Definition
Multivariate Adaptive Regression Splines (MARS) is a flexible regression method that models complex nonlinear relationships by fitting piecewise linear basis functions. It automatically selects the location and direction of the knots in the data, allowing it to adapt to local variations without requiring manual specification of the functional form. MARS is particularly effective for high-dimensional data and handles interactions between variables naturally, making it a powerful tool for predictive modeling in various scientific and engineering domains.
Summary
A non-parametric regression technique that automatically selects basis functions to model complex relationships.
Key Concepts
- Piecewise linear functions
- Basis functions
- Knot selection
- Non-parametric regression
Use Cases
- Financial forecasting
- Environmental modeling
- Medical outcome prediction