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Re:Interpretability in Machine Learning: An Overview by pkage on Monday November 30, 2020 @02:50PM (#25258092)
R Guidotti et. al[0] wrote a good literature survey on black-box explainers, and contains a summary table on page 20 of the current state of the art.

In terms of designing NN-based ML, the above paper has some info and this paper by S Teso[1] is a good place to start looking further (though it is focused on XAL). SENNs are cool, but ultimately most inherenly interpretable models come down to classic ML (decision trees, linear/logreg, etc.) which is limiting compared to the power of NNs. Post-hoc explanations are basically the only option (esp. for DNNs).

[0] http://arxiv.org/abs/1802.01933

[1] https://www.semanticscholar.org/paper/Toward-Faithful-Explan...

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