From 076c79d9d26e7b8ba1b420f7823edf36b1bad0ad Mon Sep 17 00:00:00 2001
From: Antongiacomo Polimeno <antongiacomo.polimeno@unimi.it>
Date: Thu, 16 Nov 2023 15:01:46 +0100
Subject: [PATCH] examples pipeline

---
 pipeline_instance_example.tex | 39 ++++++++++++++++++++++++++++++++---
 pipeline_template_example.tex |  1 -
 2 files changed, 36 insertions(+), 4 deletions(-)

diff --git a/pipeline_instance_example.tex b/pipeline_instance_example.tex
index 5b19aa2..42060f5 100644
--- a/pipeline_instance_example.tex
+++ b/pipeline_instance_example.tex
@@ -3,9 +3,42 @@
   As an example, let us consider the pipeline template \tChartFunction in \cref{sec:example}.
   It includes three key stages in our reference scenario: data anonymization (\vi{1}), data enrichment (\vi{2}), and data aggregation (\vi{3}), each stage with its policy $p$.
 
-  The first vertex (\vi{1}) responsible for data anonymization is associated with three candidate services that satisfy the functional requirements of the first vertex, namely $s_1$, $s_2$ and $s_3$.
-  Services $s_1$ and $s_2$ are annotated with a profile that satisfies the data protection requirements in \P{1}, respectively.
-  The third service $s_3$ is annotated with a profile that does not satisfy the data protection requirements in \P{1}.
+
+  \begin{table*}
+    \caption{Services and their quality metrics.}
+    \label{tab:services}
+    \centering
+    \begin{tabular}[t]{ccc}
+      \toprule
+      \textbf{Stage} & \textbf{Transformation} & \textbf{Service} \\
+      \midrule
+      \vi{1}         & $p_1$                   & $s_1$            \\
+      \vi{1}         & $p_1$                   & $s_2$            \\
+      \vi{2}         & $p_2$                   & $s_3$            \\
+      \vi{2}         & $p_2$                   & $s_4$            \\
+      \vi{3}         & $p_3$                   & $s_5$            \\
+      \vi{3}         & $p_3$                   & $s_6$            \\
+      \bottomrule
+    \end{tabular}
+    \hspace{1em}
+    \begin{tabular}[t]{c|c}
+      \toprule
+      \textbf{Type}   & \textbf{Transformation} \\
+      \midrule
+      $\TF{\epsilon}$ & $Empty $                \\
+      $\TF{a}$        & $Additive$              \\
+      $\TF{t}$        & $Transformation$        \\
+      $\TF{d}$        & $Domain Change$         \\
+      \bottomrule
+    \end{tabular}
+
+  \end{table*}
+
+  The second stage \vi{1} is a preprocessing and cleaning serivce,
+  which implements
+
+
+
   The filtering algorithm then returns the set $S'=\{s_1,s_2\}$.
   The comparison algorithm is finally applied to $S'$ and returns a ranking of the services according to quality metrics, where $s_1$ is ranked first. $s_1$ is then selected and integrated in $\vii{1}\in \Vp$.
 
diff --git a/pipeline_template_example.tex b/pipeline_template_example.tex
index 579139c..e43dece 100644
--- a/pipeline_template_example.tex
+++ b/pipeline_template_example.tex
@@ -69,7 +69,6 @@ \subsection{Example}\label{sec:example}
     \vi{6}               & $\p{7}$         & \policy{$\langle user,role=   ``Partener Prison Officer"$}{dataset} {READ}{ANY}{   \tf{2} }     \\
     \vi{6}               & $\p{8}$         & \policy{$\langle user,role=   ``Any"$}{dataset} {READ}{ANY}{    \tf{3}  }                       \\
   \end{tabular}
-
   \begin{tabular}[t]{c|c|c}
     \textbf{\tf{i}} & \textbf{Anonymization} & \textbf{Columns Anonymized}                 \\\hline
     \tf{1}          & none                   & $\varnothing$                               \\