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In a task where many similar inverse problems must be solved, evaluating costly simulations is impractical. Therefore, replacing the model $y$ with a surrogate model $y_s$ that can be evaluated quickly leads to a significant speedup. The…

Numerical Analysis · Mathematics 2024-05-15 Phillip Semler , Martin Weiser

The estimation of the probability of rare events is an important task in reliability and risk assessment. We consider failure events that are expressed in terms of a limit state function, which depends on the solution of a partial…

Numerical Analysis · Mathematics 2020-07-15 Fabian Wagner , Jonas Latz , Iason Papaioannou , Elisabeth Ullmann

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

The offline time of the reduced basis method can be very long given a large training set of parameter samples. This usually happens when the system has more than two independent parameters. On the other hand, if the training set includes…

Numerical Analysis · Mathematics 2023-04-04 Sridhar Chellappa , Lihong Feng , Peter Benner

Deep surrogate models for parametric partial differential equations (PDEs) can deliver high-fidelity approximations but remain prohibitively data-hungry: training often requires thousands of fine-grid simulations, each incurring substantial…

Machine Learning · Computer Science 2026-03-03 Yang Meng , Ruoxi Jiang , Zhuokai Zhao , Chong Liu , Rebecca Willett , Yuxin Chen

Surrogate models based on machine learning methods have become an important part of modern engineering to replace costly computer simulations. The data used for creating a surrogate model are essential for the model accuracy and often…

Machine Learning · Statistics 2023-10-03 Sven Lämmle , Can Bogoclu , Kevin Cremanns , Dirk Roos

To solve real-world expensive constrained multi-objective optimization problems (ECMOPs), surrogate/approximation models are commonly incorporated in evolutionary algorithms to pre-select promising candidate solutions for evaluation.…

Neural and Evolutionary Computing · Computer Science 2024-05-24 Kamrul Hasan Rahi

In Bayesian inverse problems, surrogate models are often constructed to speed up the computational procedure, as the parameter-to-data map can be very expensive to evaluate. However, due to the curse of dimensionality and the nonlinear…

Numerical Analysis · Mathematics 2020-03-03 Liang Yan , Tao Zhou

This work proposes an adaptive sequential Monte Carlo sampling algorithm to solve Bayesian inverse problems in scenarios where likelihood evaluations are costly but can be approximated using a surrogate model built from previous evaluations…

Computation · Statistics 2025-08-26 Frederic Cerou , Patrick Heas , Mathias Rousset

Adaptive subgroup enrichment design is an efficient design framework that allows accelerated development for investigational treatments while also having flexibility in population selection within the course of the trial. The adaptive…

Methodology · Statistics 2022-10-21 Liwen Wu , Qing Li , Mengya Liu , Jianchang Lin

There is now significant historical data available on decision making in organizations, consisting of the decision problem, what decisions were made, and how desirable the outcomes were. Using this data, it is possible to learn a surrogate…

Neural and Evolutionary Computing · Computer Science 2020-04-23 Olivier Francon , Santiago Gonzalez , Babak Hodjat , Elliot Meyerson , Risto Miikkulainen , Xin Qiu , Hormoz Shahrzad

It has been shown that cooperative coevolution (CC) can effectively deal with large scale optimization problems (LSOPs) through a divide-and-conquer strategy. However, its performance is severely restricted by the current…

Neural and Evolutionary Computing · Computer Science 2018-03-05 Bei Pang , Zhigang Ren , Yongsheng Liang , An Chen

We introduce hp-greedy, a refinement approach for building gravitational wave surrogates as an extension of the standard reduced basis framework. Our proposal is data-driven, with a domain decomposition of the parameter space, local reduced…

General Relativity and Quantum Cosmology · Physics 2022-12-19 Franco Cerino , J. Andrés Diaz-Pace , Manuel Tiglio

Surrogates in lieu of expensive-to-evaluate performance functions can accelerate the reliability analysis greatly. This paper proposes a new two-stage framework for surrogate-aided reliability analysis named Surrogates for Importance…

Other Statistics · Statistics 2020-01-29 Wang-Sheng Liu , Sai Hung Cheung , Wen-Jun Cao

The data-centric construction of inexpensive surrogates for fine-grained, physical models has been at the forefront of computational physics due to its significant utility in many-query tasks such as uncertainty quantification. Recent…

Machine Learning · Statistics 2021-03-17 Maximilian Rixner , Phaedon-Stelios Koutsourelakis

The performance of machine learning surrogates is critically dependent on data quality and quantity. This presents a major challenge, as high-fidelity (HF) data is often scarce and computationally expensive to acquire, while low-fidelity…

Machine Learning · Computer Science 2026-02-03 Jice Zeng , David Barajas-Solano , Hui Chen

Inverse modeling for computing a high-dimensional spatially-varying property field from indirect sparse and noisy observations is a challenging problem. This is due to the complex physical system of interest often expressed in the form of…

Computational Physics · Physics 2021-02-22 Govinda Anantha Padmanabha , Nicholas Zabaras

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…

Numerical Analysis · Mathematics 2021-09-14 Terrence Alsup , Benjamin Peherstorfer

In many randomized trials, outcomes such as essays or open-ended responses must be manually scored as a preliminary step to impact analysis, a process that is costly and limiting. Model-assisted estimation offers a way to combine surrogate…

Methodology · Statistics 2026-02-16 Reagan Mozer , Nicole E. Pashley , Luke Miratrix

The high computational cost of phase field simulations remains a major limitation for predicting dendritic solidification in metals, particularly in additive manufacturing, where microstructural control is critical. This work presents a…