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ICLR2017 workshop version:link
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Hoping approximation by neural network can overcome the curse of dimensionality to solve PDE in high dimensional space.
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longer version.
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Designed a physic based RNN with residual connection to do model reduction.(Reduce the dimension for a dynamic.)
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- Maziar Raissi, Paris Perdikaris, George Em Karniadakis Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations arXiv2 arXiv(part2)
Ref: http://about.2prime.cn/pde.html (@陆一平-北京大学-数学 )