Functional Invariants to Watermark Large Transformers
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Abstract (arXiv)
The rapid growth of transformer-based models increases the concerns about their integrity and ownership insurance. Watermarking addresses this issue by embedding a unique identifier into the model, while preserving its performance. However, most existing approaches require to optimize the weights to imprint the watermark signal, which is not suitable at scale due to the computational cost. This paper explores watermarks with virtually no computational cost, applicable to a non-blind white-box setting (assuming access to both the original and watermarked networks). They generate functionally equivalent copies by leveraging the models' invariance, via operations like dimension permutations or scaling/unscaling. This enables to watermark models without any change in their outputs and remains stealthy. Experiments demonstrate the effectiveness of the approach and its robustness against various model transformations (fine-tuning, quantization, pruning), making it a practical solution to protect the integrity of large models.
Key facts. Cited by 14 papers in the map (data through 7 Oct 2026). Builds on 24 of its 37 references that are in the map. First posted on arXiv 17 Oct 2023.
Builds on
24 of 37 references.
References · 24
- 2017Attention Is All You Needcited by 59,932
- 2023GPT-4 Technical Reportcited by 18,132
- 2019Exploring the Limits of Transfer Learning with a Unified Text-to-Text Transformercited by 14,491
- 2023LLaMA: Open and Efficient Foundation Language Modelscited by 13,958
- 2023DINOv2: Learning Robust Visual Features without Supervisioncited by 7,764
- 2020Scaling Laws for Neural Language Modelscited by 6,411
- 2016Layer Normalizationcited by 5,579
- 2021RoFormer: Enhanced Transformer with Rotary Position Embeddingcited by 4,581
- 2023Mistral 7Bcited by 3,065
- 2020GLU Variants Improve Transformercited by 1,724
- 2019Root Mean Square Layer Normalizationcited by 1,425
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12 more
- 2023Scaling Vision Transformers to 22 Billion Parameterscited by 690
- 2018Turning Your Weakness Into a Strength: Watermarking Deep Neural Networks by Backdooringcited by 334
- 2023The Impact of Positional Encoding on Length Generalization in Transformerscited by 319
- 2023The Stable Signature: Rooting Watermarks in Latent Diffusion Modelscited by 289
- 2017Embedding Watermarks into Deep Neural Networkscited by 227
- 2019[Extended version] Rethinking Deep Neural Network Ownership Verification: Embedding Passports to Defeat Ambiguity Attackscited by 82
- 2023WOUAF: Weight Modulation for User Attribution and Fingerprinting in Text-to-Image Diffusion Modelscited by 51
- 2021Protecting Intellectual Property of Generative Adversarial Networks from Ambiguity Attackcited by 45
- 2020Passport-aware Normalization for Deep Model Protectioncited by 42
- 2023Rethinking White-Box Watermarks on Deep Learning Models under Neural Structural Obfuscationcited by 20
- 2020Protect, Show, Attend and Tell: Empowering Image Captioning Models with Ownership Protectioncited by 18
- 2022ROSE: A RObust and SEcure DNN Watermarkingcited by 3
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Citing papers per year: 2024: 6; 2025: 4; 2026: 4.
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- 2024Hey, That's My Model! Introducing Chain & Hash, An LLM Fingerprinting Techniquecited by 34
- 2024REEF: Representation Encoding Fingerprints for Large Language Modelscited by 34
- 2024Watermarking Techniques for Large Language Models: A Surveycited by 20
- 2025Position: LLM Watermarking Should Align Stakeholders' Incentives for Practical Adoptioncited by 7
- 2024MergePrint: Merge-Resistant Fingerprints for Robust Black-box Ownership Verification of Large Language Modelscited by 6
- 2025AWM: Accurate Weight-Matrix Fingerprint for Large Language Modelscited by 3
- 2026AttnDiff: Attention-based Differential Fingerprinting for Large Language Modelscited by 3
- 2024Revisiting Black-Box Model Ownership Verification through Information Theorycited by 2
- 2025Towards the Resistance of Neural Network Watermarking to Fine-tuningcited by 2
- 2026SLAM: Structural Linguistic Activation Marking for Language Modelscited by 1
- 2024Protecting Copyright of Medical Pre-trained Language Models: Training-Free Backdoor Model Watermarkingcited by 0
- 2025Invariant-based Robust Weights Watermark for Large Language Modelscited by 0
- 2026Permutation-Based Stegomalware in Large Language Models: Threats and Countermeasures14 Sep 2026
- 2026SLAM: Structural Linguistic Activation Marking for Language Models6 May 2026
- 2026AttnDiff: Attention-based Differential Fingerprinting for Large Language Models7 Apr 2026
- 2026FNF: Functional Network Fingerprint for Large Language Models30 Jan 2026
- 2025Position: LLM Watermarking Should Align Stakeholders' Incentives for Practical Adoption21 Oct 2025
- 2025AWM: Accurate Weight-Matrix Fingerprint for Large Language Models8 Oct 2025
- 2025Invariant-based Robust Weights Watermark for Large Language Models11 Jul 2025
- 2025Towards the Resistance of Neural Network Watermarking to Fine-tuning2 May 2025
- 2024REEF: Representation Encoding Fingerprints for Large Language Models18 Oct 2024
- 2024MergePrint: Merge-Resistant Fingerprints for Robust Black-box Ownership Verification of Large Language Models11 Oct 2024
- 2024Protecting Copyright of Medical Pre-trained Language Models: Training-Free Backdoor Model Watermarking14 Sep 2024
- 2024Revisiting Black-Box Model Ownership Verification through Information Theory10 Sep 2024
2 more
- 2024Watermarking Techniques for Large Language Models: A Surveycited by 20
- 2025Position: LLM Watermarking Should Align Stakeholders' Incentives for Practical Adoptioncited by 7
- 2024Revisiting Black-Box Model Ownership Verification through Information Theorycited by 2
- 2026SLAM: Structural Linguistic Activation Marking for Language Modelscited by 1
- 2024Protecting Copyright of Medical Pre-trained Language Models: Training-Free Backdoor Model Watermarkingcited by 0
- 2025Invariant-based Robust Weights Watermark for Large Language Modelscited by 0
- 2026SLAM: Structural Linguistic Activation Marking for Language Models6 May 2026
- 2025Position: LLM Watermarking Should Align Stakeholders' Incentives for Practical Adoption21 Oct 2025
- 2025Invariant-based Robust Weights Watermark for Large Language Models11 Jul 2025
- 2024Protecting Copyright of Medical Pre-trained Language Models: Training-Free Backdoor Model Watermarking14 Sep 2024
- 2024Revisiting Black-Box Model Ownership Verification through Information Theory10 Sep 2024
- 2024Watermarking Techniques for Large Language Models: A Survey26 Aug 2024
- 2024Hey, That's My Model! Introducing Chain & Hash, An LLM Fingerprinting Techniquecited by 34
- 2024REEF: Representation Encoding Fingerprints for Large Language Modelscited by 34
- 2024MergePrint: Merge-Resistant Fingerprints for Robust Black-box Ownership Verification of Large Language Modelscited by 6
- 2025AWM: Accurate Weight-Matrix Fingerprint for Large Language Modelscited by 3
- 2025Towards the Resistance of Neural Network Watermarking to Fine-tuningcited by 2
- 2026FNF: Functional Network Fingerprint for Large Language Modelscited by 0
- 2026Permutation-Based Stegomalware in Large Language Models: Threats and Countermeasurescited by 0
- 2026Permutation-Based Stegomalware in Large Language Models: Threats and Countermeasures14 Sep 2026
- 2026FNF: Functional Network Fingerprint for Large Language Models30 Jan 2026
- 2025AWM: Accurate Weight-Matrix Fingerprint for Large Language Models8 Oct 2025
- 2025Towards the Resistance of Neural Network Watermarking to Fine-tuning2 May 2025
- 2024REEF: Representation Encoding Fingerprints for Large Language Models18 Oct 2024
- 2024MergePrint: Merge-Resistant Fingerprints for Robust Black-box Ownership Verification of Large Language Models11 Oct 2024
- 2024Hey, That's My Model! Introducing Chain & Hash, An LLM Fingerprinting Technique15 Jul 2024