For bases 3-5, the structural complexity of a base-addition carry rule (fractal dimension, carry frequency, associativity) strongly predicts whether a tiny recurrent network can learn it and generalize from 3-digit to 10-digit sums.
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A Group Theoretic Analysis of the Symmetries Underlying Base Addition and Their Learnability by Neural Networks
For bases 3-5, the structural complexity of a base-addition carry rule (fractal dimension, carry frequency, associativity) strongly predicts whether a tiny recurrent network can learn it and generalize from 3-digit to 10-digit sums.