One-Pass Wavelet Synopses for Maximum-Error Metrics

Summary: One-pass, frugal-space wavelet thresholding for maximum-error synopses in static and streaming settings. Near-optimal approximations avoid prior polynomial-time costs while remaining practical for massive data. (summarized by gpt-5.6-luna on Jul 24 2026)

Paper ID: 9514
Venue: VLDB
Year: 2005
Pagerank: 6.8448865e-05
Overall Rank: 4,188 | 71.27%
DOI: -

Incoming Non-self Citations Over Time

Authors

1. Panagiotis Karras (University of Hong Kong)
2. Nikos Mamoulis (University of Hong Kong)

BibTeX Citation

@article{karras_vldb05,
        title = {{One-Pass Wavelet Synopses for Maximum-Error Metrics}},
        author = {Karras, Panagiotis and Mamoulis, Nikos},
        journal = {PVLDB},
        series = {{VLDB} '05},
        year = {2005}
}

Incoming Citations (Sorted by Pagerank)

Showing 10 of 10 citing papers.

Rank	Citing Paper	Year	Venue	Pagerank
4,229	On Biased Reservoir Sampling in the Presence of Stream Evolution	2006	VLDB	6.8181027e-05
4,629	Time Series Compressibility and Privacy	2007	VLDB	6.5960717e-05
4,819	Space efficiency in Synopsis construction algorithms	2005	VLDB	6.4940349e-05
7,375	Compact Histograms for Hierarchical Identifiers	2006	VLDB	5.6299286e-05
9,209	Optimality and Scalability in Lattice Histogram Construction	2009	VLDB	5.3058708e-05
10,094	Distributed Wavelet Thresholding for Maximum Error Metrics	2016	SIGMOD	5.1530576e-05
11,700	In the Land of Data Streams where Synopses are Missing, One Framework to Bring Them All	2021	VLDB	5.093636e-05
11,957	Efficient Haar+ Synopsis Construction for the Maximum Absolute Error Measure	2018	VLDB	5.093636e-05
12,532	A Wavelet Transform for Efficient Consolidation of Sensor Relations with Quality Guarantees	2009	VLDB	5.093636e-05
12,578	LEE WAVE: Level-Wise Distribution of Wavelet Coefficients for Processing kNN Queries over Distributed Streams	2008	VLDB	5.093636e-05

Outgoing Citations (Sorted by Pagerank)

Showing 9 of 9 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
213	Approximate Computation of Multidimensional Aggregates of Sparse Data Using Wavelets	1999	SIGMOD	0.00024723025
307	Approximate Query Processing Using Wavelets	2000	VLDB	0.00021792475
339	Sequential Sampling Procedures For Query Size Estimation	1992	SIGMOD	0.00020723773
1,156	Wavelet Synopses with Error Guarantees	2002	SIGMOD	0.00011929041
3,111	REHIST: Relative Error Histogram Construction Algorithms	2004	VLDB	7.7470414e-05
4,325	Deterministic Wavelet Thresholding for Maximum-Error Metrics	2004	PODS	6.7605683e-05
5,272	Adaptive, Hands-Off Stream Mining	2003	VLDB	6.2899363e-05
5,490	XWAVE: Optimal and Approximate Extended Wavelets for Streaming Data	2004	VLDB	6.200262e-05

Semantically Similar Papers

#	Overall Rank	Paper	Year	Venue
1	12,532	A Wavelet Transform for Efficient Consolidation of Sensor Relations with Quality Guarantees	2009	VLDB
2	307	Approximate Query Processing Using Wavelets	2000	VLDB
3	5,522	Building Wavelet Histograms on Large Data in MapReduce	2012	VLDB
4	5,490	XWAVE: Optimal and Approximate Extended Wavelets for Streaming Data	2004	VLDB
5	5,650	Extended Wavelets for Multiple Measures	2003	SIGMOD
6	11,957	Efficient Haar+ Synopsis Construction for the Maximum Absolute Error Measure	2018	VLDB
7	311	Surfing Wavelets on Streams: One-Pass Summaries for Approximate Aggregate Queries	2001	VLDB
8	1,156	Wavelet Synopses with Error Guarantees	2002	SIGMOD
9	10,094	Distributed Wavelet Thresholding for Maximum Error Metrics	2016	SIGMOD
10	4,325	Deterministic Wavelet Thresholding for Maximum-Error Metrics	2004	PODS