Weighted Fourier Factorizations: Optimal Gaussian Noise for Differentially Private Marginal and Product Queries
Summary: Fourier-basis factorization yields polynomial-time Gaussian mechanisms for weighted marginal queries, exactly optimal among factorization mechanisms for weighted-sum and worst-case variance. Extends optimally to product queries and near-optimally to thresholded numerical marginals. (summarized by gpt-5.6-luna on Jul 26 2026)
Incoming Non-self Citations Over Time
No non-self incoming citations found for this paper in this database.
Authors
- 1. Christian Janos Lebeda (Desbrest Institute of Epidemiology and Public Health; INRIA; National Institute of Health and Medical Research; University of Montpellier)
- 2. Aleksandar Nikolov (University of Toronto)
- 3. Haohua Tang (University of Toronto)
BibTeX Citation
@inproceedings{lebeda_pods26,
address = {New York, NY, USA},
series = {{PODS} '26},
title = {{Weighted Fourier Factorizations: Optimal Gaussian Noise for Differentially Private Marginal and Product Queries}},
url = {https://dl.acm.org/doi/10.1145/3801919},
doi = {10.1145/3801919},
booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
publisher = {Association for Computing Machinery},
author = {Lebeda, Christian Janos and Nikolov, Aleksandar and Tang, Haohua},
year = {2026}
}
Incoming Citations (Sorted by Pagerank)
Showing 0 of 0 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|
Previous
Page 1 / 1
Next
Outgoing Citations (Sorted by Pagerank)
Showing 3 of 3 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 |
| 123 | Revealing Information while Preserving Privacy | 2003 | PODS | 0.00031082693 |
| 130 | Privacy, Accuracy, and Consistency Too: A Holistic Solution to Contingency Table Release | 2007 | PODS | 0.00030604781 |
Previous
Page 1 / 1
Next
Semantically Similar Papers
| # | Overall Rank | Paper | Year | Venue |
|---|---|---|---|---|
| 1 | 3,121 | Answering Range Queries Under Local Differential Privacy | 2019 | VLDB |
| 2 | 7,292 | A Nearly Instance-optimal Differentially Private Mechanism for Conjunctive Queries | 2022 | PODS |
| 3 | 3,935 | Output Perturbation with Query Relaxation | 2008 | VLDB |
| 4 | 10,484 | Privacy Loss of Noise Perturbation via Concentration Analysis of A Product Measure | 2026 | SIGMOD |
| 5 | 9,602 | Answering Private Linear Queries Adaptively using the Common Mechanism | 2023 | VLDB |
| 6 | 775 | Differentially Private Data Cubes: Optimizing Noise Sources and Consistency | 2011 | SIGMOD |
| 7 | 611 | Optimizing Linear Counting Queries Under Differential Privacy | 2010 | PODS |
| 8 | 1,837 | Marginal Release Under Local Differential Privacy | 2018 | SIGMOD |
| 9 | 1,504 | A Data- and Workload-Aware Algorithm for Range Queries Under Differential Privacy | 2014 | VLDB |
| 10 | 7,968 | Optimizing Fitness-For-Use of Differentially Private Linear Queries | 2021 | VLDB |