Equi-depth multidimensional histograms
SIGMOD '88 Proceedings of the 1988 ACM SIGMOD international conference on Management of data
Practical selectivity estimation through adaptive sampling
SIGMOD '90 Proceedings of the 1990 ACM SIGMOD international conference on Management of data
Sequential sampling procedures for query size estimation
SIGMOD '92 Proceedings of the 1992 ACM SIGMOD international conference on Management of data
Query evaluation techniques for large databases
ACM Computing Surveys (CSUR)
An overview of query optimization in relational systems
PODS '98 Proceedings of the seventeenth ACM SIGACT-SIGMOD-SIGART symposium on Principles of database systems
Wavelet-based histograms for selectivity estimation
SIGMOD '98 Proceedings of the 1998 ACM SIGMOD international conference on Management of data
Data cube approximation and histograms via wavelets
Proceedings of the seventh international conference on Information and knowledge management
Selectivity estimation in spatial databases
SIGMOD '99 Proceedings of the 1999 ACM SIGMOD international conference on Management of data
Self-tuning histograms: building histograms without looking at data
SIGMOD '99 Proceedings of the 1999 ACM SIGMOD international conference on Management of data
Multi-dimensional selectivity estimation using compressed histogram information
SIGMOD '99 Proceedings of the 1999 ACM SIGMOD international conference on Management of data
A comparison of selectivity estimators for range queries on metric attributes
SIGMOD '99 Proceedings of the 1999 ACM SIGMOD international conference on Management of data
STHoles: a multidimensional workload-aware histogram
SIGMOD '01 Proceedings of the 2001 ACM SIGMOD international conference on Management of data
Dynamic multidimensional histograms
Proceedings of the 2002 ACM SIGMOD international conference on Management of data
Fast incremental maintenance of approximate histograms
ACM Transactions on Database Systems (TODS)
Accurate estimation of the number of tuples satisfying a condition
SIGMOD '84 Proceedings of the 1984 ACM SIGMOD international conference on Management of data
On Rectangular Partitionings in Two Dimensions: Algorithms, Complexity, and Applications
ICDT '99 Proceedings of the 7th International Conference on Database Theory
Optimal Histograms with Quality Guarantees
VLDB '98 Proceedings of the 24rd International Conference on Very Large Data Bases
Dynamic Maintenance of Wavelet-Based Histograms
VLDB '00 Proceedings of the 26th International Conference on Very Large Data Bases
Selectivity Estimation Without the Attribute Value Independence Assumption
VLDB '97 Proceedings of the 23rd International Conference on Very Large Data Bases
Selectivity Estimation of Complex Spatial Queries
SSTD '01 Proceedings of the 7th International Symposium on Advances in Spatial and Temporal Databases
Selectivity estimators for multidimensional range queries over real attributes
The VLDB Journal — The International Journal on Very Large Data Bases
ISOMER: Consistent Histogram Construction Using Query Feedback
ICDE '06 Proceedings of the 22nd International Conference on Data Engineering
The history of histograms (abridged)
VLDB '03 Proceedings of the 29th international conference on Very large data bases - Volume 29
REHIST: relative error histogram construction algorithms
VLDB '04 Proceedings of the Thirtieth international conference on Very large data bases - Volume 30
Rk-hist: an r-tree based histogram for multi-dimensional selectivity estimation
Proceedings of the sixteenth ACM conference on Conference on information and knowledge management
Compressed hierarchical binary histograms for summarizing multi-dimensional data
Knowledge and Information Systems
Histograms and Wavelets on Probabilistic Data
ICDE '09 Proceedings of the 2009 IEEE International Conference on Data Engineering
Probabilistic histograms for probabilistic data
Proceedings of the VLDB Endowment
Hierarchically organized skew-tolerant histograms for geographic data objects
Proceedings of the 2010 ACM SIGMOD International Conference on Management of data
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Histograms have been widely used for estimating selectivity in query optimization. In this paper, we propose a new technique to improve the accuracy of histograms for two-dimensional geographic data points that are used in many real-world Geographic Information Systems. Typically, a histogram consists of a collection of rectangular regions, called buckets. The main idea of our technique is to use a straight line to convert each rectangular bucket to a new one with two separating regions. The converted buckets, called bichromatic buckets, can approximate the distribution of data objects better while preserving the simplicity of originally rectangular ones. To construct bichromatic buckets, we propose an adaptive algorithm to find good separating lines. Two strategies to find the separating lines, one based on the potential skewness gains of the candidate lines and the other based on the difference of density levels of the data regions, are proposed and used flexibly within our algorithm. Then, we describe how to apply the proposed technique to existing histogram construction methods to improve the accuracy of the constructed histograms further. Results from extensive experiments using real-life data sets demonstrate that our technique improves the accuracy of the histograms by 2 times on average.