How many conv layers with 3x3 filters would you need to have the same receptive field as a conv layer with 11x11 filters? Assume stride=1 and no padding. Enter your answer for the number of layers as an integer, E.g., 12 points
Question
How many conv layers with 3x3 filters would you need to have the same receptive field as a conv layer with 11x11 filters? Assume stride=1 and no padding. Enter your answer for the number of layers as an integer, E.g., 12 points
Solution
To calculate the receptive field of a convolutional layer, we use the formula:
Receptive Field = ((Size of filter - 1) * Number of layers) + 1
Given that we want to find the number of 3x3 filter layers that would have the same receptive field as a single 11x11 filter layer, we can set up the following equation:
11 = ((3 - 1) * Number of layers) + 1
Solving for the number of layers, we get:
10 = 2 * Number of layers
Number of layers = 10 / 2 = 5
So, you would need 5 convolutional layers with 3x3 filters to have the same receptive field as a single convolutional layer with an 11x11 filter.
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