To show that proposed truncated Vendi score remains feasible under arbitrary embedding selection, we conducted experiments from Figures \ref{VENDI_ffhq_truncation} and \ref{VENDI_imagenet_truncation}. Figures \ref{VENDI_imagenet_clip_diversity}, \ref{VENDI_ffhq_truncation_clip_diversity}, \ref{VENDI_imagenet_swav_diversity} and \ref{VENDI_ffhq_truncation_swav_diversity} extend the results to CLIP \cite{radford_learning_2021} and SWaV \cite{caron_unsupervised_2020} embeddings. These experiments demonstrate that FKEA, Nyström and $t$-truncated Vendi correlate with increasing diversity of the evaluated dataset. We emphasize that proposed statistic remains feasible under arbitrary embedding space that is capable of mapping image samples into a latent space.


\begin{figure}
    \centering
    \includegraphics[width=\textwidth]{figures_final/embedding_selection/clip/imagenet_truncation_by_alphas.png}
    \caption{Diversity evaluation of Vendi scores on ImageNet dataset with varying number of classes based on \textit{CLIP} embedding and bandwidth $\sigma=5.0$}
  \label{VENDI_imagenet_clip_diversity}
\end{figure}

\begin{figure}
    \centering
    \includegraphics[width=\textwidth]{figures_final/embedding_selection/clip/ffhq_truncation_by_alphas.png}
    \caption{Diversity evaluation of Vendi scores on truncated StyleGAN3 generated FFHQ with varying truncation coefficient $\psi$ based on \textit{CLIP} embedding and bandwidth $\sigma=5.0$}
  \label{VENDI_ffhq_truncation_clip_diversity}
\end{figure}

\begin{figure}
    \centering
    \includegraphics[width=\textwidth]{figures_final/embedding_selection/swav/imagenet_truncation_by_alphas.png}
    \caption{Diversity evaluation of Vendi scores on ImageNet dataset with varying number of classes based on \textit{SWaV} embedding and bandwidth $\sigma=1.0$}
  \label{VENDI_imagenet_swav_diversity}
\end{figure}

\begin{figure}
    \centering
    \includegraphics[width=\textwidth]{figures_final/embedding_selection/swav/ffhq_truncation_by_alphas.png}
    \caption{Diversity evaluation of Vendi scores on truncated StyleGAN3 generated FFHQ with varying truncation coefficient $\psi$ based on \textit{SwAV} embedding and bandwidth $\sigma=1.0$}
  \label{VENDI_ffhq_truncation_swav_diversity}
\end{figure}