Machine learning and domain decomposition methods-a survey
Hybrid algorithms, which combine black-box machine learning methods with experience
from traditional numerical methods and domain expertise from diverse application areas, are …
from traditional numerical methods and domain expertise from diverse application areas, are …
Enhancing training of physics-informed neural networks using domain decomposition–based preconditioning strategies
We propose to enhance the training of physics-informed neural networks. To this aim, we
introduce nonlinear additive and multiplicative preconditioning strategies for the widely used …
introduce nonlinear additive and multiplicative preconditioning strategies for the widely used …
Two-level overlap** additive Schwarz preconditioner for training scientific machine learning applications
Y Lee, A Kopaničáková, GE Karniadakis - ar** additive Schwarz preconditioner for accelerating
the training of scientific machine learning applications. The design of the proposed …
the training of scientific machine learning applications. The design of the proposed …
Model Parallel Training and Transfer Learning for Convolutional Neural Networks by Domain Decomposition
Deep convolutional neural networks (CNNs) have been shown to be very successful in a
wide range of image processing applications. However, due to their increasing number of …
wide range of image processing applications. However, due to their increasing number of …
Domain-decomposed image classification algorithms using linear discriminant analysis and convolutional neural networks
In many modern computer application problems, the classification of image data plays an
important role. Among many different supervised machine learning models, convolutional …
important role. Among many different supervised machine learning models, convolutional …
DDU-Net: A Domain Decomposition-based CNN for High-Resolution Image Segmentation on Multiple GPUs
C Verburg, A Heinlein, EC Cyr - arxiv preprint arxiv:2407.21266, 2024 - arxiv.org
The segmentation of ultra-high resolution images poses challenges such as loss of spatial
information or computational inefficiency. In this work, a novel approach that combines …
information or computational inefficiency. In this work, a novel approach that combines …
Parallel Trust-Region Approaches in Neural Network Training: Beyond Traditional Methods
K Trotti, SAC Alegría, A Kopaničáková… - arxiv preprint arxiv …, 2023 - arxiv.org
We propose to train neural networks (NNs) using a novel variant of the``Additively
Preconditioned Trust-region Strategy''(APTS). The proposed method is based on a …
Preconditioned Trust-region Strategy''(APTS). The proposed method is based on a …
[PDF][PDF] Applied Mathematics and Nonlinear Sciences
Y Wang - Sciences, 2024 - sciendo.com
With the rapid growth of data centers, optimizing energy consumption has become a critical
challenge. This paper proposes an energy management framework that integrates Long …
challenge. This paper proposes an energy management framework that integrates Long …
Unsupervised convolution neural operator preconditioning for the solution of some heterogeneous fluid PDEs
Y **ang - 2025 - inria.hal.science
This work exclusively focuses on using convolution neural operator learning for accelerating
the solution of some heterogenous PDEs (including Poisson equations, Darcy flow …
the solution of some heterogenous PDEs (including Poisson equations, Darcy flow …
Research and Implementation of Electricity Meter Wiring Recognition Algorithm based on Machine Learning
Y Fan, B Zhou, Y Jie, K Niu - … of the 2024 International Symposium on …, 2024 - dl.acm.org
In power monitoring and management, accurate acquisition of meter reading is critical for
energy analysis and electricity calculation. However, most of the existing electricity meters …
energy analysis and electricity calculation. However, most of the existing electricity meters …