Morse-Smale Regression

摘要: This article introduces a novel partition-based regression approach that incorporates topological information. Partition-based typically quality-of-fit-driven decomposition of the domain. The emphasis in this work is on topologically meaningful segmentation. Thus, proposed based segmentation induced by discrete approximation Morse–Smale complex. yields with partitions corresponding to regions function single minimum and maximum are often well approximated linear model. models amenable interpretation have good predictive capacity. Typically, estimates quantified their geometrical accuracy. For regression, an important aspect quality itself. new criterion measures accuracy estimate. provides complementary mea...