Concepedia

DGM: A deep learning algorithm for solving partial differential equations

Justin Sirignano, Konstantinos Spiliopoulos

Journal of Computational Physics · 2018 · 2.1K citations · 41 references

Open access

Concepts

Natural SciencesComputer ScienceMathematicsDifferential EquationsMachine LearningDeep LearningNeural NetworksNumerical Methods For Differential EquationsPartial Differential Equation ModelsPartial Differential EquationsSystems Of Differential EquationsNonlinear Partial Differential EquationsNumerical Analysis Of Partial Differential EquationsNumerical Solutions Of Partial Differential EquationsPartial Differential Equation SolversPartial Differential Equation Systems

References

41

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Computing, Computer Science, Algorithms +16

Adam: A Method for Stochastic Optimization

Diederik P. Kingma, Jimmy Ba · UvA-DARE (University of Amsterdam) · 2014 · 84.8K citations · Full text

Computing, Computer Science, Algorithms +16

Advances in Neural Information Processing Systems 28

Peter Flach, Meelis Kull · 2015 · 14.7K citations

Life Sciences, Computer Science, Neuroscience +12

Approximation by superpositions of a sigmoidal function

George Cybenko · Mathematics of Control Signals and Systems · 1989 · 13.7K citations

Computing, Computer Science, Machine Learning +5

Understanding the difficulty of training deep feedforward neural networks

Xavier Glorot, Yoshua Bengio · 2010 · 12.7K citations

Computing, Computer Science, Artificial Intelligence +13