How to draw ReLU function

Question

I want to draw functions (like ReLU) that have different function values for different domains.

ReLU is defined as;

f(x)=0 for x<0 f(x)=x for x>=0

Thanks in advance.

This can help: http://tex.stackexchange.com/questions/19510/defining-a-piecewise-function-for-pgfplots — Ignasi, Oct 18 '16 at 08:45

score 6 · Answer 1 · edited Apr 13 '17 at 12:34

6

I've adapted hugovdberg's answer to: How can I produce such a graph of my piecewise function?

\documentclass{article}
\usepackage{pgfplots}
\begin{document}
\begin{tikzpicture}
    \begin{axis}[
        domain=-3:5,
        ]
        \addplot+[mark=none,red,domain=-3:0] {0};
        \addplot+[mark=none,red,domain=0:5] {x};
    \end{axis}
\end{tikzpicture}
\end{document}

edited Apr 13 '17 at 12:34

Community

1

answered Oct 18 '16 at 08:50

Ignasi

136,588

Thanks, another question on your answer. How can I make the values of function shown from zero? – guest345 Oct 18 '16 at 08:59
@guest345 What does it mean? – Ignasi Oct 18 '16 at 10:06

score 4 · Answer 2 · answered Oct 18 '16 at 16:26

4

Here is another option, taking advantage of the definition of > and < as boolean operators in pgfplots. It has the advantage to define one single function (hence no legend issues, style is easier to define, etc.).

\documentclass{article}
\usepackage{pgfplots}
\begin{document}
    \begin{tikzpicture}
    \begin{axis}[
    domain=-3:5,
    ]
    \addplot {(x>=0)*x};
    \end{axis}
    \end{tikzpicture}
\end{document}

answered Oct 18 '16 at 16:26

user114516

463

Very nice indeed! – egreg Oct 18 '16 at 16:59

score 1 · Answer 3 · edited Apr 13 '17 at 12:34

As JM114516 already stated in his answer, the solution from Ignasi is sub-optimal, because drawing two lines for one line has several disadvantages.

Here I present a solution that is a bit more general, i.e. it isn't restricted that one side of the piecewise function is zero, by using the ifthenelse operator. And to show the "generality" of this solution I have used x^2 for the then part instead of just 0 which gives the solution guest345 was asking for.

\documentclass[border=5pt]{standalone}
\usepackage{pgfplots}
\begin{document}
    \begin{tikzpicture}
        \begin{axis}[
            domain=-3:5,
        ]
            \addplot {
                ifthenelse(
                    x<0,        % if
                    x^2,        % then
                    x           % else
                )
            };
        \end{axis}
    \end{tikzpicture}
\end{document}

How to draw ReLU function

3 Answers3

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