Probabilistic Histograms for Probabilistic Data

Summary: Proposes probabilistic histograms for uncertain relations, preserving possible-worlds semantics for planning and AQP. Then a Dynamic Programming framework builds optimal buckets with per-bucket PDFs under metrics (variation distance, SSE, max error, EMD1)—polynomial-time, compact. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID: 10079
Venue: VLDB
Year: 2009
Pagerank: 5.4979799e-05
Overall Rank: 8,059 | 44.71%
DOI: 10.14778/1687627.1687687

Incoming Non-self Citations Over Time

Authors

1. Graham Cormode (AT&T)
2. Antonios Deligiannakis (Technical University of Crete)
3. Minos Garofalakis (Technical University of Crete)
4. Andrew McGregor (University of Massachusetts Amherst)

BibTeX Citation

@article{cormode_vldb09,
        title = {{Probabilistic Histograms for Probabilistic Data}},
        author = {Cormode, Graham and Deligiannakis, Antonios and Garofalakis, Minos and McGregor, Andrew},
        journal = {PVLDB},
        series = {{VLDB} '09},
        doi = {10.14778/1687627.1687687},
        url = {https://doi.org/10.14778/1687627.1687687},
        year = {2009}
}

Incoming Citations (Sorted by Pagerank)

Showing 2 of 2 citing papers.

Rank	Citing Paper	Year	Venue	Pagerank
3,907	Accelerating Approximate Aggregation Queries with Expensive Predicates	2021	VLDB	7.0278233e-05
11,700	In the Land of Data Streams where Synopses are Missing, One Framework to Bring Them All	2021	VLDB	5.093636e-05

Outgoing Citations (Sorted by Pagerank)

Showing 11 of 11 cited papers.

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

Rank	Cited Paper	Year	Venue	Pagerank
50	Efficient Query Evaluation on Probabilistic Databases	2004	VLDB	0.00043596705
101	Selectivity Estimation Without the Attribute Value Independence Assumption	1997	VLDB	0.00034376651
238	MCDB: A Monte Carlo Approach to Managing Uncertain Data	2008	SIGMOD	0.0002369322
257	The History of Histograms (abridged)	2003	VLDB	0.00023154793
267	Optimal Histograms with Quality Guarantees	1998	VLDB	0.00022798161
574	Management of Probabilistic Data: Foundations and Challenges	2007	PODS	0.00016278855
683	MYSTIQ: A system for finding more answers by using probabilities	2005	SIGMOD	0.00015005338
2,697	Sketching Probabilistic Data Streams	2007	SIGMOD	8.2451054e-05
2,988	Estimating Statistical Aggregates on Probabilistic Data Streams	2007	PODS	7.8907087e-05
3,111	REHIST: Relative Error Histogram Construction Algorithms	2004	VLDB	7.7470414e-05
8,216	Mining Deviants in a Time Series Database	1999	VLDB	5.4650371e-05

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#	Overall Rank	Paper	Year	Venue
1	4,136	Approximating Predicates and Expressive Queries on Probabilistic Databases	2008	PODS
2	12,467	Conditioning and Aggregating Uncertain Data Streams: Going Beyond Expectations	2010	VLDB
3	435	Histogram-Based Approximation of Set-Valued Query Answers	1999	VLDB
4	359	Evaluating Probabilistic Queries over Imprecise Data	2003	SIGMOD
5	7,711	Optimizing Probabilistic Query Processing on Continuous Uncertain Data	2011	VLDB
6	723	Dynamic Multidimensional Histograms	2002	SIGMOD
7	2,697	Sketching Probabilistic Data Streams	2007	SIGMOD
8	680	Creating Probabilistic Databases from Information Extraction Models	2006	VLDB
9	50	Efficient Query Evaluation on Probabilistic Databases	2004	VLDB
10	574	Management of Probabilistic Data: Foundations and Challenges	2007	PODS