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We present a method that employs physics-informed deep learning techniques for parametrically solving partial differential equations. The focus is on the steady-state heat equations within heterogeneous solids exhibiting significant phase…

机器学习 · 计算机科学 2024-01-05 Shahed Rezaei , Ahmad Moeineddin , Michael Kaliske , Markus Apel

Recently, surrogate models based on deep learning have attracted much attention for engineering analysis and optimization. As the construction of data pairs in most engineering problems is time-consuming, data acquisition is becoming the…

机器学习 · 计算机科学 2021-09-28 Xiaoyu Zhao , Zhiqiang Gong , Yunyang Zhang , Wen Yao , Xiaoqian Chen

A physics-informed neural network is developed to solve conductive heat transfer partial differential equation (PDE), along with convective heat transfer PDEs as boundary conditions (BCs), in manufacturing and engineering applications where…

机器学习 · 计算机科学 2021-03-29 Navid Zobeiry , Keith D. Humfeld

With several advantages and as an alternative to predict physics field, machine learning methods can be classified into two distinct types: data-driven relying on training data and physics-driven using physics law. Choosing heat conduction…

计算物理 · 物理学 2020-05-19 Hao Ma , Xiangyu Hu , Yuxuan Zhang , Nils Thuerey , Oskar J. Haidn

Multi-physical inversion plays a critical role in geophysics. It has been widely used to infer various physical properties~(such as velocity and conductivity). Among those inversion problems, some are explicitly governed by partial…

地球物理 · 物理学 2022-05-24 Shihang Feng , Peng Jin , Xitong Zhang , Yinpeng Chen , David Alumbaugh , Michael Commer , Youzuo Lin

Supervised learning usually requires a large amount of labelled data. However, attaining ground-truth labels is costly for many tasks. Alternatively, weakly supervised methods learn with cheap weak signals that only approximately label some…

机器学习 · 计算机科学 2024-11-26 You Lu , Wenzhuo Song , Chidubem Arachie , Bert Huang

We present our progress on the application of physics informed deep learning to reservoir simulation problems. The model is a neural network that is jointly trained to respect governing physical laws and match boundary conditions. The…

流体动力学 · 物理学 2021-04-26 Cedric Fraces Gasmi , Hamdi Tchelepi

A surrogate model is developed to predict the convective heat transfer coefficient of liquid sodium (Na) flow within rectangular miniature heat sinks. Initially, kernel-based machine learning techniques and shallow neural network are…

机器学习 · 计算机科学 2025-09-09 Reza Pirayeshshirazinezhad

The prohibitive cost and low fidelity of experimental data in industry scale thermofluid systems limit the usefulness of pure data-driven machine learning methods. Physics-informed neural networks (PINN) strive to overcome this by embedding…

流体动力学 · 物理学 2021-05-25 Ryno Laubscher , Pieter Rousseau

Weakly-supervised learning is a paradigm for alleviating the scarcity of labeled data by leveraging lower-quality but larger-scale supervision signals. While existing work mainly focuses on utilizing a certain type of weak supervision, we…

机器学习 · 统计学 2019-10-11 Yivan Zhang , Nontawat Charoenphakdee , Masashi Sugiyama

Deep learning methodologies have been employed in several different fields, with an outstanding success in image recognition applications, such as material quality control, medical imaging, autonomous driving, etc. Deep learning models rely…

计算机视觉与模式识别 · 计算机科学 2022-03-11 Saul Calderon-Ramirez , Shengxiang Yang , David Elizondo

In many applications, training machine learning models involves using large amounts of human-annotated data. Obtaining precise labels for the data is expensive. Instead, training with weak supervision provides a low-cost alternative. We…

机器学习 · 计算机科学 2022-02-09 Chidubem Arachie , Bert Huang

Recent advancements in semi-supervised deep learning have introduced effective strategies for leveraging both labeled and unlabeled data to improve classification performance. This work proposes a semi-supervised framework that utilizes a…

机器学习 · 计算机科学 2025-05-21 Aydin Abedinia , Shima Tabakhi , Vahid Seydi

We introduce physics informed neural networks -- neural networks that are trained to solve supervised learning tasks while respecting any given law of physics described by general nonlinear partial differential equations. In this second…

人工智能 · 计算机科学 2017-11-30 Maziar Raissi , Paris Perdikaris , George Em Karniadakis

This paper presents a new perspective of self-supervised learning based on extending heat equation into high dimensional feature space. In particular, we remove time dependence by steady-state condition, and extend the remaining 2D…

计算机视觉与模式识别 · 计算机科学 2022-11-24 Yinpeng Chen , Xiyang Dai , Dongdong Chen , Mengchen Liu , Lu Yuan , Zicheng Liu , Youzuo Lin

Since the rise of deep learning, many computer vision tasks have seen significant advancements. However, the downside of deep learning is that it is very data-hungry. Especially for segmentation problems, training a deep neural net requires…

计算机视觉与模式识别 · 计算机科学 2021-10-13 Robby Neven , Davy Neven , Bert De Brabandere , Marc Proesmans , Toon Goedemé

This study proposes a supervised learning method that does not rely on labels. We use variables associated with the label as indirect labels, and construct an indirect physics-constrained loss based on the physical mechanism to train the…

信号处理 · 电气工程与系统科学 2020-04-30 Yuntian Chen , Dongxiao Zhang

This work proposes a novel method for semi-supervised learning from partially labeled massive network-structured datasets, i.e., big data over networks. We model the underlying hypothesis, which relates data points to labels, as a graph…

机器学习 · 计算机科学 2017-05-16 Alexander Jung , Alfred O. Hero , Alexandru Mara , Saeed Jahromi

Deep supervised models have an unprecedented capacity to absorb large quantities of training data. Hence, training on many datasets becomes a method of choice towards graceful degradation in unusual scenes. Unfortunately, different datasets…

计算机视觉与模式识别 · 计算机科学 2021-11-03 Petra Bevandić , Marin Oršić , Ivan Grubišić , Josip Šarić , Siniša Šegvić

Harnessing data to discover the underlying governing laws or equations that describe the behavior of complex physical systems can significantly advance our modeling, simulation and understanding of such systems in various science and…

机器学习 · 计算机科学 2021-11-17 Zhao Chen , Yang Liu , Hao Sun
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