2 problems

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The Four-Atom conjecture on the minimum Ingleton score
Let $X_1,X_2,X_3,X_4$ be four random variables, and let the Ingleton score be the normalized function measuring the degree to which their joint distribution violates the Ingleton i…
Conjecturerefutedentropy-region inequalities information-theoryarXiv posted 2 days ago
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Entropy-region characterization for three vector-valued jointly Gaussian random variables
Entropy-region conjecture for three vector-valued Gaussians. The closure of $G_3^{\mathrm{Gauss}}$ is characterized by the following inequalities. If $\tilde y\leq 0$ , then
Conjectureopendifferential-entropy entropy-region gaussian-information-theoryarXiv posted 2 days ago

The Four-Atom conjecture on the minimum Ingleton score