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> CNNs only make sense when working with image data anyways

Not true, N-dimensional convnets, 1-d convnets (for NLP and time series analysis), spatially sparse convnets, graph and non-Euclidean space convnets, ... exist and are used.

CNNs are akin to multiscale wavelet transforms. They can be applied on different spaces (just as graph wavelet transforms exist).




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