Usual reminder: when I've been saying for the past 5+ years that deep learning is interpolative, I don't mean it does linear interpolation in the original encoding space (which would be useless). It does interpolation on a low-dimensional manifold embedded in the encoding space.
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Taking a bunch of numerical features (e.g. images) describing spoons and forks and interpolating linearly between them would be entirely meaningless...
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This is how we end up with sporks. Nobody likes sporks
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Seems like defining that manifold or quantifying functionality in any meaningful way is the hard part, no?
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