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SPPM: Sparse Privacy Preserving Mappings
Proceedings of the 30th Conference on Uncertainty in Artificial Intelligence, PMLR R12:618-627, 2014.
Abstract
We study the problem of a user who has both public and private data, and wants to re- lease the public data, e.g. to a recommenda- tion service, yet simultaneously wants to pro- tect his private data from being inferred via big data analytics. This problem has previ- ously been formulated as a convex optimiza- tion problem with linear constraints where the objective is to minimize the mutual in- formation between the private and released data. This attractive formulation faces a challenge in practice because when the un- derlying alphabet of the user profile is large, there are too many potential ways to distort the original profile. We address this funda- mental scalability challenge. We propose to generate sparse privacy-preserving mappings by recasting the problem as a sequence of lin- ear programs and solving each of these in- crementally using an adaptation of Dantzig- Wolfe decomposition. We evaluate our ap- proach on several datasets and demonstrate that nearly optimal privacy-preserving map- pings can be learned quickly even at scale.