Most differentially private mechanisms are designed for the use of a single analyst. In reality, however, there are often multiple stakeholders with different and possibly conflicting priorities that must share the same privacy loss budget. This motivates the problem of equitable budget-sharing for multi-analyst differential privacy. Our previous work defined desiderata that any mechanism in this space should satisfy and introduced methods for budget-sharing in the offline case where queries are known in advance. We extend our previous work on multi-analyst differentially private query answering to the case of online query answering, where queries come in one at a time and must be answered without knowledge of the following queries. We demonstrate that the unknown ordering of queries in the online case results in a fundamental limit in the number of queries that can be answered while satisfying the desiderata. In response, we develop two mechanisms, one which satisfies the desiderata in all cases but is subject to the fundamental limitations, and another that randomizes the input order ensuring that existing online query answering mechanisms can satisfy the desiderata.
翻译:然而,实际上,往往有许多利益攸关方,其优先事项不同,而且可能相互冲突,必须分摊同样的隐私损失预算。这促使出现了为多种分析的隐私而公平分担预算的问题。我们以前的工作定义了这一空间中的任何机制应满足并采用在离线情况下共享预算的方法,因为事先知道询问;我们将我们以前关于多分析的私人查询的工作扩大到在线查询回答中,询问是一次性的,必须不经了解以下查询就予以回答。我们证明,在网上查询中,未知的查询顺序导致在满足倾斜的同时可以回答的查询数量存在基本限制。我们为此,我们开发了两个机制,一个机制满足了所有查询的倾斜,但受基本限制的限制,另一个机制是随机安排输入,确保现有的在线查询回答机制能够满足脱斜。