Non monotonic feature selection decision

Why is it bad to have a non monotonic feature when attempting to determine an output. For example why would it be bad to select a temperature for determining a patients health?


In opposit I say.

Suppose we consider two features F1(time),F2(temprature) that F2 varies monotically with F1.

Simple answer:

  • Entropy of F2 given F1 is low.
  • Correlation of F1 and F2 is too high.

Don't worry cause the first feature selection algorithm removes it! :)

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