diff --git a/Presentation/IceMelting_Final_Habscheid_2025.pdf b/Presentation/IceMelting_Final_Habscheid_2025.pdf
index befc5e346918c60663824fa43d9bf20d95d3f8df..f21a8c3fb7a952a65824f6a8501ce26ee9a0c4ba 100644
Binary files a/Presentation/IceMelting_Final_Habscheid_2025.pdf and b/Presentation/IceMelting_Final_Habscheid_2025.pdf differ
diff --git a/Presentation/IceMelting_Final_Habscheid_2025.tex b/Presentation/IceMelting_Final_Habscheid_2025.tex
index 8c90da0be34bba50b1601f97790a83839e068c94..3efa1f9fc05654d6f4d39293c6ae4b9b52641254 100644
--- a/Presentation/IceMelting_Final_Habscheid_2025.tex
+++ b/Presentation/IceMelting_Final_Habscheid_2025.tex
@@ -11,6 +11,8 @@
\usepackage{soul} % for strike through
\usepackage{tcolorbox} % for colored boxes
\usepackage{xcolor}
+% \usepackage{MnSymbol,wasysym}
+\usepackage{tikzsymbols} % for smileys
% Define colors based on Metropolis
\definecolor{mblue}{rgb}{0.0, 0.45, 0.7} % Metropolis primary color
@@ -104,8 +106,9 @@
\begin{frame}{Computational Setup}
\begin{figure}
\centering
- \foreach \n in {4,...,9} {
- \pgfmathtruncatemacro{\nnow}{\n-3} % Define a new variable \nnow = \n - 11
+ % \foreach \n in {4,...,9} {
+ \foreach \n in {6,...,9} {
+ \pgfmathtruncatemacro{\nnow}{\n-5} % Define a new variable
\only<\nnow>{\includegraphics[width=\textwidth,page=\n]{Figures/CryobotConceptual.pdf}}
}
\end{figure}
@@ -134,21 +137,29 @@
\begin{Infobox}{Dimensionless Variables:}
\begin{equation*}
\begin{aligned}
- \Theta &= \frac{T - T_{\text{ICE,min}}}{T_{\text{MELTING}} - T_{\text{ICE,min}}}, \quad \xi = \frac{x}{L}, \quad \tau = \frac{t}{t_\text{ref}}, \quad t_\text{ref} = \frac{\rho_\text{ref}c_{p,\text{ref}}L^2}{\lambda_\text{ref}} \approx \colorbox{orange}{5.95 \text{days}}
+ \onslide<1->{
+ \Theta &= \frac{T - T_{\text{ICE,min}}}{T_{\text{MELTING}} - T_{\text{ICE,min}}}, \quad \xi = \frac{x}{L}, \quad \tau = \frac{t}{t_\text{ref}}, \quad t_\text{ref} = \frac{\rho_\text{ref}c_{p,\text{ref}}L^2}{\lambda_\text{ref}} \approx \colorbox{orange}{5.95 \text{days}}
+ }
\\
- \lambda^* &= \frac{\lambda}{\lambda(T_\text{ref})}, \quad \rho^* = \frac{\rho}{\rho(T_\text{ref})}, \quad c_p^* = \frac{c_p}{c_p(T_\text{ref})}
+ \onslide<2->{
+ \lambda^* &= \frac{\lambda}{\lambda(T_\text{ref})}, \quad \rho^* = \frac{\rho}{\rho(T_\text{ref})}, \quad c_p^* = \frac{c_p}{c_p(T_\text{ref})}
+ }
\\
- &\text{with: }T_\text{ICE,min} = T_\text{ref} = 100 \text{K}, \quad T_\text{MELTING} = 273.15 \text{K}, \quad L = 2 \text{m}
+ \onslide<3->{
+ &\text{with: }T_\text{ICE,min} = T_\text{ref} = 100 \text{K}, \quad T_\text{MELTING} = 273.15 \text{K}, \quad L = 2 \text{m}
+ }
\end{aligned}
\end{equation*}
\end{Infobox}
- \textbf{Dimensionless Heat Equation:}
- \begin{equation*}
- \begin{aligned}
- \rho^*(\Theta) c_p^*(\Theta) \frac{\partial \Theta}{\partial \tau} &= \frac{\partial}{\partial \xi} \left( \lambda^*(\Theta) \frac{\partial \Theta}{\partial \xi} \right)\quad \text{in } \Omega^* =[0,1] \\
- \text{with: }\Theta(\xi=0,\tau) &= \Theta_\text{ICE}, \Theta(\xi=1,\tau)=1, \Theta(\xi,\tau=0)=\Theta_\text{ICE} \\
- \end{aligned}
- \end{equation*}
+ \onslide<4->{
+ \textbf{Dimensionless Heat Equation:}
+ \begin{equation*}
+ \begin{aligned}
+ \rho^*(\Theta) c_p^*(\Theta) \frac{\partial \Theta}{\partial \tau} &= \frac{\partial}{\partial \xi} \left( \lambda^*(\Theta) \frac{\partial \Theta}{\partial \xi} \right)\quad \text{in } \Omega^* =[0,1] \\
+ \text{with: }\Theta(\xi=0,\tau) &= \Theta_\text{ICE}, \Theta(\xi=1,\tau)=1, \Theta(\xi,\tau=0)=\Theta_\text{ICE} \\
+ \end{aligned}
+ \end{equation*}
+ }
\end{frame}
% Trans Behavior
@@ -174,7 +185,7 @@
% Workflow
% Todo: Change to dimensionless
-% ? Do I want this really?
+% ? Do I really want this?
\begin{frame}{Surrogate Modeling Workflow}
\begin{figure}
\centering
@@ -198,38 +209,38 @@
};
\end{tikzpicture}
- % \begin{tikzpicture}
- % \node[anchor=north east, yshift=-5pt] {
- % \includegraphics[width=3cm]{Figures/Schematic_DataSplitting.jpg}
- % };
- % \end{tikzpicture}
-
- % \textbf{Setup:}
\begin{equation*}
\begin{aligned}
- \text{Data Splitting:}
- &\begin{cases}
- \underbrace{samples_\text{train,test} = 120, samples_\text{validate} = 20}_{\text{random ICE temperature}}
- \end{cases}\\
- \text{Numerical Properties}
- &\begin{cases}
- \Theta(\xi=0) \in [\Theta_\text{min},\Theta_\text{max}]
- \\
- \text{with: } \Theta_\text{min} = \Theta(100K) = 0.0, \Theta_\text{max} = \Theta(200\text{K}) = 0.5775
- \\
- \tau \in [0,1], \Delta t = 0.0004, n_x = 2048
- % \\
- \end{cases}
+ \onslide<1->{
+ \text{Data Splitting:}
+ &\begin{cases}
+ \underbrace{samples_\text{train,test} = 120, samples_\text{validate} = 20}_{\text{random ICE temperature}}
+ \end{cases}
+ }
+ \\
+ \onslide<2->{
+ \text{Numerical Properties}
+ &\begin{cases}
+ \Theta(\xi=0) \in [\Theta_\text{min},\Theta_\text{max}]
+ \\
+ \text{with: } \Theta_\text{min} = \Theta(100K) = 0.0, \Theta_\text{max} = \Theta(200\text{K}) = 0.5775
+ \\
+ \tau \in [0,1], \Delta t = 0.0004, n_x = 2048
+ % \\
+ \end{cases}
+ }
\end{aligned}
\end{equation*}
- \onslide<2->{\textbf{Data Splitting:}
- \begin{itemize}
- \item Train and test data is splitted randomly (80/20) \Warning
- \end{itemize}}
- \onslide<5->{
+ \onslide<3->{
+ \textbf{Data Splitting:}
+ \begin{itemize}
+ \item Train and test data is splitted randomly (80/20) \Warning
+ \end{itemize}
+ }
+ \onslide<4->{
\textbf{Extrapolate:}\\
\begin{itemize}
- \onslide<6->\item 10 uniformly spaced Ice temperatures: $\Theta(\xi =0) \in [\Theta_\text{max}, 1]$ \Warning
+ \item 10 uniformly spaced Ice temperatures: $\Theta(\xi =0) \in [\Theta_\text{max}, 1]$ \Warning
\end{itemize}
}
\end{frame}
@@ -239,10 +250,91 @@
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}{ANN - Forward Neural Network}
\begin{figure}
- \includegraphics[height=0.5\textheight,page=41]{Figures/CryobotConceptual.pdf}
+ % \includegraphics[height=0.5\textheight,page=41]{Figures/CryobotConceptual.pdf}
+ \begin{tikzpicture}[scale=0.8, transform shape]
+ % Define the number of neurons in each layer
+ \def\inputnum{2}
+ \def\hiddennum{5}
+ \def\outputnum{1}
+
+ % Input Layer
+ \foreach \i in {1,...,\inputnum}
+ {
+ \node[circle,
+ minimum size = 9mm,
+ fill=orange!30] (Input-\i) at (0,-\i) {};
+ }
+
+ % Hidden Layer
+ \foreach \i in {1,...,\hiddennum}
+ {
+ \node[circle,
+ minimum size = 6mm,
+ fill=teal!50,
+ yshift=(\hiddennum-\inputnum)*5 mm
+ ] (Hidden1-\i) at (2.5,-\i) {};
+ }
+
+ % Hidden Layer
+ \foreach \i in {1,...,\hiddennum}
+ {
+ \node[circle,
+ minimum size = 6mm,
+ fill=teal!50,
+ yshift=(\hiddennum-\inputnum)*5 mm
+ ] (Hidden2-\i) at (5,-\i) {};
+ }
+
+ % Output Layer
+ \foreach \i in {1,...,\outputnum}
+ {
+ \node[circle,
+ minimum size = 9mm,
+ fill=purple!50,
+ yshift=(\outputnum-\inputnum)*5 mm
+ ] (Output-\i) at (7.5,-\i) {};
+ }
+
+ % Connect neurons In-Hidden
+ \foreach \i in {1,...,\inputnum}
+ {
+ \foreach \j in {1,...,\hiddennum}
+ {
+ \draw[->, shorten >=1pt] (Input-\i) -- (Hidden1-\j);
+ }
+ }
+
+ % Connect neurons Hidden-Hidden
+ \foreach \i in {1,...,\hiddennum}
+ {
+ \foreach \j in {1,...,\hiddennum}
+ {
+ \draw[->, shorten >=1pt] (Hidden1-\i) -- (Hidden2-\j);
+ }
+ }
+
+ % Connect neurons Hidden-Out
+ \foreach \i in {1,...,\hiddennum}
+ {
+ \foreach \j in {1,...,\outputnum}
+ {
+ \draw[->, shorten >=1pt] (Hidden2-\i) -- (Output-\j);
+ }
+ }
+
+ % Inputs
+ \draw[<-, shorten >=1pt] (Input-1) -- ++(-1,0)
+ node[left]{\Large$\Theta_\text{ICE}$};
+ \draw[<-, shorten >=1pt] (Input-2) -- ++(-1,0)
+ node[left]{\Large$\tau$};
+
+ % Outputs
+ \draw[->, shorten >=1pt] (Output-1) -- ++(1,0)
+ node[right]{\Large$q(\xi=1)$};
+ \end{tikzpicture}
\end{figure}
\onslide<2->{\textbf{
- Questions:}
+ Questions:}\\
\onslide<3->{Number of layers?}
\onslide<4->{Number of neurons per layer?}
\onslide<5->{Activation function?}
@@ -263,24 +355,27 @@
\end{figure}
\end{column}
\begin{column}{0.4\textwidth}
- \begin{Infobox}{Optimal Hyperparameter:}
- \begin{table}[ht]
- \centering
- \begin{tabular}{ll}
- % \toprule
- Layer & 3 \\
- Neurons & 149 \\
- Activation & \texttt{tanh} \\
- Batch size & 34 \\
- % \bottomrule
- \end{tabular}
- \end{table}
- \end{Infobox}
- \textbf{Further Information:}
+ \onslide<2->{
+ \begin{Infobox}{Optimal Hyperparameter:}
+ \begin{table}[ht]
+ \centering
+ \begin{tabular}{ll}
+ % \toprule
+ Layer & 3 \\
+ Neurons & 149 \\
+ Activation & \texttt{tanh} \\
+ Batch size & 34 \\
+ % \bottomrule
+ \end{tabular}
+ \end{table}
+ \end{Infobox}
+ }
+ \onslide<3->{
+ \textbf{Further Information:}
+ }
\begin{itemize}
- \onslide<2->\item No scaling (dimensionless variables)
- \onslide<3->\item Reducing Learning Rate on Plateau
- % \onslide<4->\item Early Stopping
+ \onslide<3->\item No scaling (dimensionless variables)
+ \onslide<4->\item Reducing Learning Rate on Plateau
\end{itemize}
\end{column}
\end{columns}
@@ -294,19 +389,21 @@
\end{figure}
\end{column}
\begin{column}{0.3\textwidth}
- \begin{table}[ht]
- \centering
- \begin{tabular}{ll}
- \toprule
- \textbf{Measure} & \textbf{Value} \\
- \midrule
- MAE & $6.137e-3$ \\
- MAPE & $7.560e-3$ \\
- MSE & $8.090e-5$ \\
- RMSE & $8.425e-3$ \\
- \bottomrule
- \end{tabular}
- \end{table}
+ \onslide<2->{
+ \begin{table}[ht]
+ \centering
+ \begin{tabular}{ll}
+ \toprule
+ \textbf{Measure} & \textbf{Value} \\
+ \midrule
+ MAE & $6.137e-3$ \\
+ MAPE & $7.560e-3$ \\
+ MSE & $8.090e-5$ \\
+ RMSE & $8.425e-3$ \\
+ \bottomrule
+ \end{tabular}
+ \end{table}
+ }
\end{column}
\end{columns}
\end{frame}
@@ -316,23 +413,25 @@
\begin{column}{0.7\textwidth}
\begin{figure}
\includegraphics[height=0.43\textheight]{Figures/ANN/HeatFluxError_Abs_Rel_Extrapolation_Zoom.pdf}
- \includegraphics[height=0.43\textheight]{Figures/ANN/HeatFluxPrediction_3DPlot_Extrapolation.pdf}
+ \onslide<2->\includegraphics[height=0.43\textheight]{Figures/ANN/HeatFluxPrediction_3DPlot_Extrapolation.pdf}
\end{figure}
\end{column}
\begin{column}{0.3\textwidth}
- \begin{table}[ht]
- \centering
- \begin{tabular}{ll}
- \toprule
- \textbf{Measure} & \textbf{Value} \\
- \midrule
- MAE & $1.504e-1$ \\
- MAPE & $6.574e-1$ \\
- MSE & $1.210e-1$ \\
- RMSE & $2.788e-1$ \\
- \bottomrule
- \end{tabular}
- \end{table}
+ \onslide<3->{
+ \begin{table}[ht]
+ \centering
+ \begin{tabular}{ll}
+ \toprule
+ \textbf{Measure} & \textbf{Value} \\
+ \midrule
+ MAE & $1.504e-1$ \\
+ MAPE & $6.574e-1$ \\
+ MSE & $1.210e-1$ \\
+ RMSE & $2.788e-1$ \\
+ \bottomrule
+ \end{tabular}
+ \end{table}
+ }
\end{column}
\end{columns}
\end{frame}
@@ -376,10 +475,12 @@
\onslide<1->\item Loss Function
% \onslide<3->\item Initialization time for discontinuities
\end{itemize}
- \onslide<2->\begin{figure}
- \centering
- \includegraphics[width=0.75\textwidth]{Figures/PINN/BCS/SoftBCS.pdf}
- \end{figure}
+ \onslide<2->{
+ \begin{figure}
+ \centering
+ \includegraphics[width=0.75\textwidth]{Figures/PINN/BCS/SoftBCS.pdf}
+ \end{figure}
+ }
\end{Infobox}
\end{column}
\begin{column}{.5\textwidth}
@@ -388,10 +489,12 @@
\onslide<3->\item Guaranteed (Output Transformation)
% \onslide<6->\item Oscillatory behavior for $\Theta$
\end{itemize}
- \onslide<4->\begin{figure}
- \centering
- \includegraphics[width=0.75\textwidth]{Figures/PINN/BCS/HardBCS.pdf}
- \end{figure}
+ \onslide<4->{
+ \begin{figure}
+ \centering
+ \includegraphics[width=0.75\textwidth]{Figures/PINN/BCS/HardBCS.pdf}
+ \end{figure}
+ }
\end{Infobox}
\end{column}
\end{columns}
@@ -402,27 +505,29 @@
\onslide<2->{Discretizing the time}
\begin{columns}
\begin{column}{0.6\textwidth}
- \begin{Infobox}{Discretized Time Treatment}
- \begin{equation*}
- \begin{aligned}
- \onslide<3->{
- \rho^{*,i+1} &c_p^{*,i+1} \frac{\Theta^{i+1} - \Theta^i}{\Delta t} = \frac{\partial}{\partial \xi} \left( \lambda^{*,i+1} \frac{\partial \Theta^{i+1}}{\partial \xi} \right)
- \\
- }
- \onslide<4->{
- \tilde{\mathcal{L}} &= \tilde{\mathcal{L}}_{\text{PDE}} + w_{\text{BCS}}\tilde{\mathcal{L}}_{\text{BCS}}
- \\
- }
- \onslide<5->{
- \tilde{\mathcal{L}}_\text{PDE} &= \frac{1}{N_{\text{PDE}}}\sum_{i=1}^{N_{\text{PDE}}} \bigg| \rho^{*,i+1} c_p^{*,i+1} \frac{\Theta^{i+1} - \Theta^i}{\Delta t}
- \\
- &- \frac{\partial}{\partial \xi} \left( \lambda^{*,i+1} \frac{\partial \Theta^{i+1}}{\partial \xi} \right) \bigg|^2
- }
- \end{aligned}
- \end{equation*}
- \end{Infobox}
+ \onslide<2->{
+ \begin{Infobox}{Discretized Time Treatment}
+ \begin{equation*}
+ \begin{aligned}
+ \onslide<2->{
+ \rho^{*,i+1} &c_p^{*,i+1} \frac{\Theta^{i+1} - \Theta^i}{\Delta t} = \frac{\partial}{\partial \xi} \left( \lambda^{*,i+1} \frac{\partial \Theta^{i+1}}{\partial \xi} \right)
+ \\
+ }
+ \onslide<3->{
+ \tilde{\mathcal{L}} &= \tilde{\mathcal{L}}_{\text{PDE}} + w_{\text{BCS}}\tilde{\mathcal{L}}_{\text{BCS}}
+ \\
+ }
+ \onslide<3->{
+ \tilde{\mathcal{L}}_\text{PDE} &= \frac{1}{N_{\text{PDE}}}\sum_{i=1}^{N_{\text{PDE}}} \bigg| \rho^{*,i+1} c_p^{*,i+1} \frac{\Theta^{i+1} - \Theta^i}{\Delta t}
+ \\
+ &- \frac{\partial}{\partial \xi} \left( \lambda^{*,i+1} \frac{\partial \Theta^{i+1}}{\partial \xi} \right) \bigg|^2
+ }
+ \end{aligned}
+ \end{equation*}
+ \end{Infobox}
+ }
\end{column}
- \onslide<6->\begin{column}{0.5\textwidth}
+ \onslide<4->\begin{column}{0.5\textwidth}
\begin{figure}
\centering
\includegraphics[width=.8\textwidth]{Figures/PINN/BCS/Discretized_BCS.pdf}
@@ -439,23 +544,27 @@
\end{figure}
\end{column}
\begin{column}{0.4\textwidth}
- \begin{Infobox}{Optimal Hyperparameter:}
- \begin{table}[ht]
- \centering
- \begin{tabular}{ll}
- % \toprule
- Layer & 5 \\
- Neurons & 35 \\
- Activation & \texttt{tanh} \\
- % \bottomrule
- \end{tabular}
- \end{table}
- \end{Infobox}
- \textbf{Further Information:}
- \begin{itemize}
- \onslide<2->\item No scaling due to dimensionless variables
- \onslide<3->\item Tuner: (10 time steps), Training: (100 time steps)
- \end{itemize}
+ \onslide<2->{
+ \begin{Infobox}{Optimal Hyperparameter:}
+ \begin{table}[ht]
+ \centering
+ \begin{tabular}{ll}
+ % \toprule
+ Layer & 5 \\
+ Neurons & 35 \\
+ Activation & \texttt{tanh} \\
+ % \bottomrule
+ \end{tabular}
+ \end{table}
+ \end{Infobox}
+ }
+ \onslide<3->{
+ \textbf{Further Information:}
+ \begin{itemize}
+ \item No scaling due to dimensionless variables
+ \item Tuner: (10 time steps), Training: (100 time steps)
+ \end{itemize}
+ }
\end{column}
\end{columns}
\end{frame}
@@ -471,19 +580,21 @@
\end{figure}
\end{column}
\begin{column}{0.3\textwidth}
- \begin{table}[ht]
- \centering
- \begin{tabular}{ll}
- \toprule
- \textbf{Measure} & \textbf{Value} \\
- \midrule
- MAE & $4.346e-3$ \\
- MAPE & $5.366e-3$ \\
- MSE & $5.379e-5$ \\
- RMSE & $4.695e-3$ \\
- \bottomrule
- \end{tabular}
- \end{table}
+ \onslide<2->{
+ \begin{table}[ht]
+ \centering
+ \begin{tabular}{ll}
+ \toprule
+ \textbf{Measure} & \textbf{Value} \\
+ \midrule
+ MAE & $4.346e-3$ \\
+ MAPE & $5.366e-3$ \\
+ MSE & $5.379e-5$ \\
+ RMSE & $4.695e-3$ \\
+ \bottomrule
+ \end{tabular}
+ \end{table}
+ }
\end{column}
\end{columns}
\end{frame}
@@ -499,19 +610,21 @@
\end{figure}
\end{column}
\begin{column}{0.3\textwidth}
- \begin{table}[ht]
- \centering
- \begin{tabular}{ll}
- \toprule
- \textbf{Measure} & \textbf{Value} \\
- \midrule
- MAE & $3.560e-2$ \\
- MAPE & $2.938e-1$ \\
- MSE & $4.223e-3$ \\
- RMSE & $4.226e-2$ \\
- \bottomrule
- \end{tabular}
- \end{table}
+ \onslide<2->{
+ \begin{table}[ht]
+ \centering
+ \begin{tabular}{ll}
+ \toprule
+ \textbf{Measure} & \textbf{Value} \\
+ \midrule
+ MAE & $3.560e-2$ \\
+ MAPE & $2.938e-1$ \\
+ MSE & $4.223e-3$ \\
+ RMSE & $4.226e-2$ \\
+ \bottomrule
+ \end{tabular}
+ \end{table}
+ }
\end{column}
\end{columns}
\end{frame}
@@ -529,10 +642,16 @@
\textbf{Method} & \textbf{Training} & \textbf{Tuning} & \textbf{Evaluation} \\
\midrule
\textbf{FEM} & $4787.26$s & - & $32$s \\
- \textbf{ANN} & $9628.32$s & $12487.74$s & $2.58e-5$s \\
+ \onslide<2->{
+ \textbf{ANN} & $9628.32$s & $12487.74$s & $2.58e-5$s
+ }
+ \\
% PINN (Continuous) & $190.48$s & $945.75$s & $1.83e-05$s \\
- \textbf{PINN} & $
- 2390.81$s (100 steps) & $6265.00$s (10 steps) & $2.53e-03$s \\
+ \onslide<3->{
+ \textbf{PINN} & $
+ 2390.81$s (100 steps) & $6265.00$s (10 steps) & $2.53e-03$s
+ }
+ \\
% \bottomrule
\end{tabular}
\end{table}
@@ -542,31 +661,66 @@
% Conclusion
\begin{frame}{Conclusions}
- \begin{columns}
- \begin{column}{0.5\textwidth}
- \begin{Infobox}{ANN}
- \begin{itemize}
- \item[--] Accuracy
- \item[+] Fast evaluation
- \item[+] Easy to implement and to tune
- \item[--] Poor extrapolation
- \end{itemize}
- \end{Infobox}
- \end{column}
- \begin{column}{0.5\textwidth}
- \begin{Infobox}{PINN}
- \begin{itemize}
- \item[+] Accuracy
- \item Fast evaluation
- \item[--] More complex to implement and tune
- \begin{itemize}
- \item Be careful with the output!
- \end{itemize}
- \item[+] Extrapolation
- \end{itemize}
- \end{Infobox}
- \end{column}
- \end{columns}
+ \begin{Infobox}{Lets sum it up}
+ \begin{table}[ht]
+ \centering
+ \begin{tabular}{l|cc}
+ % \toprule
+ \textbf{Category} & \textbf{ANN} & \textbf{PINN} \\
+ \midrule
+ \onslide<2->{
+ \textbf{Accuracy} & \Huge\Neutrey & \Huge\Smiley
+ }
+ \\
+ \onslide<3->{
+ \textbf{Evaluation time} & \Huge\Smiley & \Huge\Neutrey
+ }
+ \\
+ \onslide<4->{
+ \textbf{Training/Tuning time} & \Huge\Neutrey & \Huge\Smiley
+ }
+ \\
+ \onslide<5->{
+ \textbf{Usability} & \Huge\Smiley & \Huge\Sadey
+ }
+ \\
+ \onslide<6->{
+ \textbf{Extrapolation} & \Huge\Sadey & \Huge\Smiley
+ }
+ \\
+ % \bottomrule
+ % \textbf{Overall} & 3/5 & 3.5/5 \\
+ \end{tabular}
+ \end{table}
+ % \vspace{-.5cm}
+ \end{Infobox}
+ % \begin{columns}
+ % \begin{column}{0.5\textwidth}
+ % \begin{Infobox}{ANN}
+ % \begin{itemize}
+ % \onslide<2->{\item[--] Accuracy}
+ % \item \Smiley \Sadey, \Neutrey
+ % \onslide<3->{\item[+] Fast evaluation}
+ % \onslide<4->{\item[+] Easy to implement and to tune}
+ % \onslide<5->{\item[--] Poor extrapolation}
+ % \end{itemize}
+ % \end{Infobox}
+ % \end{column}
+ % \begin{column}{0.5\textwidth}
+ % \begin{Infobox}{PINN}
+ % \begin{itemize}
+ % \onslide<2->{\item[+] Accuracy}
+ % \onslide<3->{\item Fast evaluation}
+ % \onslide<4->{\item[--] More complex to implement and tune
+ % \begin{itemize}
+ % \item Be careful with the output!
+ % \end{itemize}
+ % }
+ % \onslide<5->{\item[+] Extrapolation}
+ % \end{itemize}
+ % \end{Infobox}
+ % \end{column}
+ % \end{columns}
\end{frame}
% Questions