Temporal Feature Matters: A Framework for Diffusion Model Quantization

The Diffusion models, widely used for image generation, face significant challenges related to their broad applicability due to prolonged inference times and high memory demands. Efficient Post-Training Quantization (PTQ) is crucial to address these issues in traditional models. Unlike those models, diffusion models critically rely on the time-step $t$ for effective multi-round denoising. Typically, $t$ from the finite set $\{1, \ldots, T\}$ is encoded into a hypersensitive temporal feature by several modules, entirely independent of the sampling data. However, existing PTQ methods do not optimize these modules individually. Instead, they employ unsuitable reconstruction objectives and complex calibration methods, leading to significant disturbances in the temporal feature and denoising trajectory. To address these challenges, we introduce a novel quantization framework: 1)~TIB-based Maintenance: Based on our innovative Temporal Information Block~(TIB) definition, Temporal Information-aware Reconstruction~(TIAR) and Finite Set Calibration~(FSC) are developed to efficiently align full precision temporal features. 2)~Cache-based Maintenance: Instead of indirect and complex optimization for the related modules, pre-computing and caching quantized counterparts of temporal features are developed to minimize errors. 3)~Disturbance-aware Selection: Employ temporal feature errors to guide a fine-grained selection for superior maintenance. This framework preserves most of the temporal information and ensures high-quality end-to-end generation. Extensive testing on various datasets and diffusion models confirms our superior results. Notably, our approach closely matches the performance of the full-precision model under 4-bit quantization. Furthermore, the quantized SD-XL model achieves hardware acceleration of 2.20$\times$ on CPU and 5.76$\times$ on GPU demonstrating its efficiency.