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Hi, thanks for your comment. You are correct that this model will not generalize to numbers outside this range. My goal was just to have a reference when this

Hi, thanks for your comment. You are correct that this model will not generalize to numbers outside this range. My goal was just to have a reference when this questions comes up in a discussion about creating feature interactions that are about differences, multiplications, etc. So I wanted to show that, yes, the model is capable of approximating it. Of course, we would need a sample that covers the necessary range to generalize. This is a good topic for a future article.

YeGoblynQueenne 8y ago
Hi and thank you for your gracious reply to my criticism, which I hope didn't come across as too harsh. I appreciate your effort to create a point of reference for discussions of this issue, however, that is where precision is needed. There is already much confusion around the power and the limitations of machine learning and experienced practitioners should work to minimise this confusion. I am looking forward to reading your future article on the topic.
jacquesm 8y ago
It's a good topic for an update to the existing article to explain the limitations better. A sentence or two would do.