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Assessing the safety and environmental impacts of subsurface resource exploitation and management is critical and requires robust geomechanical modeling. However, uncertainties stemming from model assumptions, intrinsic variability of…

数值分析 · 数学 2025-02-19 Caterina Millevoi , Claudia Zoccarato , Massimiliano Ferronato

In complex large-scale systems such as climate, important effects are caused by a combination of confounding processes that are not fully observable. The identification of sources from observations of system state is vital for attribution…

机器学习 · 统计学 2023-03-22 Joseph Hart , Mamikon Gulian , Indu Manickam , Laura Swiler

Bayesian formulations of inverse problems are attractive for their ability to incorporate prior knowledge and update probabilistic models as new data become available. Markov chain Monte Carlo (MCMC) methods sample posterior probability…

地球物理 · 物理学 2025-05-07 Giovanni Angelo Meles , Stefano Marelli , Niklas Linde

In this paper we study the efficacy of combining machine-learning methods with projection-based model reduction techniques for creating data-driven surrogate models of computationally expensive, high-fidelity physics models. Such surrogate…

流体动力学 · 物理学 2022-09-28 Kenny Chowdhary , Chi Hoang , Kookjin Lee , Jaideep Ray

Data assimilation presents computational challenges because many high-fidelity models must be simulated. Various deep-learning-based surrogate modeling techniques have been developed to reduce the simulation costs associated with these…

机器学习 · 计算机科学 2022-12-28 Su Jiang , Louis J. Durlofsky

The determination of accurate bathymetric information is a key element for near offshore activities, hydrological studies such as coastal engineering applications, sedimentary processes, hydrographic surveying as well as archaeological…

计算机视觉与模式识别 · 计算机科学 2020-02-19 Panagiotis Agrafiotis , Dimitrios Skarlatos , Andreas Georgopoulos , Konstantinos Karantzalos

We propose an approximate Bayesian method for quantifying the total uncertainty in inverse PDE solutions obtained with machine learning surrogate models, including operator learning models. The proposed method accounts for uncertainty in…

机器学习 · 计算机科学 2024-08-22 Yuanzhe Wang , Alexandre M. Tartakovsky

We propose a novel data-driven approach for high-resolution bathymetric reconstruction from sidescan. Sidescan sonar (SSS) intensities as a function of range do contain some information about the slope of the seabed. However, that…

机器人学 · 计算机科学 2022-06-17 Yiping Xie , Nils Bore , John Folkesson

Numerical solutions of partial differential equations (PDEs) require expensive simulations, limiting their application in design optimization, model-based control, and large-scale inverse problems. Surrogate modeling techniques seek to…

计算物理 · 物理学 2022-05-18 James Duvall , Karthik Duraisamy , Shaowu Pan

Fast and reliable prediction of riverine flow velocities is important in many applications, including flood risk management. The shallow water equations (SWEs) are commonly used for prediction of the flow velocities. However, accurate and…

Flood hazard assessment demands fast and accurate predictions. Hydrodynamic models are detailed but computationally intensive, making them impractical for quantifying uncertainty or identifying extremes. In contrast, machine learning…

大气与海洋物理 · 物理学 2024-12-02 Marzieh Alireza Mirhoseini

In this contribution we present an accelerated optimization-based approach for combined state and parameter reduction of a parametrized linear control system which is then used as a surrogate model in a Bayesian inverse setting. Following…

最优化与控制 · 数学 2016-08-22 Christian Himpe , Mario Ohlberger

This paper designs surrogate models with uncertainty quantification capabilities to improve the thermal performance of rib-turbulated internal cooling channels effectively. To construct the surrogate, we use the deep operator network…

流体动力学 · 物理学 2023-06-15 Izzet Sahin , Christian Moya , Amirhossein Mollaali , Guang Lin , Guillermo Paniagua

This paper proposes a technique for training a neural network by minimizing a surrogate loss that approximates the target evaluation metric, which may be non-differentiable. The surrogate is learned via a deep embedding where the Euclidean…

计算机视觉与模式识别 · 计算机科学 2020-07-20 Yash Patel , Tomas Hodan , Jiri Matas

Deep learning surrogate modeling shows great promise for subsurface flow applications, but the training demands can be substantial. Here we introduce a new surrogate modeling framework to predict CO2 saturation, pressure and surface…

机器学习 · 计算机科学 2024-08-21 Yifu Han , Francois P. Hamon , Louis J. Durlofsky

Process-based hydrologic models are invaluable tools for understanding the terrestrial water cycle and addressing modern water resources problems. However, many hydrologic models are computationally expensive and, depending on the…

地球物理 · 物理学 2025-02-11 Timothy Dai , Kate Maher , Zach Perzan

The shallow water equations (SWE) model a variety of geophysical flows. Flows in channels with rectangular cross sections may be modelled with a simplified one-dimensional SWE with varying width. Among other model parameters, information…

流体动力学 · 物理学 2021-04-08 Miguel Angel Moreles , Gerardo Hernandez-Duenas , Pedro Gonzalez-Casanova

Coastal planners using probabilistic risk assessments to evaluate structural flood risk reduction projects may wish to simulate the hydrodynamics associated with large suites of tropical cyclones in large ensembles of landscapes: with and…

应用统计 · 统计学 2025-10-16 Mohammad Ahmadi Gharehtoragh , David R Johnson

The standard smooth electrical resistivity tomography inversion produces an estimate of subsurface conductivity that has blurred boundaries, damped magnitudes, and often contains inversion artifacts. In many problems the expected…

地球物理 · 物理学 2021-12-08 Teddi Herring , Lindsey J. Heagy , Adam Pidlisecky , Edwin Cey

Numerical simulations of groundwater flow are used to analyze and predict the response of an aquifer system to its change in state by approximating the solution of the fundamental groundwater physical equations. The most used and classical…

机器学习 · 计算机科学 2022-04-12 Maria Luisa Taccari , Jonathan Nuttall , Xiaohui Chen , He Wang , Bennie Minnema , Peter K. Jimack