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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)

Paper ID
2049
Venue
PODS
Year
2026
Pagerank
5.093636e-05
Overall Rank
10,172 | 30.22%
DOI
10.1145/3801919

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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}
}

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