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About this paper

Vyzantinos Repantis, Harshvardhan Singh, Tony Joseph, Cien Zhang, Akash Vishwakarma, Svetlana Karslioglu, Michael Wyatt Thot, Ameya Gawde

This research introduces Bits-over-Random (BoR), a chance-corrected selectivity metric that quantifies the true discriminative power of retrieval systems for Large Language Models (LLMs). It reveals a "99% success paradox" where high traditional success rates can be statistically indistinguishable from random selection, demonstrating that such high retrieval depths can degrade downstream LLM performance and lead to a collapse in selectivity, especially in LLM agent tool selection.

Key insights

  • High observed success rates (e.g., 99-100%) can mask performance that is indistinguishable from random selection, particularly in contexts with high relevance density or large retrieval depths (the "99% success paradox").
  • Increasing retrieval depth (K) beyond a certain point can lead to a collapse in meaningful selectivity, where additional documents provide negligible gains over random chance, potentially degrading downstream LLM performance.
  • The principles of selectivity collapse are highly relevant to LLM agent tool selection, where small tool catalogs and high relevance density can cause even perfect selectors to achieve near-zero selectivity.

Summary by alphaXiv.

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