Diffusion Sampling Correction via Approximately 10 Parameters

Diffusion Probabilistic Models (DPMs) have demonstrated exceptional performance in generative tasks, but this comes at the expense of sampling efficiency. To enhance sampling speed without sacrificing quality, various distillation-based accelerated sampling algorithms have been recently proposed. However, they typically require significant additional training costs and model parameter storage, which limit their practical application. In this work, we propose PCA-based Adaptive Search (PAS), which optimizes existing solvers for DPMs with minimal learnable parameters and training costs. Specifically, we first employ PCA to obtain a few orthogonal unit basis vectors to span the high-dimensional sampling space, which enables us to learn just a set of coordinates to correct the sampling direction; furthermore, based on the observation that the cumulative truncation error exhibits an ``S''-shape, we design an adaptive search strategy that further enhances the sampling efficiency and reduces the number of stored parameters to approximately 10. Extensive experiments demonstrate that PAS can significantly enhance existing fast solvers in a plug-and-play manner with negligible costs. For instance, on CIFAR10, PAS requires only 12 parameters and less than 1 minute of training on a single NVIDIA A100 GPU to optimize the DDIM from 15.69 FID (NFE=10) to 4.37.

PFDiff: Training-free Acceleration of Diffusion Models through the Gradient Guidance of Past and Future

Diffusion Probabilistic Models (DPMs) have shown remarkable potential in image generation, but their sampling efficiency is hindered by the need for numerous denoising steps. Most existing solutions accelerate the sampling process by proposing fast ODE solvers. However, the inevitable discretization errors of the ODE solvers are significantly magnified when the number of function evaluations (NFE) is fewer. In this work, we propose PFDiff, a novel training-free and orthogonal timestep-skipping strategy, which enables existing fast ODE solvers to operate with fewer NFE. Based on two key observations: a significant similarity in the model's outputs at time step size that is not excessively large during the denoising process of existing ODE solvers, and a high resemblance between the denoising process and SGD. PFDiff, by employing gradient replacement from past time steps and foresight updates inspired by Nesterov momentum, rapidly updates intermediate states, thereby reducing unnecessary NFE while correcting for discretization errors inherent in first-order ODE solvers. Experimental results demonstrate that PFDiff exhibits flexible applicability across various pre-trained DPMs, particularly excelling in conditional DPMs and surpassing previous state-of-the-art training-free methods. For instance, using DDIM as a baseline, we achieved 16.46 FID (4 NFE) compared to 138.81 FID with DDIM on ImageNet 64x64 with classifier guidance, and 13.06 FID (10 NFE) on Stable Diffusion with 7.5 guidance scale.