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20132026
most citedHidden Physics Models: Machine Learning of Nonlinear Partial Differential Equations

1.4k citations · 5.1k across the 32 of their papers we have counts for

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Showing 2016Show all

2 papers · 1 filter

cs.LG2016★ 326 cited

Inferring solutions of differential equations using noisy multi-fidelity data

Maziar Raissi, Paris Perdikaris, George Em. Karniadakis

For more than two centuries, solutions of differential equations have been obtained either analytically or numerically based on typically well-behaved forcing and boundary conditio…

cs.LG2016★ 52 cited

Deep Multi-fidelity Gaussian Processes

Maziar Raissi, George Karniadakis

We develop a novel multi-fidelity framework that goes far beyond the classical AR(1) Co-kriging scheme of Kennedy and O'Hagan (2000). Our method can handle general discontinuous cr…