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Shortly after it was first introduced in 2006, differential privacy
became the flagship data privacy definition. Since then, numerous
variants and extensions were proposed to adapt it to different
scenarios and attacker models. In this work, we propose a
systematic taxonomy of these variants and extensions. We list all
data privacy definitions based on differential privacy, and
partition them into seven categories, depending on which aspect of
the original definition is modified. These categories act like
dimensions: Variants from the same category cannot be combined, but
variants from different categories can be combined to form new
definitions. We also establish a partial ordering of relative
strength between these notions by summarizing existing results.
Furthermore, we list which of these definitions satisfy some
desirable properties, like composition, post-processing, and
convexity by either providing a novel proof or collecting existing
ones.
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