The power flow equations relate the power injections and voltages in an electric power
system and are therefore key to many power system optimization and control problems …

In this paper, we study the non-asymptotic convergence rate of the DCA (difference-of-
convex algorithm), also known as the convex–concave procedure, with two different …

We address the problem of finding continuous piecewise linear (CPWL) approximations of
deterministic functions of any dimension that satisfy any predefined error-tolerance, while …

Proximal support vector machine (PSVM), as a variant of support vector machine (SVM), is to
generate a pair of non-parallel hyperplanes for classification. Although PSVM is one of the …

We present generalizations of Newton's method that incorporate derivatives of an arbitrary
order d but maintain a polynomial dependence on dimension in their cost per iteration. At …

In this paper, we consider minimization of a difference-of-convex (DC) function with and
without linear equality constraints. We first study a smooth approximation of a generic DC …

Difference of convex functions (DC) programming is an important approach to nonconvex
optimization problems because these structures can be encountered in several fields …

We present the invariant barrier-certificate condition that witnesses unbounded-time safety
of differential dynamical systems. The proposed condition is the weakest possible one to …

We prove that convex ternary quartic forms are sum-of-squares-convex (sos-convex). This
result is in a meaningful sense the``convex analogue''a celebrated theorem of Hilbert from …

Device-to-device (D2D) communication is an enabling technology for fog computing by
allowing the sharing of computation resources between mobile devices. However …