activity
20162024
most citedHidden Physics Models: Machine Learning of Nonlinear Partial Differential Equations

1.4k citations · 1.4k across the 3 of their papers we have counts for

collaborators

10 papers

cs.LG20248 cited

Physics-Informed Neural Networks and Extensions

Maziar Raissi, Paris Perdikaris, Nazanin Ahmadi +1

In this paper, we review the new method Physics-Informed Neural Networks (PINNs) that has become the main pillar in scientific machine learning, we present recent practical extensi…

cs.LG2020

A deep learning framework for solution and discovery in solid mechanics

Ehsan Haghighat, Maziar Raissi, Adrian Moure +2

We present the application of a class of deep learning, known as Physics Informed Neural Networks (PINN), to learning and discovery in solid mechanics. We explain how to incorporat…

physics.flu-dyn2018

Deep Learning of Turbulent Scalar Mixing

Maziar Raissi, Hessam Babaee, Peyman Givi

Based on recent developments in physics-informed deep learning and deep hidden physics models, we put forth a framework for discovering turbulence models from scattered and potenti…

physics.flu-dyn2018

Deep Learning of Vortex Induced Vibrations

Maziar Raissi, Zhicheng Wang, Michael S. Triantafyllou +1

Vortex induced vibrations of bluff bodies occur when the vortex shedding frequency is close to the natural frequency of the structure. Of interest is the prediction of the lift and…

cs.CE2018

Hidden Fluid Mechanics: A Navier-Stokes Informed Deep Learning Framework for Assimilating Flow Visualization Data

Maziar Raissi, Alireza Yazdani, George Em Karniadakis

We present hidden fluid mechanics (HFM), a physics informed deep learning framework capable of encoding an important class of physical laws governing fluid motions, namely the Navi…

cs.LG2018

Machine Learning of Space-Fractional Differential Equations

Mamikon Gulian, Maziar Raissi, Paris Perdikaris +1

Data-driven discovery of "hidden physics" -- i.e., machine learning of differential equation models underlying observed data -- has recently been approached by embedding the discov…