Symbol D
D is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
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Why this formula appears here
where is the training mechanism, D and D' are two datasets differing by exactly one record, and S is any set of possible outcomes. In plain terms: the probability of any particular trained model (or any synthetic dataset it produces) coming out of the process is bounded so that it cannot depend too strongly, by a factor set by , on whether any one individual’s record was included or excluded. This is the load-bearing distinction between “privacy-preserving” as a marketing description and as an engineering guarantee: is a number a data controller chooses and can disclose, and a smaller buys a stronger guarantee at the cost of more injected noise…
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Equation 12 · AI Research
How Training Data and Synthetic Data Actually Work
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
where is the training mechanism, D and D' are two datasets differing by exactly one record, and S is any set of possible outcomes. In plain terms: the probability of any particular trained model (or any synthetic dataset it produces) coming out of the process is bounded so that it cannot depend too strongly, by a factor set by , on whether any one individual’s record was included or excluded. This is the load-bearing distinction between “privacy-preserving” as a marketing description and as an engineering guarantee: is a number a data controller chooses and can disclose, and a smaller buys a stronger guarantee at the cost of more injected noise…
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