patrick-kidger / patrick-kidger/diffrax

Support for hybrid (mixed discrete-continuous) systems

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Description

https://github.com/patrick-kidger/diffrax/issues/343 seems somewhat related but not quite the same.

It would be great to support discrete mode transitions between time steps. We can of course use the example in https://docs.kidger.site/diffrax/usage/manual-stepping/, but it seems that doesn't directly allow usage of adjoints?

To be honest, I'm not sure what the theory of adjoints is for hybrid systems is either.

Would be great to get thoughts on both fronts.

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First steps

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Research direction

Start with the manual-stepping documentation and the related issue #343, then review the discussion in this issue about discrete mode transitions and adjoints. The work is not yet well-defined; it would need an agreed hybrid-system scope, adjoint behavior, and concrete acceptance criteria before implementation can begin.

Written by the indexing model from the issue text.

Assessment

Tech stack
python
Domain
backend
Issue type
Feature
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
25/100

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