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Unveil Inversion and Invariance in Flow Transformer for Versatile Image Editing
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Proposes a tuning-free image editing framework for flow transformers (SD3.5 MM-DiT) with a two-stage Euler rectified-flow inversion (fixed-point velocity refinement plus per-step velocity compensation) and AdaLN text-feature replacement for invariance control.
Problem
Tuning-free image editing with flow-based transformer text-to-image models is hampered by poor Euler inversion (worse than DDIM inversion in diffusion) and by invariance-control methods built for U-Net attention that cannot reconcile rigid and non-rigid edits.
Approach
Analyze Euler inversion as a DDIM-like first-order solver that suffers more from velocity approximation error, and fix it with fixed-point iteration plus per-step velocity compensation; for invariance, replace unedited-token text features inside MM-DiT's AdaLN modulation (before timestep S) rather than injecting self-attention maps.
Key results
- On PIE benchmark, the method reaches PSNR 26.62, SSIM 91.50 and CLIP Whole 25.74 with structure distance 18.17, versus RFinv structure distance 32.62 and PnP 24.29.
- Fixed-point iteration ablation: structure distance drops from 48.49 (plain Euler, Iter 0) to 14.92 (Iter 3), with PSNR rising from 20.78 to 27.51.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add fixed-point iteration to Euler inversion (0 to 1 iteration) (ablation) | Two-stage flow inversion · PIE benchmark | PSNR: 20.78 -> 26.98 | Helped |
| Add fixed-point iteration to Euler inversion (0 to 1 iteration) (ablation) | Two-stage flow inversion · PIE benchmark | CLIP Similarity (Edited): 21.39 -> 21.47 | Helped |
| Increase fixed-point iterations from 1 to 3 (ablation) | Two-stage flow inversion · PIE benchmark | CLIP Similarity (Edited): 21.47 -> 21.73 | Helped |
| Increase fixed-point iterations from 1 to 3 (ablation) | Two-stage flow inversion · PIE benchmark | PSNR: 26.98 -> 27.51 | Helped |
| Replace unchanged text features in AdaLN while keeping edited text features intact | MM-DiT image editing · Versatile rigid and non-rigid editing | Editing flexibility and preservation of non-target contents | Helped |
| Use self-attention injection for more than 20% of timesteps | MM-DiT image editing · Non-rigid editing, including sitting to standing | Non-rigid editing ability | Hurt |
Surprising findings
- Plain Euler inversion on SD3.5 performs worse than DDIM inversion on SD1.5 despite the similar formulation, as shown in Figure 3.
Limitations
- Invariance control relies on the inversion matching the generation process; out-of-domain real images yield poor inversion and editing.
- Fixed-point iteration increases computation by requiring more transformer inferences.
Experimental setup
Datasets: PIE benchmark
Benchmarks: PIE benchmark
Metrics: PSNR LPIPS MSE SSIM CLIP similarity (whole) CLIP similarity (edited) structure distance
Baselines: P2P PnP MasaCtrl InsP2P InfEdit RFinv
Builds on: DDIM inversion rectified flow Prompt-to-Prompt Plug-and-Play Direct Inversion
Closest papers by meaning
- SplitFlow: Flow Decomposition for Inversion-Free Text-to-Image Editing (NeurIPS 2025 · similarity 0.90)
- Stable Flow: Vital Layers for Training-Free Image Editing (CVPR 2025 · similarity 0.90)
- Semantic Image Inversion and Editing using Rectified Stochastic Differential Equations (ICLR 2025 · similarity 0.89)
- Taming Rectified Flow for Inversion and Editing (ICML 2025 · similarity 0.89)
- Inversion-Free Image Editing with Language-Guided Diffusion Models (CVPR 2024 · similarity 0.89)
- EditInfinity: Image Editing with Binary-Quantized Generative Models (NeurIPS 2025 · similarity 0.88)
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