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Paper · arXiv

AttSVD:Prompt-Adaptive Low-Rank KV Cache Compression via Attention-Guided SVD

The key-value (KV) cache of autoregressive transformers grows linearly with context length and dominates memory at long context. Most training-free remedies evict low-importance tokens, an irreversible choice along the sequence axis. We instead keep every token and store it more cheaply along the "feature" axis. We therefore propose AttSVD, a new "interpretable" low-rank compression whose basis is derived from each prompt's own attention geometry: an online, per-prompt truncated SVD that keeps only the directions attention actually reads, cutting persistent per-head KV memory in proportion to the retained rank. We propose two decode-time caching strategies, accumulating and streaming, for...

AuthorsSara Abdali, Jongwoo Ko, Pashmina Cameron
Primary categorycs.LG
Published3 October 2026
Last updated at source3 October 2026
cs.LGcs.AI
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