Update 17_1_Latent_Variable_Models.ipynb
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@@ -55,7 +55,7 @@
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"Pr(z) = \\text{Norm}_{z}[0,1]\n",
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"Pr(z) = \\text{Norm}_{z}[0,1]\n",
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"\\end{equation}\n",
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"\\end{equation}\n",
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"\n",
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"\n",
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"As in figure 17.2, we'll assume that the output is two dimensional, we we need to define a function that maps from the 1D latent variable to two dimensions. Usually, we would use a neural network, but in this case, we'll just define an arbitrary relationship.\n",
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"As in figure 17.2, we'll assume that the output is two dimensional, we need to define a function that maps from the 1D latent variable to two dimensions. Usually, we would use a neural network, but in this case, we'll just define an arbitrary relationship.\n",
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"\n",
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"\n",
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"\\begin{align}\n",
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"\\begin{align}\n",
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"x_{1} &=& 0.5\\cdot\\exp\\Bigl[\\sin\\bigl[2+ 3.675 z \\bigr]\\Bigr]\\\\\n",
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"x_{1} &=& 0.5\\cdot\\exp\\Bigl[\\sin\\bigl[2+ 3.675 z \\bigr]\\Bigr]\\\\\n",
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