Deep learning of vortex-induced vibrations

Hidden physics models: Machine learning of nonlinear partial differential equations

(2018) Maziar Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Numerical Gaussian Processes for Time-Dependent and Nonlinear Partial Differential Equations

(2018) Maziar Raissi et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Machine learning of linear differential equations using Gaussian processes

(2017) Maziar Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Inferring solutions of differential equations using noisy multi-fidelity data

(2017) Maziar Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Wavelet Scattering Regression of Quantum Chemical Energies

(2017) Matthew Hirn et al.   MULTISCALE MODELING & SIMULATION

Nonlinear information fusion algorithms for data-efficient multi-fidelity modelling

(2017) P. Perdikaris et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

A paradigm for data-driven predictive modeling using field inversion and machine learning

(2016) Eric J. Parish et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Reynolds averaged turbulence modelling using deep neural networks with embedded invariance

(2016) Julia Ling et al.   JOURNAL OF FLUID MECHANICS

Taking the Human Out of the Loop: A Review of Bayesian Optimization

(2016) Bobak Shahriari et al.   PROCEEDINGS OF THE IEEE

Multifidelity Information Fusion Algorithms for High-Dimensional Systems and Massive Data sets

(2016) Paris Perdikaris et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Bayesian Numerical Homogenization

(2015) Houman Owhadi   MULTISCALE MODELING & SIMULATION

Evaluation of machine learning algorithms for prediction of regions of high Reynolds averaged Navier Stokes uncertainty

(2015) J. Ling et al.   PHYSICS OF FLUIDS

Brittleness of Bayesian inference under finite information in a continuous world

(2015) Houman Owhadi et al.   Electronic Journal of Statistics

Vortex-induced vibrations of a long flexible cylinder in shear flow

(2011) REMI BOURGUET et al.   JOURNAL OF FLUID MECHANICS

Solving initial-boundary value problems for systems of partial differential equations using neural networks and optimization techniques

(2009) R. Shekari Beidokhti et al.   JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS