e>bilog</code>) proposed by <span class="citation">M.-O. Boldi
(2009)</span>, places mass on the interior of the simplex. Let <span class="math inline">\(\boldsymbol{W} \in \mathbb{S}_d\)</span> be the
solution of <span class="math display">\[\begin{align*}
\frac{W_j}{W_d}=\frac{C_jU_j^{-\alpha_j}}{C_dU_d^{-\alpha_d}}, \quad
j=1, \ldots, d
\end{align*}\]</span> where <span class="math inline">\(C_j=\Gamma(d-\alpha_j)/\Gamma(1-\alpha_j)\)</span>
for <span class="math inline">\(j=1, \ldots, d\)</span> and <sp