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Optimal Histograms with Quality Guarantees

Summary: Optimal histograms with quality guarantees: compute bucket boundaries to minimize error for a fixed bucket count under broad metrics (incl. V-Optimality); time O(d^2) in distinct values. Also offers fast heuristics with provable space–accuracy tradeoffs and per-selectivity guarantees to isolate outliers. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID
8686
Venue
VLDB
Year
1998
Pagerank
0.00022798161
Overall Rank
267 | 98.17%
DOI
-

Incoming Non-self Citations Over Time

Authors

BibTeX Citation

@article{jagadish_vldb98,
        title = {{Optimal Histograms with Quality Guarantees}},
        author = {Jagadish, H. V. and Koudas, Nick and Muthukrishnan, S. and Poosala, Viswanath and Sevcik, Ken and Suel, Torsten},
        journal = {PVLDB},
        series = {{VLDB} '98},
        pages = {275--286},
        year = {1998}
}

Incoming Citations (Sorted by Pagerank)

Showing 50 of 66 citing papers.

Rank Citing Paper Year Venue Pagerank
26 Models and Issues in Data Stream Systems 2002 PODS 0.00052982574
257 The History of Histograms (abridged) 2003 VLDB 0.00023154793
363 Approximate Query Processing: Taming the TeraBytes! A Tutorial 2001 VLDB 0.0002005475
365 STHoles: A Multidimensional Workload-Aware Histogram 2001 SIGMOD 0.00020041735
388 Preventing Bad Plans by Bounding the Impact of Cardinality Estimation Errors 2009 VLDB 0.00019410042
411 Worst-case Optimal Join Algorithms 2012 PODS 0.00018902089
566 Towards a Robust Query Optimizer: A Principled and Practical Approach 2005 SIGMOD 0.00016436005
723 Dynamic Multidimensional Histograms 2002 SIGMOD 0.00014620977
1,053 Multi-dimensional Selectivity Estimation Using Compressed Histogram Information 1999 SIGMOD 0.00012401532
1,170 QuickSel: Quick Selectivity Learning with Mixture Models 2020 SIGMOD 0.00011827259
1,427 Substring Selectivity Estimation 1999 PODS 0.00010812749
1,504 A Data- and Workload-Aware Algorithm for Range Queries Under Differential Privacy 2014 VLDB 0.00010548904
1,573 Deep Learning Models for Selectivity Estimation of Multi-Attribute Queries 2020 SIGMOD 0.00010328171
1,668 Global Optimization of Histograms 2001 SIGMOD 0.00010057026
1,729 Combining Histograms and Parametric Curve Fitting for Feedback-Driven Query Result-Size Estimation 1999 VLDB 9.908788e-05
1,847 Efficient Computation of Reverse Skyline Queries 2007 VLDB 9.6252055e-05
2,061 Selectivity Estimation For Boolean Queries 2000 PODS 9.2445049e-05
2,300 Principled Evaluation of Differentially Private Algorithms using DPBench 2016 SIGMOD 8.7833594e-05
2,340 Online Outlier Detection in Sensor Data Using Non-Parametric Models 2006 VLDB 8.7246796e-05
2,455 DDSketch: A Fast and Fully-Mergeable Quantile Sketch with Relative-Error Guarantees 2019 VLDB 8.5552968e-05
2,638 Quality and Efficiency in Kernel Density Estimates for Large Data 2013 SIGMOD 8.3130624e-05
2,753 Sampling Time-Based Sliding Windows in Bounded Space 2008 SIGMOD 8.1647557e-05
3,111 REHIST: Relative Error Histogram Construction Algorithms 2004 VLDB 7.7470414e-05
3,224 Kernel-Based Skyline Cardinality Estimation 2009 SIGMOD 7.6249441e-05
3,241 Optimal and Approximate Computation of Summary Statistics for Range Aggregates 2001 PODS 7.6057671e-05
3,309 Conditional Selectivity for Statistics on Query Expressions 2004 SIGMOD 7.5368417e-05
3,317 Ad-hoc Top-k Query Answering for Data Streams 2007 VLDB 7.5251856e-05
3,545 Astrid: Accurate Selectivity Estimation for String Predicates using Deep Learning 2021 VLDB 7.3249967e-05
3,575 Optimal Histograms for Hierarchical Range Queries (Extended Abstract) 2000 PODS 7.2946291e-05
4,035 Selectivity Estimation for Fuzzy String Predicates in Large Data Sets 2005 VLDB 6.9439151e-05
4,405 DigitHist: a Histogram-Based Data Summary with Tight Error Bounds 2017 VLDB 6.7218674e-05
4,819 Space efficiency in Synopsis construction algorithms 2005 VLDB 6.4940349e-05
4,846 A Comparison of Selectivity Estimators for Range Queries on Metric Attributes 1999 SIGMOD 6.4807645e-05
4,889 Fast Algorithms For Hierarchical Range Histogram Construction 2002 PODS 6.4600939e-05
4,926 Adaptive Sampling for Rapidly Matching Histograms 2018 VLDB 6.4428362e-05
5,072 NashDB: An End-to-End Economic Method for Elastic Database Fragmentation, Replication, and Provisioning 2018 SIGMOD 6.3753956e-05
5,421 Fast and Near–Optimal Algorithms for Approximating Distributions by Histograms 2015 PODS 6.2245831e-05
5,459 Bloom Histogram: Path Selectivity Estimation for XML Data with Updates 2004 VLDB 6.2108888e-05
5,522 Building Wavelet Histograms on Large Data in MapReduce 2012 VLDB 6.1871697e-05
5,963 Hierarchical Subspace Sampling: A Unified Framework for High Dimensional Data Reduction, Selectivity Estimation and Nearest Neighbor Search 2002 SIGMOD 6.0267197e-05
6,106 A Forward Scan based Plane Sweep Algorithm for Parallel Interval Joins 2017 VLDB 5.973703e-05
6,206 Combining Aggregation and Sampling (Nearly) Optimally for Approximate Query Processing 2021 SIGMOD 5.9443409e-05
6,510 Approximating and Testing k-Histogram Distributions in Sub-linear Time 2012 PODS 5.8569033e-05
6,547 Optimal Splitters for Temporal and Multi-version Databases 2013 SIGMOD 5.8444303e-05
6,616 Categorical Skylines for Streaming Data 2008 SIGMOD 5.8214223e-05
6,654 Robust Estimation With Sampling and Approximate Pre-Aggregation 2003 VLDB 5.8131331e-05
7,256 Weighted Distinct Sampling: Cardinality Estimation for SPJ Queries 2021 SIGMOD 5.6625146e-05
7,359 Pythia: Data Dependent Differentially Private Algorithm Selection 2017 SIGMOD 5.6341162e-05
7,375 Compact Histograms for Hierarchical Identifiers 2006 VLDB 5.6299286e-05
7,388 Synopses for Query Optimization: A Space-Complexity Perspective 2004 PODS 5.6268292e-05
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Outgoing Citations (Sorted by Pagerank)

Showing 8 of 8 cited papers.

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

Rank Cited Paper Year Venue Pagerank
35 Improved Histograms for Selectivity Estimation of Range Predicates 1996 SIGMOD 0.00048481081
36 Accurate Estimation Of The Number Of Tuples Satisfying A Condition 1984 SIGMOD 0.00048351457
76 Practical Selectivity Estimation through Adaptive Sampling 1990 SIGMOD 0.00037054261
101 Selectivity Estimation Without the Attribute Value Independence Assumption 1997 VLDB 0.00034376651
173 Simple Random Sampling from Relational Databases 1986 VLDB 0.00027273858
274 Balancing Histogram Optimality and Practicality for Query Result Size Estimation 1995 SIGMOD 0.00022645621
339 Sequential Sampling Procedures For Query Size Estimation 1992 SIGMOD 0.00020723773
786 Universality of Serial Histograms 1993 VLDB 0.00014053885
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