Our work is a fundamental study of the notion of approximation in Q-categories and in (U, Q)-categories, for a quantale Q and the ultrafilter monad U. We introduce auxiliary, appro...
Using ideas from persistent homology, the robustness of a level set of a real-valued function is defined in terms of the magnitude of the perturbation necessary to kill the classe...
Paul Bendich, Herbert Edelsbrunner, Michael Kerber...
The physical properties of color are usually described by their spectra, eigenvector expansions or low-dimensional descriptors such as RGB or CIE-Lab. In the first part of the pap...
I modify the standard coverage construction of the reals to obtain the irrationals. However, this causes a jump in ordinal complexity from ω + 1 to Ω. The coverage technique ha...
d Abstract) Aravindhan K Krishnan Madhava Krishna Supreeth Achar This paper presents an approach to explore an unknown indoor environment using vision as the sensing modality, t...
Aravindhan K. Krishnan, K. Madhava Krishna, Supree...