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Some of the first results showing that efficient to compute and accurate relaxations of the geodesic Sinkhorn-based solutions of the Optimal Transport problem can be derived by applying fast TFI methods are provided.
This work investigates the expressiveness of general query/key rotations and finds that any normalized continuous positive-definite attention modulation function can be approximated by random rotations induced by its own Fourier transform, which is term Random Fourier Rotations.
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