Before revision:  Accelerated sampling enabled by this new hyperparameter is not only experimentally demonstrated on several learning tasks, but also theoretically quantified, both at the continuous level and after discretization. For (not-necessarily-strongly-) convex and L-smooth potentials, exponential convergence in \chi^2 divergence  is proved, with a rate analogous to  state-of-the-art results of underdamped Langevin dynamics, plus an additional acceleration.
After revision:  Accelerated sampling enabled by this new hyperparameter is theoretically quantified. At continuous-time level, for log-concave/log-strongly-concave target measures, exponential convergence in \chi^2 divergence is proved, with a rate analogous to state-of-the-art results of underdamped Langevin dynamics, plus an additional acceleration.