Energy management system is vital to fuel cell vehicles in fuel economy and system
durability. In this paper, we investigate the problem of controlling energy flow in charge …

Finding low-rank solutions of semidefinite programs is important in many applications. For
example, semidefinite programs that arise as relaxations of polynomial optimization …

The Stackelberg prediction game (SPG) has been extensively used to model the interactions
between the learner and data provider in the training process of various machine learning …

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Standard machine learning algorithms typically assume that data is sampled independently
from the distribution of interest. In attempts to relax this assumption, fields such as …

Abstract Let F⊆ R n be a nonempty closed set. Understanding the structure of the closed
convex hull C¯(F):= conv¯{(x, xx T)| x∈ F} in the lifted space is crucial for solving quadratic …

We establish various extensions of the convexity Dines theorem for a (joint-range) pair of
inhomogeneous quadratic functions. If convexity fails we describe those rays for which the …

We investigate in this paper the generalized trust region subproblem (GTRS) of minimizing a
general quadratic objective function subject to a general quadratic inequality constraint. By …

With the help of the newly developed S-lemma with interval bounds, we show that strong
duality holds for the interval bounded generalized trust region subproblem (GTRS) under …

This paper addresses the optimal power flow problem in direct current networks with
uncertain load demands. This is a non-convex optimization problem which becomes further …