For a given concept $c$, we collect its corresponding units indexed by $\mathbf{L}_c$ (neurons or SAE features),
and adjust their activations to suppress or amplify the concept’s influence on the model.
For each representation unit $u$ ($u=a_i \cdot e^{(i)}$ or $u=f_i$) indexed within $\mathbf{L}_{c}$,
we either apply a scalar multiplication or add an additive bias as
$$
\tilde{u}_i = \beta u_i \text{ (Scaling)}
\quad
\text{or}
\quad
\tilde{u}_i = u_i + \beta\text{ (Adding)},
\quad \forall i \in \mathbf{L}_{c}, \beta \in \mathbb{R}. \quad
$$
By applying a distinct parameter $\beta$, we can suppress or amplify the target feature to adjust the model.