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LLM Semantic Cache: 'Self-Selection' Phenomenon Identified Where Validation Logic Undermines Guarantees

·2026.09.22 11:19

Key point

The validation logic of LLM semantic caches has been shown to alter data distributions, undermining formal guarantees through a phenomenon termed 'self-selection'.

Details

Applying Conformal Risk Control (CRC) to LLM semantic caches implemented distribution-free formal guarantees to maintain error rates below a set budget (e.g., 2%), but discovered a 'self-selection' phenomenon where cache operations themselves break these guarantees.

Mechanism of Self-Selection

Existing validation assumes exchangeability between calibration data and future traffic, but in deployed caches, the validator's accept/reject decisions alter future cache records and matching targets. In other words, because calibration data is shaped by the system's past choices, there is a divergence between the assumed distribution and the actual operational distribution.

Experimental Results and Impact

Comparing three regimes (Baseline, Self-select, Self-select-recal) on the same record stream showed that risk increased monotonically as the duplicate query ratio rose.

  • Quora (direct hit rate 3.7%): Cache reduced by 5%, no change in realized risk.
  • SearchQueries (direct hit rate 28.1%): Cache reduced by 31%, statistically significant increase in error rate.
  • LmArena (direct hit rate 72.8%): Cache reduced by 77%, realized risk increased more than 3x compared to the original guarantee.

Limitations of Correction and Root Cause

Online recalibration compensated for performance in Quora and SearchQueries but failed to fully close the gap in LmArena. For LmArena, the primary cause (approximately 69% of errors) was identified as a 'crowding-out' phenomenon where popular correct answers are repeatedly reused and pushed out of the cache. A partial solution of increasing the write probability upon hit (p) still left statistically significant residual harm even at p=0.75, suggesting that the gap can only be narrowed by sacrificing write efficiency.

In conclusion, mathematically correct statistical guarantees do not ensure permanent production safety, and feedback loops where a system alters its own input data while operating normally emerge as a key risk factor.

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