Yuying Yan , Manosh C. Paul , Jianfei Xie

Recent advancements in Machine Learning (ML) have substantially improved its predictive and computational abilities, offering promising opportunities for surrogate modeling in scientific applications. By accurately approximating complex…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-28 Zane Fink , Konstantinos Parasyris , Praneet Rathi , Giorgis Georgakoudis , Harshitha Menon , Peer-Timo Bremer

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

Machine learning algorithms perform well on identifying patterns in many different datasets due to their versatility. However, as one increases the size of the dataset, the computation time for training and using these statistical models…

Quantum Physics · Physics 2024-09-19 Abhijat Sarma , Rupak Chatterjee , Kaitlin Gili , Ting Yu

One method to solve expensive black-box optimization problems is to use a surrogate model that approximates the objective based on previous observed evaluations. The surrogate, which is cheaper to evaluate, is optimized instead to find an…

Optimization and Control · Mathematics 2021-05-28 Rickard Karlsson , Laurens Bliek , Sicco Verwer , Mathijs de Weerdt

The computational resources required to solve the full 3D inversion of time-domain electromagnetic data are immense. To overcome the time-consuming 3D simulations, we construct a surrogate model, more precisely, a data-driven statistical…

Geophysics · Physics 2024-07-10 Wouter Deleersnyder , David Dudal , Thomas Hermans

With computational models becoming more expensive and complex, surrogate models have gained increasing attention in many scientific disciplines and are often necessary to conduct sensitivity studies, parameter optimization etc. In the…

Methodology · Statistics 2023-07-24 Matthias Fischer , Carsten Proppe