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PolyFit: Polynomial-based Indexing Approach for Fast Approximate Range Aggregate Queries

Databases 2021-02-11 v7

Abstract

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.

Keywords

Cite

@article{arxiv.2003.08031,
  title  = {PolyFit: Polynomial-based Indexing Approach for Fast Approximate Range Aggregate Queries},
  author = {Zhe Li and Tsz Nam Chan and Man Lung Yiu and Christian S. Jensen},
  journal= {arXiv preprint arXiv:2003.08031},
  year   = {2021}
}

Comments

13 pages

R2 v1 2026-06-23T14:18:12.004Z