Symbol in context

$\mathcal{A}$

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

Meanings in context

Article-grounded definition

a search space of candidate architectures designed in advance by the researchers, g(a) some measured deployment cost of architecture a.

\mathcal{A}

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

\Delta \ln \text{TFP} \approx \sum_{s \in \mathcal{A}} \alpha_s \cdot \pi_s,

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

a^* = \arg\min_{a \in \mathcal{A}} \ \mathcal{L}_{\text{val}}\big(w^*(a),\, a\big) \quad \text{subject to} \quad g(a) \le B, \qquad w^*(a) = \arg\min_{w} \ \mathcal{L}_{\text{train}}(w, a)

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

\mathcal{A}

a search space of candidate architectures designed in advance by the researchers, g(a) some measured deployment cost of architecture a.

\mathcal{A}

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

\hat{\sigma} \;=\; \frac{N_{\mathrm{obs}} - \hat{N}_{\mathrm{bkg}}}{\mathcal{A}\,\varepsilon\,\mathcal{L}} ,

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