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Big-data-based artificial intelligence (AI) supports profound evolution in almost all of science and technology. However, modeling and forecasting multi-physical systems remain a challenge due to unavoidable data scarcity and noise.…

Machine Learning · Computer Science 2022-02-08 Pengpeng Shi , Zhi Zeng , Tianshou Liang

Physics-informed neural networks (PINNs) have been proposed to solve two main classes of problems: data-driven solutions and data-driven discovery of partial differential equations. This task becomes prohibitive when such data is highly…

Machine Learning · Computer Science 2022-10-20 Wei Peng , Wen Yao , Weien Zhou , Xiaoya Zhang , Weijie Yao

This paper proposes a new topology optimization method that applies a convolutional neural network (CNN), which is one deep learning technique for topology optimization problems. Using this method, we acquire a structure with a little…

Machine Learning · Computer Science 2020-01-06 Yusuke Takahashi , Yoshiro Suzuki , Akira Todoroki

Localization of unknown faults in industrial systems is a difficult task for data-driven diagnosis methods. The classification performance of many machine learning methods relies on the quality of training data. Unknown faults, for example…

Signal Processing · Electrical Eng. & Systems 2019-10-15 Daniel Jung

Two dimensional (2D) peak finding is a common practice in data analysis for physics experiments, which is typically achieved by computing the local derivatives. However, this method is inherently unstable when the local landscape is…

Data Analysis, Statistics and Probability · Physics 2020-04-22 Han Peng , Xiang Gao , Yu He , Yiwei Li , Yuchen Ji , Chuhang Liu , Sandy A. Ekahana , Ding Pei , Zhongkai Liu , Zhixun Shen , Yulin Chen

Recently, the advent of deep learning has spurred interest in the development of physics-informed neural networks (PINN) for efficiently solving partial differential equations (PDEs), particularly in a parametric setting. Among all…

Image and Video Processing · Electrical Eng. & Systems 2021-07-20 Han Gao , Luning Sun , Jian-Xun Wang

Fault detection in rotating machinery is a complex task, particularly in small and heterogeneous dataset scenarios. Variability in sensor placement, machinery configurations, and structural differences further increase the complexity of the…

Machine Learning · Computer Science 2025-03-25 Praveen Chopra , Himanshu Kumar , Sandeep Yadav

Convolutional neural networks (CNNs) can potentially provide powerful tools for classifying and identifying patterns in climate and environmental data. However, because of the inherent complexities of such data, which are often…

Atmospheric and Oceanic Physics · Physics 2020-03-03 Ashesh Chattopadhyay , Pedram Hassanzadeh , Saba Pasha

Recent work in scientific machine learning has developed so-called physics-informed neural network (PINN) models. The typical approach is to incorporate physical domain knowledge as soft constraints on an empirical loss function and use…

Machine Learning · Computer Science 2021-11-12 Aditi S. Krishnapriyan , Amir Gholami , Shandian Zhe , Robert M. Kirby , Michael W. Mahoney

Convolutional Neural Networks (CNNs) have recently emerged as the dominant model in computer vision. If provided with enough training data, they predict almost any visual quantity. In a discrete setting, such as classification, CNNs are not…

Computer Vision and Pattern Recognition · Computer Science 2015-11-25 Deepak Pathak , Philipp Krähenbühl , Stella X. Yu , Trevor Darrell

Whilst the partial differential equations that govern the dynamics of our world have been studied in great depth for centuries, solving them for complex, high-dimensional conditions and domains still presents an incredibly large…

Machine Learning · Computer Science 2023-03-07 Edward Small

Traditional anomaly detection techniques onboard satellites are based on reliable, yet limited, thresholding mechanisms which are designed to monitor univariate signals and trigger recovery actions according to specific European Cooperation…

Systems and Control · Electrical Eng. & Systems 2025-07-16 Riccardo Gallon , Fabian Schiemenz , Alessandra Menicucci , Eberhard Gill

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…

Numerical Analysis · Mathematics 2020-02-26 Kailai Xu , Eric Darve

Graph convolutional neural networks (GCNs) generalize tradition convolutional neural networks (CNNs) from low-dimensional regular graphs (e.g., image) to high dimensional irregular graphs (e.g., text documents on word embeddings). Due to…

Machine Learning · Computer Science 2021-03-30 Mehrnaz Najafi , Philip S. Yu

Fluid dynamics spans phenomena from the Cheerios effect to cosmic evolution and has been called the 'queen mother' of science. Traditional modelling relies on numerical methods, including finite differences, volumes, and elements, that…

Fluid Dynamics · Physics 2026-04-09 Kwame Agyei-Baah , Muhammad Rizwanur Rahman , E. R. Smith

In the analysis of complex physical systems, the objective often extends beyond merely computing a numerical solution to capturing the precise crossover between different regimes and extracting parameters containing meaningful information.…

Machine Learning · Computer Science 2026-01-26 Doyoung Kim , Donghee Lee , Hye-Sung Lee , Jiheon Lee , Jaeok Yi

Recent work in deep learning focuses on solving physical systems in the Ordinary Differential Equation or Partial Differential Equation. This current work proposed a variant of Convolutional Neural Networks (CNNs) that can learn the hidden…

Machine Learning · Computer Science 2021-11-02 Mansura Habiba , Barak A. Pearlmutter

Deep learning techniques have become prominent in modern fault diagnosis for complex processes. In particular, convolutional neural networks (CNNs) have shown an appealing capacity to deal with multivariate time-series data by converting…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Saif S. S. Al-Wahaibi , Qiugang Lu

Due to their high energy intensity, buildings play a major role in the current worldwide energy transition. Building models are ubiquitous since they are needed at each stage of the life of buildings, i.e. for design, retrofitting, and…

Machine Learning · Computer Science 2022-07-12 Loris Di Natale , Bratislav Svetozarevic , Philipp Heer , Colin N. Jones

With more and more data being collected, data-driven modeling methods have been gaining in popularity in recent years. While physically sound, classical gray-box models are often cumbersome to identify and scale, and their accuracy might be…

Machine Learning · Computer Science 2023-04-05 Loris Di Natale , Bratislav Svetozarevic , Philipp Heer , Colin Neil Jones