If a convolutional layer has an input size of 28x28 and applies a filter of size 3x3 with a stride of 1 and no padding, what is the size of the output feature map?
Question
If a convolutional layer has an input size of 28x28 and applies a filter of size 3x3 with a stride of 1 and no padding, what is the size of the output feature map?
Solution
The size of the output feature map can be calculated using the formula:
O = (W - K + 2P)/S + 1
where:
- O is the output height/length
- W is the input height/length
- K is the filter size
- P is the padding
- S is the stride
Given in the question:
- W is 28 (the input size)
- K is 3 (the filter size)
- P is 0 (no padding)
- S is 1 (the stride)
Substituting these values into the formula gives:
O = (28 - 3 + 2*0)/1 + 1 = 26
So, the size of the output feature map would be 26x26.
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