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Observation-Guided Diffusion Probabilistic Models
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Proposes observation-guided diffusion probabilistic models (OGDM), which add a time-conditioned discriminator-based emission loss during training to make diffusion denoisers more accurate for few-step sampling, with no inference overhead.
Problem
Diffusion models sampled with large step sizes (few NFEs) deviate from the Gaussian reverse-process assumption, so the training objective mismatches the inference negative log-likelihood and quality degrades.
Approach
Introduce an observation process at each diffusion step modeled as a Bernoulli emission (whether a noisy state lies on the real-data manifold), implemented by a time-dependent discriminator that judges one-step-projected denoiser predictions against real data; the resulting extra adversarial-style loss is added to the standard denoising loss, and the discriminator is discarded at inference.
Key results
- On CIFAR-10 with ADM at 10 NFEs, FID improves from 15.20 (baseline) to 11.63 with OGDM trained from scratch.
- On CelebA with ADM at 10 NFEs, FID improves from 11.92 to 7.91 with OGDM.
- With Heun's method and EDM on CIFAR-10 at 11 NFEs, FID drops from 14.71 to 13.54 with OGDM fine-tuning; OGDM with S-PNDM also improves few-step FID across datasets.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add observation-guided training to ADM | ADM · CIFAR-10, 10 NFEs, Euler | FID: 15.20 -> 11.63 | Helped |
| Fine-tune EDM with observation-guided training | EDM · CIFAR-10, 10 NFEs, Euler | FID: 19.32 -> 9.28 | Helped |
| Fine-tune conditional EDM with observation-guided training | EDM cond. · CIFAR-10, 10 NFEs, Euler | FID: 15.57 -> 6.85 | Helped |
| Add observation-guided training to ADM | ADM · CelebA, 10 NFEs, Euler | FID: 11.92 -> 7.91 | Helped |
| Fine-tune LDM with observation-guided training | LDM · LSUN Church, 10 NFEs, Euler | FID: 15.02 -> 14.84 | Helped |
| Fine-tune EDM with observation-guided training | EDM · CIFAR-10, 11 NFEs, Heun | FID: 14.71 -> 13.54 | Helped |
| Fine-tune EDM with observation-guided training | EDM · CIFAR-10, 25 NFEs, Heun | FID: 2.07 -> 2.15 | Hurt |
| Add observation-guided training to ADM | ADM · CIFAR-10, 10 NFEs, S-PNDM | FID: 10.32 -> 7.54 | Helped |
| Fine-tune EDM with observation-guided training | EDM · CIFAR-10, 10 NFEs, S-PNDM | FID: 9.51 -> 4.97 | Helped |
| Fine-tune conditional EDM with observation-guided training | EDM cond. · CIFAR-10, 10 NFEs, S-PNDM | FID: 6.63 -> 3.53 | Helped |
| Add observation-guided training to ADM | ADM · CelebA, 10 NFEs, S-PNDM | FID: 7.33 -> 4.35 | Helped |
| Fine-tune LDM with observation-guided training | LDM · LSUN Church, 10 NFEs, S-PNDM | FID: 9.14 -> 8.68 | Helped |
Surprising findings
- OGDM fine-tuning on EDM at 10 NFEs on CIFAR-10 cuts FID from 19.32 to 9.28, a larger gain than from-scratch training in some settings.
- Gains are not guaranteed when the projection function and sampler are misaligned, e.g. F-PNDM results are mixed.
Limitations
- Training cost is about 80% higher due to the discriminator at equal iterations.
- Benefits depend on alignment between the projection function and the sampler.
- Hyperparameters (k, gamma) were chosen per setup and the observation design is only one of several possible formulations.
Experimental setup
Datasets: CIFAR-10 CelebA LSUN Church
Benchmarks: CIFAR-10 CelebA LSUN Church
Metrics: FID recall
Baselines: ADM EDM S-PNDM F-PNDM DDIM Analytic-DPM FastDPM GENIE CT
Builds on: DDPM DDIM EDM Diffusion-GAN PNDM
Closest papers by meaning
- EVODiff: Entropy-aware Variance Optimized Diffusion Inference (NeurIPS 2025 · similarity 0.89)
- Efficient Denoising Diffusion via Probabilistic Masking (ICML 2024 · similarity 0.89)
- Boosting Diffusion Models with Moving Average Sampling in Frequency Domain (CVPR 2024 · similarity 0.88)
- Plug-and-Play Diffusion Distillation (CVPR 2024 · similarity 0.88)
- A Simple Early Exiting Framework for Accelerated Sampling in Diffusion Models (ICML 2024 · similarity 0.88)
- Warm Diffusion: Recipe for Blur-Noise Mixture Diffusion Models (ICLR 2025 · similarity 0.88)
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