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Equation 10 · Part 1 · How Training Data and Synthetic Data Actually Work

Symbol M

M\mathcal{M}
M\mathcal{M}

What this part means

the training mechanism, D and D' are two datasets differing by exactly one record.

Its job in the formula

M is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Where the article explains it

where M\mathcal{M} 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 M\mathcal{M} 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…

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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.