Towards Efficient Random-Order Enumeration for Join Queries

Fuente: arXiv
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Hauptverfasser: Chen, Pengyu, Guo, Zizheng, Yang, Jianwei, Miao, Dongjing
Format: Preprint
Veröffentlicht: 2025
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author Chen, Pengyu
Guo, Zizheng
Yang, Jianwei
Miao, Dongjing
author_facet Chen, Pengyu
Guo, Zizheng
Yang, Jianwei
Miao, Dongjing
contents In many data analysis pipelines, a basic and time-consuming process is to produce join results and feed them into downstream tasks. Numerous enumeration algorithms have been developed for this purpose. To be a statistically meaningful representation of the whole join result, the result tuples are required to be enumerated in uniformly random order. However, existing studies lack an efficient random-order enumeration algorithm with a worst-case runtime guarantee for (cyclic) join queries. In this paper, we study the problem of enumerating the results of a join query in random order. We develop an efficient random-order enumeration algorithm for join queries with no large hidden constants in its complexity, achieving expected $O(\frac{\mathrm{AGM}(Q)}{|Res(Q)|}\log^2|Q|)$ delay, $O(\mathrm{AGM}(Q)\log|Q|)$ total running time after $O(|Q|\log|Q|)$-time index construction, where $|Q|$ is the size of input, $\mathrm{AGM}(Q)$ is the AGM bound, and $|Res(Q)|$ is the size of the join result. We prove that our algorithm is near-optimal in the worst case, under the combinatorial $k$-clique hypothesis. Our algorithm requires no query-specific preprocessing and can be flexibly adapted to many common database indexes with only minor modifications. We also devise two non-trivial techniques to speed up the enumeration, and provide an experimental study on our enumeration algorithm along with the speed-up techniques. The experimental results show that our algorithm, enhanced with the proposed techniques, significantly outperforms existing state-of-the-art methods.
format Preprint
id arxiv_https___arxiv_org_abs_2507_00489
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Towards Efficient Random-Order Enumeration for Join Queries
Chen, Pengyu
Guo, Zizheng
Yang, Jianwei
Miao, Dongjing
Databases
In many data analysis pipelines, a basic and time-consuming process is to produce join results and feed them into downstream tasks. Numerous enumeration algorithms have been developed for this purpose. To be a statistically meaningful representation of the whole join result, the result tuples are required to be enumerated in uniformly random order. However, existing studies lack an efficient random-order enumeration algorithm with a worst-case runtime guarantee for (cyclic) join queries. In this paper, we study the problem of enumerating the results of a join query in random order. We develop an efficient random-order enumeration algorithm for join queries with no large hidden constants in its complexity, achieving expected $O(\frac{\mathrm{AGM}(Q)}{|Res(Q)|}\log^2|Q|)$ delay, $O(\mathrm{AGM}(Q)\log|Q|)$ total running time after $O(|Q|\log|Q|)$-time index construction, where $|Q|$ is the size of input, $\mathrm{AGM}(Q)$ is the AGM bound, and $|Res(Q)|$ is the size of the join result. We prove that our algorithm is near-optimal in the worst case, under the combinatorial $k$-clique hypothesis. Our algorithm requires no query-specific preprocessing and can be flexibly adapted to many common database indexes with only minor modifications. We also devise two non-trivial techniques to speed up the enumeration, and provide an experimental study on our enumeration algorithm along with the speed-up techniques. The experimental results show that our algorithm, enhanced with the proposed techniques, significantly outperforms existing state-of-the-art methods.
title Towards Efficient Random-Order Enumeration for Join Queries
topic Databases
url https://arxiv.org/abs/2507.00489