Polynomial Function Fitting Task
(Redirected from polynomial fitting)
A Polynomial Function Fitting Task is a non-linear function fitting task that requires the production of a (best-fitting) fitted polynomial function.
- AKA: Linear Regression.
- Context:
- Input: a Numerically-Labeled Training Dataset.
- output: a Fitted Polynomial Function.
- It can be solved by a Polynomial Regression System (that implements a polynomial regression algorithm).
- Example(s):
- …
- Counter-Example(s):
- See: System of Polynomial Equations, Polynomial Program.
References
2013
- http://mathworld.wolfram.com/LeastSquaresFittingPolynomial.html
- QUOTE: Generalizing from a straight line (i.e., first degree polynomial) to a kth degree polynomial :[math]\displaystyle{ y=a_0+a_1x+...+a_kx^k, (1) }[/math] the residual is given by [math]\displaystyle{ R^2=sum_(i=1)^n[y_i-(a_0+a_1x_i+...+a_kx_i^k)]^2 }[/math].