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A deep-learning-based surrogate model is developed and applied for predicting dynamic subsurface flow in channelized geological models. The surrogate model is based on deep convolutional and recurrent neural network architectures,…

机器学习 · 计算机科学 2020-05-20 Meng Tang , Yimin Liu , Louis J. Durlofsky

Numerical models based on physics represent the state-of-the-art in earth system modeling and comprise our best tools for generating insights and predictions. Despite rapid growth in computational power, the perceived need for higher model…

机器学习 · 计算机科学 2022-01-10 Kate Duffy , Thomas Vandal , Weile Wang , Ramakrishna Nemani , Auroop R. Ganguly

The idea of using machine learning (ML) methods to reconstruct the dynamics of a system is the topic of recent studies in the geosciences, in which the key output is a surrogate model meant to emulate the dynamical model. In order to treat…

机器学习 · 统计学 2021-09-22 Alban Farchi , Patrick Laloyaux , Massimo Bonavita , Marc Bocquet

High-fidelity numerical simulations of chaotic, high dimensional nonlinear dynamical systems are computationally expensive, necessitating the development of efficient surrogate models. Most surrogate models for such systems are…

机器学习 · 计算机科学 2026-03-16 Dibyajyoti Chakraborty , Hojin Kim , Romit Maulik

Accurate interpolation of seismic data is crucial for improving the quality of imaging and interpretation. In recent years, deep learning models such as U-Net and generative adversarial networks have been widely applied to seismic data…

Many real-world systems are modelled using complex ordinary differential equations (ODEs). However, the dimensionality of these systems can make them challenging to analyze. Dimensionality reduction techniques like Proper Orthogonal…

计算工程、金融与科学 · 计算机科学 2025-02-26 Abhishek Ajayakumar , Soumyendu Raha

The dominant paradigm for power system dynamic simulation is to build system-level simulations by combining physics-based models of individual components. The sheer size of the system along with the rapid integration of inverter-based…

系统与控制 · 电气工程与系统科学 2024-10-24 Matthew Bossart , Jose Daniel Lara , Ciaran Roberts , Rodrigo Henriquez-Auba , Duncan Callaway , Bri-Mathias Hodge

Data assimilation is the process of fusing information from imperfect computer simulations with noisy, sparse measurements of reality to obtain improved estimates of the state or parameters of a dynamical system of interest. The data…

Poroelasticity -- coupled fluid flow and elastic deformation in porous media -- often involves spatially variable permeability, especially in subsurface systems. In such cases, simulations with random permeability fields are widely used for…

机器学习 · 计算机科学 2025-09-16 Sangjoon Park , Yeonjong Shin , Jinhyun Choo

High-fidelity numerical simulation of subsurface flow is computationally intensive, especially for many-query tasks such as uncertainty quantification and data assimilation. Deep learning (DL) surrogates can significantly accelerate forward…

机器学习 · 计算机科学 2026-04-15 Jiale Liu , Nanzhe Wang

We present a probabilistic deep learning methodology that enables the construction of predictive data-driven surrogates for stochastic systems. Leveraging recent advances in variational inference with implicit distributions, we put forth a…

机器学习 · 统计学 2019-01-16 Yibo Yang , Paris Perdikaris

We propose a deep learning-based surrogate model for stochastic simulators. The basic idea is to use generative neural network to approximate the stochastic response. The challenge with such a framework resides in designing the network…

机器学习 · 计算机科学 2021-10-27 Akshay Thakur , Souvik Chakraborty

Designing an inexpensive approximate surrogate model that captures the salient features of an expensive high-fidelity behavior is a prevalent approach in design optimization. In recent times, Deep Learning (DL) models are being used as a…

机器学习 · 计算机科学 2022-07-12 Harsh Vardhan , Janos Sztipanovits

This paper presents a physics and data co-driven surrogate modeling method for efficient rare event simulation of civil and mechanical systems with high-dimensional input uncertainties. The method fuses interpretable low-fidelity physical…

统计计算 · 统计学 2024-05-10 Jianhua Xian , Ziqi Wang

Data assimilation in subsurface flow systems is challenging due to the large number of flow simulations often required, and by the need to preserve geological realism in the calibrated (posterior) models. In this work we present a…

计算物理 · 物理学 2021-02-03 Meng Tang , Yimin Liu , Louis J. Durlofsky

In this paper we introduce a novel way of estimating prediction uncertainty in deep networks through the use of uncertainty surrogates. These surrogates are features of the penultimate layer of a deep network that are forced to match…

机器学习 · 计算机科学 2021-04-19 Radhakrishna Achanta , Natasa Tagasovska

Solving multiphysics-based inverse problems for geological carbon storage monitoring can be challenging when multimodal time-lapse data are expensive to collect and costly to simulate numerically. We overcome these challenges by combining…

地球物理 · 物理学 2023-10-24 Ziyi Yin , Rafael Orozco , Mathias Louboutin , Felix J. Herrmann

This paper is a contribution in the context of variational data assimilation combined with statistical learning. The framework of data assimilation traditionally uses data collected at sensor locations in order to bring corrections to a…

数值分析 · 数学 2023-05-09 Amina Benaceur , Barbara Verfürth

This paper develops a surrogate model refinement approach for the simulation of dynamical systems and the solution of optimization problems governed by dynamical systems in which surrogates replace expensive-to-compute state- and…

最优化与控制 · 数学 2025-09-08 Jonathan R. Cangelosi , Matthias Heinkenschloss

Accurate simulations of the oceans are crucial in understanding the Earth system. Despite their efficiency, simulations at lower resolutions must rely on various uncertain parameterizations to account for unresolved processes. However,…

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