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Morse: Dual-Sampling for Lossless Acceleration of Diffusion Models
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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
- Morse yields lossless speedups of 1.78x to 3.31x on average over 9 baseline diffusion models across 6 image generation tasks (per abstract).
- On MS-COCO with Stable Diffusion v1.4, Morse gives an average speedup of 2.29x in best-FID comparison.
- With LCM-SDXL, Morse achieves an average speedup of 1.43x on CLIP score over 1 to 4 sampling steps.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add Morse | Stable Diffusion v1.4 · MS-COCO, 10 LSDs, guidance scale 7.5 | FID: 11.75 -> 9.29 | Helped |
| Add Morse | Stable Diffusion v1.4 · MS-COCO, best guidance scale, 10 LSDs | FID: 10.65 -> 8.60 | Helped |
| Add Morse instead of PFDiff | Stable Diffusion v1.4 · MS-COCO, 10 LSDs | FID: 13.06 -> 11.67 | Helped |
| Add Morse instead of AYS | DDIM · ImageNet 64×64, 10 LSDs | FID: 29.23 -> 25.76 | Helped |
| Add Morse | LCM-SDXL · MS-COCO, text-to-image | CLIP score: 30.80 -> 30.83 | Helped |
| Add trajectory information to Dot (sample, noise estimate, and time step from Dash) (ablation) | Morse · CIFAR-10, DDIM, 10 LSDs | FID: 13.56 -> 6.60 | Helped |
| Add the Dash trajectory sample as Dot input (ablation) | Morse · CIFAR-10, DDIM, 10 LSDs | FID: 13.56 -> 7.50 | Helped |
| Add the Dash trajectory time step as Dot input (ablation) | Morse · CIFAR-10, DDIM, 10 LSDs | FID: 13.56 -> 8.11 | Helped |
| Add the Dash trajectory noise estimate as Dot input (ablation) | Morse · CIFAR-10, DDIM, 10 LSDs | FID: 13.56 -> 8.06 | Helped |
| Use trainable sampling blocks instead of direct resolution transformation (ablation) | Morse Dot for Stable Diffusion · MS-COCO, 10 LSDs, best guidance scale | FID: 370.79 -> 9.23 | Helped |
| Add LoRA for Dot training (ablation) | Morse Dot for Stable Diffusion · MS-COCO, 10 LSDs, best guidance scale | FID: 370.79 -> 9.79 | Helped |
| Use trainable sampling blocks and LoRA together (ablation) | Morse Dot for Stable Diffusion · MS-COCO, 10 LSDs, best guidance scale | FID: 9.23 -> 8.60; 9.79 -> 8.60 | Helped |
Surprising findings
- Without trajectory information, the Dot model cannot accelerate diffusion models, since its estimates are inferior.
- Speedups sharply drop below 1.0x when more than about 70% of steps are exchanged to Dot.
Limitations
- Adds an extra Dot model with trainable parameters (e.g., 97.84M for Stable Diffusion), which adds deployment overhead.
- Speedup depends on the Dot-to-Dash latency ratio N and degrades when too many steps are handled by Dot.
- On Stable Diffusion, FID does not improve monotonically with step count, so some evaluation schemes needed custom selection.
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
Closest papers by meaning
- A Simple Early Exiting Framework for Accelerated Sampling in Diffusion Models (ICML 2024 · similarity 0.92)
- T-Stitch: Accelerating Sampling in Pre-Trained Diffusion Models with Trajectory Stitching (ICLR 2025 · similarity 0.90)
- Faster Diffusion: Rethinking the Role of the Encoder for Diffusion Model Inference (NeurIPS 2024 · similarity 0.90)
- Dual-Rate Diffusion: Accelerating diffusion models with an interleaved heavy-light network (NeurIPS 2026 · similarity 0.90)
- Tortoise and Hare Guidance: Accelerating Diffusion Model Inference with Multirate Integration (NeurIPS 2025 · similarity 0.90)
- TADA: Improved Diffusion Sampling with Training-free Augmented DynAmics (NeurIPS 2025 · similarity 0.90)
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