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dshieble's profile
dan shiebler
dan shiebler
dan shiebler
@dshieble

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dan shiebler

@dshieble

Senior ML Engineer at Twitter Cortex. PhD student in Category Theory+ML at Oxford

NY, NY
danshiebler.com
Joined April 2017

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    1. Bruno Gavranović‏ @bgavran3 1 Sep 2019
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      So I'm trying to learn about dinatural transformations. They can be thought of as a natural transformation (https://bartoszmilewski.files.wordpress.com/2017/03/end-1.jpg …) except without some morphisms (https://bartoszmilewski.files.wordpress.com/2017/03/end.jpg ). I was wondering for a while why 1/4

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    2. Bruno Gavranović‏ @bgavran3 1 Sep 2019
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      does the first picture draw only half a cube, when obviously the entire cube has to commute in order for this to be a nat. transform. Taking the same argument, but for the dinatural trans., why is it also missing half of the cube, along with the already missing morphisms? 2/4

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    3. Bruno Gavranović‏ @bgavran3 1 Sep 2019
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      But then I drew it out and figured that since in dinat. trans., for each obj 'a' in the original category there is _only_ a diagonal morph P(a,a)->Q(a,a), the rest of the cube should still "commute", but there aren't different choices in the paths, since a morphism is missing!3/4

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    4. Bruno Gavranović‏ @bgavran3 1 Sep 2019
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      I guess I'm posting this to check if this makes sense, but also because it seems pretty cool. Dinatural transformations are a strange thing to think about! 4/4

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      dan shiebler‏ @dshieble 1 Sep 2019
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      Replying to @bgavran3

      Do extranatural transformations next

      8:35 PM - 1 Sep 2019
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        2. Bruno Gavranović‏ @bgavran3 2 Sep 2019
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          Replying to @dshieble

          They are definitely a wilder beast

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        3. The Catbox‏ @multix_labs 12 Sep 2019
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          Replying to @bgavran3 @dshieble

          Referential transparency applies to both code and datapic.twitter.com/sXsO9xhk4W

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