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Looks very nice! May I ask how fast it is?
It's reasonably fast, as it uses HMatrix for linear algebra -- HMatrix relies on BLAS rather than native Haskell for all the matrix and vector math.
Thanks for sharing this. I've been interested in Haskell for a while and I hadn't really started writing any actual programs until very recently[1]. I also wanted to learn about neural networks, and reading your source code was quite pleasant. It looks really interesting, congratulations.

[1] I wrote a toy IRC bot for a channel I have with some friends. It's quite primitive. https://github.com/jdiez17/HaskellHawk

off-topic question: is it possible to speed up a neuron network software using a gpu or specialized hardware running openCL ? what about using supercomputers ?