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Suppose we have the following convolutional neural network architecture:Input volume: 15x15x1 (i.e. width = 15, height = 15, and depth = 1)First convolutional layer: 5 filters, with receptive field 3x3x1Second convolutional layer: 5 filters, with receptive field 2x2x5Output layer: fully connected with 10 neurons.How many weights are there in each layer?

Question

Suppose we have the following convolutional neural network architecture:Input volume: 15x15x1 (i.e. width = 15, height = 15, and depth = 1)First convolutional layer: 5 filters, with receptive field 3x3x1Second convolutional layer: 5 filters, with receptive field 2x2x5Output layer: fully connected with 10 neurons.How many weights are there in each layer?

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Solution

Sure, let's break it down layer by layer:

  1. First Convolutional Layer: The receptive field is 3x3x1 and there are 5 filters. Each filter has a bias associated with it. So, the total number of weights in the first layer is (331 + 1)*5 = 50.

  2. Second Convolutional Layer: The receptive field is 2x2x5 (the depth is 5 because the previous layer had 5 filters) and there are 5 filters. Each filter has a bias associated with it. So, the total number of weights in the second layer is (225 + 1)*5 = 105.

  3. Output Layer: This is a fully connected layer with 10 neurons. The input to this layer is the output of the previous layer. The size of the output volume of the second convolutional layer is 10x10x5 (calculated based on the input volume size and the receptive field size). Each neuron in the fully connected layer is connected to all these units and has a bias associated with it. So, the total number of weights in the output layer is (10105 + 1)*10 = 5010.

So, the total number of weights in the network is 50 (first layer) + 105 (second layer) + 5010 (output layer) = 5165.

This problem has been solved

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