Symbol in context

$\mathcal{Z}_k$

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

Used in 11 equations

\mathcal{Z}_k(x)

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

p(y \mid x) \approx \sum_{z \in \mathcal{Z}_k(x)} p_\eta(z \mid x)\, p_\theta(y \mid x, z),

This equation gives an approximation: it relates the quantities while allowing an approximation.

\mathcal{Z}_k(x)

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

\mathcal{Z}_k(x)

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

p(y \mid x) \approx \sum_{z \in \mathcal{Z}_k(x)} p_\eta(z \mid x) \prod_{i=1}^{|y|} p_\theta\left(y_i \mid x, z, y_{1:i-1}\right)

This equation gives an approximation: it relates the quantities while allowing an approximation.

\mathcal{Z}_k(x)

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

\mathcal{Z}_k(x)

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

\mathcal{Z}_k(x)

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

P(\text{correct}) = P\left(\mathcal{Z}_k(x) \cap S(x) \neq \emptyset\right) \cdot P\left(\text{grounded} \mid \mathcal{Z}_k(x) \cap S(x) \neq \emptyset\right)

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

p(y \mid x) = \sum_{z \in \mathcal{Z}_k(x)} p_\eta(z \mid x)\,p_\theta(y \mid x,z),

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

\mathcal{Z}_k(x)

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.