Non-Parametric Function Fitting Task

AKA: Non-Parametric Regression.
Context:
- It can be solved by a Non-Parametric Function Fitting System (that implements a Non-Parametric Function Fitting Algorithm).
Example(s):
- a Non-Parametric Local Regression Task, such as a LOESS-based regression task (which uses LOESS).
- …
Counter-Example(s):
- a Parametric Function Fitting Task.
See: Curve Fitting, Parametric Regression, Parametric Function Fitting System.

References

(Fan et al., 1994) ⇒ Jianqing Fan, Tien-Chung Hu, and Young K. Truong. (1994). “Robust Non-parametric Function Estimation." Scandinavian journal of statistics
- QUOTE: … in the local approximation of the underlying curve by a linear function. … and applications of theorems 1 and 2. These include estimation of the regression, the conditional median and the conditional quantile functions as well as robust non-parametric function estimation. …

(Silverman et al., 1985) ⇒ Bernhard Silverman W. (1985). “Some Aspects of the Spline Smoothing Approach to Non-parametric Regression Curve Fitting.” In: Journal of the Royal Statistical Society. Series B (Methodological)
- QUOTE: Non-parametric regression using cubic splines is an attractive, flexible and widely-applicable approach to curve estimation. Although the basic idea was formulated many years ago, the method is not as widely known or adopted as perhaps it should be.

(Priestley et al., 1972) ⇒ M. B. Priestley, and M. T. Chao. (1972). “Non-parametric Function Fitting.” In: Journal of the Royal Statistical Society. Series B (Methodological)
- QUOTE: In this note we consider the problem of fitting a general functional relationship between two variables. We require only that the function to be fitted is, in some sense, "smooth", and do not assume that it has a known mathematical form involving only a finite number of ...