Contents
What is B-spline function?
A B-spline function is a combination of flexible bands that passes through a number of points that are called control points, creating smooth curves. These functions enable the creation and management of complex shapes and surfaces using a number of points.
Which of the following is the property of B-spline?
Properties of B-spline Curve : Each basis function has 0 or +ve value for all parameters. Each basis function has one maximum value except for k=1. The degree of B-spline curve polynomial does not depend on the number of control points which makes it more reliable to use than Bezier curve.
How does the BS function produce a spline?
The bs () function generates the entire matrix of basis functions for splines with the specified set of knots. By default, cubic splines are produced. Fitting wage to age using a regression spline is simple:
When to use a smoothing spline in R?
In order to fit more general sorts of GAMs, using smoothing splines or other components that cannot be expressed in terms of basis functions and then fit using least squares regression, we will need to use the gam library in R. The s () function, which is part of the gam library, is used to indicate that we would like to use a smoothing spline.
How do you fit regression lines in R?
In order to fit regression splines in R, we use the splines library. In lecture, we saw that regression splines can be fit by constructing an appropriate matrix of basis functions. The bs () function generates the entire matrix of basis functions for splines with the specified set of knots. By default, cubic splines are produced.
Where can I find splines and GAMS in R?
This lab on Splines and GAMs in R comes from p. 293-297 of “Introduction to Statistical Learning with Applications in R” by Gareth James, Daniela Witten, Trevor Hastie and Robert Tibshirani. It was re-implemented in Fall 2016 in tidyverse format by Amelia McNamara and R. Jordan Crouser at Smith College.