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Stream: theory: category theory

Topic: diagrams for application


view this post on Zulip Bryan Bischof (Mar 23 2020 at 23:27):

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

view this post on Zulip Bryan Bischof (Mar 23 2020 at 23:29):

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_)

view this post on Zulip Joe Moeller (Mar 23 2020 at 23:30):

How "applications" do to want these applications to be?

view this post on Zulip Bryan Bischof (Mar 23 2020 at 23:33):

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.

view this post on Zulip Joe Moeller (Mar 23 2020 at 23:35):

I think the easiest thing to point to is the work of Bob Coecke and his gang.

view this post on Zulip Joe Moeller (Mar 23 2020 at 23:36):

Diagrams all day, and it's for quantum computation and natural language processing.

view this post on Zulip Bryan Bischof (Mar 23 2020 at 23:36):

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.

view this post on Zulip Bryan Bischof (Mar 23 2020 at 23:37):

I know that Jules has previously referred to the book of https://www.amazon.com/Industrial-Dynamics-Jay-Wright-Forrester/dp/1614275335

view this post on Zulip Bryan Bischof (Mar 23 2020 at 23:39):

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)

view this post on Zulip Georgios Bakirtzis (Mar 23 2020 at 23:46):

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

view this post on Zulip sarahzrf (Mar 24 2020 at 02:05):

quantum_computation.pdf

view this post on Zulip sarahzrf (Mar 24 2020 at 02:06):

image.png

view this post on Zulip Bryan Bischof (Mar 24 2020 at 06:19):

Interesting^ have you read much of this?