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> Training a one bit neural network from scratch is apparently an unsolved problem though.

It was until recently, but there is a new method which trains them directly without any floating point math, using "Boolean variation" instead of Newton/Leibniz differentiation:

https://proceedings.neurips.cc/paper_files/paper/2024/hash/7...



Nice!


Unfortunately the paper seems to have been mostly overlooked. It has only a few citations. I think one practical issue is that that existing training hardware is optimized for floating point operations.




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