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: 9225
Venue: VLDB
Year: 2004
Pagerank: 8.1723418e-05
Overall Rank: 2,752 | 80.88%
DOI: -

Incoming Non-self Citations Over Time

Authors

Incoming Citations (Sorted by Pagerank)

Showing 9 of 9 citing papers.

Rank	Citing Paper	Year	Venue	Pagerank
2,918	DDSketch: A Fast and Fully-Mergeable Quantile Sketch with Relative-Error Guarantees	2019	VLDB	7.9043213e-05
3,720	Space efficiency in Synopsis construction algorithms	2005	VLDB	6.8139746e-05
4,656	One-Pass Wavelet Synopses for Maximum-Error Metrics	2005	VLDB	6.0101164e-05
5,832	Fast and Near–Optimal Algorithms for Approximating Distributions by Histograms	2015	PODS	5.3085972e-05
8,092	Probabilistic Histograms for Probabilistic Data	2009	VLDB	4.5847443e-05
9,059	Optimality and Scalability in Lattice Histogram Construction	2009	VLDB	4.3997447e-05
9,508	Hierarchically Organized Skew-Tolerant Histograms for Geographic Data Objects	2010	SIGMOD	4.3300131e-05
11,829	Are Few Bins Enough: Testing Histogram Distributions	2016	PODS	4.1905499e-05
12,482	FluxCapacitor: Efficient Time-Travel Text Search	2007	VLDB	4.1905499e-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
223	Wavelet-Based Histograms for Selectivity Estimation	1998	SIGMOD	0.00032829841
243	Locally Adaptive Dimensionality Reduction for Indexing Large Time Series Databases	2001	SIGMOD	0.00031052437
275	Approximate Computation of Multidimensional Aggregates of Sparse Data Using Wavelets	1999	SIGMOD	0.00029381206
326	Optimal Histograms with Quality Guarantees	1998	VLDB	0.0002737538
328	Balancing Histogram Optimality and Practicality for Query Result Size Estimation	1995	SIGMOD	0.00027301497
431	The Aqua Approximate Query Answering System	1999	SIGMOD	0.00023397171
801	Universality of Serial Histograms	1993	VLDB	0.00016440976
1,400	Wavelet Synopses with Error Guarantees	2002	SIGMOD	0.0001219602
3,292	Optimal and Approximate Computation of Summary Statistics for Range Aggregates	2001	PODS	7.2598265e-05
3,621	Fast Algorithms For Hierarchical Range Histogram Construction	2002	PODS	6.9022467e-05
4,018	Optimal Histograms for Hierarchical Range Queries (Extended Abstract)	2000	PODS	6.5250686e-05

Semantically Similar Papers

Overall Rank	Paper	Year	Venue	Pagerank
1,116	Global Optimization of Histograms	2001	SIGMOD	0.00013863484
3,621	Fast Algorithms For Hierarchical Range Histogram Construction	2002	PODS	6.9022467e-05
1,400	Wavelet Synopses with Error Guarantees	2002	SIGMOD	0.0001219602
5,832	Fast and Near–Optimal Algorithms for Approximating Distributions by Histograms	2015	PODS	5.3085972e-05
4,696	Deterministic Wavelet Thresholding for Maximum-Error Metrics	2004	PODS	5.9843254e-05
326	Optimal Histograms with Quality Guarantees	1998	VLDB	0.0002737538
416	Approximate Query Processing Using Wavelets	2000	VLDB	0.00023773968
360	Histogram-Based Approximation of Set-Valued Query Answers	1999	VLDB	0.00025768448
3,292	Optimal and Approximate Computation of Summary Statistics for Range Aggregates	2001	PODS	7.2598265e-05
223	Wavelet-Based Histograms for Selectivity Estimation	1998	SIGMOD	0.00032829841