SOURCE-LINKED INTELLIGENCE

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

arXiv · AI, language, vision and robotics · article · Sep 12, 2026 · UTC

Complex-valued signals, such as Magnetic Resonance Imaging (MRI) and audio spectrograms, are almost always modelled as flat two-channel Euclidean data. For nonzero values the amplitude-phase chart $z \mapsto (|z|, z/|z|)$ identifies the signal domain with the cylinder $(0, \infty) \times S^1$, on which we deliberately replace the inherited metric $dA^2 + A^2 dθ^2$ by the decoupled product metric $dA^2 + dθ^2$. In this empirical study we measure what that substitution costs and what it buys. By computing exact analytical bridges, we demonstrate that Cartesian paths induce a heavy-tailed distrib

Read original source ↗ Open in workspace

recordType

paper

region

Global