Practical Inference Control for Data Cubes

The fundamental problem for inference control in data cubes is how to efficiently calculate the lower and upper bounds for each cell value given the aggregations of cell values over multiple dimensions. In this paper, we provide the first practical solution for estimating exact bounds in two-dimensi...

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Bibliographic Details
Main Authors: LI, Yingjiu, LU, Haibing, DENG, Robert H.
Format: text
Language:English
Published: Institutional Knowledge at Singapore Management University 2006
Subjects:
Online Access:https://ink.library.smu.edu.sg/sis_research/597
http://dx.doi.org/10.1109/SP.2006.31
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Institution: Singapore Management University
Language: English
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Summary:The fundamental problem for inference control in data cubes is how to efficiently calculate the lower and upper bounds for each cell value given the aggregations of cell values over multiple dimensions. In this paper, we provide the first practical solution for estimating exact bounds in two-dimensional irregular data cubes (i.e., data cubes in which certain cell values are known to a snooper). Our results imply that the exact bounds cannot be obtained by a direct application of the Fréchet bounds in some cases. We then propose a new approach to improve the classic Fréchet bounds for any high-dimensional data cube in the most general case. The proposed approach improves upon the Fréchet bounds in the sense that it gives bounds that are at least as tight as those computed by Fréchet, yet is simpler in terms of time complexity. Based on our solutions to the fundamental problem, we discuss two security applications, privacy protection of released data and fine-grained access control and auditing.