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: h283cbc5c75704613
Venue: PODS
Year: 2004
Pagerank: 6.6089486e-05
Overall Rank: 4,416 | 70.32%
DOI: 10.1145/1055558.1055582

Incoming Non-self Citations Over Time

Authors

1. Minos Garofalakis (AT&T)
2. Amit Kumar (Indian Institute of Technology Delhi)

BibTeX Citation

@inproceedings{garofalakis_pods04,
        address = {New York, NY, USA},
        series = {{PODS} '04},
        title = {{Deterministic Wavelet Thresholding for Maximum-Error Metrics}},
        url = {https://dl.acm.org/doi/10.1145/1055558.1055582},
        doi = {10.1145/1055558.1055582},
        booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
        publisher = {Association for Computing Machinery},
        author = {Garofalakis, Minos and Kumar, Amit},
        year = {2004}
}

Incoming Citations (Sorted by Pagerank)

Showing 8 of 8 citing papers.

Rank	Citing Paper	Year	Venue	Pagerank
3,605	Location-Aware Type Ahead Search on Spatial Databases: Semantics and Efficiency	2011	SIGMOD	7.1701802e-05
4,272	One-Pass Wavelet Synopses for Maximum-Error Metrics	2005	VLDB	6.6925708e-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
7,553	GAMPS: Compressing Multi Sensor Data by Grouping and Amplitude Scaling	2009	SIGMOD	5.4980306e-05
10,316	Distributed Wavelet Thresholding for Maximum Error Metrics	2016	SIGMOD	5.0377739e-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

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
9	Online Aggregation	1997	SIGMOD	0.00076195956
138	Join Synopses for Approximate Query Answering	1999	SIGMOD	0.00029627449
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
312	Surfing Wavelets on Streams: One-Pass Summaries for Approximate Aggregate Queries	2001	VLDB	0.00021311793
346	Sequential Sampling Procedures For Query Size Estimation	1992	SIGMOD	0.00020329113
701	Independence is Good: Dependency-Based Histogram Synopses for High-Dimensional Data	2001	SIGMOD	0.00014680907
866	Approximating Multi-Dimensional Aggregate Range Queries Over Real Attributes	2000	SIGMOD	0.00013381261
1,004	Dynamic Maintenance of Wavelet-Based Histograms	2000	VLDB	0.00012594522
1,173	Wavelet Synopses with Error Guarantees	2002	SIGMOD	0.00011686985
3,332	WALRUS: A Similarity Retrieval Algorithm for Image Databases	1999	SIGMOD	7.4163853e-05
5,785	Extended Wavelets for Multiple Measures	2003	SIGMOD	5.9961546e-05

Semantically Similar Papers

#	Overall Rank	Paper	Year	Venue
1	3,305	Optimal and Approximate Computation of Summary Statistics for Range Aggregates	2001	PODS
2	312	Surfing Wavelets on Streams: One-Pass Summaries for Approximate Aggregate Queries	2001	VLDB
3	169	Wavelet-Based Histograms for Selectivity Estimation	1998	SIGMOD
4	12,255	Efficient Haar+ Synopsis Construction for the Maximum Absolute Error Measure	2018	VLDB
5	3,163	REHIST: Relative Error Histogram Construction Algorithms	2004	VLDB
6	5,785	Extended Wavelets for Multiple Measures	2003	SIGMOD
7	309	Approximate Query Processing Using Wavelets	2000	VLDB
8	10,316	Distributed Wavelet Thresholding for Maximum Error Metrics	2016	SIGMOD
9	4,272	One-Pass Wavelet Synopses for Maximum-Error Metrics	2005	VLDB
10	1,173	Wavelet Synopses with Error Guarantees	2002	SIGMOD