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We present a framework for automatically structuring and training fast, approximate, deep neural surrogates of stochastic simulators. Unlike traditional approaches to surrogate modeling, our surrogates retain the interpretable structure and…

We consider the use of probabilistic neural networks for fluid flow {surrogate modeling} and data recovery. This framework is constructed by assuming that the target variables are sampled from a Gaussian distribution conditioned on the…

Fluid Dynamics · Physics 2020-10-14 Romit Maulik , Kai Fukami , Nesar Ramachandra , Koji Fukagata , Kunihiko Taira

Not being able to understand and predict the behavior of deep learning systems makes it hard to decide what architecture and algorithm to use for a given problem. In science and engineering, modeling is a methodology used to understand…

Machine Learning · Computer Science 2023-09-15 Michael Y. Li , Erin Grant , Thomas L. Griffiths

The prediction of tropical rain rates from atmospheric profiles poses significant challenges, mainly due to the heavy-tailed distribution exhibited by tropical rainfall. This study introduces over-parameterized neural networks not only to…

Atmospheric and Oceanic Physics · Physics 2024-02-22 Hojun You , Jiayi Wang , Raymond K. W. Wong , Courtney Schumacher , R. Saravanan , Mikyoung Jun

A central challenge in climate science and applied mathematics is developing data-driven models of multiscale systems that capture both stationary statistics and responses to external perturbations. Current neural climate emulators aim to…

Chaotic Dynamics · Physics 2026-01-27 Fabrizio Falasca

Subgrid processes in global climate models are represented by parameterizations which are a major source of uncertainties in simulations of climate. In recent years, it has been suggested that machine-learning (ML) parameterizations based…

Atmospheric and Oceanic Physics · Physics 2022-12-27 Peidong Wang , Janni Yuval , Paul A. O'Gorman

Merchant shipping is responsible for more than 90% of the global trade and has a significant environmental impact, accounting for over 2% of global greenhouse gas emissions. Therefore, fuel-saving measures are becoming increasingly…

Fluid Dynamics · Physics 2025-05-12 Malte Loft , Henning Schwarz , Thomas Rung

Machine learning methods are increasingly used to build computationally inexpensive surrogates for complex physical models. The predictive capability of these surrogates suffers when data are noisy, sparse, or time-dependent. As we are…

Machine Learning · Computer Science 2024-05-20 A. Diaw , M. McKerns , I. Sagert , L. G. Stanton , M. S. Murillo

The entry phase constitutes a design driver for aerospace systems that include such a critical step. This phase is characterized by hypersonic flows encompassing multiscale phenomena that require advanced modeling capabilities. However,…

Parameter identification for marine ecosystem models is important for the assessment and validation of marine ecosystem models against observational data. The surrogate-based optimization (SBO) is a computationally efficient method to…

Atmospheric and Oceanic Physics · Physics 2021-12-01 Markus Pfeil , Thomas Slawig

We present a combined numerical and data-driven workflow for efficient prediction of nonlinear, instationary convection-diffusion-reaction dynamics on a two-dimensional phenotypic domain, motivated by macroscopic modeling of cancer cell…

Computational Engineering, Finance, and Science · Computer Science 2026-02-02 Michael Urs Lars Kastor , Jan Rottmayer , Anna Hundertmark , Nicolas Ralph Gauger

While complex simulations of physical systems have been widely used in engineering and scientific computing, lowering their often prohibitive computational requirements has only recently been tackled by deep learning approaches. In this…

Numerical Analysis · Mathematics 2023-10-26 Chuanbo Hua , Federico Berto , Michael Poli , Stefano Massaroli , Jinkyoo Park

Improving predictive understanding of Earth system variability and change requires data-model integration. Efficient data-model integration for complex models requires surrogate modeling to reduce model evaluation time. However, building a…

Machine Learning · Statistics 2019-01-17 Dan Lu , Daniel Ricciuto

As acute climate change impacts weather and climate variability, there is increased demand for robust climate impact model predictions from which forecasts of the impacts can be derived. The quality of those predictions are limited by the…

Machine Learning · Computer Science 2022-04-13 Julian Kuehnert , Deborah McGlynn , Sekou L. Remy , Aisha Walcott-Bryant , Anne Jones

Inference on unknown quantities in dynamical systems via observational data is essential for providing meaningful insight, furnishing accurate predictions, enabling robust control, and establishing appropriate designs for future…

Methodology · Statistics 2018-02-06 M. Chung , M. Binois , R. B. Gramacy , D. J. Moquin , A. P. Smith , A. M. Smith

Climate models are complicated software systems that approximate atmospheric and oceanic fluid mechanics at a coarse spatial resolution. Typical climate forecasts only explicitly resolve processes larger than 100 km and approximate any…

In this work we propose a deep neural network based surrogate model for a plasma shadowgraph - a technique for visualization of perturbations in a transparent medium. We are substituting the numerical code by a computationally cheaper…

Computational models are utilized in many scientific domains to simulate complex systems. Sensitivity analysis is an important practice to aid our understanding of the mechanics of these models and the processes they describe, but…

Methodology · Statistics 2022-08-12 Massimo Aufiero , Lucas Janson

We present a framework for inferring an atmospheric transmission profile from a spectral scene. This framework leverages a lightweight, physics-based simulator that is automatically tuned - by virtue of autodifferentiation and…

Machine Learning · Computer Science 2024-05-01 James Koch , Brenda Forland , Bruce Bernacki , Timothy Doster , Tegan Emerson

Sea level change, one of the most dire impacts of anthropogenic global warming, will affect a large amount of the world's population. However, sea level change is not uniform in time and space, and the skill of conventional prediction…

Computer Vision and Pattern Recognition · Computer Science 2017-10-20 Anne Braakmann-Folgmann , Ribana Roscher , Susanne Wenzel , Bernd Uebbing , Jürgen Kusche