Emerging research in computer graphics, inverse problems, and machine learning requires us to differentiate optimize parametric discontinuities. These discontinuities appear object boundaries, occlusion, contact, sudden change over time. In many domains, such as rendering physics simulation, we the parameters of models that are expressed integrals discontinuous functions. Ignoring during differ...

A recent econometric literature has critiqued the use of regression discontinuities where administrative borders serve as ‘cutoff’. Identification in this context is difficult since multiple treatments can change at cut-off and individuals easily sort on either side border. This note extends difference-in-discontinuities framework discussed Grembi et al. (2016) to a geographic setting. paper fo...

Optical triangulation laser scanners produce errors at surface discontinuities and sharp features. These systematic errors are anisotropic. We examine the causes of these errors theoretically, and we study the correlation of systematic error with edge size and orientation experimentally. We then present a novel processing method for removing systematic errors, by combining scans taken at severa...