Value-Aware Stochastic KV Cache Eviction for Reasoning Models

Reasoning models improve accuracy through extended chains of thought, but their long outputs create a memory and compute bottleneck. KV cache eviction methods reduce this cost by evicting unimportant key-value pairs from the cache, yet they suffer larger accuracy degradation than selection-based sparse attention alternatives, which keep the full KV cache. We identify key factors crucial to KV cache eviction accuracy. First, a small fraction of value states have abnormally large magnitudes, and evicting them causes catastrophic failure where models enter repetitive reasoning loops. Second, introducing stochasticity during eviction improves accuracy by increasing cache diversity. Based on these findings, we propose **V**alue-**a**ware **S**tochastic KV Cache **E**viction (VaSE), a training-free recipe that protects large-magnitude value states and promotes diverse eviction decisions. Across six reasoning tasks, Qwen3 models using VaSE with 4x KV cache compression achieve comparable or better average accuracies to the SOTA selection method under the same level of sparsity, while enabling a static memory footprint that selection methods cannot offer. Our method also generalizes as a recipe, with its key factors improving strong eviction methods by 5 points on average.