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Functional Mechanism: Regression Analysis under Differential Privacy

Summary: Introduces the Functional Mechanism, enforcing ε-differential privacy by perturbing an optimization objective rather than regression outputs. Supports linear and logistic regression, with theory and experiments showing improved accuracy and efficiency over prior methods. (summarized by gpt-5.6-luna on Jul 24 2026)

Paper ID
10561
Venue
VLDB
Year
2012
Pagerank
6.3003629e-05
Overall Rank
5,248 | 64.00%
DOI
10.14778/2350229.2350253

Incoming Non-self Citations Over Time

Authors

BibTeX Citation

@article{zhang_vldb12,
        title = {{Functional Mechanism: Regression Analysis under Differential Privacy}},
        author = {Zhang, Jun and Zhang, Zhenjie and Xiao, Xiaokui and Yang, Yin and Winslett, Marianne},
        journal = {PVLDB},
        series = {{VLDB} '12},
        volume = {5},
        number = {11},
        pages = {1361--1372},
        doi = {10.14778/2350229.2350253},
        url = {https://doi.org/10.14778/2350229.2350253},
        year = {2012}
}

Incoming Citations (Sorted by Pagerank)

Showing 4 of 4 citing papers.

Rank Citing Paper Year Venue Pagerank
4,185 Bolt-on Differential Privacy for Scalable Stochastic Gradient Descent-based Analytics 2017 SIGMOD 6.8462927e-05
6,772 PrivGene: Differentially Private Model Fitting Using Genetic Algorithms 2013 SIGMOD 5.7782652e-05
9,786 TransNet: Training Privacy-Preserving Neural Network over Transformed Layer 2020 VLDB 5.2209769e-05
10,914 Calibrating Noise for Group Privacy in Subsampled Mechanisms 2025 VLDB 5.093636e-05
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Outgoing Citations (Sorted by Pagerank)

Showing 5 of 5 cited papers.

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

Rank Cited Paper Year Venue Pagerank
121 Boosting the Accuracy of Differentially Private Histograms Through Consistency 2010 VLDB 0.00031639377
130 Privacy, Accuracy, and Consistency Too: A Holistic Solution to Contingency Table Release 2007 PODS 0.00030604781
611 Optimizing Linear Counting Queries Under Differential Privacy 2010 PODS 0.00015747402
757 Differentially Private Aggregation of Distributed Time-Series with Transformation and Encryption 2010 SIGMOD 0.00014306168
775 Differentially Private Data Cubes: Optimizing Noise Sources and Consistency 2011 SIGMOD 0.00014110531
Previous Page 1 / 1 Next

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6 10,335 A General Framework for Per-record Differential Privacy 2026 SIGMOD
7 1,837 Marginal Release Under Local Differential Privacy 2018 SIGMOD
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10 6,772 PrivGene: Differentially Private Model Fitting Using Genetic Algorithms 2013 SIGMOD