Space-Efficient Data-Analysis Queries on Grids
Gonzalo Navarro, Yakov Nekrich, and Luís Russo
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.