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News/What Limits Does Quantization Place on Dense Top-$k$ Retrieval? A Theoretical Study
arxiv
PublishedJune 11, 2026 at 4:00 AM

What Limits Does Quantization Place on Dense Top-$k$ Retrieval? A Theoretical Study

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arXiv:2606.11780v1 Announce Type: cross Abstract: We establish conditions for embedding a corpus of $N$ documents as $d$-dimensional vectors such that every $k$-subset $S \subseteq [N]$ is realizable as a result of top-$k$ retrieval by some query vector. Recent work shows that $d = O(k)$ suffices fo

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