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Machine learning models are gaining increasing popularity in the domain of fluid dynamics for their potential to accelerate the production of high-fidelity computational fluid dynamics data. However, many recently proposed machine learning…

机器学习 · 计算机科学 2023-03-01 Dule Shu , Zijie Li , Amir Barati Farimani

Recent work in scientific machine learning has developed so-called physics-informed neural network (PINN) models. The typical approach is to incorporate physical domain knowledge as soft constraints on an empirical loss function and use…

机器学习 · 计算机科学 2021-11-12 Aditi S. Krishnapriyan , Amir Gholami , Shandian Zhe , Robert M. Kirby , Michael W. Mahoney

In this work we propose an extension of physics informed supervised learning strategies to parametric partial differential equations. Indeed, even if the latter are indisputably useful in many applications, they can be computationally…

机器学习 · 计算机科学 2024-01-22 Nicola Demo , Maria Strazzullo , Gianluigi Rozza

In this paper, a physics-informed multiresolution wavelet neural network (PIMWNN) method is proposed for solving partial differential equations (PDEs). This method uses the multiresolution wavelet neural network (MWNN) to approximate…

数值分析 · 数学 2025-08-12 Feng Han , Jianguo Wang , Guoliang Peng , Xueting Shi

For the purpose of effective suppression of the cycle-skipping phenomenon in full waveform inversion (FWI), we developed a Deep Neural Network (DNN) approach to predict the absent low-frequency components by exploiting the implicit relation…

地球物理 · 物理学 2019-12-23 Wenyi Hu , Yuchen Jin , Xuqing Wu , Jiefu Chen

This article introduces Perception-Informed Neural Networks (PrINNs), a framework designed to incorporate perception-based information into neural networks, addressing both systems with known and unknown physics laws or differential…

机器学习 · 计算机科学 2025-05-27 Mehran Mazandarani , Marzieh Najariyan

By leveraging neural networks, the emerging field of scientific machine learning (SciML) offers novel approaches to address complex problems governed by partial differential equations (PDEs). In practical applications, challenges arise due…

机器学习 · 计算机科学 2024-10-18 Handi Zhang , Langchen Liu , Lu Lu

Multifidelity simulation methodologies are often used in an attempt to judiciously combine low-fidelity and high-fidelity simulation results in an accuracy-increasing, cost-saving way. Candidates for this approach are simulation…

计算物理 · 物理学 2023-01-09 Michael Penwarden , Shandian Zhe , Akil Narayan , Robert M. Kirby

Whilst the partial differential equations that govern the dynamics of our world have been studied in great depth for centuries, solving them for complex, high-dimensional conditions and domains still presents an incredibly large…

机器学习 · 计算机科学 2023-03-07 Edward Small

In this paper, we propose a probabilistic physics-guided framework, termed Physics-guided Deep Markov Model (PgDMM). The framework targets the inference of the characteristics and latent structure of nonlinear dynamical systems from…

机器学习 · 计算机科学 2022-05-26 Wei Liu , Zhilu Lai , Kiran Bacsa , Eleni Chatzi

While physics conveys knowledge of nature built from an interplay between observations and theory, it has been considered less importantly in deep neural networks. Especially, there are few works leveraging physics behaviors when the…

机器学习 · 计算机科学 2019-02-12 Sungyong Seo , Yan Liu

We present a deep learning framework for correcting existing dynamical system models utilizing only a scarce high-fidelity data set. In many practical situations, one has a low-fidelity model that can capture the dynamics reasonably well…

机器学习 · 计算机科学 2024-10-24 Caroline Tatsuoka , Dongbin Xiu

We propose gradient-enhanced PINNs based on transfer learning (TL-gPINNs) for inverse problems of the function coefficient discovery in order to overcome deficiency of the discrete characterization of the PDE loss in neural networks and…

数值分析 · 数学 2023-05-16 Shuning Lin , Yong Chen

This work presents the application of a recently developed parametric, non-intrusive, and multi-fidelity reduced-order modeling method on high-dimensional displacement and stress fields arising from the structural analysis of geometries…

机器学习 · 计算机科学 2022-06-15 Christian Perron , Darshan Sarojini , Dushhyanth Rajaram , Jason Corman , Dimitri Mavris

In control design most control strategies are model-based and require accurate models to be applied successfully. Due to simplifications and the model-reality-gap physics-derived models frequently exhibit deviations from real-world-systems.…

最优化与控制 · 数学 2022-08-09 Ricarda-Samantha Götte , Julia Timmermann

Data assimilation for parameter and state estimation in subsurface transport problems remains a significant challenge due to the sparsity of measurements, the heterogeneity of porous media, and the high computational cost of forward…

机器学习 · 计算机科学 2020-06-24 QiZhi He , David Brajas-Solano , Guzel Tartakovsky , Alexandre M. Tartakovsky

Physics-informed machine learning (PIML) provides a promising solution for building energy modeling and can serve as a virtual environment to enable reinforcement learning (RL) agents to interact and learn. However, challenges remain in…

系统与控制 · 电气工程与系统科学 2025-12-16 Zixin Jiang , Xuezheng Wang , Bing Dong

Physics-informed neural networks (PINNs) have recently emerged as a promising alternative for extracting unknown quantities from experimental data. Despite this potential, much of the recent literature has relied on sparse, high-fidelity…

流体动力学 · 物理学 2026-01-09 Christian Toma , Bharathram Ganapathisubramani , Sean Symon

Deep learning (DL) relies heavily on data, and the quality of data influences its performance significantly. However, obtaining high-quality, well-annotated datasets can be challenging or even impossible in many real-world applications,…

机器学习 · 计算机科学 2026-01-12 Jinshuai Bai , Laith Alzubaidi , Qingxia Wang , Ellen Kuhl , Mohammed Bennamoun , Yuantong Gu

Recently, physics informed neural networks (PINNs) have been explored extensively for solving various forward and inverse problems and facilitating querying applications in fluid mechanics applications. However, work on PINNs for unsteady…

流体动力学 · 物理学 2024-02-28 Rahul Sundar , Dipanjan Majumdar , Didier Lucor , Sunetra Sarkar