We consider various data-analysis queries on two-dimensional points. We give new space/time tradeoffs over previous work on geometric queries such as dominance and rectangle visibility, and on semigroup and group queries such as sum, average, variance, minimum and maximum. We also introduce new solutions to queries less frequently considered in the literature such as two-dimensional quantiles, majorities, successor/predecessor, mode, and various top-k queries, considering static and dynamic scenarios.
Navarro et al. REF introduced compact data structures for various queries on two-dimensional weighted points, including range top-k queries.
Space-Efficient Data-Analysis Queries on Grids
ArXiv
ArXiv
Computer Science Mathematics