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Machine Learning surrogates for Computational Fluid Dynamics (CFD), particularly Graph Neural Networks (GNNs) and Transformers, have become a new important approach for accelerating physics simulations. However, we identify a critical…

Machine Learning · Computer Science 2026-05-05 Paul Garnier , Vincent Lannelongue , Elie Hachem

Neural networks (NNs) are often used as surrogates or emulators of partial differential equations (PDEs) that describe the dynamics of complex systems. A virtually negligible computational cost of such surrogates renders them an attractive…

Numerical Analysis · Mathematics 2021-05-04 Dong H. Song , Daniel M. Tartakovsky

We describe and analyze a hybrid finite element/neural network method for predicting solutions of partial differential equations. The methodology is designed for obtaining fine scale fluctuations from neural networks in a local manner. The…

Numerical Analysis · Mathematics 2026-02-24 Uladzislau Kapustsin , Utku Kaya , Johannes Pfefferer , Thomas Richter

Many physics and engineering applications demand Partial Differential Equations (PDE) property evaluations that are traditionally computed with resource-intensive high-fidelity numerical solvers. Data-driven surrogate models provide an…

Machine Learning · Computer Science 2023-12-18 Raphaël Pestourie , Youssef Mroueh , Chris Rackauckas , Payel Das , Steven G. Johnson

Discovering the underlying behavior of complex systems is an important topic in many science and engineering disciplines. In this paper, we propose a novel neural network framework, finite difference neural networks (FDNet), to learn…

Machine Learning · Statistics 2020-06-04 Zheng Shi , Nur Sila Gulgec , Albert S. Berahas , Shamim N. Pakzad , Martin Takáč

Faster inference of deep learning models is highly demanded on edge devices and even servers, for both financial and environmental reasons. To address this issue, we propose SoftNeuro, a novel, high-performance inference framework with…

Machine Learning · Computer Science 2021-10-13 Masaki Hilaga , Yasuhiro Kuroda , Hitoshi Matsuo , Tatsuya Kawaguchi , Gabriel Ogawa , Hiroshi Miyake , Yusuke Kozawa

This work presents a non-intrusive surrogate modeling scheme based on machine learning technology for predictive modeling of complex systems, described by parametrized time-dependent PDEs. For these problems, typical finite element…

Numerical Analysis · Mathematics 2021-04-26 Stefanos Nikolopoulos , Ioannis Kalogeris , Vissarion Papadopoulos

Metal forging is used to manufacture dies. We require the best set of input parameters for the process to be efficient. Currently, we predict the best parameters using the finite element method by generating simulations for the different…

Machine Learning · Computer Science 2023-10-24 Shwetha Salimath , Francesca Bugiotti , Frederic Magoules

Decision-making under uncertainty in energy management is complicated by unknown parameters hindering optimal strategies, particularly in Battery Energy Storage System (BESS) operations. Predict-Then-Optimise (PTO) approaches treat…

This work introduces a hybrid approach that combines the Proper Generalised Decomposition (PGD) with deep learning techniques to provide real-time solutions for parametrised mechanics problems. By relying on a tensor decomposition, the…

Computational Physics · Physics 2025-09-03 Alexandre Daby-Seesaram , Kateřina Škardová , Martin Genet

We focus on the problem of estimating the change in the dependency structures of two $p$-dimensional Gaussian Graphical models (GGMs). Previous studies for sparse change estimation in GGMs involve expensive and difficult non-smooth…

Machine Learning · Computer Science 2018-05-24 Beilun Wang , Arshdeep Sekhon , Yanjun Qi

A well-established approach for inferring full displacement and stress fields from possibly sparse data is to calibrate the parameter of a given constitutive model using a Bayesian update. After calibration, a (stochastic) forward…

Computational Engineering, Finance, and Science · Computer Science 2023-08-09 Vahab B. Narouie , Henning Wessels , Ulrich Römer

Training deep learning models, particularly Transformer-based architectures such as Large Language Models (LLMs), demands substantial computational resources and extended training periods. While optimal configuration and infrastructure…

Machine Learning · Computer Science 2024-12-30 Alireza Pourali , Arian Boukani , Hamzeh Khazaei

Despite their continued popularity, categorical approaches to affect recognition have limitations, especially in real-life situations. Dimensional models of affect offer important advantages for the recognition of subtle expressions and…

Computer Vision and Pattern Recognition · Computer Science 2021-06-16 Vassilios Vonikakis , Stefan Winkler

For many IoT domains, Machine Learning and more particularly Deep Learning brings very efficient solutions to handle complex data and perform challenging and mostly critical tasks. However, the deployment of models in a large variety of…

Cryptography and Security · Computer Science 2021-05-05 Mathieu Dumont , Pierre-Alain Moellic , Raphael Viera , Jean-Max Dutertre , Rémi Bernhard

For ensuring vehicle safety, the impact performance of wheels during wheel development must be ensured through a wheel impact test. However, manufacturing and testing a real wheel requires a significant time and money because developing an…

Machine Learning · Computer Science 2022-12-20 Seungyeon Shin , Ah-hyeon Jin , Soyoung Yoo , Sunghee Lee , ChangGon Kim , Sungpil Heo , Namwoo Kang

Accurate simulation of brain deformation is a key component for developing realistic, interactive neurosurgical simulators, as complex nonlinear deformations must be captured to ensure realistic tool-tissue interactions. However,…

We propose a novel pitch estimation technique called DeepF0, which leverages the available annotated data to directly learns from the raw audio in a data-driven manner. F0 estimation is important in various speech processing and music…

Audio and Speech Processing · Electrical Eng. & Systems 2021-02-15 Satwinder Singh , Ruili Wang , Yuanhang Qiu

Modeling complex systems using standard neural ordinary differential equations (NODEs) often faces some essential challenges, including high computational costs and susceptibility to local optima. To address these challenges, we propose a…

Machine Learning · Computer Science 2024-05-24 Xin Li , Jingdong Zhang , Qunxi Zhu , Chengli Zhao , Xue Zhang , Xiaojun Duan , Wei Lin

Federated Edge Learning (FEEL) emerges as a pioneering distributed machine learning paradigm for the 6G Hyper-Connectivity, harnessing data from the Internet of Things (IoT) devices while upholding data privacy. However, current FEEL…

Machine Learning · Computer Science 2024-12-10 Gang Hu , Yinglei Teng , Nan Wang , Zhu Han