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Transformer Heads Looking for Order

arXiv:2609.25588v1 Announce Type: cross Abstract: In this note, we show that the problem of checking, whether a sequence of bits is ordered, is not doable by 1-head 1-layer transformers but is doable

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researcharxiv-cs-lg

arXiv:2609.25588v1 Announce Type: cross Abstract: In this note, we show that the problem of checking, whether a sequence of bits is ordered, is not doable by 1-head 1-layer transformers but is doable by a 2-head 1-layer transformer. Unlike similar previous results, our results assume the model where transformers have an output MLP.

Source: arXiv cs.LG | 2026-09-23

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