论文标题
自由能景观的Sobolev采样
Sobolev Sampling of Free Energy Landscapes
论文作者
论文摘要
此处引入了一种快速采样方法的家族,以用于对具有坚固的自由能景观的系统的分子模拟。这些方法代表了一种策略的概括,该策略是随着模拟的进行,将自由能的模型调整为单个或多个集体变量的函数。这种模型是随着系统的发展而逐渐构建的。该方法的一个共同特征是,基本的功能模型及其梯度可以轻松地以相同的参数表示,从而比其他可用的采样技术更快,更有效地拟合了模型的拟合。他们还消除了同时训练神经网络的需求,同时保留了产生平稳且连续的功能估计的优势,从而使支持网格之外有偏见。这些方法的实施相对简单,更重要的是,发现它们在计算效率上提供了多个数量级的收益,而现有方法则提供了数量级。
A family of fast sampling methods is introduced here for molecular simulations of systems having rugged free energy landscapes. The methods represent a generalization of a strategy consisting of adjusting a model for the free energy as a function of one- or more collective variables as a simulation proceeds. Such a model is gradually built as a system evolves through phase space from both the frequency of visits to distinct states and generalized force estimates corresponding to such states. A common feature of the methods is that the underlying functional models and their gradients are easily expressed in terms of the same parameters, thereby providing faster and more effective fitting of the model from simulation data than other available sampling techniques. They also eliminate the need to train simultaneously separate neural networks, while retaining the advantage of generating smooth and continuous functional estimates that enable biasing outside the support grid. Implementation of the methods is relatively simple and, more importantly, they are found to provide gains of up to several orders of magnitude in computational efficiency over existing approaches.