REHIST: Relative Error Histogram Construction Algorithms

Summary: REHIST constructs histograms under relative-error metrics, addressing the limits of absolute-error histograms and wavelet schemes. It provides optimal and fast approximation algorithms with guarantees, plus empirical validation on synthetic and real data showing improved relative-error accuracy. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID: 9415
Venue: VLDB
Year: 2004
Pagerank: 7.7470414e-05
Overall Rank: 3,111 | 78.66%
DOI: 10.1016/B978-012088469-8.50029-2

Incoming Non-self Citations Over Time

Authors

1. Sudipto Guha (University of Pennsylvania)
2. Kyuseok Shim (Seoul National University)
3. Jungchul Woo (Seoul National University)

BibTeX Citation

@article{guha_vldb04,
        title = {{REHIST: Relative Error Histogram Construction Algorithms}},
        author = {Guha, Sudipto and Shim, Kyuseok and Woo, Jungchul},
        journal = {PVLDB},
        series = {{VLDB} '04},
        pages = {300--311},
        doi = {10.1016/B978-012088469-8.50029-2},
        url = {https://doi.org/10.1016/B978-012088469-8.50029-2},
        year = {2004}
}

Incoming Citations (Sorted by Pagerank)

Showing 9 of 9 citing papers.

Rank	Citing Paper	Year	Venue	Pagerank
2,455	DDSketch: A Fast and Fully-Mergeable Quantile Sketch with Relative-Error Guarantees	2019	VLDB	8.5552968e-05
4,188	One-Pass Wavelet Synopses for Maximum-Error Metrics	2005	VLDB	6.8448865e-05
4,819	Space efficiency in Synopsis construction algorithms	2005	VLDB	6.4940349e-05
5,421	Fast and Near–Optimal Algorithms for Approximating Distributions by Histograms	2015	PODS	6.2245831e-05
8,059	Probabilistic Histograms for Probabilistic Data	2009	VLDB	5.4979799e-05
9,209	Optimality and Scalability in Lattice Histogram Construction	2009	VLDB	5.3058708e-05
9,642	Hierarchically Organized Skew-Tolerant Histograms for Geographic Data Objects	2010	SIGMOD	5.2434488e-05
12,024	Are Few Bins Enough: Testing Histogram Distributions	2016	PODS	5.093636e-05
12,667	FluxCapacitor: Efficient Time-Travel Text Search	2007	VLDB	5.093636e-05

Outgoing Citations (Sorted by Pagerank)

Showing 11 of 11 cited papers.

Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.

Rank	Cited Paper	Year	Venue	Pagerank
168	Wavelet-Based Histograms for Selectivity Estimation	1998	SIGMOD	0.00027541029
190	Locally Adaptive Dimensionality Reduction for Indexing Large Time Series Databases	2001	SIGMOD	0.00026105472
213	Approximate Computation of Multidimensional Aggregates of Sparse Data Using Wavelets	1999	SIGMOD	0.00024723025
267	Optimal Histograms with Quality Guarantees	1998	VLDB	0.00022798161
274	Balancing Histogram Optimality and Practicality for Query Result Size Estimation	1995	SIGMOD	0.00022645621
327	The Aqua Approximate Query Answering System	1999	SIGMOD	0.00021091539
786	Universality of Serial Histograms	1993	VLDB	0.00014053885
1,156	Wavelet Synopses with Error Guarantees	2002	SIGMOD	0.00011929041
3,241	Optimal and Approximate Computation of Summary Statistics for Range Aggregates	2001	PODS	7.6057671e-05
3,575	Optimal Histograms for Hierarchical Range Queries (Extended Abstract)	2000	PODS	7.2946291e-05
4,889	Fast Algorithms For Hierarchical Range Histogram Construction	2002	PODS	6.4600939e-05

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2	4,889	Fast Algorithms For Hierarchical Range Histogram Construction	2002	PODS
3	1,156	Wavelet Synopses with Error Guarantees	2002	SIGMOD
4	5,421	Fast and Near–Optimal Algorithms for Approximating Distributions by Histograms	2015	PODS
5	4,325	Deterministic Wavelet Thresholding for Maximum-Error Metrics	2004	PODS
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9	3,241	Optimal and Approximate Computation of Summary Statistics for Range Aggregates	2001	PODS
10	168	Wavelet-Based Histograms for Selectivity Estimation	1998	SIGMOD