# T2SMark: Balancing Robustness and Diversity in Noise-as-Watermark for Diffusion Models

arXiv: https://arxiv.org/abs/2510.22366 · HTML: https://mlsanity.com/paper/2510.22366/

## Key facts

- Cited by 8 papers in the map (data through 14 Oct 2026).
- Placed in Robustness, privacy and adversarial aspects, one of 14 directions in Diffusion models.
- Builds on 10 of its 36 references that are in the map.
- First posted on arXiv 25 Oct 2025.

## Placed in

- Diffusion models / [Robustness, privacy and adversarial aspects](https://mlsanity.com/diffusion/robustness-privacy-and-adversarial-aspects/)
- LLM safety and security / [Watermarking generated content and models](https://mlsanity.com/safety/watermarking-generated-content-and-models/)

## Builds on (most cited first, 10 of 10)

- [Auto-Encoding Variational Bayes](https://mlsanity.com/paper/1312.6114/) (2013)
- [Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow](https://mlsanity.com/paper/2209.03003/) (2022)
- [DPM-Solver++: Fast Solver for Guided Sampling of Diffusion Probabilistic Models](https://mlsanity.com/paper/2211.01095/) (2022)
- [PixArt-α: Fast Training of Diffusion Transformer for Photorealistic Text-to-Image Synthesis](https://mlsanity.com/paper/2310.00426/) (2023)
- [Sora: A Review on Background, Technology, Limitations, and Opportunities of Large Vision Models](https://mlsanity.com/paper/2402.17177/) (2024)
- [Tree-Ring Watermarks: Fingerprints for Diffusion Images that are Invisible and Robust](https://mlsanity.com/paper/2305.20030/) (2023)
- [Robust Invisible Video Watermarking with Attention](https://mlsanity.com/paper/1909.01285/) (2019)
- [An Undetectable Watermark for Generative Image Models](https://mlsanity.com/paper/2410.07369/) (2024)
- [Black-Box Forgery Attacks on Semantic Watermarks for Diffusion Models](https://mlsanity.com/paper/2412.03283/) (2024)
- [GaussMarker: Robust Dual-Domain Watermark for Diffusion Models](https://mlsanity.com/paper/2506.11444/) (2025)

## Built on by (most cited first, 8 of 8)

- [OSI: One-step Inversion Excels in Extracting Diffusion Watermarks](https://mlsanity.com/paper/2602.09494/) (2026)
- [ShapeMark: Robust and Diversity-Preserving Watermarking for Diffusion Models](https://mlsanity.com/paper/2603.09454/) (2026)
- [MarkNull: Model-Agnostic Watermark Removal in AI-Generated Images via On-Manifold Latent Manipulation](https://mlsanity.com/paper/2608.10166/) (2026)
- [Luminark: Training-free, Probabilistically-Certified Watermarking for General Vision Generative Models](https://mlsanity.com/paper/2601.01085/) (2026)
- [MarkCleaner: High-Fidelity Watermark Removal via Imperceptible Micro-Geometric Perturbation](https://mlsanity.com/paper/2602.01513/) (2026)
- [PGID: Progressive Guided Inversion and Denoising for Robust Watermark Detection](https://mlsanity.com/paper/2605.09319/) (2026)
- [RAIN: Region-Aware Inversion Network for Semantic Watermark Extraction](https://mlsanity.com/paper/2609.14856/) (2026)
- [WaveMark: Robust Wavelet-Domain Image Watermarking for Diffusion Models](https://mlsanity.com/paper/2610.12952/) (2026)

## Abstract (arXiv)

Diffusion models have advanced rapidly in recent years, producing high-fidelity images while raising concerns about intellectual property protection and the misuse of generative AI. Image watermarking for diffusion models, particularly Noise-as-Watermark (NaW) methods, encode watermark as specific standard Gaussian noise vector for image generation, embedding the infomation seamlessly while maintaining image quality. For detection, the generation process is inverted to recover the initial noise vector containing the watermark before extraction. However, existing NaW methods struggle to balance watermark robustness with generation diversity. Some methods achieve strong robustness by heavily constraining initial noise sampling, which degrades user experience, while others preserve diversity but prove too fragile for real-world deployment. To address this issue, we propose T2SMark, a two-stage watermarking scheme based on Tail-Truncated Sampling (TTS). Unlike prior methods that simply map bits to positive or negative values, TTS enhances robustness by embedding bits exclusively in the reliable tail regions while randomly sampling the central zone to preserve the latent distribution. Our two-stage framework then ensures sampling diversity by integrating a randomly generated session key into both encryption pipelines. We evaluate T2SMark on diffusion models with both U-Net and DiT backbones. Extensive experiments show that it achieves an optimal balance between robustness and diversity. Our code is available at hrefhttps://github.com/0xD009/T2SMarkhttps://github.com/0xD009/T2SMark.