3 papers
cs.RO2020
Piecewise-Linear Motion Planning amidst Static, Moving, or Morphing Obstacles
Bachir El Khadir, Jean Bernard Lasserre, Vikas Sindhwani
We propose a novel method for planning shortest length piecewise-linear motions through complex environments punctured with static, moving, or even morphing obstacles. Using a mome…
math.AG2019
On Sum of Squares Representation of Convex Forms and Generalized Cauchy-Schwarz Inequalities
Bachir El Khadir
A convex form of degree larger than one is always nonnegative since it vanishes together with its gradient at the origin. In 2007, Parrilo asked if convex forms are always sums of…
cs.RO2019
Teleoperator Imitation with Continuous-time Safety
Bachir El Khadir, Jake Varley, Vikas Sindhwani
Learning to effectively imitate human teleoperators, with generalization to unseen and dynamic environments, is a promising path to greater autonomy enabling robots to steadily acq…