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Prompt-tuning Latent Diffusion Models for Inverse Problems
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Proposes P2L, which jointly tunes the null/text embedding on-the-fly during latent diffusion posterior sampling and projects latents onto the encoder's range via a proximal step, improving LDM-based inverse problem solving on FFHQ and ImageNet at 512x512.
Problem
Latent diffusion models for imaging inverse problems typically use a fixed null text prompt, which yields suboptimal reconstructions; LDM latents also drift off the encoder's range, causing artifacts.
Approach
Alternate between optimizing the text embedding on-the-fly to fit the measurement and updating the latent, plus periodically projecting the clean latent onto the range space of the VAE encoder via a proximal data-consistency step.
Key results
- On FFHQ SR x8, P2L reaches FID 31.23 vs 36.04 for the best LDIS baseline (LDIR) and LDPS 36.81.
- On FFHQ inpainting, P2L FID 26.27 vs 37.23 for LDIR-class baselines (about 10 FID gain in deblurring and inpainting).
- Ablation on FFHQ SR x8 shows prompt tuning and projection each improve FID (61.16 to 58.73 and 55.91 respectively), and combined reaches 52.96.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Optimize the text embedding on-the-fly instead of using the null prompt (ablation) | LDPS · FFHQ, SR ×8 | FID: 61.16 -> 58.73 | Helped |
| Add encoder-range projection while retaining prompt tuning (ablation) | P2L · FFHQ, SR ×8 | FID: 58.73 -> 52.96 | Helped |
| Add the proximal Γ update before encoder-range projection (ablation) | P2L with range projection · FFHQ, SR ×8 | FID: 55.91 -> 55.68 | Helped |
| Use prompt tuning, encoder-range projection, and proximal Γ together (ablation) | P2L · FFHQ inpainting | FID: 52.34 -> 46.92 | Helped |
| Replace proximal Γ with gluing (ablation) | P2L projection · FFHQ SR ×8, σ_y=0.05 | FID: 65.90 -> 68.99 | Hurt |
| Optimize prompt embeddings for 5 iterations with learning rate 1e-3 (ablation) | P2L prompt tuning · FFHQ SR ×8, 256 test images | FID: 61.16 -> 62.67 | Hurt |
| Use P2L instead of the strongest listed baseline | Stable Diffusion v1.4 inverse problem solver · FFHQ motion deblurring | FID: 24.40 -> 28.34 | Hurt |
| Use P2L instead of the strongest listed baseline | Stable Diffusion v1.4 inverse problem solver · FFHQ Gaussian deblurring | PSNR: 28.49 -> 26.97 | Hurt |
| Use P2L instead of the strongest listed baseline | Stable Diffusion v1.4 inverse problem solver · ImageNet inpainting | PSNR: 23.28 -> 21.99 | Hurt |
| Use P2L instead of the strongest listed baseline | Stable Diffusion v1.4 inverse problem solver · FFHQ SR ×8 | FID: 36.04 -> 31.23 | Helped |
| Use P2L instead of the strongest listed baseline | Stable Diffusion v1.4 inverse problem solver · FFHQ inpainting | FID: 33.92 -> 26.27 | Helped |
| Use P2L instead of the strongest listed baseline | Stable Diffusion v1.4 inverse problem solver · ImageNet motion deblurring | FID: 59.08 -> 54.11 | Helped |
Surprising findings
- Optimized text embeddings sometimes outperform PALI captions generated from ground-truth images in FID.
- Successive encode-decode of the SD VAE does not reach a fixed point; images diverge even from clean natural images, undermining fixed-point regularization.
Limitations
- Prompt tuning adds extra forward/backward passes through LDM and decoder, increasing compute.
- Optimized continuous CLIP embeddings are not interpretable as discrete text.
- Classifier-free guidance not considered; PSNR slightly lower due to VAE imperfection.
Experimental setup
Datasets: FFHQ 512x512 ImageNet 512x512
Benchmarks: FFHQ 512x512 1k validation ImageNet 512x512 1k validation DIV2K 768x768
Metrics: FID LPIPS PSNR
Baselines: LDPS GML-DPS PSLD LDIR DDS DPS DiffPIR
Builds on: diffusion posterior sampling (DPS) latent diffusion models prompt tuning Adam PALI captioning
Closest papers by meaning
- A Variational Perspective on Solving Inverse Problems with Diffusion Models (ICLR 2024 · similarity 0.90)
- Regularization by Texts for Latent Diffusion Inverse Solvers (ICLR 2025 · similarity 0.90)
- Solving Inverse Problems with Latent Diffusion Models via Hard Data Consistency (ICLR 2024 · similarity 0.90)
- Inference-Time Search Using Side Information for Diffusion-Based Image Reconstruction (NeurIPS 2026 · similarity 0.90)
- Solving Inverse Problems with FLAIR (NeurIPS 2025 · similarity 0.90)
- Beyond First-Order Tweedie: Solving Inverse Problems using Latent Diffusion (CVPR 2024 · similarity 0.89)
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