Machine Learning for semi linear PDEs
September 20, 2018 ยท Declared Dead ยท ๐ Journal of Scientific Computing
"No code URL or promise found in abstract"
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Authors
Quentin Chan-Wai-Nam, Joseph Mikael, Xavier Warin
arXiv ID
1809.07609
Category
cs.LG: Machine Learning
Cross-listed
math.AP,
stat.ML
Citations
122
Venue
Journal of Scientific Computing
Last Checked
4 months ago
Abstract
Recent machine learning algorithms dedicated to solving semi-linear PDEs are improved by using different neural network architectures and different parameterizations. These algorithms are compared to a new one that solves a fixed point problem by using deep learning techniques. This new algorithm appears to be competitive in terms of accuracy with the best existing algorithms.
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