Embedding retrieval ranks matching words above shared underlying structure

Across competition mathematics and embodied-agent trajectories, embedding models retrieved plausible candidates but often ranked lexical overlap ahead of structural similarity.

Top University
Nabira Rashid · Manolis Kellis

Independent · MIT CSAIL · Kellis Lab

Research Digest··3 min read

In one line

Embedding retrieval anchors on literal tokens, not task structure, achieving zero accuracy under disguise in math and below-chance in trajectories.

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The paper evaluates embedding retrieval when surface form and meaning are deliberately separated, testing in two unrelated domains: competition mathematics (500 queries, 117k items) and embodied-agent trajectories (118 queries, 336 trajectories). In mathematics, strict Hit@1 at the heaviest disguise is 0.0%; the correct answer nearly always appears in the top 10 but is outranked by a lexically similar decoy (95.2–99.8% of misses). In trajectories, retrieval performs at or below hypergeometric chance once the gold item involves a different object or receptacle.

A cheap lexical reranker flips sign between domains: it damages mathematical retrieval but improves trajectory retrieval (closing 26–36% of the recoverable gap), providing a diagnostic for whether a benchmark's surface variation is adversarial or incidental. LLM-based rerankers recover 5–76% of the gap but effect sizes and which judge performs best vary with domain, and part of the mathematics gains stem from memorization of well-known competitions. A downstream experiment shows that oracle retrieval and adversarially bad retrieval are indistinguishable (McNemar p = 0.678) because the solver's 69.5% accuracy is largely a truncation proxy (97–100% on finished answers), leaving retrieval no headroom to act.

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