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dustinvtran committed Sep 27, 2017
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10 changes: 5 additions & 5 deletions docs/tex/tutorials/automated-transformations.tex
Expand Up @@ -184,11 +184,11 @@ \subsubsection{Automated Transformations in Inference}

\subsubsection{Acknowledgements \& Remarks}

Automated transformations have largely been popularized by Stan,
particularly for Hamiltonian Monte Carlo \citep{carpenter2016stan}.
This design is inspired by Stan's. However, a key distinction is Edward
provides users flexibility to wield transformations and manipulate
results in either the original (constrained) or inferred
Automated transformations have largely been popularized by Stan
for Hamiltonian Monte Carlo \citep{carpenter2016stan}.
This design is inspired by Stan's. However, a key distinction is that Edward
provides users the ability to wield transformations and more flexibly
manipulate results in both the original (constrained) and inferred
(unconstrained) space.

Automated transformations are also core to the algorithm automatic
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12 changes: 6 additions & 6 deletions notebooks/automated_transformations.ipynb
Expand Up @@ -320,11 +320,11 @@
"source": [
"## Acknowledgements & Remarks\n",
"\n",
"Automated transformations have largely been popularized by Stan,\n",
"particularly for Hamiltonian Monte Carlo (Carpenter et al., 2016).\n",
"This design is inspired by Stan's. However, a key distinction is Edward\n",
"provides users flexibility to wield transformations and manipulate\n",
"results in either the original (constrained) or inferred\n",
"Automated transformations have largely been popularized by Stan\n",
"for Hamiltonian Monte Carlo (Carpenter et al., 2016).\n",
"This design is inspired by Stan's. However, a key distinction is that Edward\n",
"provides users the ability to wield transformations and more flexibly\n",
"manipulate results in both the original (constrained) and inferred\n",
"(unconstrained) space.\n",
"\n",
"Automated transformations are also core to the algorithm automatic\n",
Expand All @@ -333,7 +333,7 @@
"distributions. However, note the automated transformation from\n",
"non-negative to reals in Edward is not $\\log$, which is used in Stan;\n",
"rather, Edward uses $\\textrm{softplus}$ which is more numerically\n",
"stable (see also Kucukelbir et al. (2017, Fig. 9).\n",
"stable (see also Kucukelbir et al. (2017, Fig. 9)).\n",
"\n",
"Finally, note that not all inference algorithms use or even need\n",
"automated transformations.\n",
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