One-Pass Wavelet Synopses for Maximum-Error Metrics

Summary: One-pass wavelet thresholding for maximum-error synopses on static and streaming data. Efficient, near-optimal algorithms with small space outperform costly polynomial-time schemes in both regimes, enabling scalable, accurate summaries. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID: 9323
Venue: VLDB
Year: 2005
Pagerank: 6.0160083e-05
Overall Rank: 4,659 | 67.59%
DOI: -

Incoming Non-self Citations Over Time

Authors

1. Panagiotis Karras
2. Nikos Mamoulis

Incoming Citations (Sorted by Pagerank)

Showing 10 of 10 citing papers.

Rank	Citing Paper	Year	Venue	Pagerank
3,719	Space efficiency in Synopsis construction algorithms	2005	VLDB	6.8204683e-05
3,783	Time Series Compressibility and Privacy	2007	VLDB	6.7714995e-05
4,350	On Biased Reservoir Sampling in the Presence of Stream Evolution	2006	VLDB	6.2645054e-05
7,459	Compact Histograms for Hierarchical Identifiers	2006	VLDB	4.7243492e-05
9,061	Optimality and Scalability in Lattice Histogram Construction	2009	VLDB	4.4039656e-05
9,950	Distributed Wavelet Thresholding for Maximum Error Metrics	2016	SIGMOD	4.2421586e-05
11,502	In the Land of Data Streams where Synopses are Missing, One Framework to Bring Them All	2021	VLDB	4.1945683e-05
11,751	Efficient Haar+ Synopsis Construction for the Maximum Absolute Error Measure	2018	VLDB	4.1945683e-05
12,338	A Wavelet Transform for Efficient Consolidation of Sensor Relations with Quality Guarantees	2009	VLDB	4.1945683e-05
12,385	LeeWave: Level-Wise Distribution of Wavelet Coefficients for Processing kNN Queries over Distributed Streams	2008	VLDB	4.1945683e-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
222	Wavelet-Based Histograms for Selectivity Estimation	1998	SIGMOD	0.00032828302
273	Approximate Computation of Multidimensional Aggregates of Sparse Data Using Wavelets	1999	SIGMOD	0.00029390945
367	Sequential Sampling Procedures For Query Size Estimation	1992	SIGMOD	0.00025509745
405	Approximate Query Processing Using Wavelets	2000	VLDB	0.00024057494
1,400	Wavelet Synopses with Error Guarantees	2002	SIGMOD	0.00012191684
2,748	REHIST: Relative Error Histogram Construction Algorithms	2004	VLDB	8.1785955e-05
4,698	Deterministic Wavelet Thresholding for Maximum-Error Metrics	2004	PODS	5.9887317e-05
5,481	Adaptive, Hands-Off Stream Mining	2003	VLDB	5.4843702e-05
5,579	XWAVE: Optimal and Approximate Extended Wavelets for Streaming Data	2004	VLDB	5.4245689e-05

Semantically Similar Papers

Overall Rank	Paper	Year	Venue	Pagerank
12,338	A Wavelet Transform for Efficient Consolidation of Sensor Relations with Quality Guarantees	2009	VLDB	4.1945683e-05
405	Approximate Query Processing Using Wavelets	2000	VLDB	0.00024057494
5,903	Building Wavelet Histograms on Large Data in MapReduce	2012	VLDB	5.2791351e-05
5,579	XWAVE: Optimal and Approximate Extended Wavelets for Streaming Data	2004	VLDB	5.4245689e-05
5,783	Extended Wavelets for Multiple Measures	2003	SIGMOD	5.3289633e-05
11,751	Efficient Haar+ Synopsis Construction for the Maximum Absolute Error Measure	2018	VLDB	4.1945683e-05
344	Surfing Wavelets on Streams: One-Pass Summaries for Approximate Aggregate Queries	2001	VLDB	0.00026702512
1,400	Wavelet Synopses with Error Guarantees	2002	SIGMOD	0.00012191684
9,950	Distributed Wavelet Thresholding for Maximum Error Metrics	2016	SIGMOD	4.2421586e-05
4,698	Deterministic Wavelet Thresholding for Maximum-Error Metrics	2004	PODS	5.9887317e-05