On Learning Hamiltonian Systems from Data

Hamiltonian Generative Networks

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M. Schmidt and H. Lipson · 2009

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MCMC Using Hamiltonian Dynamics

R. Neal · 2011

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Why symmetry matters

Mario Livio · 2012

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Variational Inference with Normalizing Flows

D. J. Rezende and S. Mohamed · 2015

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Highway Networks

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Deep Learning

I. Goodfellow, Y. Bengio, and A. Courville · 2016

Inferring solutions of differential equations using noisy multi-fidelity data

M. Raissi, P. Perdikaris, and G. E. Karniadakis · 2017

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Hamiltonian Variational Auto-Encoder

Anthony L Caterini, Arnaud Doucet, and Dino Sejdinovic · 2018

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Multi-level Residual Networks from Dynamical Systems View

B. Chang, L. Meng, E. Haber, F. Tung, and D. Begert · 2018

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Neural Ordinary Differential Equations

R. T. Q. Chen, Y. Rubanova, J. Bettencourt, and D. Duvenaud · 2018

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Discovering conservation laws from data for control

E. Kaiser, J. Nathan Kutz, and S. L. Brunton · 2018

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Beyond Finite Layer Neural Networks: Bridging Deep Architectures and Numerical Differential Equations

Y. Lu, A. Zhong, Q. Li, and B. Dong · 2018