[Tex/LaTex] drawing roc curve analysis

plottikz-pgf

I tried to draw the roc curve with latex but i didn't find any solution. Can any one help please. My code doesn't work and i didn't find a curve like this figure. Could you help me please. Thank you in advance

Best Answer

You can start with something like this, and improve upon it until you get the complete output you want. The PGFPlots manual has much more to learn from.

\documentclass{article}
\usepackage{pgfplots}
\pgfplotsset{compat=1.16}

\begin{filecontents}{mydata.dat}
x      f(x)
0.0    0.0
0.0    0.1
0.0    0.2
0.1    0.2
0.1    0.3
0.1    0.4
0.1    0.5
0.2    0.5
0.3    0.5
0.3    0.6
0.4    0.6
0.4    0.7 
0.5    0.7
0.5    0.8
0.6    0.8
0.7    0.8
0.8    0.8
0.8    0.9
0.9    0.9
0.9    1.0
1.0    1.0
\end{filecontents}

\begin{document}

\begin{tikzpicture}
\begin{axis}[
  title={My ROC},
  xlabel={some $x$},
  ylabel={Advance},
]
\addplot [blue,mark=diamond*] table {mydata.dat};
\end{axis}
\end{tikzpicture}
\end{document}

Related Solutions

[Tex/LaTex] TikZ: Drawing a curve using controls

If you draw the bounding box for your tikzpicture (after adding \centering and a test caption):

\documentclass{article}
\usepackage{tikz}
\usepackage{fp}
\usepackage{float}
\usetikzlibrary{calc, arrows}
\begin{document}
\begin{figure*}
\centering
\begin{tikzpicture}%[fixed point arithmetic]
\pgfmathsetmacro{\d}{1.87529 * 4}
\pgfmathsetmacro{\Ly}{sqrt(3) * 2}
\pgfmathsetmacro{\Lx}{\d / 2}
\pgfmathsetmacro{\per}{1707 / 6378 * 4}

\coordinate (E) at (0, 0);
\coordinate (M) at (\d, 0);
\coordinate (L4) at (\Lx, \Ly);

\draw (E) -- (M);
\draw (E) -- (L4);
\draw (M) -- (L4) node[font = \scriptsize, above] {\(L_4\)};;
\draw[-latex] (E) -- (-45:2cm) node[below = .1cm, font = \scriptsize]
{\(v_r\)} coordinate (P1);
\filldraw[blue, opacity = .7] (E) circle (1cm);
\filldraw[gray, opacity = .7] (M) circle (.3cm);
\filldraw[green] (.7 * \per, 0) circle (.075cm);
\node[font = \scriptsize] at (\Lx + 2, \Ly)
{\((187529, 332900.1652, 0)\)};
\draw[dashed, thick] (E) circle (1.2cm);
\draw[dashed, thick, red] ([shift = (E)] -45:1.2cm) .. controls (3, 1)
and (-4, 5) .. (L4);

\draw let
  \p0 = (E),
  \p1 = (P1),
  \p2 = (M),
  \n1 = {atan2(\x1 - \x0, \y1 - \y0)},
  \n2 = {atan2(\x2 - \x0, \y2 - \y0)},
  \n3 = {2cm},
  \n4 = {(\n1 + \n2) / 2}
in (E) + (\n1:\n3) arc[radius = \n3, start angle = \n1, end angle = \n2]
node[fill = white, inner sep = 0cm, font = \scriptsize] at ([shift = (E)]
\n4:\n3) {\(\nu = -\frac{\pi}{4}\)};
\draw 
  (current bounding box.north west) 
  rectangle 
  (current bounding box.south east) ;
\end{tikzpicture}
\caption{A test caption}
\end{figure*}
\end{document}

you get:

enter image description here

which shows that the bounding box is centered, but something is contributing to it, besides what actually appears in the drawing. Where does this contribution come from? The answer is: from one of your control points (simply place two visible elements at the coordinates used as control points and you'll see this clearly).

You could interrupt the bounding box:

\documentclass{article}
\usepackage{tikz}
\usepackage{fp}
\usepackage{float}
\usetikzlibrary{calc, arrows}
\begin{document}
\begin{figure*}
\centering
\begin{tikzpicture}%[fixed point arithmetic]
\pgfmathsetmacro{\d}{1.87529 * 4}
\pgfmathsetmacro{\Ly}{sqrt(3) * 2}
\pgfmathsetmacro{\Lx}{\d / 2}
\pgfmathsetmacro{\per}{1707 / 6378 * 4}

\coordinate (E) at (0, 0);
\coordinate (M) at (\d, 0);
\coordinate (L4) at (\Lx, \Ly);

\draw (E) -- (M);
\draw (E) -- (L4);
\draw (M) -- (L4) node[font = \scriptsize, above] {\(L_4\)};;
\draw[-latex] (E) -- (-45:2cm) node[below = .1cm, font = \scriptsize]
{\(v_r\)} coordinate (P1);
\filldraw[blue, opacity = .7] (E) circle (1cm);
\filldraw[gray, opacity = .7] (M) circle (.3cm);
\filldraw[green] (.7 * \per, 0) circle (.075cm);
\node[font = \scriptsize] at (\Lx + 2, \Ly)
{\((187529, 332900.1652, 0)\)};
\draw[dashed, thick] (E) circle (1.2cm);
\begin{pgfinterruptboundingbox}
\draw[dashed, thick, red] ([shift = (E)] -45:1.2cm) .. controls (3, 1)
and (-4, 5) .. (L4);
\end{pgfinterruptboundingbox}

\draw let
  \p0 = (E),
  \p1 = (P1),
  \p2 = (M),
  \n1 = {atan2(\x1 - \x0, \y1 - \y0)},
  \n2 = {atan2(\x2 - \x0, \y2 - \y0)},
  \n3 = {2cm},
  \n4 = {(\n1 + \n2) / 2}
in (E) + (\n1:\n3) arc[radius = \n3, start angle = \n1, end angle = \n2]
node[fill = white, inner sep = 0cm, font = \scriptsize] at ([shift = (E)]
\n4:\n3) {\(\nu = -\frac{\pi}{4}\)};
\draw 
  (current bounding box.north west) 
  rectangle 
  (current bounding box.south east) ;
\end{tikzpicture}
\caption{A test caption}
\end{figure*}
\end{document}

enter image description here

or choose different control points inside the bounding box; for example:

\documentclass{article}
\usepackage{tikz}
\usepackage{fp}
\usepackage{float}
\usetikzlibrary{calc, arrows}
\begin{document}
\begin{figure*}
\centering
\begin{tikzpicture}%[fixed point arithmetic]
\pgfmathsetmacro{\d}{1.87529 * 4}
\pgfmathsetmacro{\Ly}{sqrt(3) * 2}
\pgfmathsetmacro{\Lx}{\d / 2}
\pgfmathsetmacro{\per}{1707 / 6378 * 4}

\coordinate (E) at (0, 0);
\coordinate (M) at (\d, 0);
\coordinate (L4) at (\Lx, \Ly);

\draw (E) -- (M);
\draw (E) -- (L4);
\draw (M) -- (L4) node[font = \scriptsize, above] {\(L_4\)};;
\draw[-latex] (E) -- (-45:2cm) node[below = .1cm, font = \scriptsize]
{\(v_r\)} coordinate (P1);
\filldraw[blue, opacity = .7] (E) circle (1cm);
\filldraw[gray, opacity = .7] (M) circle (.3cm);
\filldraw[green] (.7 * \per, 0) circle (.075cm);
\node[font = \scriptsize] at (\Lx + 2, \Ly)
{\((187529, 332900.1652, 0)\)};
\draw[dashed, thick] (E) circle (1.2cm);
\draw[dashed, thick, red] ([shift = (E)] -45:1.2cm) .. controls (3, 1)
and (-1, 5) .. (L4);

\draw let
  \p0 = (E),
  \p1 = (P1),
  \p2 = (M),
  \n1 = {atan2(\x1 - \x0, \y1 - \y0)},
  \n2 = {atan2(\x2 - \x0, \y2 - \y0)},
  \n3 = {2cm},
  \n4 = {(\n1 + \n2) / 2}
in (E) + (\n1:\n3) arc[radius = \n3, start angle = \n1, end angle = \n2]
node[fill = white, inner sep = 0cm, font = \scriptsize] at ([shift = (E)]
\n4:\n3) {\(\nu = -\frac{\pi}{4}\)};

\draw 
  (current bounding box.north west) 
  rectangle 
  (current bounding box.south east) ;
\end{tikzpicture}
\caption{A test caption}
\end{figure*}
\end{document}

enter image description here

Here's another possibility with a modification for the curved path:

\documentclass{article}
\usepackage{tikz}
\usepackage{fp}
\usepackage{float}
\usetikzlibrary{calc, arrows}
\begin{document}
\begin{figure*}
\centering
\begin{tikzpicture}%[fixed point arithmetic]
\pgfmathsetmacro{\d}{1.87529 * 4}
\pgfmathsetmacro{\Ly}{sqrt(3) * 2}
\pgfmathsetmacro{\Lx}{\d / 2}
\pgfmathsetmacro{\per}{1707 / 6378 * 4}

\coordinate (E) at (0, 0);
\coordinate (M) at (\d, 0);
\coordinate (L4) at (\Lx, \Ly);

\draw (E) -- (M);
\draw (E) -- (L4);
\draw (M) -- (L4) node[font = \scriptsize, above] {\(L_4\)};;
\draw[-latex] (E) -- (-45:2cm) node[below = .1cm, font = \scriptsize]
{\(v_r\)} coordinate (P1);
\filldraw[blue, opacity = .7] (E) circle (1cm);
\filldraw[gray, opacity = .7] (M) circle (.3cm);
\filldraw[green] (.7 * \per, 0) circle (.075cm);
\node[font = \scriptsize] at (\Lx + 2, \Ly)
{\((187529, 332900.1652, 0)\)};
\draw[dashed, thick] (E) circle (1.2cm);

\begin{pgfinterruptboundingbox}
\draw[dashed, thick, red] 
  ([shift = (E)] -45:1.2cm) to[out=60,in=-60] (1.3,1.4) 
  .. controls (0.3,2.5) and (1.2,4.8) ..  
  (L4);
\end{pgfinterruptboundingbox}

\draw let
  \p0 = (E),
  \p1 = (P1),
  \p2 = (M),
  \n1 = {atan2(\x1 - \x0, \y1 - \y0)},
  \n2 = {atan2(\x2 - \x0, \y2 - \y0)},
  \n3 = {2cm},
  \n4 = {(\n1 + \n2) / 2}
in (E) + (\n1:\n3) arc[radius = \n3, start angle = \n1, end angle = \n2]
node[fill = white, inner sep = 0cm, font = \scriptsize] at ([shift = (E)]
\n4:\n3) {\(\nu = -\frac{\pi}{4}\)};

%\draw 
%  (current bounding box.north west) 
%  rectangle 
%  (current bounding box.south east) ;
\end{tikzpicture}
\caption{A test caption}
\end{figure*}
\end{document}

enter image description here

[Tex/LaTex] Drawing a homotopy between two paths

\documentclass[border=2mm]{standalone}
\usepackage{tikz}
\usetikzlibrary{decorations.markings,calc}
\begin{document}
\begin{tikzpicture}
  [decoration={markings,mark=at position 0.5 with {\arrow{>}}},
   witharrow/.style={postaction={decorate}},
   dot/.style={draw,fill,circle,inner sep=1.5pt,minimum width=0pt}
  ]

  % rectangle
  \begin{scope}
     \draw[thick]
       (0,0) coordinate (a1) -- node[left]     {$p$} (0,2) coordinate (d1)
       (2,0) coordinate (b1) -- node[right](q1){$q$} (2,2) coordinate (c1);
     \draw[xstep=2,ystep=1/3] (a1) grid (c1);
     \draw[thick,witharrow] (d1) -- node[above]    {$f_1$}(c1);
     \draw[thick,witharrow] (a1) -- node[below](f1){$f_0$}(b1);
  \end{scope}

  % triangle
  \begin{scope}[shift={(0,-4)}]
    \node[dot,label={[below left]$p$}] (a2) at (0,0) {};
    \node[dot] (b2) at (2,0) {};
    \node[dot] (c2) at (0,2) {};
    \draw[thick,witharrow] (a2) -- node[left] {$f_1$} (c2);
    \draw[thick,witharrow] (a2) -- node[below]{$f_0$} (b2);
    \draw[thick] (c2) -- node[above](q2){$q$} (b2);
    \clip (a2.center) -- (b2.center) -- (c2.center) -- cycle;
    \foreach \a in {15,30,...,75} \draw (a2) -- (\a:2);
  \end{scope}

  % ellipse
  \begin{scope}[shift={(5,0)}]
    \node[dot,label={[left] $p$}] (a3) at (0,0) {};
    \node[dot,label={[right]$q$}] (b3) at (4,0) {};
    \draw[thick,witharrow] (a3) to[out=50,in=150]node[above]{$f_1$} (b3);
    \foreach \o/\i in {40/160,30/170,20/180,10/190,-10/200}
       \draw (a3) to[out=\o,in=\i]  (b3);
    \draw[thick,witharrow] (a3) to[out=-20,in=-130]node[below]{$f_0$} (b3);
    \draw ($0.5*(a3)+0.5*(b3)$) circle[x radius=2.5,y radius=1.5];
    \node at ($(a3)+(0.5,0.8)$) (X3) {$X$};
  \end{scope}

  % connecting arrows
  \draw[-stealth,shorten >=2mm] (f1) -- node[right]{$b$} (q2);
  \draw[-stealth,dashed,shorten >=6mm] (q2) -- node[above]{$\sigma$} (a3);
  \draw[-stealth,shorten >=4mm] (q1) -- node[above]{$H$} (X3);
\end{tikzpicture}
\end{document}

Best Answer

Related Solutions

[Tex/LaTex] TikZ: Drawing a curve using controls

[Tex/LaTex] Drawing a homotopy between two paths

Related Question