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On the UCR Matrix Profile site, they have a growing list of time series questions that can be solved by computing the matrix profile. The PDF can be found here and the corresponding code/data is here.
It would be interesting to begin compiling a STUMPY examples that reproduces the solutions to those questions below (including data sources).
Additionally, there is this other paper titled "Ten
Useful Things you can do with the Matrix Profile and
Ten Lines of Code" that might be worth reproducing