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Can someone with AI knowledge please clarify - does this mean we can build 'rules based systems' into AI to synthesise intelligence from both domains?

If so, this would be dramatic, no?

If you could teach a translation service 'grammar' and then also leverage the pattern matching, could this be a 'fundamental' new idea in AI application?

Or is this just something specific?

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They model a system which they know to be constrained by a closed-form equation called the Hamiltonian. They (cleverly, IMO) force the network’s predictions to be constrained by the Hamiltonian, by choosing the right output and loss function.

I don’t see a way to generalize this to the procedural rule-based systems you describe, unless they too are governed by a fairly simple continuous function Like the Hamiltonian.

I don’t know if it was “dramatic”, but it made me really happy.

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