Equation 13 · Part 1 · How Training Data and Synthetic Data Actually Work
Symbol S
What this part means
any set of possible outcomes.
Its job in the formula
S is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol S→Article meaning
Where the article explains it
where is the training mechanism, D and D' are two datasets differing by exactly one record, and S is any set of possible outcomes.
The passage around this formula
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…
Learn the underlying idea
A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.
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Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.