diff --git a/presentation/mainmatter/introduction.tex b/presentation/mainmatter/introduction.tex
index 4c9a6371fe5577a878344cf767ad05c186e21bf2..eab89fd3065cd1bf2b2ed5867126f930d5caf417 100644
--- a/presentation/mainmatter/introduction.tex
+++ b/presentation/mainmatter/introduction.tex
@@ -404,38 +404,6 @@
   \end{center}
 \end{frame}
 
-% Slide The full pipeline
-\begin{frame}
-  \frametitle{Electronic structure learning}
-  \framesubtitle{as integrated, high-level multiscale workflows}
-  % \framesubtitle{\href{https://go.fzj.de/wasmer}{go.fzj.de/wasmer}}
-  \vspace*{0em}
-
-  \includegraphics[width=1.0\textwidth]{../resources/fig/presentation-2023-02/atomistic-ml/classification-of-atomistic-ml_presentation-2023-02_02-emph-both_ktikz.pdf}
-
-  \vspace*{2em}
-  \begin{columns}[t]
-    \hspace{1em}
-    \begin{column}{0.6\linewidth}
-      \begin{center}
-        Electronic structure learning
-
-        for fast SCF convergence
-      \end{center}
-    \end{column}
-    \vrule{}
-    \hspace{1em}
-    \begin{column}{0.39\linewidth}
-      \begin{center}
-        Magnetic property prediction
-
-        for spin dynamics simulation
-      \end{center}
-    \end{column}
-  \end{columns}
-\end{frame}
-
-
 %%% Local Variables:
 %%% mode: latex
 %%% TeX-master: "../presentation"
diff --git a/presentation/mainmatter/vimp-prediction.tex b/presentation/mainmatter/vimp-prediction.tex
index 4215a6081c00de9309419f6fea0eafd8ceb30002..28686db7ace70aca598d6c42360d70ba97345003 100644
--- a/presentation/mainmatter/vimp-prediction.tex
+++ b/presentation/mainmatter/vimp-prediction.tex
@@ -1,10 +1,43 @@
 \section{Electronic structure learning}
 \label{sec:ml-esm}
 
+
+% Slide The full pipeline
+\begin{frame}
+  \frametitle{Vision: Electronic structure learning}
+  \framesubtitle{as integrated, high-level multiscale workflows}
+  % \framesubtitle{\href{https://go.fzj.de/wasmer}{go.fzj.de/wasmer}}
+  \vspace*{0em}
+
+  \includegraphics[width=1.0\textwidth]{../resources/fig/presentation-2023-02/atomistic-ml/classification-of-atomistic-ml_presentation-2023-02_02-emph-both_ktikz.pdf}
+
+  \vspace*{2em}
+  \begin{columns}[t]
+    \hspace{1em}
+    \begin{column}{0.6\linewidth}
+      \begin{center}
+        Electronic structure learning
+
+        for fast SCF convergence
+      \end{center}
+    \end{column}
+    \vrule{}
+    \hspace{1em}
+    \begin{column}{0.39\linewidth}
+      \begin{center}
+        Magnetic property prediction
+
+        for spin dynamics simulation
+      \end{center}
+    \end{column}
+  \end{columns}
+\end{frame}
+
+
 % Slide dataset generation (single-impurity-database)
 \begin{frame}[plain]
   \frametitle{Data generation}
-  \framesubtitle{with \logoAiida -KKR}
+  \framesubtitle{for this project, with \logoAiida -KKR}
   % frametitle notes: Vimp-prediction qnd
 
   \begin{columns}[c]
@@ -57,6 +90,31 @@
   \end{columns}
 \end{frame}
 
+% Slide Jacobi-Legendre framework
+\begin{frame}[plain,c]
+  \frametitle{The Jacobi-Legendre framework\footcite{dominaJacobiLegendreFrameworkMachine2024}}
+  \framesubtitle{for electronic structure representation}
+  \vspace*{0em}
+  \begin{columns}[c]
+    \begin{column}{0.68\linewidth}
+      \begin{center}
+      %   \includegraphics[width=1.0\linewidth]{../resources/fig/external/papers/dominaJacobiLegendreFrameworkMachine2024/processed/fig5.1-with-polynomials.png}%
+
+      \includegraphics[width=0.9\linewidth]{../resources/fig/external/papers/dominaJacobiLegendreFrameworkMachine2024/originals/fig4.1.pdf}%
+      \vspace*{0.0em}
+      \includegraphics[width=0.9\linewidth]{../resources/fig/external/papers/dominaJacobiLegendreFrameworkMachine2024/processed/fig-5.1-first-row-only.png}%
+      \end{center}
+    \end{column}
+    \vrule{}                    % vertical separator line
+    \hspace*{1em}
+    \begin{column}{0.32\linewidth}
+      \vspace*{0em}
+
+      \includegraphics[width=0.75\linewidth]{../resources/fig/external/papers/dominaJacobiLegendreFrameworkMachine2024/processed/fig6.2-300dpi-narrower-1.png}%
+    \end{column}
+  \end{columns}
+  \vspace*{0em}
+\end{frame}
 
 %%% Local Variables:
 %%% mode: latex