Gaussian Shading: Provable Performance-Lossless Image Watermarking for Diffusion Models
On the map: Diffusion models → Robustness, privacy and adversarial aspects
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Abstract (arXiv)
Ethical concerns surrounding copyright protection and inappropriate content generation pose challenges for the practical implementation of diffusion models. One effective solution involves watermarking the generated images. However, existing methods often compromise the model performance or require additional training, which is undesirable for operators and users. To address this issue, we propose Gaussian Shading, a diffusion model watermarking technique that is both performance-lossless and training-free, while serving the dual purpose of copyright protection and tracing of offending content. Our watermark embedding is free of model parameter modifications and thus is plug-and-play. We map the watermark to latent representations following a standard Gaussian distribution, which is indistinguishable from latent representations obtained from the non-watermarked diffusion model. Therefore we can achieve watermark embedding with lossless performance, for which we also provide theoretical proof. Furthermore, since the watermark is intricately linked with image semantics, it exhibits resilience to lossy processing and erasure attempts. The watermark can be extracted by Denoising Diffusion Implicit Models (DDIM) inversion and inverse sampling. We evaluate Gaussian Shading on multiple versions of Stable Diffusion, and the results demonstrate that Gaussian Shading not only is performance-lossless but also outperforms existing methods in terms of robustness.
Key facts. Cited by 142 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 15 of its 19 references that are in the map. First posted on arXiv 7 Apr 2024.
Builds on
15 of 19 references.
Closest ancestors · 2
Same direction, newest first
- 2023Tree-Ring Watermarks: Fingerprints for Diffusion Images that are Invisible and Robust31 May
- 2023The Stable Signature: Rooting Watermarks in Latent Diffusion Models27 Mar
Other references · 13
- 2021Learning Transferable Visual Models From Natural Language Supervisioncited by 33,744
- 2020Denoising Diffusion Probabilistic Modelscited by 21,076
- 2021High-Resolution Image Synthesis with Latent Diffusion Modelscited by 18,863
- 2014Microsoft COCO: Common Objects in Contextcited by 17,608
- 2020Denoising Diffusion Implicit Modelscited by 9,781
- 2022DPM-Solver: A Fast ODE Solver for Diffusion Probabilistic Model Sampling in Around 10 Stepscited by 1,979
- 2022Reproducible scaling laws for contrastive language-image learningcited by 1,173
- 2022Pseudo Numerical Methods for Diffusion Models on Manifoldscited by 700
- 2022Fast Sampling of Diffusion Models with Exponential Integratorcited by 532
- 2023UniPC: A Unified Predictor-Corrector Framework for Fast Sampling of Diffusion Modelscited by 450
- 2018HiDDeN: Hiding Data With Deep Networkscited by 397
- 2020Artificial Fingerprinting for Generative Models: Rooting Deepfake Attribution in Training Datacited by 201
1 more
- 2019Robust Invisible Video Watermarking with Attentioncited by 149
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Citing papers per year: 2024: 20; 2025: 52; 2026: 70.
142 papers.
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- 2024Robust Watermarking Using Generative Priors Against Image Editing: From Benchmarking to Advancescited by 110
- 2024An Undetectable Watermark for Generative Image Modelscited by 81
- 2024Black-Box Forgery Attacks on Semantic Watermarks for Diffusion Modelscited by 52
- 2024SoK: Watermarking for AI-Generated Contentcited by 51
- 2024Image Watermarks are Removable Using Controllable Regeneration from Clean Noisecited by 50
- 2025VideoShield: Regulating Diffusion-based Video Generation Models via Watermarkingcited by 34
- 2024WMAdapter: Adding WaterMark Control to Latent Diffusion Modelscited by 31
- 2025SynthID-Image: Image watermarking at internet scalecited by 31
- 2024Hidden in the Noise: Two-Stage Robust Watermarking for Imagescited by 21
- 2025GaussMarker: Robust Dual-Domain Watermark for Diffusion Modelscited by 16
- 2025Watermarking Autoregressive Image Generationcited by 16
- 2025SEAL: Semantic Aware Image Watermarkingcited by 15
38 more
- 2025Pixel Seal: Adversarial-only training for invisible image and video watermarkingcited by 15
- 2024SoK: On the Role and Future of AIGC Watermarking in the Era of Gen-AIcited by 14
- 2025Semantic Watermarking Reinvented: Enhancing Robustness and Generation Quality with Fourier Integritycited by 14
- 2025Forging and Removing Latent-Noise Diffusion Watermarks Using a Single Imagecited by 13
- 2025Safe-Sora: Safe Text-to-Video Generation via Graphical Watermarkingcited by 11
- 2024Steganalysis on Digital Watermarking: Is Your Defense Truly Impervious?cited by 10
- 2025Watermarking Diffusion Language Modelscited by 10
- 2025On the Difficulty of Constructing a Robust and Publicly-Detectable Watermarkcited by 9
- 2026Breaking Semantic-Aware Watermarks via LLM-Guided Coherence-Preserving Semantic Injectioncited by 8
- 2024AI-generated Image Detection: Passive or Watermark?cited by 7
- 2025A Baseline Method for Removing Invisible Image Watermarks using Deep Image Priorcited by 7
- 2025TAG-WM: Tamper-Aware Generative Image Watermarking via Diffusion Inversion Sensitivitycited by 7
- 2025Removal Attack and Defense on AI-generated Content Latent-based Watermarkingcited by 7
- 2025Geometric Image Synchronization with Deep Watermarkingcited by 7
- 2026SLICE: Semantic Latent Injection via Compartmentalized Embedding for Image Watermarkingcited by 7
- 2024FoldMark: Protecting Protein Generative Models with Watermarkingcited by 6
- 2025WMCopier: Forging Invisible Image Watermarks on Arbitrary Imagescited by 6
- 2025NoisePrints: Distortion-Free Watermarks for Authorship in Private Diffusion Modelscited by 6
- 2024MarkPlugger: Generalizable Watermark Framework for Latent Diffusion Models without Retrainingcited by 5
- 2025Video Signature: Implicit Watermarking for Video Diffusion Modelscited by 5
- 2025A Watermark for Auto-Regressive Image Generation Modelscited by 5
- 2025AEDR: Training-Free AI-Generated Image Attribution via Autoencoder Double-Reconstructioncited by 5
- 2025MarkDiffusion: An Open-Source Toolkit for Generative Watermarking of Latent Diffusion Modelscited by 5
- 2025Guidance Watermarking for Diffusion Modelscited by 5
- 2025Secure and Robust Watermarking for AI-generated Images: A Comprehensive Surveycited by 5
- 2026TRACE: A Two-Channel Robust Attribution Watermark via Complementary Embeddings for LLM-Agent Trajectoriescited by 5
- 2024The Brittleness of AI-Generated Image Watermarking Techniques: Examining Their Robustness Against Visual Paraphrasing Attackscited by 4
- 2024SuperMark: Robust and Training-free Image Watermarking via Diffusion-based Super-Resolutioncited by 4
- 2025Secure and Efficient Watermarking for Latent Diffusion Models in Model Distribution Scenarioscited by 4
- 2025GaussianSeal: Rooting Adaptive Watermarks for 3D Gaussian Generation Modelcited by 4
- 2025A Crack in the Bark: Leveraging Public Knowledge to Remove Tree-Ring Watermarkscited by 4
- 2025Mitigating Watermark Forgery in Generative Models via Randomized Key Selectioncited by 4
- 2025ImageSentinel: Protecting Visual Datasets from Unauthorized Retrieval-Augmented Image Generationcited by 4
- 2026SemBind: Binding Diffusion Watermarks to Semantics Against Black-Box Forgery Attackscited by 4
- 2026MarkSweep: A No-box Removal Attack on AI-Generated Image Watermarking via Noise Intensification and Frequency-aware Denoisingcited by 4
- 2026SHIFT: Stochastic Hidden-Trajectory Deflection for Removing Diffusion-based Watermarkcited by 4
- 2024Plug-and-Hide: Provable and Adjustable Diffusion Generative Steganographycited by 3
- 2025Towards A Correct Usage of Cryptography in Semantic Watermarks for Diffusion Modelscited by 3
50 most cited of 142 All 142 (JSON)
- 2026WaveMark: Robust Wavelet-Domain Image Watermarking for Diffusion Models9 Oct 2026
- 2026Rethinking Visual Provenance: Detection and Watermarking Across Direct Visual Generation and LLM-Driven Code Rendering6 Oct 2026
- 2026Certification of Real Images through Calibrated Content Authentication5 Oct 2026
- 2026LiBRA: Detection-Aware Image Watermark Removal via Bidirectional Latent Optimization2 Oct 2026
- 2026Exploring Weaknesses of Generative Image Watermarks against Latent Frequency Masking1 Oct 2026
- 2026WARP: A Unified Benchmark for Invisible Image Watermarking -- Robustness and Protection Against Attacks30 Sep 2026
- 2026Semantic Watermarking for Malicious Image Manipulation Detection30 Sep 2026
- 2026Trustworthy synthetic visual media: Evidence across the media lifecycle28 Sep 2026
- 2026Residual Transferability in Neural Image Watermarking26 Sep 2026
- 2026FeatMark: Feature-level Watermark Protection against Mimicry Attacks with Diffusion Models25 Sep 2026
- 2026On the Information-Theoretic Limits of Latent-Space Watermarking Through Pretrained Generators21 Sep 2026
- 2026An Efficient and Effective Watermarking Scheme for the Protection of the Intellectual Property Rights of Video Generative Models20 Sep 2026
38 more
- 2026RemTraceNet: Few-Shot Forensic Detection of Invisible Watermark Attacks18 Sep 2026
- 2026Disentangle and Drop: Robust Universal Removal of Image Watermarks via Reconstructive Grayscale Residual Decomposition18 Sep 2026
- 2026COVER: Codec-Robust Video Watermarking with Generative Video Priors17 Sep 2026
- 2026Forging Tree-Ring: Reproducing and Instrumenting Black-Box Semantic Watermark Forgery11 Sep 2026
- 2026AngelFingerprint: A Traceable, Explainable, and White-Box Stealthy Watermark for Text-Guided Image Editing4 Sep 2026
- 2026One Prompt Is Enough: Watermark Laundering Through Foundation Image Models1 Sep 2026
- 2026Membership is Ownership: A Robust Ownership Verification Framework for Diffusion Models28 Aug 2026
- 2026IP Protection in the Era of Visual Generative AI: A Survey13 Aug 2026
- 2026MarkNull: Model-Agnostic Watermark Removal in AI-Generated Images via On-Manifold Latent Manipulation10 Aug 2026
- 2026SpreadMark: Robust Image Watermarking via Spread-Spectrum Embedding4 Aug 2026
- 2026CASIAL: Geometric Distortion Robust Image Watermarking29 Jul 2026
- 2026DNA: Dual-stage Native Attribution for Generated Image Source Tracing15 Jul 2026
- 2026Watermark Forensics for Generative Models: An Information-Theoretic Perspective14 Jul 2026
- 2026TRACE: A Two-Channel Robust Attribution Watermark via Complementary Embeddings for LLM-Agent Trajectories9 Jul 2026
- 2026Rethinking Forgery Attacks on Semantic Watermarks in Black-Box Settings: A Geometric Distortion Perspective29 Jun 2026
- 2026GoodDiffusion: Proactive Copyright Protection for Diffusion Bridge Models via Learnable Sample-specific Signatures29 Jun 2026
- 2026FedOT: Ownership Verification and Leakage Tracing via Watermarks for Federated LDMs22 Jun 2026
- 2026Cert-LAS: Toward Certified Model Ownership Verification for Text-to-Image Diffusion Models via Layer-Adaptive Smoothing28 May 2026
- 2026LoRA-Key: User-Centric LoRA Watermarking for Text-to-Image Diffusion Models28 May 2026
- 2026Verifiable Provenance and Watermarking for Generative AI: An Evidentiary Framework for International Operational Law and Domestic Courts20 May 2026
- 2026Position: AI/ML Deepfake Research is Misaligned with AI-Generated Non-Consensual Intimate Imagery (AIG-NCII)16 May 2026
- 2026Watermarking Should Be Treated as a Monitoring Primitive13 May 2026
- 2026PGID: Progressive Guided Inversion and Denoising for Robust Watermark Detection10 May 2026
- 2026GIFGuard: Proactive Forensics against Deepfakes in Facial GIFs via Spatiotemporal Watermarking29 Apr 2026
- 2026Splats in Splats++: Robust and Generalizable 3D Gaussian Splatting Steganography17 Apr 2026
- 2026Who Gets Flagged? The Pluralistic Evaluation Gap in AI Content Watermarking15 Apr 2026
- 2026On the Robustness of Watermarking for Autoregressive Image Generation13 Apr 2026
- 2026UniMark: Unified Adaptive Multi-bit Watermarking for Autoregressive Image Generators12 Apr 2026
- 2026Towards Robust Content Watermarking Against Removal and Forgery Attacks8 Apr 2026
- 2026SHIFT: Stochastic Hidden-Trajectory Deflection for Removing Diffusion-based Watermark31 Mar 2026
- 2026Understanding Semantic Perturbations on In-Processing Generative Image Watermarks29 Mar 2026
- 2026Gaussian Shannon: High-Precision Diffusion Model Watermarking Based on Communication27 Mar 2026
- 2026High-Fidelity Face Content Recovery via Tamper-Resilient Versatile Watermarking25 Mar 2026
- 2026SLICE: Semantic Latent Injection via Compartmentalized Embedding for Image Watermarking13 Mar 2026
- 2026SERUM: Simple, Efficient, Robust, and Unifying Marking for Diffusion-based Image Generation11 Mar 2026
- 2026PRoADS: Provably Secure and Robust Audio Diffusion Steganography with latent optimization and backward Euler Inversion11 Mar 2026
- 2026ShapeMark: Robust and Diversity-Preserving Watermarking for Diffusion Models10 Mar 2026
- 2026mAVE: A Watermark for Joint Audio-Visual Generation Models7 Mar 2026
50 newest of 142 All 142 (JSON)
- 2024An Undetectable Watermark for Generative Image Modelscited by 81
- 2024Black-Box Forgery Attacks on Semantic Watermarks for Diffusion Modelscited by 52
- 2025VideoShield: Regulating Diffusion-based Video Generation Models via Watermarkingcited by 34
- 2024WMAdapter: Adding WaterMark Control to Latent Diffusion Modelscited by 31
- 2025GaussMarker: Robust Dual-Domain Watermark for Diffusion Modelscited by 16
- 2025Semantic Watermarking Reinvented: Enhancing Robustness and Generation Quality with Fourier Integritycited by 14
- 2025Forging and Removing Latent-Noise Diffusion Watermarks Using a Single Imagecited by 13
- 2025Watermarking Diffusion Language Modelscited by 10
- 2026Breaking Semantic-Aware Watermarks via LLM-Guided Coherence-Preserving Semantic Injectioncited by 8
- 2026SLICE: Semantic Latent Injection via Compartmentalized Embedding for Image Watermarkingcited by 7
- 2025NoisePrints: Distortion-Free Watermarks for Authorship in Private Diffusion Modelscited by 6
- 2024MarkPlugger: Generalizable Watermark Framework for Latent Diffusion Models without Retrainingcited by 5
12 most cited of 54 All 54 (JSON)
- 2026WaveMark: Robust Wavelet-Domain Image Watermarking for Diffusion Models9 Oct 2026
- 2026FeatMark: Feature-level Watermark Protection against Mimicry Attacks with Diffusion Models25 Sep 2026
- 2026Forging Tree-Ring: Reproducing and Instrumenting Black-Box Semantic Watermark Forgery11 Sep 2026
- 2026AngelFingerprint: A Traceable, Explainable, and White-Box Stealthy Watermark for Text-Guided Image Editing4 Sep 2026
- 2026Membership is Ownership: A Robust Ownership Verification Framework for Diffusion Models28 Aug 2026
- 2026DNA: Dual-stage Native Attribution for Generated Image Source Tracing15 Jul 2026
- 2026Rethinking Forgery Attacks on Semantic Watermarks in Black-Box Settings: A Geometric Distortion Perspective29 Jun 2026
- 2026FedOT: Ownership Verification and Leakage Tracing via Watermarks for Federated LDMs22 Jun 2026
- 2026Cert-LAS: Toward Certified Model Ownership Verification for Text-to-Image Diffusion Models via Layer-Adaptive Smoothing28 May 2026
- 2026LoRA-Key: User-Centric LoRA Watermarking for Text-to-Image Diffusion Models28 May 2026
- 2026Gaussian Shannon: High-Precision Diffusion Model Watermarking Based on Communication27 Mar 2026
- 2026SLICE: Semantic Latent Injection via Compartmentalized Embedding for Image Watermarking13 Mar 2026
12 newest of 54 All 54 (JSON)
- 2024Robust Watermarking Using Generative Priors Against Image Editing: From Benchmarking to Advancescited by 110
- 2024SoK: Watermarking for AI-Generated Contentcited by 51
- 2025Watermarking Autoregressive Image Generationcited by 16
- 2024SoK: On the Role and Future of AIGC Watermarking in the Era of Gen-AIcited by 14
- 2025Safe-Sora: Safe Text-to-Video Generation via Graphical Watermarkingcited by 11
- 2024AI-generated Image Detection: Passive or Watermark?cited by 7
- 2025TAG-WM: Tamper-Aware Generative Image Watermarking via Diffusion Inversion Sensitivitycited by 7
- 2025Removal Attack and Defense on AI-generated Content Latent-based Watermarkingcited by 7
- 2024FoldMark: Protecting Protein Generative Models with Watermarkingcited by 6
- 2025A Watermark for Auto-Regressive Image Generation Modelscited by 5
- 2025Secure and Robust Watermarking for AI-generated Images: A Comprehensive Surveycited by 5
- 2025GaussianSeal: Rooting Adaptive Watermarks for 3D Gaussian Generation Modelcited by 4
12 most cited of 43 All 43 (JSON)
- 2026Rethinking Visual Provenance: Detection and Watermarking Across Direct Visual Generation and LLM-Driven Code Rendering6 Oct 2026
- 2026Exploring Weaknesses of Generative Image Watermarks against Latent Frequency Masking1 Oct 2026
- 2026On the Information-Theoretic Limits of Latent-Space Watermarking Through Pretrained Generators21 Sep 2026
- 2026An Efficient and Effective Watermarking Scheme for the Protection of the Intellectual Property Rights of Video Generative Models20 Sep 2026
- 2026COVER: Codec-Robust Video Watermarking with Generative Video Priors17 Sep 2026
- 2026One Prompt Is Enough: Watermark Laundering Through Foundation Image Models1 Sep 2026
- 2026MarkNull: Model-Agnostic Watermark Removal in AI-Generated Images via On-Manifold Latent Manipulation10 Aug 2026
- 2026Watermark Forensics for Generative Models: An Information-Theoretic Perspective14 Jul 2026
- 2026GoodDiffusion: Proactive Copyright Protection for Diffusion Bridge Models via Learnable Sample-specific Signatures29 Jun 2026
- 2026Verifiable Provenance and Watermarking for Generative AI: An Evidentiary Framework for International Operational Law and Domestic Courts20 May 2026
- 2026GIFGuard: Proactive Forensics against Deepfakes in Facial GIFs via Spatiotemporal Watermarking29 Apr 2026
- 2026Who Gets Flagged? The Pluralistic Evaluation Gap in AI Content Watermarking15 Apr 2026
12 newest of 43 All 43 (JSON)
- 2024Image Watermarks are Removable Using Controllable Regeneration from Clean Noisecited by 50
- 2025SynthID-Image: Image watermarking at internet scalecited by 31
- 2024Hidden in the Noise: Two-Stage Robust Watermarking for Imagescited by 21
- 2025SEAL: Semantic Aware Image Watermarkingcited by 15
- 2025Pixel Seal: Adversarial-only training for invisible image and video watermarkingcited by 15
- 2024Steganalysis on Digital Watermarking: Is Your Defense Truly Impervious?cited by 10
- 2025On the Difficulty of Constructing a Robust and Publicly-Detectable Watermarkcited by 9
- 2025A Baseline Method for Removing Invisible Image Watermarks using Deep Image Priorcited by 7
- 2025Geometric Image Synchronization with Deep Watermarkingcited by 7
- 2025WMCopier: Forging Invisible Image Watermarks on Arbitrary Imagescited by 6
- 2025AEDR: Training-Free AI-Generated Image Attribution via Autoencoder Double-Reconstructioncited by 5
- 2025"That's another doom I haven't thought about": A User Study on AI Labels as a Safeguard Against Image-Based Misinformationcited by 3
12 most cited of 44 All 44 (JSON)
- 2026Certification of Real Images through Calibrated Content Authentication5 Oct 2026
- 2026LiBRA: Detection-Aware Image Watermark Removal via Bidirectional Latent Optimization2 Oct 2026
- 2026WARP: A Unified Benchmark for Invisible Image Watermarking -- Robustness and Protection Against Attacks30 Sep 2026
- 2026Semantic Watermarking for Malicious Image Manipulation Detection30 Sep 2026
- 2026Trustworthy synthetic visual media: Evidence across the media lifecycle28 Sep 2026
- 2026Residual Transferability in Neural Image Watermarking26 Sep 2026
- 2026RemTraceNet: Few-Shot Forensic Detection of Invisible Watermark Attacks18 Sep 2026
- 2026Disentangle and Drop: Robust Universal Removal of Image Watermarks via Reconstructive Grayscale Residual Decomposition18 Sep 2026
- 2026IP Protection in the Era of Visual Generative AI: A Survey13 Aug 2026
- 2026SpreadMark: Robust Image Watermarking via Spread-Spectrum Embedding4 Aug 2026
- 2026CASIAL: Geometric Distortion Robust Image Watermarking29 Jul 2026
- 2026Position: AI/ML Deepfake Research is Misaligned with AI-Generated Non-Consensual Intimate Imagery (AIG-NCII)16 May 2026
12 newest of 44 All 44 (JSON)
Similar, not cited
Close in wording, no citation either way
- 2025Gaussian Shading++: Rethinking the Realistic Deployment Challenge of Performance-Lossless Image Watermark for Diffusion Models
- 2026Correlation-Aware and Gaussianity-Preserving Robust Latent Angular Watermarking for Diffusion Models
- 2026When Denoising Becomes Unsigning: Theoretical and Empirical Analysis of Watermark Fragility Under Diffusion-Based Image Editing
- 2026RAIN: Region-Aware Inversion Network for Semantic Watermark Extraction
- 2025T2SMark: Balancing Robustness and Diversity in Noise-as-Watermark for Diffusion Models
- 2025Image Watermarking of Generative Diffusion Models
- 2024DiffuseTrace: A Transparent and Flexible Watermarking Scheme for Latent Diffusion Model
- 2026Editing Away the Evidence: Diffusion-Based Image Manipulation and the Failure Modes of Robust Watermarking