4 problems

Conditional $W$-way MPST conjecture. There is a unique inner- and outer-regular finite Borel measure $\widetilde\mu$ on $\widehat{\mathcal{A}}_{\mathrm{cond}}$ such that

Let $W$ be a positive integer and let $D$ be a symmetric, $W$-way DPI-additive divergence on bounded $W$-tuples of probability distributions. Write … and let $\mathsf{C}_{\alpha}$…

Let $\Omega^{\mathrm{o}}=\{(\mu,\nu)\in(0,1)\times(0,1)\mid \nu<\mu\}$ be the interior of $\Omega$, and let $J$ be the Jacobian defined in Eq.. Negativity conjecture. For every…

Conjecture on powers of the Jensen–Shannon divergence. The quantity $[D_{JS}(P,Q)]^\alpha$ is not a metric for $1/2<\alpha<1$.