Polynomial smoothing to estimate the derivative of a large sequence of sampled data requires the proper choice of the degree polynomial and the smoothing interval. Linear and cubic polynomial ...

In the Introduction to the Derivative video we introduce the notion of the derivative of a function and explain how the derivative captures the instantaneous rate of change of a function. In the ...

We suggest a one-dimensional jump-detection algorithm based on local polynomial fitting for jumps in regression functions (zero-order jumps) or jumps in derivatives (first-order or higher-order jumps) ...