Complex normalizing flows can almost be information Kähler-Ricci flows
We develop interconnections between the complex normalizing flow for data drawn from Borel probability measures on the twofold realification of the complex manifold and a nonlinear flow nearly Kähler-Ricci. The complex normalizing flow relates the initial and target realified densities under the complex change of variables, necessitating the log determinant of the ensemble of Wirtinger Jacobians. The Ricci curvature of a Kähler manifold is the second order mixed Wirtinger partial derivative of the log of the local density of the volume form. Therefore, we reconcile these two facts by drawing forth the connection that the log determinant used in the complex normalizing flow matches a Ricci...
| Authors | Andrew Gracyk |
|---|---|
| Primary category | math.DG |
| Published | 20 April 2026 |
| Last updated at source | 22 June 2026 |
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