\documentclass{standalone}

\usepackage{neuralnetwork}

\begin{document}
       \begin{neuralnetwork}[height=2.5, layertitleheight=0, nodespacing=2.8cm, layerspacing=1.7cm]
               \newcommand{\nodetextclear}[2]{}
               \newcommand{\nodetextxnb}[2]{\ifnum0=#2 \else $x_#2$ \fi}
               \newcommand{\logiclabel}[1]{\,{$\scriptstyle#1$}\,}
               \newcommand{\nodetextY}[2]{$y$}
               \newcommand{\linklabelsU}[4]{\logiclabel{+1}}
               \newcommand{\linklabelsA}[4]{\ifnum0=#2 \logiclabel{+3} \else \logiclabel{-2} \fi}
               \setdefaultnodetext{\nodetextclear}
               % Input layer
               \inputlayer[count=2, bias=false, text=\nodetextxnb]
               % links to first hidden layer from input layer
               \hiddenlayer[count=3, bias=false, exclude={1, 3}]
                       \link[from layer=0, to layer=1, from node=1, to node=2, label=\linklabelsA]
                       \link[from layer=0, to layer=1, from node=2, to node=2, label=\linklabelsA]
               \hiddenlayer[count=2, bias=true, biaspos=center]
               % links to second hidden layer from input and first hidden layer
                       \link[from layer=0, to layer=2, from node=1, to node=1, label=\linklabelsA]
                       \link[from layer=1, to layer=2, from node=2, to node=1, label=\linklabelsA]
                       \link[from layer=1, to layer=2, from node=2, to node=2, label=\linklabelsA]
                       \link[from layer=0, to layer=2, from node=2, to node=2, label=\linklabelsA]
               \outputlayer[count=1, text=\nodetextY]
               % links to output layer from second hidden layer
                       \link[from layer=2, to layer=3, from node=1, to node=1, label=\linklabelsA]
                       \link[from layer=2, to layer=3, from node=2, to node=1, label=\linklabelsA]
               % links from bias node
                       \link[from layer=2, to layer=1, from node=0, to node=2, label=\linklabelsA]
                       \link[from layer=2, to layer=2, from node=0, to node=1, label=\linklabelsA]
                       \link[from layer=2, to layer=2, from node=0, to node=2, label=\linklabelsA]
                       \link[from layer=2, to layer=3, from node=0, to node=1, label=\linklabelsA]
       \end{neuralnetwork}
\end{document}