matloff / matloff/polyreg

Higher degree polynomial

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Description

I have a couple of questions about your paper "Polynomial Regression as an Alternative to Neural Networks".

- At point 5 it is said that "many authors recommend not using polynomial models of degree higher than 2 or 3" .

In which cases is it possible to get higher degree polynomials which fit well?

- At point 6.1 it is said that " the degree of the approximating polynomial increases from layer to layer".

So, if I get a polynomial of degree 3 which fits well, then the corresponding neural network will have three layers approximately?

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Research direction

Start by reading the paper's quoted sections, point 5 and point 6.1, and compare the claims about polynomial degree with the questions raised here. Done means clarifying when higher-degree polynomials may fit well and whether polynomial degree maps directly to neural-network layers, then updating the relevant explanation.

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Assessment

Domain
documentation
Issue type
Documentation
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
15/100

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