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[D] CNN: reducing image size to 1×1

In a CNN the image sizes get reduced through valid convolutions and padding layers (while the depth increases). In popular NN, e.g. VGG16 it goes down to (7x7x512) (width x height x depth). Would it be problematic to reduce the dimension even further to 1×1 (width x height) or when can this be beneficial? Unfortunately, I couldn’t find anything related to the question online.

submitted by /u/ccwpog
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Toronto AI is a social and collaborative hub to unite AI innovators of Toronto and surrounding areas. We explore AI technologies in digital art and music, healthcare, marketing, fintech, vr, robotics and more. Toronto AI was founded by Dave MacDonald and Patrick O'Mara.