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Consistency Diffusion Bridge Models
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Proposes consistency diffusion bridge models (CDBM) that learn the PF-ODE consistency function of diffusion denoising bridge models via distillation (CBD) or training (CBT), enabling 4x-50x faster sampling than DDBM.
Problem
DDBM sampling requires hundreds of network evaluations, limiting practical deployment for coupled-data generation tasks such as image-to-image translation and inpainting.
Approach
Extends consistency models to diffusion denoising bridges by learning the consistency function of the bridge PF-ODE, using a unified noise-schedule/parameterization view and a general-form first-order exponential-integrator bridge ODE solver, with both a distillation (CBD) and a training (CBT) paradigm that connects them.
Key results
- On Edges→Handbags (64x64), CBT with NFE=2 reaches FID 0.80, better than DDBM at NFE=100 (FID 0.89) with ODE-1 solver.
- On DIODE-Outdoor (256x256), CBT at NFE=2 achieves FID 2.93 vs. DDBM ODE-1 at NFE=100 with FID 2.57 (close), and CBD achieves FID 3.66.
- Fine-tuning DDBM with CBT generally outperforms CBD across the three datasets; CBT at NFE=4 matches DDBM at NFE=10 on ImageNet inpainting.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use CBD with two function evaluations instead of DDBM ODE-1 with 100 evaluations | DDBM on Edges→Handbags · Edges→Handbags (64 × 64) | FID: 0.89 -> 1.30 | Hurt |
| Use CBT with two function evaluations instead of DDBM ODE-1 with 100 evaluations | DDBM on Edges→Handbags · Edges→Handbags (64 × 64) | FID: 0.89 -> 0.80 | Helped |
| Use CBD with two function evaluations instead of DDBM ODE-1 with 100 evaluations | DDBM on DIODE-Outdoor · DIODE-Outdoor (256 × 256) | FID: 2.57 -> 3.66 | Hurt |
| Use CBT with two function evaluations instead of DDBM ODE-1 with 100 evaluations | DDBM on DIODE-Outdoor · DIODE-Outdoor (256 × 256) | FID: 2.57 -> 2.93 | Hurt |
| Fine-tune the pretrained DDBM with CBT rather than distill it with CBD | CDBM · Edges→Handbags (64 × 64) | FID: 1.30 -> 0.80 | Helped |
| Fine-tune the pretrained DDBM with CBT rather than distill it with CBD | CDBM · DIODE-Outdoor (256 × 256) | FID: 3.66 -> 2.93 | Helped |
Surprising findings
- Fine-tuning a pretrained bridge model with consistency bridge training outperforms distillation with a pretrained score model in all three datasets.
- The original DDBM bridge ODE has a singularity at the starting point x_T, so the ODE must start from T-gamma after a stochastic step.
Limitations
- Experiments limited to relatively small datasets; performance on larger or more complex datasets unexplored.
- Consistency model training suffers from numerical instability.
- CBD requires careful tuning of timestep interval Δt or b to ensure stable training.
Experimental setup
Datasets: Edges→Handbags DIODE-Outdoor ImageNet
Benchmarks: Edges→Handbags DIODE-Outdoor ImageNet 256x256 inpainting
Metrics: FID IS LPIPS MSE classifier accuracy
Baselines: Pix2Pix DDIB SDEdit Rectified Flow I2SB DDBM
Builds on: consistency models denoising diffusion bridge models EDM Bridge-TTS I2SB DBIM
Closest papers by meaning
- Denoising Diffusion Bridge Models (ICLR 2024 · similarity 0.94)
- Diffusion Bridge Implicit Models (ICLR 2025 · similarity 0.94)
- Truncated Consistency Models (ICLR 2025 · similarity 0.91)
- SCott: Accelerating Diffusion Models with Stochastic Consistency Distillation (AAAI 2025 · similarity 0.90)
- Simplifying, Stabilizing and Scaling Continuous-time Consistency Models (ICLR 2025 · similarity 0.89)
- Consistency Trajectory Models: Learning Probability Flow ODE Trajectory of Diffusion (ICLR 2024 · similarity 0.89)
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