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Covering Numbers for Convex Functions
Covering Numbers Convex Functions Information Theory
2012/4/17
In this paper we study the covering numbers of the space of convex and uniformly bounded functions in multi-dimension. We find optimal upper and lower bounds for the $\epsilon$-covering number of $\C(...
GENERALIZED SUBCONVEXLIKE FUNCTIONS AND MULTIPLE OBJECTIVE OPTIMIZATION
Generalized subconvexlike functions mul
2007/8/7
In this paper, we give some equivalent conditions for generalized subconvexlike functions. A Farkas-Minkowski theorem for generalized subconvexlike functions is then proved. These results are used to ...
OPTIMAL VALUE FUNCTIONS IN MATHEMATICAL PROGRAMMING AND CONVERGENCE FOR GRADIENT PROJECTION METHOD
optimal value function indicator functi
2007/8/7
In [1] we proved a general result on the directional derivative of optimal value functions in mathematical programming problems. In this paper, we prove, in addition to the general theorem, several ot...