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What are everyone's thoughts on this paper? Does anyone understand category / topos theory willing to explain?


the authors seemed to have lost an opportunity to name the paper "In the Shallow-lalalow"


don't confuse this with universal approximation - yes shallow ReLU networks are dense in functional space, so at the limit you should be able to get any function you want - but they are talking about exact representation with finitely many neurons here.


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