Arbitrary Length Generalization for Addition

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arXiv:2406.00075v1 Announce Type: new
Abstract: This paper introduces a novel training methodology that enables a small Transformer model to generalize the addition of two-digit numbers to numbers with unseen lengths of digits. The proposed approach employs an autoregressive generation technique, processing from right to left, which mimics a common manual method for adding large numbers. To the best of my knowledge, this methodology has not been previously explored in the literature. All results are reproducible, and the corresponding R code is available at: url{https://github.com/AGPatriota/ALGA-R/}.



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