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4. A variant of this would be to, say, turn the camera towards the sky you can see from the window, then move it down, and boom, it's your backyard
So anyways, the visual world is in fact an entirely connected space (you can go from any valid image to any other valid image via a continuous path where every frame is a valid image). This means that there exists a natural, intrinsic manifold of the visual world.
This is true for every perception problem, remarkably. The *physical world* lies on a manifold. And that's what makes deep learning so effective -- its assumptions are a good match to reality.
Yeah. You can call anything continuous if you are allowed to redefine the support of what you're looking at and use various continuation methods. Whatever.
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