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resolving issue #44
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manuscript.tex

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@@ -164,19 +164,19 @@ \subsection{The classical algorithm}
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Initially the weight components are chosen randomly
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and topological distances between neurons given.
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We then can train our SOFM adjusting the components through the learning process which occur in the two basic procedures of
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selecting a winning cluster vector, also called the best matching unit (BMU), and updating its weights (Fig.~\ref{fig:sofm_fitting}).
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selecting a winning cluster vector, also called the best matching unit, and updating its weights (Fig.~\ref{fig:sofm_fitting}).
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More specifically, they consist of four step process:
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\begin{enumerate*}
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\item selecting an input vector randomly from the set of all input vectors;
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\item finding a cluster vector which is closest to the input vector (BMU);
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\item adjusting the weights of the BMU and neurons close to it on feature map in such a way
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\item finding a cluster vector which is closest to the input vector;
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\item adjusting the weights of the best matching unit and neurons close to it on feature map in such a way
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that these vectors becomes even closer to the input vector;
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\item repeating this process for many iterations until it converges.
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\end{enumerate*}
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On a step $t$ when the BMU $\vec{w}_{c}$ for a input $\vec{x}(t)$ is selected,
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the weights $\vec{w}_{i}$ of the BMU and its neigbours on feature map are adjusted according to
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On a step $t$ when the best matching unit $\vec{w}_{c}$ for a input $\vec{x}(t)$ is selected,
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the weights $\vec{w}_{i}$ of the best matching unit and its neigbours on feature map are adjusted according to
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\begin{equation}
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\label{eq:learning}

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