π€ AI Summary
Existing diffusion-based methods for efficient sampling from unnormalized target distributions rely on multi-step iterative procedures, incurring substantial computational overhead.
Method: This paper introduces the Consistent Diffusion Samplerβa novel framework enabling single-step, high-fidelity sample generation. It eliminates intermediate sampling steps entirely via a self-consistency loss, supports both distillation of pre-trained diffusion models and end-to-end training from scratch, and innovatively leverages incomplete sampling trajectories and noisy intermediate states for modeling.
Results: On diverse unnormalized distributions, our method achieves sample quality comparable to traditional multi-step diffusion while reducing network evaluations to less than 1%βa drastic improvement in sampling efficiency and practical applicability.
π Abstract
Sampling from unnormalized target distributions is a fundamental yet challenging task in machine learning and statistics. Existing sampling algorithms typically require many iterative steps to produce high-quality samples, leading to high computational costs that limit their practicality in time-sensitive or resource-constrained settings. In this work, we introduce consistent diffusion samplers, a new class of samplers designed to generate high-fidelity samples in a single step. We first develop a distillation algorithm to train a consistent diffusion sampler from a pretrained diffusion model without pre-collecting large datasets of samples. Our algorithm leverages incomplete sampling trajectories and noisy intermediate states directly from the diffusion process. We further propose a method to train a consistent diffusion sampler from scratch, fully amortizing exploration by training a single model that both performs diffusion sampling and skips intermediate steps using a self-consistency loss. Through extensive experiments on a variety of unnormalized distributions, we show that our approach yields high-fidelity samples using less than 1% of the network evaluations required by traditional diffusion samplers.