We establish that, for a Markov semi-group, $L^2$ hypocoercivity, i.e. contractivity modified norm, implies quantitative deviation bounds additive functionals of the associated process and exponential integrability hitting time sets with positive measure. Moreover, in case diffusion processes under strong hypoellipticity assumption, we prove that hypocoercivity existence Lyapunov function gener...

A current trend in robotics is to define robot motions so that they can be easily adopted to situations beyond those for which the motion was originally designed. In this work, we show how the challenging task of playing minigolf can be efficiently tackled by first learning a basic hitting motion model, and then learning to adapt it to different situations. We model the basic hitting motion wit...

We develop a novel framework, the implicit hitting set approach, for solving a class of combinatorial optimization problems. The explicit hitting set problem is as follows: given a set U and a family S of subsets of U , find a minimum-cardinality set that intersects (hits) every set in S. In the implicit hitting set problem (IHSP), the family of subsets S is not explicitly listed (its size is, ...