Measured relative entropies can be computed by Nesterov accelerated gradient descent/ascent because their variational objective functions are smooth and strongly convex/concave.
[Hia21] Fumio Hiai.Quantumf-divergences in von Neumann Algebras: Reversibility of Quantum Operations
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Accelerated optimization of measured relative entropies
Measured relative entropies can be computed by Nesterov accelerated gradient descent/ascent because their variational objective functions are smooth and strongly convex/concave.