Mathematics of the Weather: Polygonal Spline Local Regression
By calculating the "line of best fit" for just a small window, the model stays sensitive to sudden changes, like a cold front moving in. 3. The Objective Function Mathematics of the Weather: Polygonal Spline Lo...
focuses only on data points near a specific moment in time. It can handle "non-linear" events (like a sudden
It can handle "non-linear" events (like a sudden thunderstorm) better than a simple average. Instead of one long, complex equation for an
Think of a "spline" as a flexible strip used to draw smooth curves. In mathematics, a is a piecewise linear function. Instead of one long, complex equation for an entire week of weather, the timeline is broken into small segments (connected at points called "knots"). Inside each segment, the model assumes a simple linear relationship. 2. Why "Local" Regression?