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Estimating the Selectivity of Spatial Queries Using the 'Correlation' Fractal Dimension

Summary: Estimates selectivity of range and spatial-join queries from real spatial data using the Correlation Dimension D2 to capture fractal structure. Neighbor counts follow a power law with exponent D2; provides biased-query formulas with a shape constant K_shape, achieving ~10% error vs 40–100% under uniformity. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID
8278
Venue
VLDB
Year
1995
Pagerank
7.7848117e-05
Overall Rank
2,978 | 79.31%
DOI
-

Incoming Non-self Citations Over Time

Authors

Incoming Citations (Sorted by Pagerank)

Showing 14 of 14 citing papers.

Rank Citing Paper Year Venue Pagerank
325 The History of Histograms (abridged) 2003 VLDB 0.00027398081
1,240 Multi-dimensional Selectivity Estimation Using Compressed Histogram Information 1999 SIGMOD 0.00013090678
1,485 On the Analysis of Indexing Schemes 1997 PODS 0.00011698762
1,808 A Cost Model for Similarity Queries in Metric Spaces 1998 PODS 0.00010476269
2,056 Selectivity Estimation in Spatial Databases 1999 SIGMOD 9.6692561e-05
3,528 Analysis of n-dimensional Quadtrees Using the Hausdorff Fractal Dimension 1996 VLDB 7.0033241e-05
3,902 Tight bounds for 2-dimensional indexing schemes 1998 PODS 6.6454492e-05
4,111 Searching Trajectories by Locations - An Efficiency Study 2010 SIGMOD 6.4354586e-05
5,967 Modeling skewed distributions using multifractals and the '80-20 law' 1996 VLDB 5.247088e-05
6,170 Spatial Join Selectivity Using Power Laws 2000 SIGMOD 5.1708554e-05
8,704 Incremental Partitioning for Efficient Spatial Data Analytics 2022 VLDB 4.4596039e-05
8,819 Modeling Skew in Data Streams 2006 SIGMOD 4.4378541e-05
8,894 Are Window Queries Representative For Arbitrary Range Queries? 1996 PODS 4.4232095e-05
9,173 Similarity Query Processing Using Disk Arrays 1998 SIGMOD 4.3807204e-05
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Outgoing Citations (Sorted by Pagerank)

Showing 15 of 15 cited papers.

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

Rank Cited Paper Year Venue Pagerank
2 R-Trees: A Dynamic Index Structure For Spatial Searching 1984 SIGMOD 0.0032118946
6 The R*-tree: An Efficient and Robust Access Method for Points and Rectangles 1990 SIGMOD 0.0016113151
13 Mining Association Rules between Sets of Items in Large Databases 1993 SIGMOD 0.0010863639
48 Nearest Neighbor Queries 1995 SIGMOD 0.0006954126
65 Fast Subsequence Matching in Time-Series Databases 1994 SIGMOD 0.00061977022
75 Spatial Query Processing in an Object-Oriented Database System 1986 SIGMOD 0.00057450043
100 On the Propagation of Errors in the Size of Join Results 1991 SIGMOD 0.00050033475
114 Equi-Depth Histograms For Estimating Selectivity Factors For Multi-Dimensional Queries 1988 SIGMOD 0.00046317654
356 Hilbert R-tree: An Improved R-tree Using Fractals 1994 VLDB 0.00026091196
667 The Sequoia 2000 Storage Benchmark 1993 SIGMOD 0.00018431008
721 Optimization Strategies for Spatial Query Processing 1991 VLDB 0.00017530857
766 Client-Server Paradise 1994 VLDB 0.0001690298
1,111 Beyond Uniformity and Independence : Analysis of R-trees Using the Concept of Fractal Dimension 1994 PODS 0.0001389881
2,033 Analysis Of Object Oriented Spatial Access Methods 1987 SIGMOD 9.7315522e-05
2,471 A Comparison of Spatial Query Processing Techniques for Native and Parameter Spaces 1990 SIGMOD 8.7158825e-05
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