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Paper · arXiv

Looped Latent Attention: Cross-Loop KV Compression for Looped Transformers

Looped, weight-tied Transformers reduce parameters by reusing a single block, but decoding still stores a separate K/V cache for every recurrence step. We show that this loop-indexed cache is highly structured. For a fixed token, layer and head, K/V vectors trace a short low-rank trajectory across loops, while the head and layer axes remain much flatter. We introduce Looped Latent Attention (\lla{}), a post-training cache codec that stores compact K and V latents and reconstructs loop-specific K/V vectors only when attention reads them. The default per-head codec compresses recurrence, while \lla{}-2D also folds heads into one latent for the extreme-compression regime. The codec is initia...

AuthorsJames O' Neill, Fergal Reid
Primary categorycs.LG
Published16 July 2026
Last updated at source24 July 2026
cs.LGcs.CL
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