Switch from AbstractDifferentiation to DifferentiationInterface?

[gdalle]

I can lend a hand to transition DataDrivenLux to https://github.com/gdalle/DifferentiationInterface.jl if you want :)

[ChrisRackauckas]

Yes please

[gdalle]

Facing dependency hell when I try to replace AD with DI, I think the compat bounds haven't been updated in a while for DataDrivenLux

[ChrisRackauckas]

Yes it needs love.