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: 1318
Venue: PODS
Year: 2004
Pagerank: 6.7605683e-05
Overall Rank: 4,325 | 70.33%
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
3,534	Location-Aware Type Ahead Search on Spatial Databases: Semantics and Efficiency	2011	SIGMOD	7.3347488e-05
4,188	One-Pass Wavelet Synopses for Maximum-Error Metrics	2005	VLDB	6.8448865e-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
7,414	GAMPS: Compressing Multi Sensor Data by Grouping and Amplitude Scaling	2009	SIGMOD	5.624223e-05
10,094	Distributed Wavelet Thresholding for Maximum Error Metrics	2016	SIGMOD	5.1530576e-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

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	0.00077458002
136	Join Synopses for Approximate Query Answering	1999	SIGMOD	0.00030123303
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
311	Surfing Wavelets on Streams: One-Pass Summaries for Approximate Aggregate Queries	2001	VLDB	0.00021760621
339	Sequential Sampling Procedures For Query Size Estimation	1992	SIGMOD	0.00020723773
692	Independence is Good: Dependency-Based Histogram Synopses for High-Dimensional Data	2001	SIGMOD	0.00014919816
850	Approximating Multi-Dimensional Aggregate Range Queries Over Real Attributes	2000	SIGMOD	0.00013619394
977	Dynamic Maintenance of Wavelet-Based Histograms	2000	VLDB	0.00012864017
1,156	Wavelet Synopses with Error Guarantees	2002	SIGMOD	0.00011929041
3,264	WALRUS: A Similarity Retrieval Algorithm for Image Databases	1999	SIGMOD	7.5841142e-05
5,650	Extended Wavelets for Multiple Measures	2003	SIGMOD	6.1337629e-05

Semantically Similar Papers

#	Overall Rank	Paper	Year	Venue
1	3,241	Optimal and Approximate Computation of Summary Statistics for Range Aggregates	2001	PODS
2	311	Surfing Wavelets on Streams: One-Pass Summaries for Approximate Aggregate Queries	2001	VLDB
3	168	Wavelet-Based Histograms for Selectivity Estimation	1998	SIGMOD
4	11,957	Efficient Haar+ Synopsis Construction for the Maximum Absolute Error Measure	2018	VLDB
5	3,111	REHIST: Relative Error Histogram Construction Algorithms	2004	VLDB
6	5,650	Extended Wavelets for Multiple Measures	2003	SIGMOD
7	307	Approximate Query Processing Using Wavelets	2000	VLDB
8	10,094	Distributed Wavelet Thresholding for Maximum Error Metrics	2016	SIGMOD
9	4,188	One-Pass Wavelet Synopses for Maximum-Error Metrics	2005	VLDB
10	1,156	Wavelet Synopses with Error Guarantees	2002	SIGMOD