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How Xavier Initialization intuitionformula works

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In the research paper on Xavier initialization what is the purpose of putting $n_{in}$ and $n_{out}$ under 2 and added them it just says as a compromise but it is not exactly a harmonic mean or an average it seems random ? enter image description here

In the research paper on Xavier initialization what is the purpose of putting $n_{in}$ and $n_{out}$ under 2 it just says as a compromise but it is not exactly a harmonic mean or an average it seems random ? enter image description here

In the research paper on Xavier initialization what is the purpose of putting $n_{in}$ and $n_{out}$ under 2 and added them it just says as a compromise but it is not exactly a harmonic mean or an average it seems random ? enter image description here

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Stef
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Xavier Initialization intuition

In the research paper on Xavier initialization what is the purpose of putting $n_{in}$ and $n_{out}$ under 2 it just says as a compromise but it is not exactly a harmonic mean or an average it seems random ? enter image description here