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Computer simulations are indispensable for analyzing complex systems, yet high-fidelity models often incur prohibitive computational costs. Multi-fidelity frameworks address this challenge by combining inexpensive low-fidelity simulations…

Methodology · Statistics 2025-10-28 Junoh Heo , Romain Boutelet , Chih-Li Sung

We propose a probabilistic framework for developing computational models of biological neural systems. In this framework, physiological recordings are viewed as discrete-time partial observations of an underlying continuous-time stochastic…

Neurons and Cognition · Quantitative Biology 2026-02-10 Ahmed ElGazzar , Marcel van Gerven

We introduce a data-driven framework for identifying material behavior from full-field kinematics and force measurements in generalized (micromorphic) continua. Unlike traditional approaches that rely on constitutive assumptions or…

Numerical Analysis · Mathematics 2025-12-18 Jacinto Ulloa , Laurent Stainier

Conventional physics-based modeling techniques involve high effort, e.g., time and expert knowledge, while data-driven methods often lack interpretability, structure, and sometimes reliability. To mitigate this, we present a data-driven…

Dynamical Systems · Mathematics 2024-08-19 Johannes Rettberg , Jonas Kneifl , Julius Herb , Patrick Buchfink , Jörg Fehr , Bernard Haasdonk

Although deep learning has achieved impressive advances in transient stability assessment of power systems, the insufficient and imbalanced samples still trap the training effect of the data-driven methods. This paper proposes a…

Machine Learning · Computer Science 2021-12-17 Gengshi Han , Shunyu Liu , Kaixuan Chen , Na Yu , Zunlei Feng , Mingli Song

Aeroelasticity in the transonic regime is challenging because of the strongly nonlinear phenomena involved in the formation of shock waves and flow separation. In this work, we introduce a computationally efficient framework for accurate…

Fluid Dynamics · Physics 2023-04-17 Nicola Fonzi , Steven L. Brunton , Urban Fasel

Integrating probability and nonprobability survey samples is an important problem in modern survey sampling. Nonprobability samples often contain rich outcome information but may lack population representativeness, whereas probability…

Statistics Theory · Mathematics 2026-05-28 Yufang Dai , Shihua Luo , Wendy Lou , Zilin Wang , Xuewen Lu

Advanced LIGO's raw detector output needs to be calibrated to compute dimensionless strain h(t). Calibrated strain data is produced in the time domain using both a low-latency, online procedure and a high-latency, offline procedure. The…

Limited availability of representative time-to-failure (TTF) trajectories either limits the performance of deep learning (DL)-based approaches on remaining useful life (RUL) prediction in practice or even precludes their application.…

Machine Learning · Computer Science 2023-05-09 Jiawei Xiong , Olga Fink , Jian Zhou , Yizhong Ma

Modern machine learning models (such as deep neural networks and boosting decision tree models) have become increasingly popular in financial market prediction, due to their superior capacity to extract complex non-linear patterns. However,…

Machine Learning · Computer Science 2021-02-02 Chuheng Zhang , Yuanqi Li , Xi Chen , Yifei Jin , Pingzhong Tang , Jian Li

Available methods for identification of stochastic dynamical systems from input-output data generally impose restricting structural assumptions on either the noise structure in the data-generating system or the possible state probability…

Systems and Control · Electrical Eng. & Systems 2024-05-02 Gerben I. Beintema , Maarten Schoukens , Roland Tóth

Concurrent multiscale finite element analysis (FE2) is a powerful approach for high-fidelity modeling of materials for which a suitable macroscopic constitutive model is not available. However, the extreme computational effort associated…

Numerical Analysis · Mathematics 2020-07-16 I. B. C. M. Rocha , P. Kerfriden , F. P. van der Meer

Data-free knowledge distillation aims to learn a compact student network from a pre-trained large teacher network without using the original training data of the teacher network. Existing collection-based and generation-based methods train…

Computer Vision and Pattern Recognition · Computer Science 2024-12-19 Jialiang Tang , Shuo Chen , Chen Gong

This study explores the potential of physics-informed neural networks (PINNs) for the realization of digital twins (DT) from various perspectives. First, various adaptive sampling approaches for collocation points are investigated to verify…

Fluid Dynamics · Physics 2024-05-21 Sunwoong Yang , Hojin Kim , Yoonpyo Hong , Kwanjung Yee , Romit Maulik , Namwoo Kang

Research in modern data-driven dynamical systems is typically focused on the three key challenges of high dimensionality, unknown dynamics, and nonlinearity. The dynamic mode decomposition (DMD) has emerged as a cornerstone for modeling…

Fluid Dynamics · Physics 2022-04-27 Peter J. Baddoo , Benjamin Herrmann , Beverley J. McKeon , Steven L. Brunton

Gas-particle flows are commonly simulated through two-fluid model at industrial-scale. However, these simulations need very fine grid to have accurate flow predictions, which is prohibitively demanding in terms of computational resources.…

An $hp$-adaptive continuous Galerkin finite element method is developed to analyze a static anti-plane shear crack embedded in a nonlinear, strain-limiting elastic body. The geometrically linear material is described by a constitutive law…

Numerical Analysis · Mathematics 2025-08-01 S. M. Mallikarjunaiah , Pavithra Venkatachalapthy

This study presents an end-to-end learning framework for data-driven modeling of path-dependent inelastic materials using neural operators. The framework is built on the premise that irreversible evolution of material responses, governed by…

Machine Learning · Computer Science 2025-09-03 Binyao Guo , Zihan Lin , QiZhi He

In the present work, a hyperelastic constitutive model based on neural networks is proposed which fulfills all common constitutive conditions by construction, and in particular, is applicable to compressible material behavior. Using…

Computational Engineering, Finance, and Science · Computer Science 2023-07-07 Lennart Linden , Dominik K. Klein , Karl A. Kalina , Jörg Brummund , Oliver Weeger , Markus Kästner

The increasing use of deep learning across various domains highlights the importance of understanding the decision-making processes of these black-box models. Recent research focusing on the decision boundaries of deep classifiers, relies…

Machine Learning · Computer Science 2024-08-13 Inês Gomes , Luís F. Teixeira , Jan N. van Rijn , Carlos Soares , André Restivo , Luís Cunha , Moisés Santos