arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1805.02136cs.LGstat.ML
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私人顺序学习

Private Sequential Learning

Massachusetts Institute of Technology(麻省理工学院);Stanford University(斯坦福大学)

John N. Tsitsiklis, Kuang Xu, Zhi Xu

摘要:

我们制定了一个私人学习模型来研究顺序学习中隐私和查询复杂性之间的内在权衡。我们的模型涉及一个学习者,其目的是通过顺序查询外部数据库并接收二进制响应来确定标量值$v^*$。与此同时,对手观察学习者的查询,而不是响应,并试图从它们推断出$v^*$的值。学习器的目标是仅使用少量查询来获得对$v^*$的准确估计,同时通过使$v^*$可证明地难以被对手学习来保护她的隐私。我们的主要研究结果提供了严格的上限和下限的学习者的查询复杂度作为所需的隐私和估计精度的函数。我们还构造了显式的查询策略,其复杂性是最佳的加法常数。

英文摘要:

We formulate a private learning model to study an intrinsic tradeoff between privacy and query complexity in sequential learning. Our model involves a learner who aims to determine a scalar value, $v^*$, by sequentially querying an external database and receiving binary responses. In the meantime, an adversary observes the learner's queries, though not the responses, and tries to infer from them the value of $v^*$. The objective of the learner is to obtain an accurate estimate of $v^*$ using only a small number of queries, while simultaneously protecting her privacy by making $v^*$ provably difficult to learn for the adversary. Our main results provide tight upper and lower bounds on the learner's query complexity as a function of desired levels of privacy and estimation accuracy. We also construct explicit query strategies whose complexity is optimal up to an additive constant.

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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