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Cache-Oblivious Dynamic Dictionaries: Tradeoffs for Update and Query Performance

This paper presents a detailed analysis of cache-oblivious dynamic dictionaries. We explore the tradeoffs between update and query performance within a hierarchical structure using subboxes. The proposed data structure efficiently organizes data while considering memory layouts for both slow and fast memory. We discuss the implications of our approach for managing arbitrary order storage of subboxes and preallocated unused spaces. The study is supported by previous research in the area, emphasizing the significance of effective caching strategies in algorithmic design.

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Cache-Oblivious Dynamic Dictionaries: Tradeoffs for Update and Query Performance

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  1. ... Erik D. Demaine MIT GerthStølting Brodal Aarhus University size-xinput buffer √N … Upper level: at mostx1/2/4subboxes Cache-Oblivious Dynamic Dictionaries with Update/Query Tradeoffs √x-box N … size-x3/2middle buffer √N … Lower level: at mostx/4subboxes √x-box B Memory layout Slow memory 14 N √N size-x2output buffer Fast memory CPU 28 [Prokop 1999] Block 5 16 22 4 19 M/B 13 27 3 7 18 … … 2 input middle output 10 24 17 Subboxesstored contiguously in arbitrary order Unused (currently empty) subboxes are preallocated Binary search tree log2B log2N Recursive memory layout B … Search path [Brodal, Demaine, Iacono, Fineman, Langerrman, Munro 2010] x-box MADALGO – Center for Massive Data Algorithmics, a Center of the Danish National Research Foundation

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