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The computational resources required to solve the full 3D inversion of time-domain electromagnetic data are immense. To overcome the time-consuming 3D simulations, we construct a surrogate model, more precisely, a data-driven statistical…

Geophysics · Physics 2024-07-10 Wouter Deleersnyder , David Dudal , Thomas Hermans

Driven by increased complexity of dynamical systems, the solution of system of differential equations through numerical simulation in optimization problems has become computationally expensive. This paper provides a smart data driven…

Optimization and Control · Mathematics 2021-08-25 Kainat Khowaja , Mykhaylo Shcherbatyy , Wolfgang Karl Härdle

A deep-learning-based closure model to address energy loss in low-dimensional surrogate models based on proper-orthogonal-decomposition (POD) modes is introduced. Using a transformer-encoder block with easy-attention mechanism, the model…

In recent decades, the main focus of computer modeling has been on supporting the design and development of engineering prototyes, but it is now ubiquitous in non-traditional areas such as medical rehabilitation. Conventional modeling…

Machine Learning · Computer Science 2024-09-13 Jonas Kneifl , David Rosin , Oliver Röhrle , Jörg Fehr

Systematic exploration of Agent-Based Models (ABMs) is challenged by the curse of dimensionality and their inherent stochasticity. We present a multi-stage pipeline integrating the systematic design of experiments with machine learning…

Machine Learning · Computer Science 2026-04-07 Paul Saves , Matthieu Mastio , Nicolas Verstaevel , Benoit Gaudou

In order to optimally design materials, it is crucial to understand the structure-property relations in the material by analyzing the effect of microstructure parameters on the macroscopic properties. In computational homogenization, the…

Computational Engineering, Finance, and Science · Computer Science 2022-08-24 Theron Guo , Ondřej Rokoš , Karen Veroy

In this paper, we combine deep learning concepts and some proper orthogonal decomposition (POD) model reduction methods for predicting flow in heterogeneous porous media. Nonlinear flow dynamics is studied, where the dynamics is regarded as…

Numerical Analysis · Mathematics 2025-09-12 Siu Wun Cheung , Eric T. Chung , Yalchin Efendiev , Eduardo Gildin , Yating Wang , Jingyan Zhang

Deep-learning has achieved good performance and shown great potential for solving forward and inverse problems. In this work, two categories of innovative deep-learning based inverse modeling methods are proposed and compared. The first…

Signal Processing · Electrical Eng. & Systems 2021-04-28 Nanzhe Wang , Haibin Chang , Dongxiao Zhang

Reinforcement learning in partially observed Markov decision processes (POMDPs) faces two challenges. (i) It often takes the full history to predict the future, which induces a sample complexity that scales exponentially with the horizon.…

Machine Learning · Computer Science 2024-04-02 Lingxiao Wang , Qi Cai , Zhuoran Yang , Zhaoran Wang

In this paper, we propose a deep learning based reduced order modeling method for stochastic underground flow problems in highly heterogeneous media. We aim to utilize supervised learning to build a reduced surrogate model from the…

Numerical Analysis · Mathematics 2022-07-27 Yiran Wang , Eric Chung , Shubin Fu

Neural networks are currently transforming the field of computer algorithms, yet their emulation on current computing substrates is highly inefficient. Reservoir computing was successfully implemented on a large variety of substrates and…

Emerging Technologies · Computer Science 2019-08-07 Bogdan Penkovsky , Xavier Porte , Maxime Jacquot , Laurent Larger , Daniel Brunner

Reduced Order Modelling (ROM) has been widely used to create lower order, computationally inexpensive representations of higher-order dynamical systems. Using these representations, ROMs can efficiently model flow fields while using…

Fluid Dynamics · Physics 2021-10-13 Pranshu Pant , Ruchit Doshi , Pranav Bahl , Amir Barati Farimani

Surrogate modeling is a viable solution for applications involving repetitive evaluations of expensive computational fluid dynamics models, such as uncertainty quantification and inverse problems. This study proposes a multi-layer…

Fluid Dynamics · Physics 2024-06-24 Gurpreet S. Hora , Marco G. Giometto

In this paper, we put forth an evolve-then-correct reduced order modeling approach that combines intrusive and nonintrusive models to take hidden physical processes into account. Specifically, we split the underlying dynamics into known and…

Computational Physics · Physics 2019-11-07 Suraj Pawar , Shady E. Ahmed , O. San , A. Rasheed

There is a critical need for efficient and reliable active flow control strategies to reduce drag and noise in aerospace and marine engineering applications. While traditional full-order models based on the Navier-Stokes equations are not…

Fluid Dynamics · Physics 2022-11-02 Indu Kant Deo , Rui Gao , Rajeev Jaiman

A promising way to improve the sample efficiency of reinforcement learning is model-based methods, in which many explorations and evaluations can happen in the learned models to save real-world samples. However, when the learned model has a…

Machine Learning · Computer Science 2022-09-14 Haoxin Lin , Yihao Sun , Jiaji Zhang , Yang Yu

Learning-based control aims to construct models of a system to use for planning or trajectory optimization, e.g. in model-based reinforcement learning. In order to obtain guarantees of safety in this context, uncertainty must be accurately…

Robotics · Computer Science 2020-06-08 David D. Fan , Ali-akbar Agha-mohammadi , Evangelos A. Theodorou

This paper presents a novel surrogate model for modeling subsurface fluid flow with well controls using a physics-informed convolutional recurrent neural network (PICRNN). The model uses a convolutional long-short term memory (ConvLSTM) to…

Machine Learning · Computer Science 2023-05-17 Jungang Chen , Eduardo Gildin , John E. Killough

Modeling and controlling complex spatiotemporal dynamical systems driven by partial differential equations (PDEs) often necessitate dimensionality reduction techniques to construct lower-order models for computational efficiency. This paper…

Systems and Control · Electrical Eng. & Systems 2024-09-12 Priyabrata Saha , Saibal Mukhopadhyay

Recent advances in machine learning, specifically transformer architecture, have led to significant advancements in commercial domains. These powerful models have demonstrated superior capability to learn complex relationships and often…

Machine Learning · Computer Science 2024-05-29 Matthew L. Olson , Shusen Liu , Jayaraman J. Thiagarajan , Bogdan Kustowski , Weng-Keen Wong , Rushil Anirudh
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