Optimality and Scalability in Lattice Histogram Construction

Summary: Dynamic-programming to construct an optimal lattice histogram (LH) under a max-error bound. A scalable greedy method delivers near-optimal accuracy with far lower time/space, applicable to space-bounded problems; experiments on real data show strong performance. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID: 9853
Venue: VLDB
Year: 2009
Pagerank: 4.3997447e-05
Overall Rank: 9,059 | 37.04%
DOI: -

Incoming Non-self Citations Over Time

Authors

1. Panagiotis Karras

Incoming Citations (Sorted by Pagerank)

Showing 1 of 1 citing papers.

Rank	Citing Paper	Year	Venue	Pagerank
11,759	Efficient Haar+ Synopsis Construction for the Maximum Absolute Error Measure	2018	VLDB	4.1905499e-05

Outgoing Citations (Sorted by Pagerank)

Showing 19 of 19 cited papers.

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

Rank	Cited Paper	Year	Venue	Pagerank
63	Improved Histograms for Selectivity Estimation of Range Predicates	1996	SIGMOD	0.00063595699
114	Equi-Depth Histograms For Estimating Selectivity Factors For Multi-Dimensional Queries	1988	SIGMOD	0.00046317654
141	Selectivity Estimation Without the Attribute Value Independence Assumption	1997	VLDB	0.00041819767
212	Join Synopses for Approximate Query Answering	1999	SIGMOD	0.00033997204
223	Wavelet-Based Histograms for Selectivity Estimation	1998	SIGMOD	0.00032829841
243	Locally Adaptive Dimensionality Reduction for Indexing Large Time Series Databases	2001	SIGMOD	0.00031052437
275	Approximate Computation of Multidimensional Aggregates of Sparse Data Using Wavelets	1999	SIGMOD	0.00029381206
325	The History of Histograms (abridged)	2003	VLDB	0.00027398081
326	Optimal Histograms with Quality Guarantees	1998	VLDB	0.0002737538
328	Balancing Histogram Optimality and Practicality for Query Result Size Estimation	1995	SIGMOD	0.00027301497
360	Histogram-Based Approximation of Set-Valued Query Answers	1999	VLDB	0.00025768448
416	Approximate Query Processing Using Wavelets	2000	VLDB	0.00023773968
512	STHoles: A Multidimensional Workload-Aware Histogram	2001	SIGMOD	0.00021385343
527	Self-tuning Histograms: Building Histograms Without Looking at Data	1999	SIGMOD	0.00020862475
801	Universality of Serial Histograms	1993	VLDB	0.00016440976
1,691	Combining Histograms and Parametric Curve Fitting for Feedback-Driven Query Result-Size Estimation	1999	VLDB	0.00010890775
2,752	REHIST: Relative Error Histogram Construction Algorithms	2004	VLDB	8.1723418e-05
4,656	One-Pass Wavelet Synopses for Maximum-Error Metrics	2005	VLDB	6.0101164e-05
7,460	Compact Histograms for Hierarchical Identifiers	2006	VLDB	4.7198214e-05

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4,815	DigitHist: a Histogram-Based Data Summary with Tight Error Bounds	2017	VLDB	5.8978716e-05
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849	Dynamic Multidimensional Histograms	2002	SIGMOD	0.00015919478
9,663	Multiscale Histograms: Summarizing Topological Relations in Large Spatial Datasets	2003	VLDB	4.3050178e-05
326	Optimal Histograms with Quality Guarantees	1998	VLDB	0.0002737538
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5,832	Fast and Near–Optimal Algorithms for Approximating Distributions by Histograms	2015	PODS	5.3085972e-05
3,621	Fast Algorithms For Hierarchical Range Histogram Construction	2002	PODS	6.9022467e-05