  Range aggregate queries find frequent application in data analytics. In some
use cases, approximate results are preferred over accurate results if they can
be computed rapidly and satisfy approximation guarantees. Inspired by a recent
indexing approach, we provide means of representing a discrete point data set
by continuous functions that can then serve as compact index structures. More
specifically, we develop a polynomial-based indexing approach, called PolyFit,
for processing approximate range aggregate queries. PolyFit is capable of
supporting multiple types of range aggregate queries, including COUNT, SUM, MIN
and MAX aggregates, with guaranteed absolute and relative error bounds.
Experiment results show that PolyFit is faster and more accurate and compact
than existing learned index structures.
