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I'm extremely interested in seeing explicit examples for string diagrams in applications. I recently had a twitter conversation with @Jules Hedges which had some nice links, but I think it could be an excellent resource for those like me with some background, and a hunger to use these tools in their own work
For context here is the thread of @Jules Hedges : https://twitter.com/_julesh_/status/1241408623231860736?s=20
Diagrams are in general underrated. https://twitter.com/VitalikButerin/status/1241396373670559748
- julesh (@_julesh_)How "applications" do to want these applications to be?
While I think it's a fascinating and challenging discussion, I dont know if I'm prepared to make any claims about the objective line between application and theory. To wit, I would love to see examples like "here's how i used this to improve my ML models/code/defining equations in biological system", but I'm personally not going to tell anyone their application is wrong.
I think the easiest thing to point to is the work of Bob Coecke and his gang.
Diagrams all day, and it's for quantum computation and natural language processing.
Fabrizio Romano Genovese kindly pointed to that in the thread which was a great reference, that i've not yet had time to follow up on.
I know that Jules has previously referred to the book of https://www.amazon.com/Industrial-Dynamics-Jay-Wright-Forrester/dp/1614275335
I personally feel motivated to learn these tools to simplify some of the very complicated interactions in my work in industry, but I dont feel confident knowing where to get started. (note, one annoying caveat is that it's very hard for me to just discuss what i need with outside academics because so much is tied into NDA)
I think control is an area you see a lot of diagrams. I do believe this is more a topic for the applied category theory stream than here
Interesting^ have you read much of this?