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: 9852
Venue: VLDB
Year: 2009
Pagerank: 4.4039656e-05
Overall Rank: 9,061 | 36.97%
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
11,751	Efficient Haar+ Synopsis Construction for the Maximum Absolute Error Measure	2018	VLDB	4.1945683e-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
64	Improved Histograms for Selectivity Estimation of Range Predicates	1996	SIGMOD	0.00063612837
116	Equi-Depth Histograms For Estimating Selectivity Factors For Multi-Dimensional Queries	1988	SIGMOD	0.00046148737
141	Selectivity Estimation Without the Attribute Value Independence Assumption	1997	VLDB	0.00041786333
211	Join Synopses for Approximate Query Answering	1999	SIGMOD	0.00033981214
222	Wavelet-Based Histograms for Selectivity Estimation	1998	SIGMOD	0.00032828302
243	Locally Adaptive Dimensionality Reduction for Indexing Large Time Series Databases	2001	SIGMOD	0.00031074984
273	Approximate Computation of Multidimensional Aggregates of Sparse Data Using Wavelets	1999	SIGMOD	0.00029390945
325	The History of Histograms (abridged)	2003	VLDB	0.00027378328
326	Optimal Histograms with Quality Guarantees	1998	VLDB	0.00027358981
327	Balancing Histogram Optimality and Practicality for Query Result Size Estimation	1995	SIGMOD	0.00027308479
361	Histogram-Based Approximation of Set-Valued Query Answers	1999	VLDB	0.00025775749
405	Approximate Query Processing Using Wavelets	2000	VLDB	0.00024057494
512	STHoles: A Multidimensional Workload-Aware Histogram	2001	SIGMOD	0.00021380733
529	Self-tuning Histograms: Building Histograms Without Looking at Data	1999	SIGMOD	0.00020828852
808	Universality of Serial Histograms	1993	VLDB	0.00016432772
1,695	Combining Histograms and Parametric Curve Fitting for Feedback-Driven Query Result-Size Estimation	1999	VLDB	0.00010882793
2,748	REHIST: Relative Error Histogram Construction Algorithms	2004	VLDB	8.1785955e-05
4,659	One-Pass Wavelet Synopses for Maximum-Error Metrics	2005	VLDB	6.0160083e-05
7,459	Compact Histograms for Hierarchical Identifiers	2006	VLDB	4.7243492e-05

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Overall Rank	Paper	Year	Venue	Pagerank
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852	Dynamic Multidimensional Histograms	2002	SIGMOD	0.00015941524
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326	Optimal Histograms with Quality Guarantees	1998	VLDB	0.00027358981
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5,879	Fast and Near–Optimal Algorithms for Approximating Distributions by Histograms	2015	PODS	5.2908101e-05
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