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Stochastic inverse problems are generally solved by some form of finite sampling of a space of uncertain parameters. For computationally expensive models, surrogate response surfaces are often employed to increase the number of samples used…

数值分析 · 数学 2018-07-04 Steven Mattis , Barbara Wohlmuth

Prediction+optimization is a common real-world paradigm where we have to predict problem parameters before solving the optimization problem. However, the criteria by which the prediction model is trained are often inconsistent with the goal…

机器学习 · 计算机科学 2021-11-23 Kai Yan , Jie Yan , Chuan Luo , Liting Chen , Qingwei Lin , Dongmei Zhang

Simulation is increasingly being used for generating large labelled datasets in many machine learning problems. Recent methods have focused on adjusting simulator parameters with the goal of maximising accuracy on a validation task, usually…

计算机视觉与模式识别 · 计算机科学 2020-08-20 Harkirat Singh Behl , Atılım Güneş Baydin , Ran Gal , Philip H. S. Torr , Vibhav Vineet

The estimation of unknown values of parameters (or hidden variables, control variables) that characterise a physical system often relies on the comparison of measured data with synthetic data produced by some numerical simulator of the…

机器学习 · 计算机科学 2019-01-28 Xi Chen , Mike Hobson

Many real-world systems are modelled using complex ordinary differential equations (ODEs). However, the dimensionality of these systems can make them challenging to analyze. Dimensionality reduction techniques like Proper Orthogonal…

计算工程、金融与科学 · 计算机科学 2025-02-26 Abhishek Ajayakumar , Soumyendu Raha

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…

机器学习 · 计算机科学 2020-11-04 Raphaël Pestourie , Youssef Mroueh , Thanh V. Nguyen , Payel Das , Steven G. Johnson

Crash simulations play an essential role in improving vehicle safety, design optimization, and injury risk estimation. Unfortunately, numerical solutions of such problems using state-of-the-art high-fidelity models require significant…

机器学习 · 计算机科学 2024-02-16 Jonas Kneifl , Jörg Fehr , Steven L. Brunton , J. Nathan Kutz

Driven by increased complexity of dynamical systems, the solution of system of differential equations through numerical simulation in optimization problems has become computationally expensive. This paper provides a smart data driven…

最优化与控制 · 数学 2021-08-25 Kainat Khowaja , Mykhaylo Shcherbatyy , Wolfgang Karl Härdle

The development of a reliable and robust surrogate model is often constrained by the dimensionality of the problem. For a system with high-dimensional inputs/outputs (I/O), conventional approaches usually use a low-dimensional manifold to…

图像与视频处理 · 电气工程与系统科学 2020-10-01 Xihaier Luo , Ahsan Kareem

Addressing real-world optimization challenges requires not only advanced metaheuristics but also continuous refinement of their internal mechanisms. This paper explores the integration of machine learning in the form of neural surrogate…

神经与进化计算 · 计算机科学 2026-03-31 Tomohiro Harada , Enrique Alba , Gabriel Luque

Continuum robots enable dexterous manipulation in constrained environments, but require accurate and efficient models for real-time manipulation and control. Traditional physics-based models can be computationally expensive and may suffer…

机器人学 · 计算机科学 2026-05-20 Branden Frieden , James M. Ferguson , Alan Kuntz , Varun Shankar

Numerical solutions of partial differential equations (PDEs) require expensive simulations, limiting their application in design optimization, model-based control, and large-scale inverse problems. Surrogate modeling techniques seek to…

计算物理 · 物理学 2022-05-18 James Duvall , Karthik Duraisamy , Shaowu Pan

In this work we present a hybrid physics-based and data-driven learning approach to construct surrogate models for concurrent multiscale simulations of complex material behavior. We start from robust but inflexible physics-based…

数值分析 · 数学 2023-02-01 I. B. C. M. Rocha , P. Kerfriden , F. P. van der Meer

Production optimization in stress-sensitive unconventional reservoirs is governed by a nonlinear trade-off between pressure-driven flow and stress-induced degradation of fracture conductivity and matrix permeability. While higher drawdown…

机器学习 · 计算机科学 2026-04-02 Mahammad Valiyev , Jodel Cornelio , Behnam Jafarpour

Surrogate models are used to alleviate the computational burden in engineering tasks, which require the repeated evaluation of computationally demanding models of physical systems, such as the efficient propagation of uncertainties. For…

机器学习 · 统计学 2022-09-28 Felix Schneider , Iason Papaioannou , Gerhard Müller

We consider a class of stochastic programming problems where the implicitly decision-dependent random variable follows a nonparametric regression model with heteroscedastic error. The Clarke subdifferential and surrogate functions are not…

最优化与控制 · 数学 2025-05-13 Boyang Shen , Junyi Liu

This paper proposes a technique for training a neural network by minimizing a surrogate loss that approximates the target evaluation metric, which may be non-differentiable. The surrogate is learned via a deep embedding where the Euclidean…

计算机视觉与模式识别 · 计算机科学 2020-07-20 Yash Patel , Tomas Hodan , Jiri Matas

Solving complex problems requires continuous effort in developing theory and practice to cope with larger, more difficult scenarios. Working with surrogates is normal for creating a proxy that realistically models the problem into the…

神经与进化计算 · 计算机科学 2026-02-10 Tomohiro Harada , Enrique Alba , Gabriel Luque

Partial differential equation (PDE)-constrained optimization arises in many scientific and engineering domains, such as energy systems, fluid dynamics and material design. In these problems, the decision variables (e.g., control inputs or…

机器学习 · 计算机科学 2026-01-21 Yusuf Guven , Vincenzo Di Vito , Ferdinando Fioretto

Design and optimal control problems are among the fundamental, ubiquitous tasks we face in science and engineering. In both cases, we aim to represent and optimize an unknown (black-box) function that associates a performance/outcome to a…

机器学习 · 计算机科学 2021-10-27 Sifan Wang , Mohamed Aziz Bhouri , Paris Perdikaris