Neural Networks | Statistical Methods in HEP Lesson 21

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Idea: Single-Layer Perceptron. Multilayer Perceptron.

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The variance equation for linear combinations of random variables applies to dot products and in some cases that can lead to error correction (averaging, variance reduction.) Basically the dot product is a ststistical summary measure. Also ReLU is a switch🤔 f(x)=x connect, f(x)=0 disconnect. A light switch in your house is binary on off yet it controls a continuously variable AC voltage signal😨 The dot product of a number of dot products is still a dot product. When all the switch states in a ReLU net become known the net collapses to a simple matrix. And then there is just a simple linear mapping from the input vector to the output vector😺 The cat says cool. There are metrics you can calculate and math you can do related to that.

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