Suppose we have a convolutional neural network. The first layer is a convolutional layer, and it has an output volume with dimensions 8x8x8. Suppose the second layer is a fully connected layer with 5 neurons. How many weights does the second layer have?
Question
Suppose we have a convolutional neural network. The first layer is a convolutional layer, and it has an output volume with dimensions 8x8x8. Suppose the second layer is a fully connected layer with 5 neurons. How many weights does the second layer have?
Solution
The number of weights in the second layer can be calculated by considering the connections between the neurons in the two layers.
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First, we need to find out the total number of neurons in the output volume of the first layer. The dimensions of the output volume are 8x8x8, so there are 888 = 512 neurons.
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Each neuron in the second layer is connected to every neuron in the first layer. Since there are 5 neurons in the second layer, the total number of connections (and thus the total number of weights) is 512 * 5 = 2560.
So, the second layer has 2560 weights.
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