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## Comments

Hi and welcome from another Spaniard also interested in probabilistic and neural applications. Reference request, what could one read to get a feel on the McCullagh work you mention?

`Hi and welcome from another Spaniard also interested in probabilistic and neural applications. Reference request, what could one read to get a feel on the McCullagh work you mention?`

Hi. I was talking about this paper: https://projecteuclid.org/euclid.aos/1035844977

`Hi. I was talking about this paper: https://projecteuclid.org/euclid.aos/1035844977`

Hi, Matias! It would be very interesting to apply more category theory and "network theory" in machine learning, the design of artificial neural networks, and also the study of biological neural networks.

`Hi, Matias! It would be very interesting to apply more category theory and "network theory" in machine learning, the design of artificial neural networks, and also the study of biological neural networks.`

Yes. Indeed, I found very exciting (and surprisingly not too hard to follow) the paper "Backprop as Functor: A compositional perspective on supervised learning" from Fong, Spivak and Tuyéras. It seems a very appealing framework to connect theoretical ideas to actual implementation in a strongly typed FP language like Haskell. I'm not an expert in DNN, but I think such a compositional and well founded description would be very useful tool for building algorithms that explore the space of neural architectures (I am aware there is some recent research in this direction).

`Yes. Indeed, I found very exciting (and surprisingly not too hard to follow) the paper "Backprop as Functor: A compositional perspective on supervised learning" from Fong, Spivak and Tuyéras. It seems a very appealing framework to connect theoretical ideas to actual implementation in a strongly typed FP language like Haskell. I'm not an expert in DNN, but I think such a compositional and well founded description would be very useful tool for building algorithms that explore the space of neural architectures (I am aware there is some recent research in this direction).`

Jesus, I found this very recent blog post commenting on McCullagh paper What is a statistical model? and applied category theory. (not really too much insight)

`[Jesus](https://forum.azimuthproject.org/discussion/comment/15968/#Comment_15968), I found this very recent [blog post](https://www.johndcook.com/blog/2018/04/14/categorical-data-analysis/) commenting on McCullagh paper [What is a statistical model?](https://projecteuclid.org/euclid.aos/1035844977) and applied category theory. (not really too much insight)`

Thank you Matías!

`Thank you Matías!`