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Morse: Dual-Sampling for Lossless Acceleration of Diffusion Models

ICML 2025 · Image generation › Fast diffusion sampling · approach: Training-free diffusion acceleration

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Proposes Morse, a dual-model (Dash and Dot) sampling framework that accelerates pretrained diffusion models losslessly by combining jump sampling with a lightweight residual-feedback model that shares weights with the base model.

Problem

Jump sampling speeds up diffusion models but degrades sample quality because steps between visited points are skipped; the goal is lossless acceleration across sampling-step budgets without retraining the base model.

Approach

Dash is the unchanged pretrained diffusion model run with jump sampling; Dot is a much faster network built by adding light down/up-sampling blocks around the frozen Dash weights plus LoRA, trained to output a residual that lifts Dash's noise estimate to match the non-jumped next-step estimate, using trajectory information (x_ts, z_ts, t_s). The two are interleaved in time.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add MorseStable Diffusion v1.4 · MS-COCO, 10 LSDs, guidance scale 7.5FID: 11.75 -> 9.29Helped
Add MorseStable Diffusion v1.4 · MS-COCO, best guidance scale, 10 LSDsFID: 10.65 -> 8.60Helped
Add Morse instead of PFDiffStable Diffusion v1.4 · MS-COCO, 10 LSDsFID: 13.06 -> 11.67Helped
Add Morse instead of AYSDDIM · ImageNet 64×64, 10 LSDsFID: 29.23 -> 25.76Helped
Add MorseLCM-SDXL · MS-COCO, text-to-imageCLIP score: 30.80 -> 30.83Helped
Add trajectory information to Dot (sample, noise estimate, and time step from Dash) (ablation)Morse · CIFAR-10, DDIM, 10 LSDsFID: 13.56 -> 6.60Helped
Add the Dash trajectory sample as Dot input (ablation)Morse · CIFAR-10, DDIM, 10 LSDsFID: 13.56 -> 7.50Helped
Add the Dash trajectory time step as Dot input (ablation)Morse · CIFAR-10, DDIM, 10 LSDsFID: 13.56 -> 8.11Helped
Add the Dash trajectory noise estimate as Dot input (ablation)Morse · CIFAR-10, DDIM, 10 LSDsFID: 13.56 -> 8.06Helped
Use trainable sampling blocks instead of direct resolution transformation (ablation)Morse Dot for Stable Diffusion · MS-COCO, 10 LSDs, best guidance scaleFID: 370.79 -> 9.23Helped
Add LoRA for Dot training (ablation)Morse Dot for Stable Diffusion · MS-COCO, 10 LSDs, best guidance scaleFID: 370.79 -> 9.79Helped
Use trainable sampling blocks and LoRA together (ablation)Morse Dot for Stable Diffusion · MS-COCO, 10 LSDs, best guidance scaleFID: 9.23 -> 8.60; 9.79 -> 8.60Helped

Surprising findings

Limitations

Experimental setup

Datasets: CIFAR-10 CelebA ImageNet CelebA-HQ LSUN-Church LAION-5B MS-COCO

Benchmarks: CIFAR-10 ImageNet 64x64 CelebA CelebA-HQ LSUN-Church MS-COCO

Metrics: FID CLIP score speedup

Baselines: DeepCache PFDiff AYS LCM-SDXL DDIM DDPM DPM-Solver

Builds on: DDIM DPM-Solver Latent Diffusion / Stable Diffusion LoRA Latent Consistency Models

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