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All machine learning is just convolution in the context of Hopf algebra convolution.
by adamnemecek 3y ago
All machine learning is just convolution in the context of Hopf algebra convolution.
- mensetmanusman 3y agoIs this an intellectual leap aiming to make the field more cohesive, like the quest for unifying theories in physics?
- adamnemecek 3y agoThat is one of the goals, yes. In addition, it seems like you get neural architecture search (architecture is optimized), faster training, inference and interpretability. I'm working it out as we speak. Ironically, convolution provides some unification in physics too, e.g. renormalization is a convolution.
- dpflan 3y agoInteresting, please do elaborate...
- cwillu 3y agoI read it as a riff on “monads are just monoids in the category of endofunctors”, but maybe that wasn't intended.
- uoaei 3y agoIt kind of is. The commenter has been working on this formalism for a year or more. I'm sure he will come by with his link for the Discord channel where he discusses with and finds collaborators soon.
- adamnemecek 3y agoI has been less than 9 months. But yeah there is a discord if you want to follow progress https://discord.cofunctional.ai https://discord.cofunctional.ai.