Optimizing Linear Counting Queries Under Differential Privacy

Summary: Introduce the matrix mechanism: answer workloads by privately answering a chosen strategy set with Laplace noise, then reconstructing workload answers to induce correlated noise and reduce error. Provide error analysis and show optimal strategy selection is a rank‑constrained semidefinite program, unifying prior methods. (summarized by gpt-5-mini on Feb 09 2026)

Paper ID: 1513
Venue: PODS
Year: 2010
Pagerank: 0.00017360873
Overall Rank: 742 | 94.84%
DOI: -

Incoming Non-self Citations Over Time

Authors

Incoming Citations (Sorted by Pagerank)

Showing 38 of 38 citing papers.

Rank	Citing Paper	Year	Venue	Pagerank
453	Towards Practical Differential Privacy for SQL Queries	2018	VLDB	0.00022741848
719	Understanding Hierarchical Methods for Differentially Private Histograms	2013	VLDB	0.00017626484
1,446	PrivBayes: Private Data Release via Bayesian Networks	2014	SIGMOD	0.0001194108
1,520	PrivTree: A Differentially Private Algorithm for Hierarchical Decompositions	2016	SIGMOD	0.00011535148
1,602	Calibrating Data to Sensitivity in Private Data Analysis: A Platform for Differentially-Private Analysis of Weighted Datasets	2014	VLDB	0.00011199166
1,681	GUPT: Privacy Preserving Data Analysis Made Easy	2012	SIGMOD	0.00010929746
1,737	QuickSel: Quick Selectivity Learning with Mixture Models	2020	SIGMOD	0.00010720294
1,764	PriView: Practical Differentially Private Release of Marginal Contingency Tables	2014	SIGMOD	0.00010636626
1,935	A Data- and Workload-Aware Algorithm for Range Queries Under Differential Privacy	2014	VLDB	0.00010032967
2,052	Low-Rank Mechanism: Optimizing Batch Queries under Differential Privacy	2012	VLDB	9.676612e-05
2,274	An Adaptive Mechanism for Accurate Query Answering under Differential Privacy	2012	VLDB	9.1297703e-05
2,434	Optimizing error of high-dimensional statistical queries under differential privacy	2018	VLDB	8.8278955e-05
2,465	Principled Evaluation of Differentially Private Algorithms using DPBench	2016	SIGMOD	8.7518123e-05
2,776	iReduct: Differential Privacy with Reduced Relative Errors	2011	SIGMOD	8.1326122e-05
2,806	CryptEpsilon: Crypto-Assisted Differential Privacy on Untrusted Servers	2020	SIGMOD	8.0911177e-05
3,368	Answering Multi-Dimensional Range Queries under Local Differential Privacy	2021	VLDB	7.1714763e-05
4,461	Pufferfish Privacy Mechanisms for Correlated Data	2017	SIGMOD	6.1616828e-05
4,502	ϵktelo: A Framework for Defining Differentially-Private Computations	2018	SIGMOD	6.1366984e-05
4,600	Functional Mechanism: Regression Analysis under Differential Privacy	2012	VLDB	6.0578625e-05
5,267	Practical Differential Privacy via Grouping and Smoothing	2013	VLDB	5.5972313e-05
5,485	Neighborhood-Privacy Protected Shortest Distance Computing in Cloud	2011	SIGMOD	5.4813218e-05
5,545	Differential Privacy in the Wild: A tutorial on current practices & open challenges	2016	VLDB	5.4462098e-05
5,687	Differential Privacy in the Wild: A Tutorial on Current Practices & Open Challenges	2017	SIGMOD	5.3706593e-05
5,752	PrivGene: Differentially Private Model Fitting Using Genetic Algorithms	2013	SIGMOD	5.340562e-05
6,065	APEx: Accuracy-Aware Differentially Private Data Exploration	2019	SIGMOD	5.2291685e-05
6,486	Differential Privacy in Data Publication and Analysis	2012	SIGMOD	5.0445043e-05
6,691	Information Preservation in Statistical Privacy and Bayesian Estimation of Unattributed Histograms	2013	SIGMOD	4.9613269e-05
6,898	Disclosure-Compliant Query Answering	2024	SIGMOD	4.8925595e-05
7,471	A workload-adaptive mechanism for linear queries under local differential privacy	2020	VLDB	4.7199888e-05
7,502	PSynDB: Accurate and Accessible Private Data Generation	2019	VLDB	4.7180617e-05
7,619	Budget Sharing for Multi-Analyst Differential Privacy	2021	VLDB	4.6941145e-05
7,864	Differentially Private Data Release over Multiple Tables	2023	PODS	4.6327272e-05
7,872	Probabilistic Database Summarization for Interactive Data Exploration	2017	VLDB	4.6307184e-05
8,418	Differentially Private Hierarchical Count-of-Counts Histograms	2018	VLDB	4.5183077e-05
9,513	Multi-Analyst Differential Privacy for Online Query Answering	2023	VLDB	4.3335882e-05
10,521	RM2: Answer Counting Queries Efficiently under Shuffle Differential Privacy	2025	SIGMOD	4.1945683e-05
11,143	DP-PQD: Privately Detecting Per-Query Gaps In Synthetic Data Generated By Black-Box Mechanisms	2024	VLDB	4.1945683e-05
12,195	HOMES: A Higher-Order Mapping Evaluation System	2011	VLDB	4.1945683e-05

Outgoing Citations (Sorted by Pagerank)

Showing 2 of 2 cited papers.

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

Rank	Cited Paper	Year	Venue	Pagerank
111	Privacy, Accuracy, and Consistency Too: A Holistic Solution to Contingency Table Release	2007	PODS	0.00047073785
178	Boosting the Accuracy of Differentially Private Histograms Through Consistency	2010	VLDB	0.00037697111

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Overall Rank	Paper	Year	Venue	Pagerank
7,439	Better than Composition: How to Answer Multiple Relational Queries under Differential Privacy	2023	SIGMOD	4.7304034e-05
3,068	Answering Range Queries Under Local Differential Privacy	2019	SIGMOD	7.6171639e-05
1,935	A Data- and Workload-Aware Algorithm for Range Queries Under Differential Privacy	2014	VLDB	0.00010032967
7,579	A Nearly Instance-optimal Differentially Private Mechanism for Conjunctive Queries	2022	PODS	4.706055e-05
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2,434	Optimizing error of high-dimensional statistical queries under differential privacy	2018	VLDB	8.8278955e-05
7,997	Optimizing Fitness-For-Use of Differentially Private Linear Queries	2021	VLDB	4.6105691e-05
7,471	A workload-adaptive mechanism for linear queries under local differential privacy	2020	VLDB	4.7199888e-05
2,052	Low-Rank Mechanism: Optimizing Batch Queries under Differential Privacy	2012	VLDB	9.676612e-05
2,274	An Adaptive Mechanism for Accurate Query Answering under Differential Privacy	2012	VLDB	9.1297703e-05