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Gaussianperson t1_iv9bt1z wrote

Reply to comment by patrickkidger in [D] Physics-inspired Deep Learning Models by ShadowKnightPro

Hey Patrick! Huge fan of your research :). It’s a really cool topic imho. Could you share the open problems?

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patrickkidger t1_ivb3t7e wrote

See the conclusion of my thesis (linked above ;) )

TL;DR: everything neural PDEs, stable training of neural SDEs, applications of neural ODEs to ~all of science~, adaptive/implicit/rough numerical SDEs (although that one's very specialised), there's current work connecting NDEs with state space models (S4D, MEGA, etc.), ... etc. etc!

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