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| % A few local macros that are used by the example content. | |
| \newcommand{\expect}[2]{\mathds{E}_{{#1}} \left[ {#2} \right]} | |
| \newcommand{\myvec}[1]{\boldsymbol{#1}} | |
| \newcommand{\myvecsym}[1]{\boldsymbol{#1}} | |
| \newcommand{\vx}{\myvec{x}} | |
| \newcommand{\vy}{\myvec{y}} | |
| \newcommand{\vz}{\myvec{z}} | |
| \newcommand{\vtheta}{\myvecsym{\theta}} | |
| \section{Introduction} | |
| \kant[1] | |
| \kant[2] | |
| \kant[3] | |
| \section{Using Figures} | |
| % | |
| We can add figures in the usual way. Figure \ref{fig:image1}. | |
| \begin{figure}[t] | |
| \centering | |
| \includegraphics[width=\columnwidth]{kurt-cotoaga-1210012-unsplash} | |
| \caption{Image. This image comes from unsplash.com, which is a great website to get | |
| free to use high quality images.} | |
| \label{fig:image1} | |
| \end{figure} | |
| \section{Latex Environments} | |
| Using paragraph environment. | |
| \paragraph{Opening Paragraph.} Paragraph is a way to have a bolded heading, and that can also | |
| enter into the pdf bookmark structure. | |
| \section{Equations} | |
| % | |
| We can write equations this way: | |
| \begin{align} | |
| \log p(\vx) & = \log \int p_\theta(\vx,\vz) p(\vz) d\vz \nonumber \\ | |
| & = \log \expect{p(\vz)}{p_\theta(\vx,\vz)} | |
| \label{eq:marginalisation1} | |
| \end{align} | |
| We refer to the previous equation \eqref{eq:marginalisation1}. | |
| Later let's compute the gradient $\nabla_\theta \log p(\vx)$. The commands | |
| \verb|\vz|, \verb|\vx|, \verb|\expect| are locally-defined macros. | |
| The file \texttt{defns.tex} provides a larger set of short macros for | |
| common constructions, but some of them clash with existing packages. | |
| \begin{align} | |
| \log p(\vx) & = \nabla_{\vtheta} \sum_{i=1}^N \log p(y | x(\vtheta)) + \mathcal{R}(x) \nonumber \\ | |
| & + \|\nabla_{\vtheta}\vx(\vtheta)\|^2_2 \\ | |
| & y \in \mathbb{R}; \vx \in \mathbb{R}^D \qquad \text{using \texttt{\textbackslash mathbb}} \\ | |
| & y \in \mathds{R}; \vx \in \mathds{R}^D \qquad \text{using \texttt{\textbackslash mathds}} | |
| \label{eq:marginalisation2} | |
| \end{align} | |
| \subsection{Tables} | |
| Use \href{https://www.tablesgenerator.com/latex_tables}{\texttt{www.tablesgenerator.com/latex\_tables}} to help make tables. | |
| \begin{table}[tb] | |
| \centering | |
| \caption{Sizes of datasets. Testing with a much longer caption to see how it looks over | |
| multiple lines. } | |
| \begin{tabular}{lll} | |
| \hline | |
| Dataset & N & D \\ | |
| \hline \hline | |
| MNIST & 60,000 & $32\times32$ \\ | |
| ImageNet & 1m & $64\times64$\\ | |
| \hline | |
| \end{tabular} | |
| \end{table} | |
| \subsubsection{Using lists} | |
| % | |
| Itemize lists | |
| \begin{itemize} | |
| \item Item 1 | |
| \item Item 2 | |
| \item Item 3 | |
| \end{itemize} | |
| \noindent Enumerate lists | |
| \begin{enumerate} | |
| \item Item 1 | |
| \item Item 2 | |
| \item Item 3 | |
| \end{enumerate} | |
| \section{DeepMind Brand Colours} | |
| The brand standard specifies a colour palette that is available using the package \texttt{dm-colors}, which is already included in this template. Colours include: \textcolor{dmblue400}{This} \textcolor{dmyellow500}{text} \textcolor{dmteal400}{is} \textcolor{dmpurple400}{rendered} \textcolor{dmred400}{using} \textcolor{dmorange400}{dmcolors}. | |
| \section{Including References and Bibliography} | |
| \begin{figure*}[t] | |
| \centering | |
| \includegraphics[width=\columnwidth]{kurt-cotoaga-1210012-unsplash} | |
| \includegraphics[width=\columnwidth]{kurt-cotoaga-1210012-unsplash} | |
| \caption{Image. This image comes from unsplash.com, which is a great website to get | |
| free to use high quality images.} | |
| \label{fig:image2} | |
| \end{figure*} | |
| References can be formatted in two styles with the \texttt{citep} | |
| command \citep{silver2016mastering} and with the \texttt{citet} | |
| command \citet{silver2016mastering}. | |