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fantastic. sankey diagrams are still niche, and this tree decomposition method is a powerful refinement on them.
if you have any set of statements produced by a consistent logic you can represent them as a grammar, which is a graph, and you can take the statements in it and illustrate multiple ones together at once in a sankey diagram. they compress a huge amount of information for people who understand them.
I hope adding this quantitative dimension to them is the push they need to end the sankey diagram winter we're in. dumb usage of them for low dimensionality data is just the exploded-view of a pie chart, and that may actually have been a more apt name for the one that brought about this winter I'm thinking of.