where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\Lambda_{i}(\alpha) = \frac{- \left(\log\alpha-\log\alpha_{\text{tr}}(\bar\mu_{i})\right)^{2}}{2 \sigma_{\text{d}}^{2}}, $$ \end{document}Λi(α)=−logα−logαtr(μ¯i)22σd2, is, up to an additive constant, the logarithm of the density of prior (5). Again, a backtracking line search is used to perform the optimization.
