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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

High-speed flight vehicles, which travel much faster than the speed of sound, are crucial for national defense and space exploration. However, accurately predicting their behavior under numerous, varied flight conditions is a challenge and…

Machine Learning · Computer Science 2024-11-07 Tyler E. Korenyi-Both , Nathan J. Falkiewicz , Matthew C. Jones

In the continual effort to improve product quality and decrease operations costs, computational modeling is increasingly being deployed to determine feasibility of product designs or configurations. Surrogate modeling of these computer…

Machine Learning · Statistics 2021-11-10 Nathan Wycoff , Mickaël Binois , Robert B. Gramacy

Surrogate models provide fast alternatives to costly aerodynamic simulations and are extremely useful in design and optimization applications. This study proposes the use of a recent kernel-based neural surrogate, KHRONOS. In this work, we…

Machine Learning · Computer Science 2025-12-12 Apurba Sarker , Reza T. Batley , Darshan Sarojini , Sourav Saha

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

This work proposes a data-driven surrogate modeling framework for cost-effectively inferring the torque of a permanent magnet synchronous machine under geometric design variations. The framework is separated into a reduced-order modeling…

Computational Engineering, Finance, and Science · Computer Science 2025-03-13 Aylar Partovizadeh , Sebastian Schöps , Dimitrios Loukrezis

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

The Surrogate Modeling Toolbox (SMT) is an open-source Python package that offers a collection of surrogate modeling methods, sampling techniques, and a set of sample problems. This paper presents SMT 2.0, a major new release of SMT that…

A recent trend in explainable AI research has focused on surrogate modeling, where neural networks are approximated as simpler ML algorithms such as kernel machines. A second trend has been to utilize kernel functions in various…

Machine Learning · Computer Science 2024-03-13 Andrew Engel , Zhichao Wang , Natalie S. Frank , Ioana Dumitriu , Sutanay Choudhury , Anand Sarwate , Tony Chiang

Surrogate models provide compact relations between user-defined input parameters and output quantities of interest, enabling the efficient evaluation of complex parametric systems in many-query settings. Such capabilities are essential in a…

Numerical Analysis · Mathematics 2026-03-16 Matteo Giacomini , Pedro Díez

Motivated by the needs from an airline crew scheduling application, we introduce structured convolutional kernel networks (Struct-CKN), which combine CKNs from Mairal et al. (2014) in a structured prediction framework that supports…

Machine Learning · Computer Science 2021-07-26 Yassine Yaakoubi , François Soumis , Simon Lacoste-Julien

Simulation-based problems involving mixed-variable inputs frequently feature domains that are hierarchical, conditional, heterogeneous, or tree-structured. These characteristics pose challenges for data representation, modeling, and…

Machine Learning · Computer Science 2026-01-21 Paul Saves , Edward Hallé-Hannan , Jasper Bussemaker , Youssef Diouane , Nathalie Bartoli

In this paper, we propose a data-driven framework for collaborative wideband spectrum sensing and scheduling for networked unmanned aerial vehicles (UAVs), which act as the secondary users (SUs) to opportunistically utilize detected…

Machine Learning · Computer Science 2024-06-05 Sravan Reddy Chintareddy , Keenan Roach , Kenny Cheung , Morteza Hashemi

Emulating high-accuracy computationally expensive models is crucial for tasks requiring numerous model evaluations, such as uncertainty quantification and optimization. When lower-fidelity models are available, they can be used to improve…

Methodology · Statistics 2024-10-30 Katerina Giannoukou , Stefano Marelli , Bruno Sudret

Anomalous behavior is ubiquitous in subsurface solute transport due to the presence of high degrees of heterogeneity at different scales in the media. Although fractional models have been extensively used to describe the anomalous transport…

Numerical Analysis · Mathematics 2022-02-01 Xiao Xu , Marta D'Elia , Christian Glusa , John T. Foster

The interpretability of machine learning, particularly for deep neural networks, is crucial for decision making in real-world applications. One approach is replacing the un-interpretable machine learning model with a surrogate model, which…

Machine Learning · Statistics 2020-07-22 Keiichi Kisamori , Keisuke Yamazaki , Yuto Komori , Hiroshi Tokieda

Surrogate modeling is an essential data-driven technique for quantifying relationships between input variables and system responses in manufacturing and engineering systems. Two major challenges limit its effectiveness: (1) large data…

Machine Learning · Computer Science 2026-03-11 Manan Mehta , Zhiqiao Dong , Yuhang Yang , Chenhui Shao

We consider the problem of modeling, estimating, and controlling the latent state of a spatiotemporally evolving continuous function using very few sensor measurements and actuator locations. Our solution to the problem consists of two…

Systems and Control · Computer Science 2015-08-11 Hassan A. Kingravi , Harshal Maske , Girish Chowdhary

This article presents an original methodology for the prediction of steady turbulent aerodynamic fields. Due to the important computational cost of high-fidelity aerodynamic simulations, a surrogate model is employed to cope with the…

Fluid Dynamics · Physics 2019-12-05 Romain Dupuis , Jean-Christophe Jouhaud , Pierre Sagaut

Data-driven neural networks are increasingly used as surrogate forward models in geophysics, but it remains unclear whether they recover only the data mapping or also the underlying physical sensitivity structure. Here we test this question…

Machine Learning · Computer Science 2026-04-07 Ziye Yu , Yuqi Cai , Xin Liu
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