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CyFM: Cylindrical Optimal Transport for Few-Step Complex-Valued Flow Matching

Musiałek, Marcel et al.
arXiv (OAI Expanded) · Papers
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machine-learning
Complex-valued signals like MRI and audio spectrograms are typically modelled as flat two-channel Euclidean data. The inherited Euclidean metric $dA^2 + A^2 dθ^2$ vanishes at the origin, leaving phase unpenalised exactly where the signal is weakest. We replace it with the decoupled product metric $d
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