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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
8496
Venue
VLDB
Year
1998
Pagerank
0.0002737538
Overall Rank
326 | 97.74%
DOI
-

Incoming Non-self Citations Over Time

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Incoming Citations (Sorted by Pagerank)

Showing 50 of 66 citing papers.

Rank Citing Paper Year Venue Pagerank
43 Models and Issues in Data Stream Systems 2002 PODS 0.00072660894
325 The History of Histograms (abridged) 2003 VLDB 0.00027398081
430 Approximate Query Processing: Taming the TeraBytes! A Tutorial 2001 VLDB 0.00023406426
503 Worst-case Optimal Join Algorithms 2012 PODS 0.00021517145
512 STHoles: A Multidimensional Workload-Aware Histogram 2001 SIGMOD 0.00021385343
627 Preventing Bad Plans by Bounding the Impact of Cardinality Estimation Errors 2009 VLDB 0.00018959896
680 Towards a Robust Query Optimizer: A Principled and Practical Approach 2005 SIGMOD 0.00018193263
849 Dynamic Multidimensional Histograms 2002 SIGMOD 0.00015919478
1,116 Global Optimization of Histograms 2001 SIGMOD 0.00013863484
1,240 Multi-dimensional Selectivity Estimation Using Compressed Histogram Information 1999 SIGMOD 0.00013090678
1,379 Substring Selectivity Estimation 1999 PODS 0.00012280308
1,691 Combining Histograms and Parametric Curve Fitting for Feedback-Driven Query Result-Size Estimation 1999 VLDB 0.00010890775
1,727 QuickSel: Quick Selectivity Learning with Mixture Models 2020 SIGMOD 0.00010731889
1,928 A Data- and Workload-Aware Algorithm for Range Queries Under Differential Privacy 2014 VLDB 0.00010062105
2,168 Selectivity Estimation For Boolean Queries 2000 PODS 9.3877451e-05
2,364 Deep Learning Models for Selectivity Estimation of Multi-Attribute Queries 2020 SIGMOD 8.955077e-05
2,450 Efficient Computation of Reverse Skyline Queries 2007 VLDB 8.7855268e-05
2,461 Principled Evaluation of Differentially Private Algorithms using DPBench 2016 SIGMOD 8.7486072e-05
2,635 Online Outlier Detection in Sensor Data Using Non-Parametric Models 2006 VLDB 8.4081184e-05
2,752 REHIST: Relative Error Histogram Construction Algorithms 2004 VLDB 8.1723418e-05
2,881 Sampling Time-Based Sliding Windows in Bounded Space 2008 SIGMOD 7.9671512e-05
2,918 DDSketch: A Fast and Fully-Mergeable Quantile Sketch with Relative-Error Guarantees 2019 VLDB 7.9043213e-05
3,220 Quality and Efficiency in Kernel Density Estimates for Large Data 2013 SIGMOD 7.3590708e-05
3,292 Optimal and Approximate Computation of Summary Statistics for Range Aggregates 2001 PODS 7.2598265e-05
3,621 Fast Algorithms For Hierarchical Range Histogram Construction 2002 PODS 6.9022467e-05
3,656 Conditional Selectivity for Statistics on Query Expressions 2004 SIGMOD 6.8712579e-05
3,657 Kernel-Based Skyline Cardinality Estimation 2009 SIGMOD 6.8700972e-05
3,665 Ad-hoc Top-k Query Answering for Data Streams 2007 VLDB 6.8631567e-05
3,720 Space efficiency in Synopsis construction algorithms 2005 VLDB 6.8139746e-05
4,018 Optimal Histograms for Hierarchical Range Queries (Extended Abstract) 2000 PODS 6.5250686e-05
4,352 Astrid: Accurate Selectivity Estimation for String Predicates using Deep Learning 2021 VLDB 6.2542257e-05
4,433 Selectivity Estimation for Fuzzy String Predicates in Large Data Sets 2005 VLDB 6.1852739e-05
4,679 Adaptive Sampling for Rapidly Matching Histograms 2018 VLDB 5.9978792e-05
4,815 DigitHist: a Histogram-Based Data Summary with Tight Error Bounds 2017 VLDB 5.8978716e-05
5,061 Hierarchical Subspace Sampling: A Unified Framework for High Dimensional Data Reduction, Selectivity Estimation and Nearest Neighbor Search 2002 SIGMOD 5.717245e-05
5,066 A Comparison of Selectivity Estimators for Range Queries on Metric Attributes 1999 SIGMOD 5.7157182e-05
5,443 NashDB: An End-to-End Economic Method for Elastic Database Fragmentation, Replication, and Provisioning 2018 SIGMOD 5.5020716e-05
5,642 Bloom Histogram: Path Selectivity Estimation for XML Data with Updates 2004 VLDB 5.3964761e-05
5,832 Fast and Near–Optimal Algorithms for Approximating Distributions by Histograms 2015 PODS 5.3085972e-05
5,908 Building Wavelet Histograms on Large Data in MapReduce 2012 VLDB 5.2731311e-05
6,232 A Forward Scan based Plane Sweep Algorithm for Parallel Interval Joins 2017 VLDB 5.1391814e-05
6,485 Robust Estimation With Sampling and Approximate Pre-Aggregation 2003 VLDB 5.0386161e-05
6,634 Approximating and Testing k-Histogram Distributions in Sub-linear Time 2012 PODS 4.9784928e-05
6,680 Categorical Skylines for Streaming Data 2008 SIGMOD 4.960978e-05
6,697 Optimal Splitters for Temporal and Multi-version Databases 2013 SIGMOD 4.9538866e-05
6,724 Combining Aggregation and Sampling (Nearly) Optimally for Approximate Query Processing 2021 SIGMOD 4.9449472e-05
7,311 Pythia: Data Dependent Differentially Private Algorithm Selection 2017 SIGMOD 4.7605916e-05
7,340 Weighted Distinct Sampling: Cardinality Estimation for SPJ Queries 2021 SIGMOD 4.7526052e-05
7,460 Compact Histograms for Hierarchical Identifiers 2006 VLDB 4.7198214e-05
7,573 Synopses for Query Optimization: A Space-Complexity Perspective 2004 PODS 4.7034681e-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
28 Accurate Estimation Of The Number Of Tuples Satisfying A Condition 1984 SIGMOD 0.00080571183
46 Simple Random Sampling from Relational Databases 1986 VLDB 0.00071588702
63 Improved Histograms for Selectivity Estimation of Range Predicates 1996 SIGMOD 0.00063595699
92 Practical Selectivity Estimation through Adaptive Sampling 1990 SIGMOD 0.00051431888
141 Selectivity Estimation Without the Attribute Value Independence Assumption 1997 VLDB 0.00041819767
328 Balancing Histogram Optimality and Practicality for Query Result Size Estimation 1995 SIGMOD 0.00027301497
369 Sequential Sampling Procedures For Query Size Estimation 1992 SIGMOD 0.00025502381
801 Universality of Serial Histograms 1993 VLDB 0.00016440976
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Semantically Similar Papers

Overall Rank Paper Year Venue Pagerank
5,832 Fast and Near–Optimal Algorithms for Approximating Distributions by Histograms 2015 PODS 5.3085972e-05
801 Universality of Serial Histograms 1993 VLDB 0.00016440976
223 Wavelet-Based Histograms for Selectivity Estimation 1998 SIGMOD 0.00032829841
114 Equi-Depth Histograms For Estimating Selectivity Factors For Multi-Dimensional Queries 1988 SIGMOD 0.00046317654
63 Improved Histograms for Selectivity Estimation of Range Predicates 1996 SIGMOD 0.00063595699
8,893 Histograms Reloaded: The Merits of Bucket Diversity 2010 SIGMOD 4.4232868e-05
4,018 Optimal Histograms for Hierarchical Range Queries (Extended Abstract) 2000 PODS 6.5250686e-05
360 Histogram-Based Approximation of Set-Valued Query Answers 1999 VLDB 0.00025768448
328 Balancing Histogram Optimality and Practicality for Query Result Size Estimation 1995 SIGMOD 0.00027301497
1,116 Global Optimization of Histograms 2001 SIGMOD 0.00013863484