Dynamic Maintenance of Wavelet-Based Histograms

Summary: Dynamic maintenance of wavelet-based histograms via probabilistic counting and sampling enables fast online updates. The method preserves accuracy under distribution drift and scales to multidimensional histograms, outperforming standard update methods. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID: hcfa281874f84fea9
Venue: VLDB
Year: 2000
Pagerank: 0.00012551491
Overall Rank: 1,006 | 93.26%
DOI: -

Incoming Non-self Citations Over Time

Authors

1. Yossi Matias (Tel Aviv University)
2. Jeffrey Scott Vitter (Duke University)
3. Min Wang (IBM)

BibTeX Citation

@article{matias_vldb00,
        title = {{Dynamic Maintenance of Wavelet-Based Histograms}},
        author = {Matias, Yossi and Vitter, Jeffrey Scott and Wang, Min},
        journal = {PVLDB},
        series = {{VLDB} '00},
        pages = {101--112},
        year = {2000}
}

Incoming Citations (Sorted by Pagerank)

Showing 22 of 22 citing papers.

Rank	Citing Paper	Year	Venue	Pagerank
26	Models and Issues in Data Stream Systems	2002	PODS	0.00051942573
124	Approximate Frequency Counts over Data Streams	2002	VLDB	0.00030503973
254	The History of Histograms (abridged)	2003	VLDB	0.00022999992
316	Surfing Wavelets on Streams: One-Pass Summaries for Approximate Aggregate Queries	2001	VLDB	0.00021238056
374	Approximate Query Processing: Taming the TeraBytes! A Tutorial	2001	VLDB	0.00019698889
745	Dynamic Multidimensional Histograms	2002	SIGMOD	0.00014267268
844	Processing Complex Aggregate Queries over Data Streams	2002	SIGMOD	0.00013498392
935	Dynamic Sample Selection for Approximate Query Processing	2003	SIGMOD	0.00012968914
1,174	Wavelet Synopses with Error Guarantees	2002	SIGMOD	0.0001165008
1,896	CS2: A New Database Synopsis for Query Estimation	2013	SIGMOD	9.4010932e-05
2,563	Tuple Routing Strategies for Distributed Eddies	2003	VLDB	8.2699925e-05
4,138	Selectivity Estimation for Fuzzy String Predicates in Large Data Sets	2005	VLDB	6.7706361e-05
4,401	Beyond Simple Aggregates: Indexing for Summary Queries	2011	PODS	6.6051378e-05
4,438	Deterministic Wavelet Thresholding for Maximum-Error Metrics	2004	PODS	6.5840202e-05
5,056	Lightweight Cardinality Estimation in LSM-based Systems	2018	SIGMOD	6.282339e-05
5,636	XWAVE: Optimal and Approximate Extended Wavelets for Streaming Data	2004	VLDB	6.0385837e-05
5,664	Building Wavelet Histograms on Large Data in MapReduce	2012	VLDB	6.0293278e-05
5,800	Extended Wavelets for Multiple Measures	2003	SIGMOD	5.9735022e-05
7,536	Compact Histograms for Hierarchical Identifiers	2006	VLDB	5.4844135e-05
12,304	Efficient Haar+ Synopsis Construction for the Maximum Absolute Error Measure	2018	VLDB	4.9605343e-05
12,871	A Wavelet Transform for Efficient Consolidation of Sensor Relations with Quality Guarantees	2009	VLDB	4.9605343e-05
13,140	AIMS: An Immersidata Management System	2003	CIDR	4.9605343e-05

Outgoing Citations (Sorted by Pagerank)

Showing 10 of 10 cited papers.

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

Rank	Cited Paper	Year	Venue	Pagerank
36	Accurate Estimation Of The Number Of Tuples Satisfying A Condition	1984	SIGMOD	0.00047770864
37	Improved Histograms for Selectivity Estimation of Range Predicates	1996	SIGMOD	0.00047654188
103	Selectivity Estimation Without the Attribute Value Independence Assumption	1997	VLDB	0.00033847446
119	Equi-Depth Histograms For Estimating Selectivity Factors For Multi-Dimensional Queries	1988	SIGMOD	0.00031291457
171	Wavelet-Based Histograms for Selectivity Estimation	1998	SIGMOD	0.00027063233
222	Approximate Computation of Multidimensional Aggregates of Sparse Data Using Wavelets	1999	SIGMOD	0.00024136952
242	Fast Incremental Maintenance of Approximate Histograms	1997	VLDB	0.00023327437
252	Approximate Medians and other Quantiles in One Pass and with Limited Memory	1998	SIGMOD	0.00023058622
457	Self-tuning Histograms: Building Histograms Without Looking at Data	1999	SIGMOD	0.00017915659
1,080	Multi-dimensional Selectivity Estimation Using Compressed Histogram Information	1999	SIGMOD	0.00012114187

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#	Overall Rank	Paper	Year	Venue
1	222	Approximate Computation of Multidimensional Aggregates of Sparse Data Using Wavelets	1999	SIGMOD
2	3,168	REHIST: Relative Error Histogram Construction Algorithms	2004	VLDB
3	9,705	SHIFT-SPLIT: I/O Efficient Maintenance of Wavelet-Transformed Multidimensional Data	2005	SIGMOD
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