标题： 自愈伞采样：收敛性和效率 显示英文标题

标题： Self-Healing Umbrella Sampling: Convergence and efficiency

摘要： 自愈伞采样（SHUS）算法是一种自适应偏差算法，已被提出用于有效采样多模态概率测度。 我们表明，该方法可以视为众所周知的王-兰道算法的一种变体。 通过适应王-兰道算法收敛性的结果，我们证明了SHUS算法的收敛性。 我们还从效率方面比较了这两种方法。 最后，我们提出了一种对SHUS算法的修改以提高其效率，并展示了SHUS与良好温度元动力学方法的一些相似之处。 显示英文摘要

摘要： The Self-Healing Umbrella Sampling (SHUS) algorithm is an adaptive biasing algorithm which has been proposed to efficiently sample a multimodal probability measure. We show that this method can be seen as a variant of the well-known Wang-Landau algorithm. Adapting results on the convergence of the Wang-Landau algorithm, we prove the convergence of the SHUS algorithm. We also compare the two methods in terms of efficiency. We finally propose a modification of the SHUS algorithm in order to increase its efficiency, and exhibit some similarities of SHUS with the well-tempered metadynamics method.