@ -462,7 +462,7 @@ statistically independent. With this assumption the following holds:
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\begin{equation} \label{eq:pdf-x}
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\begin{equation} \label{eq:pdf-x}
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p_X(x) = p_W(w) = p_W(w^{\|}, w^{\bot}) = p_{W^{\|}}(w^{\|}) p_{W^{\bot}}(w^{\bot})
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p_X(x) = p_W(w) = p_W(w^{\|}, w^{\bot}) = p_{W^{\|}}(w^{\|}) p_{W^{\bot}}(w^{\bot})
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\end{equation}
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\end{equation}
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The previously introduced noise comes into play again. In fprmula
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The previously introduced noise comes into play again. In formula
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(\ref{eq:train-set}) it is assumed that the noise \(\xi\)
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(\ref{eq:train-set}) it is assumed that the noise \(\xi\)
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predominantly deviates the point \(x\) away from the manifold
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predominantly deviates the point \(x\) away from the manifold
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\(\mathcal{M}\) in a direction orthogonal to \(\mathcal{T}\).
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\(\mathcal{M}\) in a direction orthogonal to \(\mathcal{T}\).
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Reference in New Issue
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