Symbol in context

$h_\ell$

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

Meanings in context

Article-grounded definition

the frozen activation the network produces at layer $\ell$ for input x , and w.

Article-grounded definition

the residual-stream activation at layer $\ell$ .

\hat y(x) = \sigma\big(w^\top h_\ell(x) + b\big),

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

h_\ell(x)

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

v_\ell = \frac{1}{|P|}\sum_{i \in P} h_\ell(x_i^{+}) \;-\; \frac{1}{|N|}\sum_{i \in N} h_\ell(x_i^{-}), \qquad h_\ell \leftarrow h_\ell + \alpha\, v_\ell,

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

h_\ell

the residual-stream activation at layer $\ell$ .