Fix duplicate word occurrences in notebooks
This commit is contained in:
@@ -128,7 +128,7 @@
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"\n",
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"In part (b) of the practical we calculate the volume of a hypersphere of radius 0.5 (i.e., of diameter 1) as a function of the radius. You will find that the volume decreases to almost nothing in high dimensions. All of the volume is in the corners of the unit hypercube (which always has volume 1). Double weird.\n",
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"\n",
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"Note that you you can check your answer by doing the calculation for 2D using the standard formula for the area of a circle and making sure it matches."
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"Note that you can check your answer by doing the calculation for 2D using the standard formula for the area of a circle and making sure it matches."
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],
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"metadata": {
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"id": "b2FYKV1SL4Z7"
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@@ -199,7 +199,7 @@
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{
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"cell_type": "markdown",
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"source": [
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"The left is model output and the right is the model output after the sigmoid has been applied, so it now lies in the range [0,1] and represents the probability, that y=1. The black dots show the training data. We'll compute the the likelihood and the negative log likelihood."
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"The left is model output and the right is the model output after the sigmoid has been applied, so it now lies in the range [0,1] and represents the probability, that y=1. The black dots show the training data. We'll compute the likelihood and the negative log likelihood."
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],
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"metadata": {
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"id": "MvVX6tl9AEXF"
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@@ -218,7 +218,7 @@
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{
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"cell_type": "markdown",
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"source": [
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"The left is model output and the right is the model output after the softmax has been applied, so it now lies in the range [0,1] and represents the probability, that y=0 (red), 1 (green) and 2 (blue) The dots at the bottom show the training data with the same color scheme. So we want the red curve to be high where there are red dots, the green curve to be high where there are green dotsmand the blue curve to be high where there are blue dots We'll compute the the likelihood and the negative log likelihood."
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"The left is model output and the right is the model output after the softmax has been applied, so it now lies in the range [0,1] and represents the probability, that y=0 (red), 1 (green) and 2 (blue) The dots at the bottom show the training data with the same color scheme. So we want the red curve to be high where there are red dots, the green curve to be high where there are green dotsmand the blue curve to be high where there are blue dots We'll compute the likelihood and the negative log likelihood."
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],
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"metadata": {
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"id": "MvVX6tl9AEXF"
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