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Nope, they're orders of magnitude more inefficient because they don't leverage gradient descent.

Rule of thumb in optimization: real numbers are easy, integers are hard



This may be the status quo because of the so called "hardware lottery" which has historically been optimized for floating point. I'm speculating, but if hardware designers were instead only concerned about raw xnor density and throughput, we might end up with chips powerful enough that giant 1-bit nets could be trained purely through evolution.


No, it's a fact at the mathematical level that you can enshrine in big O terms if you want to


How do you optimize memory for floating point?


BF8 and other similar formats?




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