Corresponding explanation

[ghost]

Hello, what is the proof that kan and mlp are dual?

[brayevalerien]

You can read the full paper at: https://arxiv.org/abs/2404.19756 The section where they define the KANs should be sufficient

[ghost]

Do you use the article "Duality between two generalized.." by Wang Y. et al?

[brayevalerien]

I've not read the paper you are mentioning yet, but there is a discussion about this topic on Reddit. The OP has shared a notebook where they show how one can build an MLP equivalent to a given KAN.

edit: typo

[ghost]

Thanks!

[brayevalerien]

You're welcome. This is a pretty interesting topic and even thought the collab notebook only shows how they are equivalent on a piecewise linear fonction, I'm confident it can be generalized to any continous function with large enough MLPs.

[AlessandroFlati]

Spoiler: it can. Unfortunately, this comment is too narrow to write down the proof. (semi-quote)