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: h8b36a7a04cff2775
Venue: VLDB
Year: 2005
Pagerank: 6.6925708e-05
Overall Rank: 4,272 | 71.28%
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
4,324	On Biased Reservoir Sampling in the Presence of Stream Evolution	2006	VLDB	6.6656407e-05
4,662	Time Series Compressibility and Privacy	2007	VLDB	6.4812985e-05
4,932	Space efficiency in Synopsis construction algorithms	2005	VLDB	6.3483816e-05
7,512	Compact Histograms for Hierarchical Identifiers	2006	VLDB	5.504973e-05
9,387	Optimality and Scalability in Lattice Histogram Construction	2009	VLDB	5.1868213e-05
10,316	Distributed Wavelet Thresholding for Maximum Error Metrics	2016	SIGMOD	5.0377739e-05
12,005	In the Land of Data Streams where Synopses are Missing, One Framework to Bring Them All	2021	VLDB	4.9793485e-05
12,255	Efficient Haar+ Synopsis Construction for the Maximum Absolute Error Measure	2018	VLDB	4.9793485e-05
12,822	A Wavelet Transform for Efficient Consolidation of Sensor Relations with Quality Guarantees	2009	VLDB	4.9793485e-05
12,868	LEE WAVE: Level-Wise Distribution of Wavelet Coefficients for Processing kNN Queries over Distributed Streams	2008	VLDB	4.9793485e-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
169	Wavelet-Based Histograms for Selectivity Estimation	1998	SIGMOD	0.00027134723
222	Approximate Computation of Multidimensional Aggregates of Sparse Data Using Wavelets	1999	SIGMOD	0.00024218831
309	Approximate Query Processing Using Wavelets	2000	VLDB	0.00021384073
346	Sequential Sampling Procedures For Query Size Estimation	1992	SIGMOD	0.00020329113
1,173	Wavelet Synopses with Error Guarantees	2002	SIGMOD	0.00011686985
3,163	REHIST: Relative Error Histogram Construction Algorithms	2004	VLDB	7.5789852e-05
4,416	Deterministic Wavelet Thresholding for Maximum-Error Metrics	2004	PODS	6.6089486e-05
5,390	Adaptive, Hands-Off Stream Mining	2003	VLDB	6.1508226e-05
5,622	XWAVE: Optimal and Approximate Extended Wavelets for Streaming Data	2004	VLDB	6.0614658e-05

Semantically Similar Papers

#	Overall Rank	Paper	Year	Venue
1	12,822	A Wavelet Transform for Efficient Consolidation of Sensor Relations with Quality Guarantees	2009	VLDB
2	5,652	Building Wavelet Histograms on Large Data in MapReduce	2012	VLDB
3	309	Approximate Query Processing Using Wavelets	2000	VLDB
4	5,622	XWAVE: Optimal and Approximate Extended Wavelets for Streaming Data	2004	VLDB
5	5,785	Extended Wavelets for Multiple Measures	2003	SIGMOD
6	12,255	Efficient Haar+ Synopsis Construction for the Maximum Absolute Error Measure	2018	VLDB
7	312	Surfing Wavelets on Streams: One-Pass Summaries for Approximate Aggregate Queries	2001	VLDB
8	1,173	Wavelet Synopses with Error Guarantees	2002	SIGMOD
9	10,316	Distributed Wavelet Thresholding for Maximum Error Metrics	2016	SIGMOD
10	4,416	Deterministic Wavelet Thresholding for Maximum-Error Metrics	2004	PODS