First commmit

.gitignore

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+images/

Makefile

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+# This is LuaTeX, Version 0.95.0 (TeX Live 2016/Debian)
+#
+# Luis A. Ochoa
+
+TEX      = lualatex
+TEXFLAGS = --shell-escape --output-directory=images
+
+IMAGES_TEX = $(wildcard *.tex)
+IMAGES_PDF = $(subst tex,pdf,$(IMAGES_TEX))
+
+build: $(IMAGES_PDF)
+
+%.pdf: %.tex
+	$(TEX) $(TEXFLAGS) $<
+
+clean:
+	$(RM) images/*.aux images/*.log images/*.pdf
+
+$(shell mkdir -p images)

README.md

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+# Support-Vector Machine with TikZ
+
+## Requirements
+
+* LuaTeX, Version 0.95.0
+* Pack­age fontspec
+* Pack­age unicode-math
+* Pack­age tikz
+* Pack­age pgfplots
+* Font TeX Gyre Heros
+* Font TeX Gyre Termes Math
+
+## Build
+
+    make build
+
+## License
+
+Copyright 2019 Luis A. Ochoa
+
+Support-Vector Machine with TikZ is licensed under a
+Creative Commons Attribution 4.0 International License.
+See [LICENSE](LICENSE) for the full lecense text.

SVM-C.dat

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+x   y   label
+1   1   a
+1   5   a
+1.5 9   a
+2   7.5 a
+2.5 3   a
+3   6   a
+3.5 4   a
+3.5 8   a
+4.5 2   a
+4.5 7   a
+5.5 3   b
+5.5 9   b
+6.5 1   b
+6.5 5   b
+6.5 8   b
+7.5 6   b
+8   9.5 b
+8.5 3.5 b
+9   1.5 b
+9   8.5 b

SVM-R2.tex

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+\RequirePackage{luatex85}
+\documentclass{standalone}
+
+\usepackage{amsmath}
+
+\usepackage{fontspec, unicode-math}
+\setsansfont[Scale=MatchLowercase]{TeX Gyre Heros}
+\setmathfont{TeX Gyre Termes Math}
+
+% https://material.io/design/color/the-color-system.html
+\usepackage[svgnames, table]{xcolor}
+\definecolor{Black}{HTML}{000000}% D'oh!
+\definecolor{White}{HTML}{FFFFFF}% D'oh!
+\definecolor{Red}{HTML}{F44336}
+\definecolor{Pink}{HTML}{E91E63}
+\definecolor{Purple}{HTML}{9C27B0}
+\definecolor{DeepPurple}{HTML}{673AB7}
+\definecolor{Indigo}{HTML}{3F51B5}
+\definecolor{Blue}{HTML}{2196F3}
+\definecolor{LightBlue}{HTML}{03A9F4}
+\definecolor{Cyan}{HTML}{00BCD4}
+\definecolor{Teal}{HTML}{009688}
+\definecolor{Green}{HTML}{4CAF50}
+\definecolor{LightGreen}{HTML}{8BC34A}
+\definecolor{Lime}{HTML}{CDDC39}
+\definecolor{Yellow}{HTML}{FFEB3B}
+\definecolor{Amber}{HTML}{FFC107}
+\definecolor{Orange}{HTML}{FF9800}
+\definecolor{DeepOrange}{HTML}{FF5722}
+\definecolor{Brown}{HTML}{795548}
+\definecolor{Gray}{HTML}{9E9E9E}
+\definecolor{BlueGray}{HTML}{607D8B}
+
+\usepackage{tikz}
+\usepackage{pgfplots}
+\pgfplotsset{compat=1.14}
+
+\tikzset{
+  every picture/.style={font={\sffamily\normalsize}, >=stealth},
+  every pin edge/.style={black}}
+
+\begin{document}
+
+  \begin{tikzpicture}
+    \begin{axis}[ticks=none,
+      scatter/classes={
+        a={mark=triangle*, Blue, fill=Blue, fill opacity=0.6},
+        b={mark=*, Red, fill=Red, fill opacity=0.6},
+        ao={mark=triangle*, Blue, fill=Blue, fill opacity=0.6},
+        bo={mark=*, Red, fill=Red, fill opacity=0.6}
+      }]
+
+      \addplot[scatter, only marks, point meta=explicit symbolic]
+        table[meta=label] {kernel.dat};
+    \end{axis}
+  \end{tikzpicture}
+
+\end{document}

SVM-R3.tex

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+\RequirePackage{luatex85}
+\documentclass{standalone}
+
+\usepackage{amsmath}
+
+\usepackage{fontspec, unicode-math}
+\setsansfont[Scale=MatchLowercase]{TeX Gyre Heros}
+\setmathfont{TeX Gyre Termes Math}
+
+% https://material.io/design/color/the-color-system.html
+\usepackage[svgnames, table]{xcolor}
+\definecolor{Black}{HTML}{000000}% D'oh!
+\definecolor{White}{HTML}{FFFFFF}% D'oh!
+\definecolor{Red}{HTML}{F44336}
+\definecolor{Pink}{HTML}{E91E63}
+\definecolor{Purple}{HTML}{9C27B0}
+\definecolor{DeepPurple}{HTML}{673AB7}
+\definecolor{Indigo}{HTML}{3F51B5}
+\definecolor{Blue}{HTML}{2196F3}
+\definecolor{LightBlue}{HTML}{03A9F4}
+\definecolor{Cyan}{HTML}{00BCD4}
+\definecolor{Teal}{HTML}{009688}
+\definecolor{Green}{HTML}{4CAF50}
+\definecolor{LightGreen}{HTML}{8BC34A}
+\definecolor{Lime}{HTML}{CDDC39}
+\definecolor{Yellow}{HTML}{FFEB3B}
+\definecolor{Amber}{HTML}{FFC107}
+\definecolor{Orange}{HTML}{FF9800}
+\definecolor{DeepOrange}{HTML}{FF5722}
+\definecolor{Brown}{HTML}{795548}
+\definecolor{Gray}{HTML}{9E9E9E}
+\definecolor{BlueGray}{HTML}{607D8B}
+
+\usepackage{tikz}
+\usepackage{pgfplots}
+\pgfplotsset{compat=1.14}
+
+\tikzset{
+  every picture/.style={font={\sffamily\normalsize}, >=stealth},
+  every pin edge/.style={black}}
+
+\begin{document}
+
+  \begin{tikzpicture}
+    \begin{axis}[ticks=none, view = {15}{6},
+      scatter/classes={
+        a={mark=triangle*, Blue, fill=Blue, fill opacity=0.6},
+        b={mark=*, Red, fill=Red, fill opacity=0.6},
+        ao={mark=triangle*, Blue, opacity=0.5, fill=Blue, fill opacity=0.25},
+        bo={mark=*, Red, opacity=0.5, fill=Red, fill opacity=0.25}
+      }]
+
+      \addplot3[scatter, only marks, point meta=explicit symbolic]
+        table[meta=label, z expr=1 + (x^2)+(y^2)] {kernel.dat};
+
+      \addplot3[opacity=0.25, surf, color=BlueGray, domain=-1:1, samples=2]{1.5};
+    \end{axis}
+  \end{tikzpicture}
+
+\end{document}

binarization-allone.tex

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+\RequirePackage{luatex85}
+\documentclass{standalone}
+
+\usepackage{amsmath}
+
+\usepackage{fontspec, unicode-math}
+\setsansfont[Scale=MatchLowercase]{TeX Gyre Heros}
+\setmathfont{TeX Gyre Termes Math}
+
+\usepackage{tikz}
+\usepackage{pgfplots}
+\pgfplotsset{compat=1.14}
+
+\tikzset{
+  every picture/.style={font={\sffamily\normalsize}, >=stealth},
+  every pin edge/.style={black}}
+
+\begin{document}
+
+  \begin{tikzpicture}
+    \begin{axis}[class/.style={color=black, dashed}]
+
+      \addplot[class] coordinates {(1, 8.5) (3, 6.5) (7, 7) (8.5, 8.5)};
+
+      \addplot[
+        scatter,
+        only marks,
+        point meta=explicit symbolic,
+        scatter/classes={
+          a={mark=square*, draw=white, fill=black},
+          b={mark=o, black},
+          c={mark=triangle*, black},
+          d={mark=*, black},
+          e={mark=diamond*, black}
+        }] table[meta=label] {binarization.dat};
+
+    \end{axis}
+  \end{tikzpicture}
+
+\end{document}

binarization-multiclass.tex

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+\RequirePackage{luatex85}
+\documentclass{standalone}
+
+\usepackage{amsmath}
+
+\usepackage{fontspec, unicode-math}
+\setsansfont[Scale=MatchLowercase]{TeX Gyre Heros}
+\setmathfont{TeX Gyre Termes Math}
+
+\usepackage{tikz}
+\usepackage{pgfplots}
+\pgfplotsset{compat=1.14}
+
+\tikzset{
+  every picture/.style={font={\sffamily\normalsize}, >=stealth},
+  every pin edge/.style={black}}
+
+\begin{document}
+
+  \begin{tikzpicture}
+    \begin{axis}[class/.style={color=black, dashed}]
+
+      \addplot[class] coordinates {(3, 6.5) (4, 3.5) (6.5, 3.5) (7, 7) (3, 6.5)};
+      \addplot[class] coordinates {(3, 6.5) (1, 8.5)};
+      \addplot[class] coordinates {(4, 3.5) (3, 1)};
+      \addplot[class] coordinates {(6.5, 3.5) (9, 2.5)};
+      \addplot[class] coordinates {(7, 7) (8.5, 8.5)};
+
+      \addplot[
+        scatter,
+        only marks,
+        point meta=explicit symbolic,
+        scatter/classes={
+          a={mark=square*, draw=white, fill=black},
+          b={mark=o, black},
+          c={mark=triangle*, black},
+          d={mark=*, black},
+          e={mark=diamond*, black}
+        }] table[meta=label] {binarization.dat};
+
+    \end{axis}
+  \end{tikzpicture}
+
+\end{document}

binarization-oneone.tex

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+\RequirePackage{luatex85}
+\documentclass{standalone}
+
+\usepackage{amsmath}
+
+\usepackage{fontspec, unicode-math}
+\setsansfont[Scale=MatchLowercase]{TeX Gyre Heros}
+\setmathfont{TeX Gyre Termes Math}
+
+\usepackage{tikz}
+\usepackage{pgfplots}
+\pgfplotsset{compat=1.14}
+
+\tikzset{
+  every picture/.style={font={\sffamily\normalsize}, >=stealth},
+  every pin edge/.style={black}}
+
+\begin{document}
+
+  \begin{tikzpicture}
+    \begin{axis}[class/.style={color=black, dashed}]
+
+      \addplot[class] coordinates {(0.5, 4) (9.5, 6)};
+
+      \addplot[
+        scatter,
+        only marks,
+        point meta=explicit symbolic,
+        scatter/classes={
+          a={mark=square*, white, opacity=0},
+          b={mark=o, black},
+          c={mark=triangle*, white, opacity=0},
+          d={mark=*, black},
+          e={mark=diamond*, white, opacity=0}
+        }] table[meta=label] {binarization.dat};
+
+    \end{axis}
+  \end{tikzpicture}
+
+\end{document}

binarization.dat

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+x    y    label
+4    6    a
+4.5  4    a
+4.5  5    a
+5    6.25 a
+5    5.5  a
+5    4.5  a
+5.5  5.5  a
+6    6    a
+6    5    a
+6    4    a
+2.5  8    b
+3    9    b
+3.5  8.5  b
+3.5  7.5  b
+4.5  9    b
+4.5  8.25 b
+5    8    b
+5.25 7.5  b
+6    8    b
+6.5  9    b
+0.5  5    c
+1    6.5  c
+1.5  4.5  c
+1.5  5.5  c
+2    3    c
+2    6    c
+2.5  2.5  c
+2.5  4    c
+2.5  5    c
+3    3.5  c
+4    1.5  d
+4.5  2    d
+4.5  3    d
+5    2.5  d
+5.5  1.5  d
+5.75 1    d
+6    2.5  d
+6.5  1.75 d
+6.75 2.5  d
+8    2    d
+7.5  4    e
+7.5  6    e
+8    5    e
+8    6.5  e
+8.5  3.5  e
+8.5  4    e
+8.5  5    e
+8.5  7    e
+9    6    e
+9.5  4.5  e