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arXiv 1902.03468cs.LGstat.ML

Synthetic Data Generators: Sequential and Private

Google Brain(谷歌大脑);Tel Aviv University(特拉维夫大学);Technion(以色列理工学院)

Olivier Bousquet, Roi Livni, Shay Moran

英文摘要:

We study the sample complexity of private synthetic data generation over an unbounded sized class of statistical queries, and show that any class that is privately proper PAC learnable admits a private synthetic data generator (perhaps non-efficient). Previous work on synthetic data generators focused on the case that the query class $\mathcal{D}$ is finite and obtained sample complexity bounds that scale logarithmically with the size $|\mathcal{D}|$. Here we construct a private synthetic data generator whose sample complexity is independent of the domain size, and we replace finiteness with the assumption that $\mathcal{D}$ is privately PAC learnable (a formally weaker task, hence we obtain equivalence between the two tasks).

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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