D-CIPHER: Discovery of Closed-form Partial Differential Equations. (arXiv:2206.10586v2 [cs.LG] UPDATED)

Closed-form differential equations, including partial differential equations
and higher-order ordinary differential equations, are one of the most important
tools used by scientists to model and better understand natural phenomena.
Discovering these equations directly from data is challenging because it
requires modeling relationships between various derivatives that are not
observed in the data (equation-data mismatch) and it involves searching across
a huge space of possible equations. Current approaches make strong assumptions
about the form of the equation and thus fail to …

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