Posts

Showing posts with the label non-parametric Locally Weighted Regression Algorithm

WEEK 10: Implement the non-parametric Locally Weighted Regression algorithm in order to fit data points. Select appropriate data set for your experiment and draw graphs.

Image
 WEEK 10: Implement the non-parametric Locally Weighted Regression algorithm in order to fit data points. Select appropriate data set for your experiment and draw graphs. Locally Weighted Regression Algorithm Regression: ·        Regression is a technique from statistics that are used to predict values of the desired target quantity when the target quantity is continuous. o    In regression, we seek to identify (or estimate) a continuous variable y associated with a given input vector x. §   y is called the dependent variable. §   x is called the independent variable. Loess/Lowess Regression: Loess regression is a nonparametric technique that uses local weighted regression to fit a smooth curve through points in a scatter plot. Lowess Algorithm: ·        Locally weighted regression is a very powerful nonparametric model used in statistical learning. ·        Given a dataset X, y, we attempt to find a model parameter β(x) that minimizes residual sum of weighted squared error