The paper derives rate-distortion formulas via optimal weak transport, linking them to Schrödinger bridges, but the main results are known classical forms.
Transportation Proof of an inequality by Anantharam, Jog and Nair
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Anantharam, Jog and Nair recently put forth an entropic inequality which simultaneously generalizes the Shannon-Stam entropy power inequality and the Brascamp-Lieb inequality in entropic form. We give a brief proof of their result based on optimal transport.
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A Revisit to Rate-distortion Theory via Optimal Weak Transport
The paper derives rate-distortion formulas via optimal weak transport, linking them to Schrödinger bridges, but the main results are known classical forms.