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Falsification of hybrid dynamical systems remains challenging due to mode-dependent dynamics and discrete transitions. In this work, we propose a surrogate-based falsification approach that enables hybrid systems by learning a…

系统与控制 · 电气工程与系统科学 2026-05-11 Lasse Kötz , Knut Åkesson

Surrogate Neural Networks are nowadays routinely used in industry as substitutes for computationally demanding engineering simulations (e.g., in structural analysis). They allow to generate faster predictions and thus analyses in industrial…

Neural Ordinary Differential Equations (NODEs) are a new class of models that transform data continuously through infinite-depth architectures. The continuous nature of NODEs has made them particularly suitable for learning the dynamics of…

机器学习 · 计算机科学 2020-10-22 Alexander Norcliffe , Cristian Bodnar , Ben Day , Nikola Simidjievski , Pietro Liò

Deep neural networks (DNN) have been used to model nonlinear relations between physical quantities. Those DNNs are embedded in physical systems described by partial differential equations (PDE) and trained by minimizing a loss function that…

数值分析 · 数学 2020-02-26 Kailai Xu , Eric Darve

Artificial Neural Networks (NNWs) are appealing functions to substitute high dimensional and non-linear history-dependent problems in computational mechanics since they offer the possibility to drastically reduce the computational time.…

计算工程、金融与科学 · 计算机科学 2023-10-11 Ling Wu , Ludovic Noels

Surrogate models for the rapid inference of nonlinear boundary value problems in mechanics are helpful in a broad range of engineering applications. However, effective surrogate modeling of applications involving the contact of deformable…

计算工程、金融与科学 · 计算机科学 2025-07-21 Vijay K. Dubey , Collin E. Haese , Osman Gültekin , David Dalton , Manuel K. Rausch , Jan N. Fuhg

When deep learning is applied to visual object recognition, data augmentation is often used to generate additional training data without extra labeling cost. It helps to reduce overfitting and increase the performance of the algorithm. In…

计算机视觉与模式识别 · 计算机科学 2014-02-18 Alexey Dosovitskiy , Jost Tobias Springenberg , Thomas Brox

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

Surrogate modeling of non-linear oscillator networks remains challenging due to discrepancies between simplified analytical models and real-world complexity. To bridge this gap, we investigate hybrid reservoir computing, combining reservoir…

系统与控制 · 电气工程与系统科学 2025-05-20 Andrew Shannon , Conor Houghton , David Barton , Martin Homer

Although neural operators are widely used in data-driven physical simulations, their training remains computationally expensive. Recent advances address this issue via downstream learning, where a model pretrained on simpler problems is…

机器学习 · 计算机科学 2025-11-17 Mikhail Masliaev , Dmitry Gusarov , Ilya Markov , Alexander Hvatov

Not being able to understand and predict the behavior of deep learning systems makes it hard to decide what architecture and algorithm to use for a given problem. In science and engineering, modeling is a methodology used to understand…

机器学习 · 计算机科学 2023-09-15 Michael Y. Li , Erin Grant , Thomas L. Griffiths

We present an approach for constructing a surrogate from ensembles of information sources of varying cost and accuracy. The multifidelity surrogate encodes connections between information sources as a directed acyclic graph, and is trained…

机器学习 · 计算机科学 2021-08-25 Alex Gorodetsky , John D. Jakeman , Gianluca Geraci

The growing use of composite materials in engineering applications has accelerated the demand for computational methods to accurately predict their complex behavior. Multiscale modeling based on computational homogenization is a potentially…

Molecular dynamics simulations are powerful tools to extract the microscopic mechanisms characterizing the properties of soft materials. We recently introduced machine learning surrogates for molecular dynamics simulations of soft materials…

软凝聚态物质 · 物理学 2021-10-29 J. C. S. Kadupitiya , Nasim Anousheh , Vikram Jadhao

Modeling is crucial to understanding the effect of greenhouse gases, warming, and ice sheet melting on the ocean. At the same time, ocean processes affect phenomena such as hurricanes and droughts. Parameters in the models that cannot be…

AI-driven surrogate modeling has become an increasingly effective alternative to physics-based simulations for 3D design, analysis, and manufacturing. These models leverage data-driven methods to predict physical quantities traditionally…

机器学习 · 计算机科学 2025-05-06 Yu-hsuan Chen , Jing Bi , Cyril Ngo Ngoc , Victor Oancea , Jonathan Cagan , Levent Burak Kara

Accurate modeling of physical systems governed by partial differential equations is a central challenge in scientific computing. In oceanography, high-resolution current data are critical for coastal management, environmental monitoring,…

机器学习 · 计算机科学 2025-10-21 Abdessamad El-Kabid , Loubna Benabbou , Redouane Lguensat , Alex Hernández-García

Continuous high frequency water quality monitoring is becoming a critical task to support water management. Despite the advancements in sensor technologies, certain variables cannot be easily and/or economically monitored in-situ and in…

机器学习 · 计算机科学 2020-01-28 María Castrillo , Álvaro López García

In the field of surrogate modeling, polynomial chaos expansion (PCE) allows practitioners to construct inexpensive yet accurate surrogates to be used in place of the expensive forward model simulations. For black-box simulations,…

In this paper we introduce a novel way of estimating prediction uncertainty in deep networks through the use of uncertainty surrogates. These surrogates are features of the penultimate layer of a deep network that are forced to match…

机器学习 · 计算机科学 2021-04-19 Radhakrishna Achanta , Natasa Tagasovska