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The objective of this work is to quantify the uncertainty in probability of failure estimates resulting from incomplete knowledge of the probability distributions for the input random variables. We propose a framework that couples the…

统计方法学 · 统计学 2021-10-26 Dimitris G. Giovanis , Michael Shields

Physics simulators are essential in science and engineering, enabling the analysis, control, and design of complex systems. In experimental sciences, they are increasingly used to automate experimental design, often via combinatorial search…

The widespread adoption of machine learning surrogate models has significantly improved the scale and complexity of systems and processes that can be explored accurately and efficiently using atomistic modeling. However, the inherently…

化学物理 · 物理学 2025-03-13 Federico Grasselli , Sanggyu Chong , Venkat Kapil , Silvia Bonfanti , Kevin Rossi

Gaussian process surrogates are a popular alternative to directly using computationally expensive simulation models. When the simulation output consists of many responses, dimension-reduction techniques are often employed to construct these…

统计方法学 · 统计学 2023-05-04 Moses Y-H. Chan , Matthew Plumlee , Stefan M. Wild

We propose a novel approach to perform approximate Bayesian inference in complex models such as Bayesian neural networks. The approach is more scalable to large data than Markov Chain Monte Carlo, it embraces more expressive models than…

机器学习 · 统计学 2022-09-07 Joel Janek Dabrowski , Daniel Edward Pagendam

Modern approaches for simulation-based inference rely upon deep learning surrogates to enable approximate inference with computer simulators. In practice, the estimated posteriors' computational faithfulness is, however, rarely guaranteed.…

机器学习 · 统计学 2022-08-30 Arnaud Delaunoy , Joeri Hermans , François Rozet , Antoine Wehenkel , Gilles Louppe

Simulation models, in particular agent-based models, are gaining popularity in economics. The considerable flexibility they offer, as well as their capacity to reproduce a variety of empirically observed behaviours of complex systems, give…

计量经济学 · 经济学 2024-02-20 Joel Dyer , Patrick Cannon , J. Doyne Farmer , Sebastian Schmon

Generating simulated training data needed for constructing sufficiently accurate surrogate models to be used for efficient optimization or parameter identification can incur a huge computational effort in the offline phase. We consider a…

数值分析 · 数学 2024-04-03 Phillip Semler , Martin Weiser

In many fields of science, generalized likelihood ratio tests are established tools for statistical inference. At the same time, it has become increasingly common that a simulator (or generative model) is used to describe complex processes…

应用统计 · 统计学 2016-03-21 Kyle Cranmer , Juan Pavez , Gilles Louppe

This work is in the context of blackbox optimization where the functions defining the problem are expensive to evaluate and where no derivatives are available. A tried and tested technique is to build surrogates of the objective and the…

最优化与控制 · 数学 2022-08-18 Charles Audet , Sébastien Le Digabel , Renaud Saltet

When a black-box optimization objective can only be evaluated with costly or noisy measurements, most standard optimization algorithms are unsuited to find the optimal solution. Specialized algorithms that deal with exactly this situation…

机器学习 · 计算机科学 2021-06-11 Laurens Bliek , Sicco Verwer , Mathijs de Weerdt

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…

数值分析 · 数学 2026-03-16 Matteo Giacomini , Pedro Díez

Simulation-based inference methods have been shown to be inaccurate in the data-poor regime, when training simulations are limited or expensive. Under these circumstances, the inference network is particularly prone to overfitting, and…

We propose a multi-fidelity neural network surrogate sampling method for the uncertainty quantification of physical/biological systems described by ordinary or partial differential equations. We first generate a set of low/high-fidelity…

数值分析 · 数学 2020-05-07 Mohammad Motamed

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…

机器学习 · 计算机科学 2024-09-11 Leonid Erlygin , Vladimir Zholobov , Valeriia Baklanova , Evgeny Sokolovskiy , Alexey Zaytsev

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…

机器学习 · 统计学 2026-01-27 Philipp Reiser , Javier Enrique Aguilar , Anneli Guthke , Paul-Christian Bürkner

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…

统计方法学 · 统计学 2024-10-30 Katerina Giannoukou , Stefano Marelli , Bruno Sudret

Multi-fidelity methods leverage low-cost surrogate models to speed up computations and make occasional recourse to expensive high-fidelity models to establish accuracy guarantees. Because surrogate and high-fidelity models are used…

数值分析 · 数学 2021-09-14 Terrence Alsup , Benjamin Peherstorfer

Data integration methods aim to extract low-dimensional embeddings from high-dimensional outcomes to remove unwanted variations, such as batch effects and unmeasured covariates, across heterogeneous datasets. However, multiple hypothesis…

统计方法学 · 统计学 2025-12-15 Jin-Hong Du , Kathryn Roeder , Larry Wasserman

We present a way to capture high-information posteriors from training sets that are sparsely sampled over the parameter space for robust simulation-based inference. In physical inference problems, we can often apply domain knowledge to…

机器学习 · 统计学 2025-09-26 T. Lucas Makinen , Ce Sui , Benjamin D. Wandelt , Natalia Porqueres , Alan Heavens