The paper proves that deciding and finding minimal global necessary reasons is in L for perceptrons, NL-complete for BDDs, and co-NP-complete or DP-complete for multilayer perceptrons.
Abductive Explanations of C lassifiers under Constraints: Complex- ity and Properties
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On the Complexity of Global Necessary Reasons to Explain Classification
The paper proves that deciding and finding minimal global necessary reasons is in L for perceptrons, NL-complete for BDDs, and co-NP-complete or DP-complete for multilayer perceptrons.