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• W1672725576 abstract "Let D be a collection of D documents, which are strings over an alphabet of size σ, of total length n. We describe a data structure that uses linear space and and reports k most relevant documents that contain a query pattern P, which is a string of length p, in time O(p/logn+k), which is optimal in the RAM model in the general case where lgD = �(logn), and involves a novel RAM-optimal suffix tree search. Our construction supports an ample set of important relevance measures, such as the number of times P appears in a document (called term frequency), a fixed document importance, and the minimal distance between two occurrences of P in a document. When lgD = o(logn), we show how to reduce the space of the data structure from O(nlogn) to O(n(logσ+logD+loglogn)) bits, and to O(n(logσ+logD)) bits in the case of the popular term frequency measure of relevance, at the price of an additive term O(log nlogσ) in the query time, for any constant e > 0. We also consider the dynamic scenario, where documents can be inserted and deleted from the collection. We obtain linear space and query time O(p(loglogn) 2 /logn+logn+kloglogk), whereas insertions and deletions require O(log 1+ n) time per symbol, for any constant e > 0. Finally, we consider an extended static scenario where an extra parameter par(P,d) is de- fined, and the query must retrieve only documents d such that par(P,d) ∈ (τ1,τ2), where this range is specified at query time. We solve these queries using linear space and O(p/logn + log 1+ n + k log n) time, for any constant e > 0. Our technique is to translate these top-k problems into multidimensional geometric search problems. As an additional bonus, we describe some improvements to those problems." @default.
• W1672725576 created "2016-06-24" @default.
• W1672725576 creator A5050513868 @default.
• W1672725576 creator A5080743153 @default.
• W1672725576 date "2013-07-25" @default.
• W1672725576 modified "2023-09-27" @default.
• W1672725576 title "Optimal Top-k Document Retrieval ∗" @default.
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