Learn how to calculate the resulting volume dimensions after padding in a Convolutional Neural Network (CNN) input volume. Perfect for CNN certification exams and interviews.
Question
You have an input volume that is 15x15x8, and pad it using “pad=2.” What is the dimension of the resulting volume (after padding)?
A. 19x19x12
B. 17x17x10
C. 19x19x8
D. 17x17x8
Answer
C. 19x19x8
Explanation
To calculate the dimensions of the resulting volume after applying padding in a Convolutional Neural Network (CNN), you can use the following formula:
New Dimension=Original Dimension+2×Padding
Given
- Input volume: 15×15×8
- Padding: pad=2
Step-by-Step Calculation
Height and Width:
The height and width of the input volume are each 15. After applying padding of 2 on all sides, the new height and width become: 15+2×2=19
Depth:
The depth of the input volume (8) remains unchanged because padding is applied only to the spatial dimensions (height and width).
Resulting Volume
The resulting volume dimensions are: 19×19×8
This calculation aligns with the execution results provided in Python code, confirming that the final dimensions are accurate.
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