Inductive Moment Matching
Authors: name: Linqi Zhou; name: Stefano Ermon; name: Jiaming Song
Published: 2025-03-10 17:37:39

Abstract: Diffusion models and Flow Matching generate high-quality samples but are slow
at inference, and distilling them into few-step models often leads to
instability and extensive tuning. To resolve these trade-offs, we propose
Inductive Moment Matching (IMM), a new class of generative models for one- or
few-step sampling with a single-stage training procedure. Unlike distillation,
IMM does not require pre-training initialization and optimization of two
networks; and unlike Consistency Models, IMM guarantees distribution-level
convergence and remains stable under various hyperparameters and standard model
architectures. IMM surpasses diffusion models on ImageNet-256x256 with 1.99 FID
using only 8 inference steps and achieves state-of-the-art 2-step FID of 1.98
on CIFAR-10 for a model trained from scratch.