“…While many practical robotic systems are high dimensional, i.e., d 6, some application instances naturally admit decoupling of the degrees of freedom of the system, which induces lower-dimensional configuration subspaces. For instance, manipulation problems (see, e.g., [2]) can be typically decomposed into a sequence of tasks where the manipulator is driving toward an object (while fixing its arms), then moves an arm towards the object, and finally grasps it by actuating its fingers. Additionally, in some settings prior knowledge about the structure of the environment or a lower-dimensional space can inform sampling in the full configuration space, which can lead to more informative sampling distributions [28], [29], [30], [31].…”