Suppose we have a convolutional neural network with a 5x5x1 input volume, followed by one convolutional layer with 5 filters that have a 2x2x1 receptive field, followed by one fully connected output layer with 5 neurons. How many weights does the network have in total?
Question
Suppose we have a convolutional neural network with a 5x5x1 input volume, followed by one convolutional layer with 5 filters that have a 2x2x1 receptive field, followed by one fully connected output layer with 5 neurons. How many weights does the network have in total?
Solution
To calculate the total number of weights in the network, we need to consider both the convolutional layer and the fully connected layer.
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Convolutional Layer: The size of the receptive field is 2x2x1 and we have 5 filters. So, the number of weights for each filter is 221 = 4. Since we have 5 filters, the total number of weights in the convolutional layer is 4*5 = 20.
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Fully Connected Layer: The output of the convolutional layer is a 4x4x5 volume (since we are using a 2x2 filter on a 5x5 input, the output size is (5-2+1)x(5-2+1)x5). Each of these outputs is connected to each of the 5 neurons in the fully connected layer. So, the total number of weights in the fully connected layer is 445*5 = 400.
Therefore, the total number of weights in the network is 20 (from the convolutional layer) + 400 (from the fully connected layer) = 420.
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