2018

  1. Deep Hidden Physics Models: Deep Learning of Nonlinear Partial Differential Equations Raissi, Maziar arXiv preprint arXiv:1801.06637 2018 [URL]
  2. Multistep Neural Networks for Data-driven Discovery of Nonlinear Dynamical Systems Raissi, Maziar, Perdikaris, Paris, and Karniadakis, George Em arXiv preprint arXiv:1801.01236 2018 [URL]

2017

  1. Nonlinear information fusion algorithms for data-efficient multi-fidelity modelling Perdikaris, P., Raissi, M., Damianou, A., Lawrence, N. D., and Karniadakis, G. E. Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences 2017 [URL]
  2. Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations Raissi, Maziar, Perdikaris, Paris, and Karniadakis, George Em arXiv preprint arXiv:1711.10566 2017 [URL]
  3. Machine learning of linear differential equations using gaussian processes Raissi, Maziar, Perdikaris, Paris, and Karniadakis, George Em Journal of Computational Physics 2017 [URL]
  4. Hidden physics models: Machine learning of nonlinear partial differential equations Raissi, Maziar, and Karniadakis, George Em Journal of Computational Physics 2017 [URL]
  5. Inferring solutions of differential equations using noisy multi-fidelity data Raissi, Maziar, Perdikaris, Paris, and Karniadakis, George Em Journal of Computational Physics 2017 [URL]
  6. Parametric Gaussian Process Regression for Big Data Raissi, Maziar arXiv preprint arXiv:1704.03144 2017 [URL]
  7. Numerical Gaussian Processes for Time-dependent and Non-linear Partial Differential Equations Raissi, Maziar, Perdikaris, Paris, and Karniadakis, George Em SIAM: SIAM Journal on Scientific Computing 2017 [URL]
  8. Application of local improvements to reduced-order models to sampling methods for nonlinear PDEs with noise Raissi, M., and Seshaiyer, P. International Journal of Computer Mathematics 2017 [URL]
  9. Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations Raissi, Maziar, Perdikaris, Paris, and Karniadakis, George Em arXiv preprint arXiv:1711.10561 2017 [URL]

2016

  1. Conic economics Raissi, Maziar 2016 [URL]
  2. Deep Multi-fidelity Gaussian Processes Raissi, Maziar, and Karniadakis, George arXiv preprint arXiv:1604.07484 2016 [URL]

2014

  1. The differential effects of oil demand and supply shocks on the global economy Cashin, Paul, Mohaddes, Kamiar, Raissi, Maziar, Raissi, Mehdi Energy Economics 2014 [URL]
  2. A multi-fidelity stochastic collocation method for parabolic partial differential equations with random input data Raissi, Maziar, and Seshaiyer, Padmanabhan International Journal for Uncertainty Quantification 2014 [URL]

2013

  1. Multi-fidelity Stochastic Collocation Raissi, Maziar 2013 [URL]