Given a function f : X → R on a topological space, we consider the preimages of intervals and their homology groups and show how to read the ranks of these groups from the exten...
Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozo...
— A well–known problem in constrained optimal control is the presence of interior boundary conditions for constrained arcs which require a–priori knowledge of the optimal sol...
Many practical optimization problems involve nonsmooth (that is, not necessarily differentiable) functions of thousands of variables. In the paper [Haarala, Miettinen, M¨akel¨a,...
Abstract. Searching and mining nuclear magnetic resonance (NMR)spectra of naturally occurring substances is an important task to investigate new potentially useful chemical compoun...
Alexander Hinneburg, Andrea Porzel, Karina Wolfram
Support vector machines utilizing the 1-norm, typically set up as linear programs (Mangasarian, 2000; Bradley and Mangasarian, 1998), are formulated here as a completely unconstra...