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i'm also curious but my understanding was MNIST pixels are not binary due to some postprocessing artifacts


Oh hm, so they are. I thought they were binary because they used a digital pen to create them, IIRC, and logistic regression is always the baseline; but checking, they technically are grayscale and people don't always binarize them. So I guess information-theoretically, if they are 0-255 valued, then 2 pixels could potentially let you classify pretty well if sufficiently pathological.




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