In this project, we provide a method to construct piecewise local linear approximations of a black box model. The main idea behind building piecewise approximations is to divide the feature space into ...

In previous work we introduced principal surfaces as hyperridges of probability distributions in a differential geometrical sense. Specifically, given an n-dimensional probability distribution over ...

Linear approximation is a method used to estimate the value of a function near a given point using the tangent line at that point. This technique simplifies complex functions into a linear form ...

In particular, the change in the density due to using the local approximation has essentially no effect on the correlated part of the calculation, and the loss of three-body effects in the pairwise ...