Laplace Schedule

The Laplace schedule uses the CDF of the Laplace distribution to shape the noise trajectory. It concentrates the majority of noise injection around the midpoint of the diffusion process, meaning that relatively little noise is added at the very beginning and end, while mid-range timesteps see the sharpest transitions. Because the Laplace distribution is heavy-tailed, the schedule still provides meaningful noise variation across the full range of $t$. This mid-concentrated approach can be computationally efficient, offering improved performance under resource constraints.