3 Motivated by the works of Ngo and Du [H. Ngo, D. Du, A survey on combinatorial group testing 4 algorithms with applications to DNA library screening, DIMACS Series in Discrete Ma...
In this work, we propose a framework that allows to build morphological operators for processing and filtering objects defined on t) simplicial complex spaces. We illustrate with...
We study the minimum number g(m, n) (respectively, p(m, n)) of pieces needed to dissect a regular m-gon into a regular n-gon of the same area using glass-cuts (respectively, polygo...
Natural Dowling analogues of the complex of phylogenetic trees are studied. Using discrete Morse theory, we find their homotopy types. In the process, the homotopy types of certai...
This paper considers the regularized learning algorithm associated with the leastsquare loss and reproducing kernel Hilbert spaces. The target is the error analysis for the regres...