Complex normalizing flows can be information K\"ahler-Ricci flows

ArXi:2604.17954v1 Announce Type: cross We develop interconnections between the complex normalizing flow for data drawn from Borel probability measures on the twofold realification of the complex manifold and the K\"ahler-Ricci flow. The complex normalizing flow relates the initial and target realified densities under the complex change of variables, necessitating the log determinant of the Wirtinger Jacobian. The Ricci curvature of a K\"ahler manifold is the second order mixed Wirtinger partial derivative of the log of the local density of the volume form.