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Why must a product of symmetric random variables be symmetric?
I was reading about weight initialization in neural networks (He et. al, 2015) when I came across this statement:
"If we let $w_{l-1}$ have a symmetric distribution around zero and $b_{l} = 0$, ...
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Splitting Probability Distributions Into Many Factors : The Deep Learning Book
In chapter 3, section 3.14: Structured Probabilistic Models in The Deep Learning Book the authors write this, with the following equation.
Machine learning algorithms often involve probability ...
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