Fig. 6.1.

UsingAlgorithm 5.2to compute the weighted ensemble bins$\mathcal{B}$when the number of bins is M = 4. We use 10⁶ iterations of Algorithm 5.2 with α = 10⁵. Top left: Potential energy V and bin boundaries when M = 4. Top right: The vector $\tilde{K}\tilde{h}$ defining the objective function in Algorithm 5.2, where $\tilde{h}$ is the approximate Poisson solution. Note that $\tilde{K}\tilde{h}$ is nearly constant on each superbasin. Bottom left: (square root of) the vector $\tilde{K}{\tilde{h}}^2-{(\tilde{K}\tilde{h})}^2$ involved in the mutation variance optimization in Algorithm 5.1. Bottom right: Approximate steady state distribution $\tilde{\mu }$. All plots have been cropped at x > 0.4, where the values of $\tilde{K}{\tilde{h}}^2-{(\tilde{K}\tilde{h})}^2$ and $\tilde{\mu }$ are neglibigle and $\tilde{K}\tilde{h}$ is nearly constant.