‎In this paper, using the idea of convexificators, we study boundedness and nonemptiness of Lagrange multipliers satisfying the first order necessary conditions. We consider a class of nons- mooth fractional programming problems with equality, inequality constraints and an arbitrary set constraint. Within this context, define generalized Mangasarian-Fromovitz constraint qualification and sh...

This article concerns cautious classification models that are allowed to predict a set of class labels or reject make prediction when the uncertainty in is high. set-valued approach equivalent task acceptance region learning, which aims identify subsets input space, each guarantees cover observations with at least predetermined probability. We propose directly learn regions through risk minimiz...

Abstract We describe a simple deterministic $$O( \varepsilon ^{-1} \log \Delta )$$ O ( ε - 1 log Δ ) round distributed algorithm for $$(2\alpha +...