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Is Dimensionality a Barrier for Retrieval Models?

cs.LG · 2026-05-22 · unverdicted · novelty 8.0

Dimension d = O(m^{-2} log n) nearly achieves the optimal margin m^rd(+∞, A) for retrieval embeddings, with matching lower bounds showing d = O(k log(n/k)) suffices and is necessary for m = Θ(k^{-1/2}) on k-sparse query matrices.

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  • Is Dimensionality a Barrier for Retrieval Models? cs.LG · 2026-05-22 · unverdicted · none · ref 128

    Dimension d = O(m^{-2} log n) nearly achieves the optimal margin m^rd(+∞, A) for retrieval embeddings, with matching lower bounds showing d = O(k log(n/k)) suffices and is necessary for m = Θ(k^{-1/2}) on k-sparse query matrices.