Deterministic Wavelet Thresholding for Maximum-Error Metrics

Summary: Deterministic algorithms for wavelet thresholding that directly minimize maximum absolute/relative reconstruction error, avoiding the failure modes of prior probabilistic schemes. Provides an optimal low-polynomial DP for 1D and polynomial-time approximation schemes with tunable guarantees for multi-D. (summarized by gpt-5-mini on Feb 09 2026)

Paper ID: 1319
Venue: PODS
Year: 2004
Pagerank: 5.9887317e-05
Overall Rank: 4,698 | 67.32%
DOI: -

Incoming Non-self Citations Over Time

Authors

1. Minos Garofalakis
2. Amit Kumar

Incoming Citations (Sorted by Pagerank)

Showing 8 of 8 citing papers.

Rank	Citing Paper	Year	Venue	Pagerank
3,570	Location-Aware Type Ahead Search on Spatial Databases: Semantics and Efficiency	2011	SIGMOD	6.958427e-05
3,719	Space efficiency in Synopsis construction algorithms	2005	VLDB	6.8204683e-05
4,659	One-Pass Wavelet Synopses for Maximum-Error Metrics	2005	VLDB	6.0160083e-05
7,356	GAMPS: Compressing Multi Sensor Data by Grouping and Amplitude Scaling	2009	SIGMOD	4.7529612e-05
7,459	Compact Histograms for Hierarchical Identifiers	2006	VLDB	4.7243492e-05
9,950	Distributed Wavelet Thresholding for Maximum Error Metrics	2016	SIGMOD	4.2421586e-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

Outgoing Citations (Sorted by Pagerank)

Showing 13 of 13 cited papers.

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

Rank	Cited Paper	Year	Venue	Pagerank
14	Online Aggregation	1997	SIGMOD	0.0010801504
211	Join Synopses for Approximate Query Answering	1999	SIGMOD	0.00033981214
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
344	Surfing Wavelets on Streams: One-Pass Summaries for Approximate Aggregate Queries	2001	VLDB	0.00026702512
367	Sequential Sampling Procedures For Query Size Estimation	1992	SIGMOD	0.00025509745
405	Approximate Query Processing Using Wavelets	2000	VLDB	0.00024057494
842	Independence is Good: Dependency-Based Histogram Synopses for High-Dimensional Data	2001	SIGMOD	0.00016031973
996	Approximating Multi-Dimensional Aggregate Range Queries Over Real Attributes	2000	SIGMOD	0.00014741524
1,127	Dynamic Maintenance of Wavelet-Based Histograms	2000	VLDB	0.00013819179
1,400	Wavelet Synopses with Error Guarantees	2002	SIGMOD	0.00012191684
2,661	WALRUS: A Similarity Retrieval Algorithm for Image Databases	1999	SIGMOD	8.3575285e-05
5,783	Extended Wavelets for Multiple Measures	2003	SIGMOD	5.3289633e-05

Semantically Similar Papers

Overall Rank	Paper	Year	Venue	Pagerank
3,310	Optimal and Approximate Computation of Summary Statistics for Range Aggregates	2001	PODS	7.2408955e-05
344	Surfing Wavelets on Streams: One-Pass Summaries for Approximate Aggregate Queries	2001	VLDB	0.00026702512
222	Wavelet-Based Histograms for Selectivity Estimation	1998	SIGMOD	0.00032828302
11,751	Efficient Haar+ Synopsis Construction for the Maximum Absolute Error Measure	2018	VLDB	4.1945683e-05
2,748	REHIST: Relative Error Histogram Construction Algorithms	2004	VLDB	8.1785955e-05
5,783	Extended Wavelets for Multiple Measures	2003	SIGMOD	5.3289633e-05
405	Approximate Query Processing Using Wavelets	2000	VLDB	0.00024057494
9,950	Distributed Wavelet Thresholding for Maximum Error Metrics	2016	SIGMOD	4.2421586e-05
4,659	One-Pass Wavelet Synopses for Maximum-Error Metrics	2005	VLDB	6.0160083e-05
1,400	Wavelet Synopses with Error Guarantees	2002	SIGMOD	0.00012191684