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How many weights does a neural network have if it consists of an input layer with 2 neurons, three hidden layers each with 4 neurons, and an output layer with 2 neurons? Assume there are no bias terms in the network.

Question

How many weights does a neural network have if it consists of an input layer with 2 neurons, three hidden layers each with 4 neurons, and an output layer with 2 neurons? Assume there are no bias terms in the network.

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Solution

To calculate the number of weights in a neural network, you need to consider the connections between each layer of neurons. Each connection between two neurons has one weight associated with it.

  1. Between the input layer and the first hidden layer: There are 2 neurons in the input layer and 4 neurons in the first hidden layer. So, the number of weights between these two layers is 2 * 4 = 8.

  2. Between the first hidden layer and the second hidden layer: There are 4 neurons in each of these layers. So, the number of weights between these two layers is 4 * 4 = 16.

  3. Between the second hidden layer and the third hidden layer: Again, there are 4 neurons in each of these layers. So, the number of weights between these two layers is also 4 * 4 = 16.

  4. Between the third hidden layer and the output layer: There are 4 neurons in the third hidden layer and 2 neurons in the output layer. So, the number of weights between these two layers is 4 * 2 = 8.

Adding these all up, the total number of weights in the neural network is 8 + 16 + 16 + 8 = 48.

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