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On Distribution Dependent Sub-Logarithmic Query Time of Learned Indexing

ICML 2023 · Learning theory and algorithms › Sample complexity · approach: Coresets and sublinear estimation · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use PCA Index with O(n^{1+\epsilon}) space overhead instead of binary searchRank queries under bounded p.d.f. · Rank queriesexpected query time: O(log n) -> O(1)Helped
Use RDA Index with O(n\log n) space overhead instead of binary searchRank queries under bounded, non-zero p.d.f. · Rank queriesexpected query time: O(log n) -> O(log log n)Helped
Use RDS Algorithm with constant space instead of binary searchRank queries with efficiently computable c.d.f. · Rank queriesexpected query time: O(log n) -> O(log log n)Helped

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