What is a possible convex conjugate of the function $\rho \mapsto \int (\nabla \log \rho(x))^2 \rho(x) dx$?
(Suppose $\rho$ is a sufficiently integrable probability density function on a $d$-dimensional domain.)
2026-02-23 04:40:36.1771821636
Convex conjugate of average Fisher information measure
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