Symbol in context

$\mathcal{M}$

This entry links every published equation using this exact notation. Its meaning may change between equations.

Meanings in context

Article-grounded definition

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

\mathcal{M}=\{m_1,\dots,m_N\}

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

\Pr[\mathcal{M}(D) \in S] \le e^{\varepsilon} \cdot \Pr[\mathcal{M}(D') \in S] + \delta

This equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions.

\mathcal{M}

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