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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…

数值分析 · 数学 2025-04-24 J. Storm , W. Sun , I. B. C. M. Rocha , F. P. van der Meer

Industry 4.0 targets the conversion of the traditional industries into intelligent ones through technological revolution. This revolution is only possible through innovation, optimization, interconnection, and rapid decision-making…

机器学习 · 计算机科学 2022-10-17 M. Rahman , Abid Khan , Sayeed Anowar , Md Al-Imran , Richa Verma , Dinesh Kumar , Kazuma Kobayashi , Syed Alam

Reliability-based design optimization (RBDO) is an active field of research with an ever increasing number of contributions. Numerous methods have been proposed for the solution of RBDO, a complex problem that combines optimization and…

统计方法学 · 统计学 2019-01-11 M. Moustapha , B. Sudret

Data-driven surrogate models are widely used for applications such as design optimization and uncertainty quantification, where repeated evaluations of an expensive simulator are required. For most partial differential equation (PDE)…

计算物理 · 物理学 2019-10-18 Wei Xing , Robert M. Kirby , Shandian Zhe

Objective: Deep learning-based deformable image registration has achieved strong accuracy, but remains sensitive to variations in input image characteristics such as artifacts, field-of-view mismatch, or modality difference. We aim to…

计算机视觉与模式识别 · 计算机科学 2025-09-15 Yihao Liu , Junyu Chen , Lianrui Zuo , Shuwen Wei , Brian D. Boyd , Carmen Andreescu , Olusola Ajilore , Warren D. Taylor , Aaron Carass , Bennett A. Landman

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…

最优化与控制 · 数学 2025-09-08 Jonathan R. Cangelosi , Matthias Heinkenschloss

The requirement for identifying accurate system representations has not only been a challenge to fulfill, but it has compromised the scalability of formal methods, as the resulting models are often too complex for effective decision making…

系统与控制 · 电气工程与系统科学 2025-10-20 Oliver Schön , Sofie Haesaert , Sadegh Soudjani

AI-assisted molecular optimization is a very active research field as it is expected to provide the next-generation drugs and molecular materials. An important difficulty is that the properties to be optimized rely on costly evaluations.…

机器学习 · 计算机科学 2025-05-19 Jules Leguy , Thomas Cauchy , Beatrice Duval , Benoit Da Mota

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

This paper presents a novel methodology for tractably solving optimal control and offline reinforcement learning problems for high-dimensional systems. This work is motivated by the ongoing challenges of safety, computation, and optimality…

最优化与控制 · 数学 2022-07-06 Aaron Kandel , Saehong Park , Scott Moura

Image-based computational fluid dynamics (CFD) modeling enables derivation of hemodynamic information, which has become a paradigm in cardiovascular research and healthcare. Nonetheless, the predictive accuracy largely depends on precisely…

流体动力学 · 物理学 2021-07-20 Han Gao , Xueyu Zhu , Jian-Xun Wang

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

The need to rapidly solve PDEs in engineering design workflows has spurred the rise of neural surrogate models. In particular, neural operator models provide a discretization-invariant surrogate by retaining the infinite-dimensional,…

机器学习 · 计算机科学 2026-02-12 Yash Patel , Ambuj Tewari

In recent decades, the main focus of computer modeling has been on supporting the design and development of engineering prototyes, but it is now ubiquitous in non-traditional areas such as medical rehabilitation. Conventional modeling…

机器学习 · 计算机科学 2024-09-13 Jonas Kneifl , David Rosin , Oliver Röhrle , Jörg Fehr

Global optimization of black-box functions is challenging in high dimensions. We introduce a conceptual adaptive random search framework, Branching Adaptive Surrogate Search Optimization (BASSO), that combines partitioning and surrogate…

最优化与控制 · 数学 2025-04-28 Pariyakorn Maneekul , Zelda B. Zabinsky , Giulia Pedrielli

An adaptation of Response Surface Methodology (RSM) when the covariate is of high or infinite dimensional is proposed, providing a tool for black-box optimization in this context. We combine dimension reduction techniques with classical…

统计理论 · 数学 2015-11-19 Angelina Roche

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…

机器学习 · 统计学 2021-03-17 Maximilian Rixner , Phaedon-Stelios Koutsourelakis

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

We propose a new uncertainty estimator for gradient-free optimisation of black-box simulators using deep generative surrogate models. Optimisation of these simulators is especially challenging for stochastic simulators and higher…

机器学习 · 计算机科学 2024-11-05 Tigran Ramazyan , Mikhail Hushchyn , Denis Derkach

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