Building Wavelet Histograms on Large Data in MapReduce

Summary: Proposes exact and approximate wavelet histogram algorithms for MapReduce, cutting communication and runtime vs naive approaches. Implemented in Hadoop and evaluated on a 16-node cluster with real and synthetic data, showing large improvements. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID: 10348
Venue: VLDB
Year: 2012
Pagerank: 5.2791351e-05
Overall Rank: 5,903 | 58.94%
DOI: -

Incoming Non-self Citations Over Time

Authors

Incoming Citations (Sorted by Pagerank)

Showing 7 of 7 citing papers.

Rank	Citing Paper	Year	Venue	Pagerank
1,737	QuickSel: Quick Selectivity Learning with Mixture Models	2020	SIGMOD	0.00010720294
2,674	Minimal MapReduce Algorithms	2013	SIGMOD	8.3328645e-05
3,703	Multi-Query Optimization in MapReduce Framework	2014	VLDB	6.8289978e-05
7,534	Enabling Efficient and General Subpopulation Analytics in Multidimensional Data Streams	2022	VLDB	4.7180004e-05
8,948	One Seed, Two Birds: A Unified Learned Structure for Exact and Approximate Counting	2024	SIGMOD	4.423786e-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

Outgoing Citations (Sorted by Pagerank)

Showing 22 of 22 cited papers.

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

Rank	Cited Paper	Year	Venue	Pagerank
3	Pig Latin: A Not-So-Foreign Language for Data Processing	2008	SIGMOD	0.0024183614
7	Optimal Aggregation Algorithms for Middleware [Extended Abstract]	2001	PODS	0.0015496097
22	SCOPE: Easy and Efficient Parallel Processing of Massive Data Sets	2008	VLDB	0.0008456613
42	A Comparison of Approaches to Large-Scale Data Analysis	2009	SIGMOD	0.00073498298
64	Improved Histograms for Selectivity Estimation of Range Predicates	1996	SIGMOD	0.00063612837
70	Hive - A Warehousing Solution Over a Map-Reduce Framework	2009	VLDB	0.00059533166
157	HadoopDB: An Architectural Hybrid of MapReduce and DBMS Technologies for Analytical Workloads	2009	VLDB	0.00040397359
168	MAD Skills: New Analysis Practices for Big Data	2009	VLDB	0.00038946305
222	Wavelet-Based Histograms for Selectivity Estimation	1998	SIGMOD	0.00032828302
326	Optimal Histograms with Quality Guarantees	1998	VLDB	0.00027358981
344	Surfing Wavelets on Streams: One-Pass Summaries for Approximate Aggregate Queries	2001	VLDB	0.00026702512
405	Approximate Query Processing Using Wavelets	2000	VLDB	0.00024057494
447	Efficient Parallel Set-Similarity Joins Using MapReduce	2010	SIGMOD	0.00022900171
780	Building a High-Level Dataflow System on top of Map-Reduce: The Pig Experience	2009	VLDB	0.00016775082
794	Hadoop++: Making a Yellow Elephant Run Like a Cheetah (Without It Even Noticing)	2010	VLDB	0.00016605103
835	Finding Frequent Items in Data Streams	2008	VLDB	0.00016109621
1,127	Dynamic Maintenance of Wavelet-Based Histograms	2000	VLDB	0.00013819179
1,400	Wavelet Synopses with Error Guarantees	2002	SIGMOD	0.00012191684
1,615	The Performance of MapReduce: An In-depth Study	2010	VLDB	0.00011132319
2,736	Online Aggregation and Continuous Query support in MapReduce	2010	SIGMOD	8.2043187e-05
2,989	KLEE: A Framework for Distributed Top-k Query Algorithms	2005	VLDB	7.7733083e-05
6,431	Finding Global Icebergs over Distributed Data Sets	2006	PODS	5.0654592e-05

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Overall Rank	Paper	Year	Venue	Pagerank
2,476	A Platform for Scalable One-Pass Analytics using MapReduce	2011	SIGMOD	8.6960139e-05
3,310	Optimal and Approximate Computation of Summary Statistics for Range Aggregates	2001	PODS	7.2408955e-05
222	Wavelet-Based Histograms for Selectivity Estimation	1998	SIGMOD	0.00032828302
1,615	The Performance of MapReduce: An In-depth Study	2010	VLDB	0.00011132319
344	Surfing Wavelets on Streams: One-Pass Summaries for Approximate Aggregate Queries	2001	VLDB	0.00026702512
5,783	Extended Wavelets for Multiple Measures	2003	SIGMOD	5.3289633e-05
4,659	One-Pass Wavelet Synopses for Maximum-Error Metrics	2005	VLDB	6.0160083e-05
1,127	Dynamic Maintenance of Wavelet-Based Histograms	2000	VLDB	0.00013819179
273	Approximate Computation of Multidimensional Aggregates of Sparse Data Using Wavelets	1999	SIGMOD	0.00029390945
9,950	Distributed Wavelet Thresholding for Maximum Error Metrics	2016	SIGMOD	4.2421586e-05