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We introduce Bayesian Information-Theoretic Sampling for hierarchical GAussian Process Surrogates (BITS for GAPS), a framework enabling information-theoretic experimental design of Gaussian process-based surrogate models. Unlike standard…

Machine Learning · Statistics 2026-05-29 Kyla D. Jones , Alexander W. Dowling

We introduce a new general concept of surrogate random variable, the ``surrogate by exchangeability'' that allows to study the class of random variables that can be decomposed by means of an independent randomisation. As an example, we…

Probability · Mathematics 2024-10-02 Yacine Barhoumi-Andréani , Marius Butzek , Peter Eichelsbacher

Numerical simulations are crucial for modeling complex systems, but calibrating them becomes challenging when data are noisy or incomplete and likelihood evaluations are computationally expensive. Bayesian calibration offers an interesting…

Engineers widely use Gaussian process regression framework to construct surrogate models aimed to replace computationally expensive physical models while exploring design space. Thanks to Gaussian process properties we can use both samples…

Machine Learning · Statistics 2017-07-14 Evgeny Burnaev , Alexey Zaytsev

Surrogate models have shown to be an extremely efficient aid in solving engineering problems that require repeated evaluations of an expensive computational model. They are built by sparsely evaluating the costly original model and have…

Machine Learning · Statistics 2022-12-01 M. Moustapha , B. Sudret

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

While Bayesian inference is the gold standard for uncertainty quantification and propagation, its use within physical chemistry encounters formidable computational barriers. These bottlenecks are magnified for modeling data with many…

Chemical Physics · Physics 2024-12-24 B. L. Shanks , H. W. Sullivan , A. R. Shazed , M. P. Hoepfner

Surrogate endpoints are used in place of long-term outcomes in randomized experiments when observing the real outcome for a large enough cohort is prohibitively expensive or impractical. A short-term surrogate is good if the result of an…

Building a surrogate model of an objective function has shown to be effective to assist evolutionary algorithms (EAs) to solve real-world complex optimisation problems which involve either computationally expensive numerical simulations or…

Neural and Evolutionary Computing · Computer Science 2020-02-11 Xiaoran Ruan , Ke Li , Bilel Derbel , Arnaud Liefooghe

The active learning (AL) technique, one of the state-of-the-art methods for constructing surrogate models, has shown high accuracy and efficiency in forward uncertainty quantification (UQ) analysis. This paper provides a comprehensive study…

Methodology · Statistics 2024-04-12 Maijia Su , Ziqi Wang , Oreste Salvatore Bursi , Marco Broccardo

The Gaussian Process (GP)-based surrogate model has the inherent capability of capturing the anomaly arising from limited data, lack of data, missing data, and data inconsistencies (noisy/erroneous data) present in the modeling and…

Computation · Statistics 2022-11-07 Kazuma Kobayashi , James Daniell , Shoaib Usman , Dinesh Kumar , Syed Alam

We describe a family of iterative algorithms that involve the repeated execution of discrete and inverse discrete Fourier transforms. One interesting member of this family is motivated by the discrete Fourier transform uncertainty principle…

Signal Processing · Electrical Eng. & Systems 2026-05-19 H. Robert Frost

We compare two theoretically distinct approaches to generating artificial (or ``surrogate'') data for testing hypotheses about a given data set. The first and more straightforward approach is to fit a single ``best'' model to the original…

comp-gas · Physics 2015-06-24 James Theiler , Dean Prichard

There is a high interest in accelerating multiscale models using data-driven surrogate modeling techniques. Creating a large training dataset encompassing all relevant load scenarios is essential for a good surrogate, yet the computational…

Numerical Analysis · Mathematics 2025-04-24 J. Storm , W. Sun , I. B. C. M. Rocha , F. P. van der Meer

The identification of surrogate markers is motivated by their potential to make decisions sooner about a treatment effect. However, few methods have been developed to actually use a surrogate marker to test for a treatment effect in a…

Methodology · Statistics 2024-09-17 Layla Parast , Jay Bartroff

We consider the sample efficient estimation of failure probabilities from expensive oracle evaluations of a limit state function via importance sampling (IS). In contrast to conventional ``two stage'' approaches, which first train a…

Computation · Statistics 2026-04-10 Ashwin Renganathan , Annie S. Booth

An initial study of surrogate-assisted evolutionary algorithms used to design vertical-axis wind turbines wherein candidate prototypes are evaluated under fan generated wind conditions after being physically instantiated by a 3D printer has…

Neural and Evolutionary Computing · Computer Science 2016-03-14 Richard J. Preen , Larry Bull

A multi-fidelity surrogate model for highly nonlinear multiscale problems is proposed. It is based on the introduction of two different surrogate models and an adaptive on-the-fly switching. The two concurrent surrogates are built…

Computational Physics · Physics 2019-05-03 Felix Fritzen , Mauricio Fernández , Fredrik Larsson

An important task of uncertainty quantification is to identify {the probability of} undesired events, in particular, system failures, caused by various sources of uncertainties. In this work we consider the construction of Gaussian…

Computation · Statistics 2016-04-20 Hongqiao Wang , Guang Lin , Jinglai Li

Machine learning models play a vital role in time series forecasting. These models, however, often overlook an important element: point uncertainty estimates. Incorporating these estimates is crucial for effective risk management, informed…

Machine Learning · Computer Science 2024-09-11 Leonid Erlygin , Vladimir Zholobov , Valeriia Baklanova , Evgeny Sokolovskiy , Alexey Zaytsev
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