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Divergence Timing and Cumulative Disagreement under KV-Cache Eviction

arXiv · AI, language, vision and robotics · article · Sep 15, 2026 · UTC

KV-cache eviction perturbs the conditional token distributions governing autoregressive generation. We investigate how first-divergence timing and subsequent token mismatch determine cumulative disagreement. We derive an exact decomposition under a specified stepwise maximal coupling: the expected mismatch fraction equals a first-mismatch contribution plus post-divergence exposure multiplied by its mismatch rate. An explicit construction over unrestricted autoregressive kernel pairs realizes the sharp interval of risks compatible with a finite divergence-aligned observation window. Residual-br

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First collected: 2026-09-20T09:01:24.920Z. This is not the publication date.