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Suppose your input is a 300*300 color (RGB) image, and you are not using a convolutional network. If the first hidden layer has 100 neurons, each one fully connected to the input, how many parameters does this hidden layer have (assume each neuron has its own bias parameter)?       a.9,000,001b. 27,000,001c.27,000,100d.9,000,100

Question

Suppose your input is a 300*300 color (RGB) image, and you are not using a convolutional network. If the first hidden layer has 100 neurons, each one fully connected to the input, how many parameters does this hidden layer have (assume each neuron has its own bias parameter)?       a.9,000,001b. 27,000,001c.27,000,100d.9,000,100

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Solution

The number of parameters in a fully connected layer can be calculated using the formula:

Parameters = (Number of inputs * Number of neurons) + Number of neurons (for bias)

In this case, the image is 300300 and it's a color image, so it has 3 channels (Red, Green, Blue). Therefore, the total number of inputs is 300300*3 = 270,000.

So, the total number of parameters in the first hidden layer would be:

Parameters = (270,000 * 100) + 100 = 27,000,100

So, the correct answer is c. 27,000,100.

This problem has been solved

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