—We investigate the generalization of the Costas property in 3 or more dimensions, and we seek an appropriate definition. We offer a construction method based on the idea of res...
Two-dimensional constrained Delaunay triangulations are geometric structures that are popular for interpolation and mesh generation because they respect the shapes of planar domai...
In this paper, we generalize the notion of persistence, which has been originally introduced for two-dimensional formations, to Rd for d 3, seeking to provide a theoretical framew...
Changbin Yu, Julien M. Hendrickx, Baris Fidan, Bri...
Drawing on the correspondence between the graph Laplacian, the Laplace-Beltrami operator on a manifold, and the connections to the heat equation, we propose a geometrically motiva...
We investigate the number of samples required for testing the monotonicity of a distribution with respect to an arbitrary underlying partially ordered set. Our first result is a n...
Arnab Bhattacharyya, Eldar Fischer, Ronitt Rubinfe...