Machine Learning for semi linear PDEs

September 20, 2018 ยท Declared Dead ยท ๐Ÿ› Journal of Scientific Computing

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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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