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High Dimensional Differentially Private Stochastic Optimization with Heavy-tailed Data

Summary: First study of high-dimensional DP-SCO under heavy-tailed data: derives high-probability excess-risk bounds for polytope constraints and an improved LASSO rate O~((log d)/(n ε)^2) under bounded fourth moments. Introduces truncated DP-HT for sparse learning achieving O~(s^2 log d/(n ε)) and an l0-constrained method with O~(s^{3/2} log d/(n ε)), nearly optimal up to √s. (summarized by gpt-5-mini on Feb 09 2026)

Paper ID
1870
Venue
PODS
Year
2022
Pagerank
-
Overall Rank
13,406 | 8.03%
DOI
10.1145/3517804.3524144

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BibTeX Citation

@inproceedings{hu_pods22,
        address = {New York, NY, USA},
        series = {{PODS} '22},
        title = {{High Dimensional Differentially Private Stochastic Optimization with Heavy-tailed Data}},
        url = {https://dl.acm.org/doi/10.1145/3517804.3524144},
        doi = {10.1145/3517804.3524144},
        booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
        publisher = {Association for Computing Machinery},
        author = {Hu, Lijie and Ni, Shuo and Xiao, Hanshen and Wang, Di},
        year = {2022}
}

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