Update 17_1_Latent_Variable_Models.ipynb

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udlbook
2024-07-22 15:03:17 -04:00
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@@ -55,7 +55,7 @@
"Pr(z) = \\text{Norm}_{z}[0,1]\n",
"\\end{equation}\n",
"\n",
"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",
"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",
"\n",
"\\begin{align}\n",
"x_{1} &=& 0.5\\cdot\\exp\\Bigl[\\sin\\bigl[2+ 3.675 z \\bigr]\\Bigr]\\\\\n",