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Climate models (CM) are used to evaluate the impact of climate change on the risk of floods and strong precipitation events. However, these numerical simulators have difficulties representing precipitation events accurately, mainly due to…

Computational Engineering, Finance, and Science · Computer Science 2021-02-15 Rilwan Adewoyin , Peter Dueben , Peter Watson , Yulan He , Ritabrata Dutta

Deep Learning research is advancing at a fantastic rate, and there is much to gain from transferring this knowledge to older fields like Computational Fluid Dynamics in practical engineering contexts. This work compares state-of-the-art…

Computational Physics · Physics 2020-10-01 Pierre Jacquier , Azzedine Abdedou , Vincent Delmas , Azzeddine Soulaimani

Artificial intelligence and deep learning are currently reshaping numerical simulation frameworks by introducing new modeling capabilities. These frameworks are extensively investigated in the context of model correction and…

Machine Learning · Computer Science 2023-11-20 Said Ouala , Bertrand Chapron , Fabrice Collard , Lucile Gaultier , Ronan Fablet

Climate models are essential to understand and project climate change, yet long-standing biases and uncertainties in their projections remain. This is largely associated with the representation of subgrid-scale processes, particularly…

Deep Neural Networks (DNNs) are typically trained by backpropagation in a batch learning setting, which requires the entire training data to be made available prior to the learning task. This is not scalable for many real-world scenarios…

Machine Learning · Computer Science 2017-11-13 Doyen Sahoo , Quang Pham , Jing Lu , Steven C. H. Hoi

Efficient downscaling of large ensembles of coarse-scale information is crucial in several applications, such as oceanic and atmospheric modeling. The determining form map is a theoretical lifting function from the low-resolution solution…

Dynamical Systems · Mathematics 2023-10-19 Mohamad Abed El Rahman Hammoud , Edriss S. Titi , Ibrahim Hoteit , Omar Knio

Deep neural networks offer an alternative paradigm for modeling weather conditions. The ability of neural models to make a prediction in less than a second once the data is available and to do so with very high temporal and spatial…

Atmospheric and Oceanic Physics · Physics 2023-07-07 Marcin Andrychowicz , Lasse Espeholt , Di Li , Samier Merchant , Alexander Merose , Fred Zyda , Shreya Agrawal , Nal Kalchbrenner

The success of deep learning techniques over the last decades has opened up a new avenue of research for weather forecasting. Here, we take the novel approach of using a neural network to predict full probability density functions at each…

Machine Learning · Statistics 2022-01-05 Mariana Clare , Omar Jamil , Cyril Morcrette

Deep operator networks (DeepONets) are trained to predict the linear amplification of instability waves in high-speed boundary layers and to perform data assimilation. In contrast to traditional networks that approximate functions,…

Fluid Dynamics · Physics 2021-05-19 P. Clark Di Leoni , L. Lu , C. Meneveau , G. Karniadakis , T. A. Zaki

In recent years, deep learning-based image compression, particularly through generative models, has emerged as a pivotal area of research. Despite significant advancements, challenges such as diminished sharpness and quality in…

Image and Video Processing · Electrical Eng. & Systems 2024-09-18 Ryugo Morita , Hitoshi Nishimura , Ko Watanabe , Andreas Dengel , Jinjia Zhou

We explore the potential of feed-forward deep neural networks (DNNs) for emulating cloud superparameterization in realistic geography, using offline fits to data from the Super Parameterized Community Atmospheric Model. To identify the…

Atmospheric and Oceanic Physics · Physics 2021-06-09 Griffin Mooers , Mike Pritchard , Tom Beucler , Jordan Ott , Galen Yacalis , Pierre Baldi , Pierre Gentine

Nudging is a popular algorithmic strategy in numerical filtering to deal with the problem of inference in high-dimensional dynamical systems. We demonstrate in this paper that general nudging techniques can also tackle another crucial…

Computation · Statistics 2025-05-21 Fabian Gonzalez , O. Deniz Akyildiz , Dan Crisan , Joaquin Miguez

We improve the accuracy of Guidance & Control Networks (G&CNETs), trained to represent the optimal control policies of a time-optimal transfer and a mass-optimal landing, respectively. In both cases we leverage the dynamics of the…

Machine Learning · Computer Science 2024-04-29 Sebastien Origer , Dario Izzo

The last decade has shown a tremendous success in solving various computer vision problems with the help of deep learning techniques. Lately, many works have demonstrated that learning-based approaches with suitable network architectures…

Machine Learning · Computer Science 2019-08-21 Michael Moeller , Thomas Möllenhoff , Daniel Cremers

This paper focuses on the feasibility of Deep Neural Operator (DeepONet) as a robust surrogate modeling method within the context of digital twin (DT) for nuclear energy systems. Through benchmarking and evaluation, this study showcases the…

Machine Learning · Statistics 2024-04-30 Kazuma Kobayashi , Syed Bahauddin Alam

Modern power systems require fast and accurate dynamic simulations for stability assessment, digital twins, and real-time control, but classical ODE solvers are often too slow for large-scale or online applications. We propose a…

Systems and Control · Electrical Eng. & Systems 2025-11-10 Ioannis Karampinis , Petros Ellinas , Johanna Vorwerk , Spyros Chatzivasileiadis

Ground settlement prediction during the process of mechanized tunneling is of paramount importance and remains a challenging research topic. Typically, two paradigms are existing: a physics-driven approach utilizing process-oriented…

Computational Engineering, Finance, and Science · Computer Science 2025-08-07 Chen Xu , Ba Trung Cao , Yong Yuan , Günther Meschke

Forecasts by the European Centre for Medium-Range Weather Forecasts (ECMWF; EC for short) can provide a basis for the establishment of maritime-disaster warning systems, but they contain some systematic biases.The fifth-generation EC…

Atmospheric and Oceanic Physics · Physics 2023-01-04 Wei Zhang , Yueyue Jiang , Junyu Dong , Xiaojiang Song , Renbo Pang , Boyu Guoan , Hui Yu

This work explores the application of deep operator learning principles to a problem in statistical physics. Specifically, we consider the linear kinetic equation, consisting of a differential advection operator and an integral collision…

Numerical Analysis · Mathematics 2024-02-27 Jae Yong Lee , Steffen Schotthöfer , Tianbai Xiao , Sebastian Krumscheid , Martin Frank

Deep Operator Networks (DeepONets) have emerged as a powerful surrogate modeling framework for learning solution operators in PDE-governed systems. While their use is expanding across engineering disciplines, applications in geotechnical…

Machine Learning · Computer Science 2026-03-11 Yongjin Choi , Chenying Liu , Jorge Macedo