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repro-polyilr-aitchison-simplex / source_extract /figure /binary-vs-poly.tex
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\begin{tikzpicture}[
scale=0.9,
font=\small,
% Tree Styles
level distance=1.5cm,
% Node Styles
treenode/.style={circle, draw, line width=0.8pt, inner sep=0pt,
drop shadow={opacity=0.3, shadow xshift=1.5pt, shadow yshift=-1.5pt}},
leaf/.style={treenode, draw=blue!50!black, fill=blue!10, minimum size=7mm},
internal_binary/.style={treenode, draw=gray!70!black, fill=gray!15, minimum size=8mm},
internal_poly/.style={treenode, draw=red!70!black, fill=red!15, minimum size=8mm, line width=1pt},
internal_artificial/.style={treenode, draw=yellow!70!black, fill=yellow!25, minimum size=8mm, line width=1pt, dashed},
% Edge Styles
edge from parent/.style={draw, line width=0.8pt, gray!60}
]
% ==========================================
% PANEL A: ORIGINAL POLYTOMOUS TREE
% ==========================================
\begin{scope}[xshift=0cm]
% Title
\node[font=\bfseries\large, anchor=south] at (0.9, -0.2) {Original $\mathcal{T}$};
% --- The Tree ---
\node[internal_poly] (root) at (0.9, -1) {}
child[sibling distance=1.8cm] {node[leaf] {1}}
child[sibling distance=1.8cm] {node[leaf] {2}}
child[sibling distance=1.8cm] {node[internal_binary] (A) {}
child[sibling distance=1.1cm] {node[leaf] {3}}
child[sibling distance=1.1cm] {node[leaf] {4}}
};
% Label for k=3
\node[right=0.15cm of root, font=\small, text=red!60!black] {$k\!=\!3$};
% --- The Matrix ---
\begin{scope}[yshift=-5.0cm]
% Matrix Frame
\draw[fill=white, drop shadow={opacity=0.1}] (0.0, 0) rectangle (2.4, -0.7);
% Root columns (red) - 2 columns for k=3
\fill[red!15] (0.0, 0) rectangle (1.6, -0.7);
\draw[red!30] (0.8, 0) -- (0.8, -0.7);
% Binary node column (gray) - 1 column
\fill[gray!15] (1.6, 0) rectangle (2.4, -0.7);
% Frame
\draw[thick] (0.0, 0) rectangle (2.4, -0.7);
% Matrix Label below
\node[font=\large, anchor=north] at (1.2, -0.9) {$V \in \mathbb{R}^{4 \times 3}$};
\end{scope}
% Dotted arrow from root to V columns - less curvy
\draw[-{Stealth[length=2.5mm]}, red!40, line width=1.2pt, dashed]
(root.south west) .. controls (-0.5, -3.0) and (0.0, -4.0) .. (0.8, -4.8);
\end{scope}
% ==========================================
% SEPARATOR
% ==========================================
\draw[gray!20, line width=1.5pt] (4.2, 0) -- (4.2, -5.5);
% ==========================================
% PANEL B: BINARIZED TREE
% ==========================================
\begin{scope}[xshift=6.0cm]
% Title
\node[font=\bfseries\large, anchor=south] at (0.9, -0.2) {Binarized $\mathcal{T}_b$};
% --- The Tree ---
\node[internal_binary] (root_b) at (0.9, -1) {}
child[sibling distance=2.5cm] {node[internal_artificial] (art) {}
child[sibling distance=1.1cm] {node[leaf] {1}}
child[sibling distance=1.1cm] {node[leaf] {2}}
}
child[sibling distance=2.5cm] {node[internal_binary] {}
child[sibling distance=1.1cm] {node[leaf] {3}}
child[sibling distance=1.1cm] {node[leaf] {4}}
};
% Label for artificial node
\node[right=0.05cm of art, font=\small, text=yellow!60!black] {artificial};
% --- The Matrix ---
\begin{scope}[yshift=-5.0cm]
% Matrix Frame
\draw[fill=white, drop shadow={opacity=0.1}] (-0.3, 0) rectangle (2.1, -0.7);
% Root column (gray - now binary)
\fill[gray!15] (-0.3, 0) rectangle (0.5, -0.7);
% Artificial node column (yellow)
\fill[yellow!25] (0.5, 0) rectangle (1.3, -0.7);
% Other binary node column (gray)
\fill[gray!15] (1.3, 0) rectangle (2.1, -0.7);
% Grid lines
\draw[gray!30] (0.5, 0) -- (0.5, -0.7);
\draw[yellow!50] (1.3, 0) -- (1.3, -0.7);
% Frame
\draw[thick] (-0.3, 0) rectangle (2.1, -0.7);
% Matrix Label below
\node[font=\large, anchor=north] at (0.9, -0.9) {$V_b \in \mathbb{R}^{4 \times 3}$};
\end{scope}
\end{scope}
% Bounding box
\path (-1.5, -7.0) rectangle (10, 1);
\end{tikzpicture}