arXiv Computation and Language By Yuxuan Liu

First Passage Attention

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The paper introduces First Passage Attention (FPA), a new attention mechanism that replaces the traditional summation of decay contributions with a path‑extrema approach, lowering a key’s logit based on the deepest dip of a learned scalar field over the intervening span. FPA generalises the Forgetting Transformer (FoX) and, when the field and levels share a learned walk, naturally forms a stack of alive keys. Experiments show that a constant‑dimension FPA head can realise any subset of keys left alive by subsequent dips, outperforming softmax heads and FoX baselines in synthetic tasks, and matching FoX perplexity while achieving perfect passkey retrieval at eight times the training length in a 110M‑parameter language model.

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