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"source": [
"#### Taking the Log\n",
"\n",
"Recall that cross entropy loss may involve the multiplication of many numbers. Multiplying lots of negative numbers together can cause problems like [numerical underflow](https://en.wikipedia.org/wiki/Arithmetic_underflow) in computers. Therefore, we want to transform these probabilities to larger values so we can perform mathematical operations on them. There is a mathematical function that does exactly this: the *logarithm* (available as `torch.log`). It is not defined for numbers less than 0, and looks like this between 0 and 1:"
"Recall that cross entropy loss may involve the multiplication of many numbers. Multiplying lots of small numbers together can cause problems like [numerical underflow](https://en.wikipedia.org/wiki/Arithmetic_underflow) in computers. Therefore, we want to transform these probabilities to larger values so we can perform mathematical operations on them. There is a mathematical function that does exactly this: the *logarithm* (available as `torch.log`). It is not defined for numbers less or equal than 0, and looks like this between 0 and 1:"
]
},
{