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Nov 22, 2023 at 12:06 comment added Ahmed Alhallag "when weights in a filter drop rapidly away from its center.", can you explain what does that mean please? i'm new to the field
Apr 1, 2019 at 18:01 comment added resnet Makes sense :). I think in most cases, something like "Min-Padding" would make sense as a more general recommendation instead of Zero-Padding? I.e., always choosing the smallest activation value. Currently can't think of a counter example as activation functions I know are usually monotonic. What do you think?
Apr 1, 2019 at 17:47 comment added Esmailian @resnet you are right, I was about to say because 0 is equal to "non-existent" input, but again we can define non-existent as "-1"! So I removed that part.
Apr 1, 2019 at 17:45 history edited Esmailian CC BY-SA 4.0
Explanation removed
Apr 1, 2019 at 17:29 comment added resnet Thanks for the follow up via your edit. Regarding "Another important note is that the filters are doing weighted sum over input patches, thus we generally want a padding that is as neutral as possible for the summation, i.e. $f(i,j)= w(i,j) \times x(i, j) +w(i+1, j+1) \times 0 +..$. which further justifies the zero-padding as a generic solution." --> I am not sure if this is as neutral as possible, because when using e.g., tanH, you have a maximum gradient when doing back propagation when the activations are 0. For ReLU, this reasoning may make sense though.
Apr 1, 2019 at 14:24 history edited Esmailian CC BY-SA 4.0
Explanation improved
Apr 1, 2019 at 14:09 comment added resnet Because like you said, one of the goals is to avoid shrinking and also information loss at the edges. I usually think of the min value as "placeholder pixels (e.g., black in b/w images)" E.g., if MNIST was b/w and normalized to a [-0.5, 0.5] range, zero padding would add gray pixels, which is not immediately intuitive
Apr 1, 2019 at 14:03 comment added resnet > "For a specific input, activation function, or loss function, a variant might perform better," That makes sense, but I am wondering if choosing always the min value of the activation function would already be an improvement over using 0. Same for images after normalization.
Apr 1, 2019 at 10:23 history edited Esmailian CC BY-SA 4.0
Wording improved
Apr 1, 2019 at 10:10 history edited Esmailian CC BY-SA 4.0
Explanation improved
Apr 1, 2019 at 10:02 history answered Esmailian CC BY-SA 4.0