constraint directly. It maps an
increasing vector <span class="math inline">\(x \in \mathbb{R}^{K}\)</span> to an unconstrained vector <span class="math inline">\(y \in \mathbb{R}^K\)</span> by setting</p>
<p><span class="math display">\[
y_k
=
\left\{
\begin{array}{ll}
x_1 &amp; \mbox{if } k = 1, \mbox{ and}
\\
\log \left( x_{k} - x_{k-1} \right) &amp; \mbox{if } 1 &lt; k \leq K.
\end{array}
\right.
\]</span></p>
</div>
<div id="ordered-inverse-transform" class="section level3 unnumbered">
<h3>Ordered inve