For Example for 3-1-1 layer if the weights are initialized equally the MLP might not learn well. But why does this happen?
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If you only have one neuron in the hidden layer, it doesn’t matter. But, imagine a network with two neurons in the hidden layer. If they have the same weights for their input, than both neurons would always have the exact same activation, there is no additional information by having a second neuron. And in the backpropagation step, those weights would change by an equal amount. Hence, in every iteration, those hidden neurons have the same activation.