Sum query is an important and fundamental operator for online analytical processing. In this paper, we focus on the process of answering sum queries over data cube, each of which consists of a collection of cuboids, while satisfying differential privacy (DP). Existing works fail to process the sum queries in online analytical processing with high utility due to sum queries' high sensitivity and the noise aggregation: constructing a base cuboid requires the data curator to answer a workload of linear sum queries under DP in advance, whose sensitivity will result in a large amount of DP noise, and the noise will finally be aggregated when constructing the remaining cuboids. To this end, we present a Differentially PRIvate Multi-dimensional Analytic Approach (PRIMA). In PRIMA, we propose a Symmetric Bounded Sum Query Processing Method (SBS) which reduces the sensitivity of sum queries by bounding both the maximum and minimum contribution of each record in the data table in a symmetricaly manner. Moreover, we propose a Hypothesis Testing based Prefix Sum Computing Method (SCOPE) to compute a base prefix-sum cuboid based on hypothesis testing. By employing the base prefix-sum cuboid, any remaining cuboid can be constructed with constant pieces of DP noise aggregated. We conduct experiments on both real-world and synthetic datasets. Experimental results confirm the effectiveness of PRIMA over existing works.
PRIMA: Privacy preserving Multi-dimensional Analytic Approach
Yufei Wang,Xiang Cheng,Pengfei Zhang,Anxing Wei
Published 2025 in International Conference on Information and Knowledge Management
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- Publication year
2025
- Venue
International Conference on Information and Knowledge Management
- Publication date
2025-11-10
- Fields of study
Mathematics, Computer Science
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