Standard neural networks learn bitwise and simple arithmetic from digit images but fail at multiplication; a divide-and-conquer model with carry/non-carry labels reaches 84.5% on multiplication.
Mizumoto, Comparison of fuzzy reasoning methods, Fuzzy Sets and Systems 8 (3) (1982) 253–283
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Logic could be learned from images
Standard neural networks learn bitwise and simple arithmetic from digit images but fail at multiplication; a divide-and-conquer model with carry/non-carry labels reaches 84.5% on multiplication.