I classify a set of images using neural neural network. I am training a simple neural network with 4 inputs (image features), 1 output and 5 hidden layer with 10 nodes in it. My weight matrices are a set of numbers between -1 and 1, but I can not get a physical meaning about these weights.

Are the weights in accordance with the importance of the inputs (image features) in the model? Shouldn't I get higher weights for the inputs which are more correlated with the output? How can I get a physical meaning about the resulted weights? 

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