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Physics informed neural networks (PINNs) have emerged as a powerful tool to provide robust and accurate approximations of solutions to partial differential equations (PDEs). However, PINNs face serious difficulties and challenges when…

Machine Learning · Computer Science 2023-07-11 Rajat Arora

We propose a new method to tackle the mapping challenge from time-series data to spatial image in the field of seismic exploration, i.e., reconstructing the velocity model directly from seismic data by deep neural networks (DNNs). The…

Computer Vision and Pattern Recognition · Computer Science 2020-06-29 Shucai Li , Bin Liu , Yuxiao Ren , Yangkang Chen , Senlin Yang , Yunhai Wang , Peng Jiang

Physics-based numerical models have been the bedrock of atmospheric sciences for decades, offering robust solutions but often at the cost of significant computational resources. Deep learning (DL) models have emerged as powerful tools in…

This paper introduces a novel approach to solve inverse problems by leveraging deep learning techniques. The objective is to infer unknown parameters that govern a physical system based on observed data. We focus on scenarios where the…

Machine Learning · Computer Science 2023-10-02 Sidney Besnard , Frédéric Jurie , Jalal M. Fadili

Deep kernel learning is a promising combination of deep neural networks and nonparametric function learning. However, as a data driven approach, the performance of deep kernel learning can still be restricted by scarce or insufficient data,…

Machine Learning · Statistics 2022-01-20 Zheng Wang , Wei Xing , Robert Kirby , Shandian Zhe

We present a novel physics-informed deep learning framework for solving steady-state incompressible flow on multiple sets of irregular geometries by incorporating two main elements: using a point-cloud based neural network to capture…

Fluid Dynamics · Physics 2022-10-28 Ali Kashefi , Tapan Mukerji

Extracting subsurface velocity information from seismic data is mainly an undetermined problem that requires injecting a priori information to constrain the inversion process. Machine learning has offered a platform to do so through the…

Geophysics · Physics 2025-10-03 Xiao Ma , Shaowen Wang , Tariq Alkhalifah

Assessing the predictive uncertainty of deep neural networks is crucial for safety-related applications of deep learning. Although Bayesian deep learning offers a principled framework for estimating model uncertainty, the common approaches…

Machine Learning · Computer Science 2024-03-06 Yookoon Park , David M. Blei

Bayesian Deep Learning (BDL) gives access not only to aleatoric uncertainty, as standard neural networks already do, but also to epistemic uncertainty, a measure of confidence a model has in its own predictions. In this article, we show…

Machine Learning · Statistics 2024-07-03 Mohammed Fellaji , Frédéric Pennerath

Traffic state estimation (TSE), which reconstructs the traffic variables (e.g., density) on road segments using partially observed data, plays an important role on efficient traffic control and operation that intelligent transportation…

Machine Learning · Computer Science 2021-01-19 Rongye Shi , Zhaobin Mo , Kuang Huang , Xuan Di , Qiang Du

Physics-informed machine learning (PIML) is an emerging framework that integrates physical knowledge into machine learning models. This physical prior often takes the form of a partial differential equation (PDE) system that the regression…

Machine Learning · Statistics 2025-07-15 Nathan Doumèche

Uncertainty-aware deep learning (DL) models recently gained attention in fault diagnosis as a way to promote the reliable detection of faults when out-of-distribution (OOD) data arise from unseen faults (epistemic uncertainty) or the…

Machine Learning · Computer Science 2024-12-30 Reza Jalayer , Masoud Jalayer , Andrea Mor , Carlotta Orsenigo , Carlo Vercellis

Physics-informed neural networks (PINNs) have recently emerged as an alternative way of solving partial differential equations (PDEs) without the need of building elaborate grids, instead, using a straightforward implementation. In…

Analysis of PDEs · Mathematics 2019-09-04 Dongkun Zhang , Lu Lu , Ling Guo , George Em Karniadakis

While computer science has seen remarkable advancements in foundation models, which remain underexplored in geoscience. Addressing this gap, we introduce a workflow to develop geophysical foundation models, including data preparation, model…

Geophysics · Physics 2023-12-18 Hanlin Sheng , Xinming Wu , Xu Si , Jintao Li , Sibo Zhang , Xudong Duan

Despite their ubiquity, the rich physics present in a plasma sheath has inhibited the development of a generally applicable description of this critical region. The present study utilizes a physics-informed neural network (PINN) to evaluate…

Plasma Physics · Physics 2026-04-27 Ethan Webb , Yuzhi Li , Christopher McDevitt

The use of machine learning in fluid dynamics is becoming more common to expedite the computation when solving forward and inverse problems of partial differential equations. Yet, a notable challenge with existing convolutional neural…

Fluid Dynamics · Physics 2024-05-10 Siming Shan , Pengkai Wang , Song Chen , Jiaxu Liu , Chao Xu , Shengze Cai

We introduce ProPanDL, a family of networks capable of uncertainty-aware panoptic segmentation. Unlike existing segmentation methods, ProPanDL is capable of estimating full probability distributions for both the semantic and spatial aspects…

Computer Vision and Pattern Recognition · Computer Science 2023-04-19 Jacob Deery , Chang Won Lee , Steven Waslander

This study presents a comprehensive framework for modelling earthquake-induced landslides (EQILs) through a channel-based analysis of landslide centroid distributions. A key innovation is the incorporation of the normalised channel…

Applications · Statistics 2025-07-14 Man Ho Suen , Mark Naylor , Simon Mudd , Finn Lindgren

Simulations of complex turbulent flow are part and parcel of the engineering design process. Eddy viscosity based turbulence models represent the workhorse for these simulations. The underlying simplifications in eddy viscosity models make…

Fluid Dynamics · Physics 2024-05-15 Minghan Chu , Weicheng Qian

We propose LiDAL, a novel active learning method for 3D LiDAR semantic segmentation by exploiting inter-frame uncertainty among LiDAR frames. Our core idea is that a well-trained model should generate robust results irrespective of…

Computer Vision and Pattern Recognition · Computer Science 2022-11-14 Zeyu Hu , Xuyang Bai , Runze Zhang , Xin Wang , Guangyuan Sun , Hongbo Fu , Chiew-Lan Tai