Figure 2

This is a model-validating example with dense data set of 8000 events. The piecewise-constant true density is given in (a), and the valid region is provided in (b). The sampled events are shown in (c). (d) and (e) show the two current density estimation methods, Kernel Density Estimation and TV MPLE. (f), (g), and (h) show the density estimates from our methods. The color scale represents the relative probability of an event occurring in a given pixel. The images are 80 pixels by 80 pixels. (a) True density, (b) Valid region, (c) 8,000 events, (d) Kernel density estimation, (e) TV MPLE method, (f) Our modified TV MPLE method, (g) Our weighted H₁ MPLE methodOur weighted TV MPLE method