Github user njayaram2 commented on a diff in the pull request: https://github.com/apache/incubator-madlib/pull/162#discussion_r132340750 --- Diff: doc/design/modules/neural-network.tex --- @@ -197,3 +207,44 @@ \subsubsection{The $\mathit{Gradient}$ Function} \State \Return $\delta$ \end{algorithmic} \end{algorithm} + +\begin{algorithm}[mlp-train-iteration$(X, Y, \eta)$] \label{alg:mlp-train-iteration} +\alginput{ +start vectors $X_{i...m} \in \mathbb{R}^{n_0}$,\\ +end vectors $Y_{i...m} \in \mathbb{R}^{n_N}$,\\ +learning rate $\eta$,\\} +\algoutput{Coefficients $u = \{ u_{k-1}^{sj} \; | \; k = 1,...,N, \: s = 0,...,n_{k-1}, \: j = 1,...,n_k\}$} +\begin{algorithmic}[1] + \State \texttt{Randomnly initialize u} + \For{$i = 1,...,m$} + \State $\nabla f(u) \set \texttt{mlp-gradient}(u,X_i,Y_i)$ + \State $u \set u - (\eta \nabla f(u) u + \lambda u)$ + \EndFor + \State \Return $u$ +\end{algorithmic} +\end{algorithm} + +\begin{algorithm}[mlp-train-parallel$(X, Y, \eta, s, t)$] \label{alg:mlp-train-parallel} +\alginput{ +start vectors $X_{i...m} \in \mathbb{R}^{n_0}$,\\ +end vectors $Y_{i...m} \in \mathbb{R}^{n_N}$,\\ +learning rate $\eta$,\\ +segments $s$,\\ +iterations $t$,\\} +\algoutput{Coefficients $u = \{ u_{k-1}^{sj} \; | \; k = 1,...,N, \: s = 0,...,n_{k-1}, \: j = 1,...,n_k\}$} +\begin{algorithmic}[1] + \State \texttt{Randomnly initialize u} + \For{$j = 1,...,s$} + \State $X_j \set \texttt{subset-of-X}$ + \State $Y_j \set \texttt{subset-of-Y}$ + \EndFor + \For{$i = 1,...,t$} + \For{$j = 1,...,s$} + \State $u_j \set copy(u)$ + \State $u_j \set \texttt{mlp-train-iteration}(X_j, Y_j, \eta)$ + \EndFor + \State $u \set \texttt{weighted-avg}(u_{1...s})$ + \EndFor + \State \Return $u$ --- End diff -- Just the `return u` shows up in a new page in the pdf, see if you can avoid that.
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