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Machine Learning for Semi Linear PDEs

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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… Click to show full 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.

Keywords: semi linear; linear pdes; machine learning; learning semi

Journal Title: Journal of Scientific Computing
Year Published: 2019

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