2 problems

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The interaction-order conjecture for the k-parameter of Delta measures
Interaction-order conjecture. The primary role of the parameter $k$ is to tune the order of interaction to which $\Delta^{k}$ is sensitive.
Conjectureopeninformation-theory multivariate-informationarXiv posted 3 days ago
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Invariance of multivariate mutual information under sufficient statistics
Sufficient-statistics invariance conjecture. Replacing each variable by its sufficient statistic about the others does not perturb the informational interactions among the variable…
Conjectureopeninformation-theory multivariate-information sufficient-statisticsarXiv posted 3 days ago

The interaction-order conjecture for the k-parameter of Delta measures