Robust Watermarking of Neural Network with Exponential Weighting
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Abstract (arXiv)
Deep learning has been achieving top performance in many tasks. Since training of a deep learning model requires a great deal of cost, we need to treat neural network models as valuable intellectual properties. One concern in such a situation is that some malicious user might redistribute the model or provide a prediction service using the model without permission. One promising solution is digital watermarking, to embed a mechanism into the model so that the owner of the model can verify the ownership of the model externally. In this study, we present a novel attack method against watermark, query modification, and demonstrate that all of the existing watermark methods are vulnerable to either of query modification or existing attack method (model modification). To overcome this vulnerability, we present a novel watermarking method, exponential weighting. We experimentally show that our watermarking method achieves high verification performance of watermark even under a malicious attempt of unauthorized service providers, such as model modification and query modification, without sacrificing the predictive performance of the neural network model.
Key facts. Cited by 48 papers in the map (data through 7 Oct 2026). First posted on arXiv 18 Jan 2019.
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Citing papers per year: 2021: 8; 2022: 8; 2023: 12; 2024: 11; 2025: 7; 2026: 2.
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- 2023A Recipe for Watermarking Diffusion Modelscited by 136
- 2021Proof-of-Learning: Definitions and Practicecited by 81
- 2024Watermarking Techniques for Large Language Models: A Surveycited by 20
- 2023False Claims against Model Ownership Resolutioncited by 17
- 2023Intellectual Property Protection of Diffusion Models via the Watermark Diffusion Processcited by 17
- 2024MEA-Defender: A Robust Watermark against Model Extraction Attackcited by 16
- 2023Identifying Appropriate Intellectual Property Protection Mechanisms for Machine Learning Models: A Systematization of Watermarking, Fingerprinting, Model Access, and Attackscited by 11
- 2024Safe-SD: Safe and Traceable Stable Diffusion with Text Prompt Trigger for Invisible Generative Watermarkingcited by 11
- 2022Watermarking Pre-trained Encoders in Contrastive Learningcited by 10
- 2023Towards Robust Model Watermark via Reducing Parametric Vulnerabilitycited by 10
- 2022SSL-WM: A Black-Box Watermarking Approach for Encoders Pre-trained by Self-supervised Learningcited by 9
- 2023FedRight: An Effective Model Copyright Protection for Federated Learningcited by 8
36 more
- 2021Robust Black-box Watermarking for Deep NeuralNetwork using Inverse Document Frequencycited by 6
- 2021Evaluating the Robustness of Trigger Set-Based Watermarks Embedded in Deep Neural Networkscited by 6
- 2023When Federated Learning meets Watermarking: A Comprehensive Overview of Techniques for Intellectual Property Protectioncited by 6
- 2024Box-Free Model Watermarks Are Prone to Black-Box Removal Attackscited by 6
- 2021Protecting the Intellectual Properties of Deep Neural Networks with an Additional Class and Steganographic Imagescited by 5
- 2021HufuNet: Embedding the Left Piece as Watermark and Keeping the Right Piece for Ownership Verification in Deep Neural Networkscited by 4
- 2022AWEncoder: Adversarial Watermarking Pre-trained Encoders in Contrastive Learningcited by 4
- 2024DeepEclipse: How to Break White-Box DNN-Watermarking Schemescited by 4
- 2022TATTOOED: A Robust Deep Neural Network Watermarking Scheme based on Spread-Spectrum Channel Codingcited by 3
- 2022ROSE: A RObust and SEcure DNN Watermarkingcited by 3
- 2021Don't Forget to Sign the Gradients!cited by 2
- 2021iNNformant: Boundary Samples as Telltale Watermarkscited by 2
- 2022PCPT and ACPT: Copyright Protection and Traceability Scheme for DNN Modelscited by 2
- 2022Mixer: DNN Watermarking using Image Mixupcited by 2
- 2023Neural Dehydration: Effective Erasure of Black-box Watermarks from DNNs with Limited Datacited by 2
- 2023Turn Passive to Active: A Survey on Active Intellectual Property Protection of Deep Learning Modelscited by 2
- 2023Elevating Defenses: Bridging Adversarial Training and Watermarking for Model Resiliencecited by 2
- 2024Revisiting the Information Capacity of Neural Network Watermarks: Upper Bound Estimation and Beyondcited by 2
- 2024Not Just Change the Labels, Learn the Features: Watermarking Deep Neural Networks with Multi-View Datacited by 2
- 2024IDEA: An Inverse Domain Expert Adaptation Based Active DNN IP Protection Methodcited by 2
- 2025THEMIS: Towards Practical Intellectual Property Protection for Post-Deployment On-Device Deep Learning Modelscited by 2
- 2025Boosting Active Defense Persistence: A Two-Stage Defense Framework Combining Interruption and Poisoning Against Deepfakecited by 2
- 2021High-Robustness, Low-Transferability Fingerprinting of Neural Networkscited by 1
- 2023On Function-Coupled Watermarks for Deep Neural Networkscited by 1
- 2024Task-Agnostic Language Model Watermarking via High Entropy Passthrough Layerscited by 1
- 2025PCDiff: Proactive Control for Ownership Protection in Diffusion Models with Watermark Compatibilitycited by 1
- 2025ChainMarks: Securing DNN Watermark with Cryptographic Chaincited by 1
- 2025WGLE:Backdoor-free and Multi-bit Black-box Watermarking for Graph Neural Networkscited by 1
- 2022Seeds Don't Lie: An Adaptive Watermarking Framework for Computer Vision Modelscited by 0
- 2023From Zero to Hero: Detecting Leaked Data through Synthetic Data Injection and Model Queryingcited by 0
- 2024Watermarking Recommender Systemscited by 0
- 2024Watermarking Decision Tree Ensemblescited by 0
- 2025Neural Honeytrace: Plug&Play Watermarking Framework against Model Extraction Attackscited by 0
- 2025Hot-Swap MarkBoard: An Efficient Black-box Watermarking Approach for Large-scale Model Distributioncited by 0
- 2026ArmSSL: Adversarial Robust Black-Box Watermarking for Self-Supervised Learning Pre-trained Encoderscited by 0
- 2026Secure AI Watermarking Framework for IP Protection in Multi-Tenant Cloud Platformscited by 0
- 2026Secure AI Watermarking Framework for IP Protection in Multi-Tenant Cloud Platforms1 Aug 2026
- 2026ArmSSL: Adversarial Robust Black-Box Watermarking for Self-Supervised Learning Pre-trained Encoders24 Apr 2026
- 2025Boosting Active Defense Persistence: A Two-Stage Defense Framework Combining Interruption and Poisoning Against Deepfake11 Aug 2025
- 2025Hot-Swap MarkBoard: An Efficient Black-box Watermarking Approach for Large-scale Model Distribution28 Jul 2025
- 2025WGLE:Backdoor-free and Multi-bit Black-box Watermarking for Graph Neural Networks10 Jun 2025
- 2025ChainMarks: Securing DNN Watermark with Cryptographic Chain8 May 2025
- 2025PCDiff: Proactive Control for Ownership Protection in Diffusion Models with Watermark Compatibility16 Apr 2025
- 2025THEMIS: Towards Practical Intellectual Property Protection for Post-Deployment On-Device Deep Learning Models31 Mar 2025
- 2025Neural Honeytrace: Plug&Play Watermarking Framework against Model Extraction Attacks16 Jan 2025
- 2024Task-Agnostic Language Model Watermarking via High Entropy Passthrough Layers17 Dec 2024
- 2024Watermarking Decision Tree Ensembles6 Oct 2024
- 2024IDEA: An Inverse Domain Expert Adaptation Based Active DNN IP Protection Method29 Sep 2024
36 more
- 2024Watermarking Techniques for Large Language Models: A Survey26 Aug 2024
- 2024Safe-SD: Safe and Traceable Stable Diffusion with Text Prompt Trigger for Invisible Generative Watermarking18 Jul 2024
- 2024Watermarking Recommender Systems17 Jul 2024
- 2024Box-Free Model Watermarks Are Prone to Black-Box Removal Attacks16 May 2024
- 2024Not Just Change the Labels, Learn the Features: Watermarking Deep Neural Networks with Multi-View Data15 Mar 2024
- 2024DeepEclipse: How to Break White-Box DNN-Watermarking Schemes6 Mar 2024
- 2024Revisiting the Information Capacity of Neural Network Watermarks: Upper Bound Estimation and Beyond20 Feb 2024
- 2024MEA-Defender: A Robust Watermark against Model Extraction Attack26 Jan 2024
- 2023Elevating Defenses: Bridging Adversarial Training and Watermarking for Model Resilience21 Dec 2023
- 2023Turn Passive to Active: A Survey on Active Intellectual Property Protection of Deep Learning Models15 Oct 2023
- 2023From Zero to Hero: Detecting Leaked Data through Synthetic Data Injection and Model Querying6 Oct 2023
- 2023Towards Robust Model Watermark via Reducing Parametric Vulnerability9 Sep 2023
- 2023Neural Dehydration: Effective Erasure of Black-box Watermarks from DNNs with Limited Data7 Sep 2023
- 2023When Federated Learning meets Watermarking: A Comprehensive Overview of Techniques for Intellectual Property Protection7 Aug 2023
- 2023Intellectual Property Protection of Diffusion Models via the Watermark Diffusion Process6 Jun 2023
- 2023Identifying Appropriate Intellectual Property Protection Mechanisms for Machine Learning Models: A Systematization of Watermarking, Fingerprinting, Model Access, and Attacks22 Apr 2023
- 2023False Claims against Model Ownership Resolution13 Apr 2023
- 2023FedRight: An Effective Model Copyright Protection for Federated Learning18 Mar 2023
- 2023A Recipe for Watermarking Diffusion Models17 Mar 2023
- 2023On Function-Coupled Watermarks for Deep Neural Networks8 Feb 2023
- 2022Mixer: DNN Watermarking using Image Mixup6 Dec 2022
- 2022Seeds Don't Lie: An Adaptive Watermarking Framework for Computer Vision Models24 Nov 2022
- 2022SSL-WM: A Black-Box Watermarking Approach for Encoders Pre-trained by Self-supervised Learning8 Sep 2022
- 2022AWEncoder: Adversarial Watermarking Pre-trained Encoders in Contrastive Learning8 Aug 2022
- 2022ROSE: A RObust and SEcure DNN Watermarking22 Jun 2022
- 2022PCPT and ACPT: Copyright Protection and Traceability Scheme for DNN Models6 Jun 2022
- 2022TATTOOED: A Robust Deep Neural Network Watermarking Scheme based on Spread-Spectrum Channel Coding12 Feb 2022
- 2022Watermarking Pre-trained Encoders in Contrastive Learning20 Jan 2022
- 2021Evaluating the Robustness of Trigger Set-Based Watermarks Embedded in Deep Neural Networks18 Jun 2021
- 2021iNNformant: Boundary Samples as Telltale Watermarks14 Jun 2021
- 2021High-Robustness, Low-Transferability Fingerprinting of Neural Networks14 May 2021
- 2021Protecting the Intellectual Properties of Deep Neural Networks with an Additional Class and Steganographic Images19 Apr 2021
- 2021HufuNet: Embedding the Left Piece as Watermark and Keeping the Right Piece for Ownership Verification in Deep Neural Networks25 Mar 2021
- 2021Proof-of-Learning: Definitions and Practice9 Mar 2021
- 2021Robust Black-box Watermarking for Deep NeuralNetwork using Inverse Document Frequency9 Mar 2021
- 2021Don't Forget to Sign the Gradients!5 Mar 2021
- 2024Watermarking Techniques for Large Language Models: A Surveycited by 20
- 2024MEA-Defender: A Robust Watermark against Model Extraction Attackcited by 16
- 2023Identifying Appropriate Intellectual Property Protection Mechanisms for Machine Learning Models: A Systematization of Watermarking, Fingerprinting, Model Access, and Attackscited by 11
- 2023Towards Robust Model Watermark via Reducing Parametric Vulnerabilitycited by 10
- 2024Box-Free Model Watermarks Are Prone to Black-Box Removal Attackscited by 6
- 2021Protecting the Intellectual Properties of Deep Neural Networks with an Additional Class and Steganographic Imagescited by 5
- 2021Don't Forget to Sign the Gradients!cited by 2
- 2022PCPT and ACPT: Copyright Protection and Traceability Scheme for DNN Modelscited by 2
- 2023Elevating Defenses: Bridging Adversarial Training and Watermarking for Model Resiliencecited by 2
- 2025THEMIS: Towards Practical Intellectual Property Protection for Post-Deployment On-Device Deep Learning Modelscited by 2
- 2024Task-Agnostic Language Model Watermarking via High Entropy Passthrough Layerscited by 1
- 2022Seeds Don't Lie: An Adaptive Watermarking Framework for Computer Vision Modelscited by 0
12 most cited of 14 All 14 (JSON)
- 2025Hot-Swap MarkBoard: An Efficient Black-box Watermarking Approach for Large-scale Model Distribution28 Jul 2025
- 2025THEMIS: Towards Practical Intellectual Property Protection for Post-Deployment On-Device Deep Learning Models31 Mar 2025
- 2025Neural Honeytrace: Plug&Play Watermarking Framework against Model Extraction Attacks16 Jan 2025
- 2024Task-Agnostic Language Model Watermarking via High Entropy Passthrough Layers17 Dec 2024
- 2024Watermarking Techniques for Large Language Models: A Survey26 Aug 2024
- 2024Box-Free Model Watermarks Are Prone to Black-Box Removal Attacks16 May 2024
- 2024MEA-Defender: A Robust Watermark against Model Extraction Attack26 Jan 2024
- 2023Elevating Defenses: Bridging Adversarial Training and Watermarking for Model Resilience21 Dec 2023
- 2023Towards Robust Model Watermark via Reducing Parametric Vulnerability9 Sep 2023
- 2023Identifying Appropriate Intellectual Property Protection Mechanisms for Machine Learning Models: A Systematization of Watermarking, Fingerprinting, Model Access, and Attacks22 Apr 2023
- 2022Seeds Don't Lie: An Adaptive Watermarking Framework for Computer Vision Models24 Nov 2022
- 2022PCPT and ACPT: Copyright Protection and Traceability Scheme for DNN Models6 Jun 2022
12 newest of 14 All 14 (JSON)
- 2023A Recipe for Watermarking Diffusion Modelscited by 136
- 2023Intellectual Property Protection of Diffusion Models via the Watermark Diffusion Processcited by 17
- 2024Safe-SD: Safe and Traceable Stable Diffusion with Text Prompt Trigger for Invisible Generative Watermarkingcited by 11
- 2025PCDiff: Proactive Control for Ownership Protection in Diffusion Models with Watermark Compatibilitycited by 1
- 2025PCDiff: Proactive Control for Ownership Protection in Diffusion Models with Watermark Compatibility16 Apr 2025
- 2024Safe-SD: Safe and Traceable Stable Diffusion with Text Prompt Trigger for Invisible Generative Watermarking18 Jul 2024
- 2023Intellectual Property Protection of Diffusion Models via the Watermark Diffusion Process6 Jun 2023
- 2023A Recipe for Watermarking Diffusion Models17 Mar 2023
- 2021Proof-of-Learning: Definitions and Practicecited by 81
- 2023False Claims against Model Ownership Resolutioncited by 17
- 2022Watermarking Pre-trained Encoders in Contrastive Learningcited by 10
- 2022SSL-WM: A Black-Box Watermarking Approach for Encoders Pre-trained by Self-supervised Learningcited by 9
- 2023FedRight: An Effective Model Copyright Protection for Federated Learningcited by 8
- 2021Robust Black-box Watermarking for Deep NeuralNetwork using Inverse Document Frequencycited by 6
- 2021Evaluating the Robustness of Trigger Set-Based Watermarks Embedded in Deep Neural Networkscited by 6
- 2023When Federated Learning meets Watermarking: A Comprehensive Overview of Techniques for Intellectual Property Protectioncited by 6
- 2021HufuNet: Embedding the Left Piece as Watermark and Keeping the Right Piece for Ownership Verification in Deep Neural Networkscited by 4
- 2022AWEncoder: Adversarial Watermarking Pre-trained Encoders in Contrastive Learningcited by 4
- 2024DeepEclipse: How to Break White-Box DNN-Watermarking Schemescited by 4
- 2022TATTOOED: A Robust Deep Neural Network Watermarking Scheme based on Spread-Spectrum Channel Codingcited by 3
12 most cited of 30 All 30 (JSON)
- 2026Secure AI Watermarking Framework for IP Protection in Multi-Tenant Cloud Platforms1 Aug 2026
- 2026ArmSSL: Adversarial Robust Black-Box Watermarking for Self-Supervised Learning Pre-trained Encoders24 Apr 2026
- 2025Boosting Active Defense Persistence: A Two-Stage Defense Framework Combining Interruption and Poisoning Against Deepfake11 Aug 2025
- 2025WGLE:Backdoor-free and Multi-bit Black-box Watermarking for Graph Neural Networks10 Jun 2025
- 2025ChainMarks: Securing DNN Watermark with Cryptographic Chain8 May 2025
- 2024Watermarking Decision Tree Ensembles6 Oct 2024
- 2024IDEA: An Inverse Domain Expert Adaptation Based Active DNN IP Protection Method29 Sep 2024
- 2024Watermarking Recommender Systems17 Jul 2024
- 2024Not Just Change the Labels, Learn the Features: Watermarking Deep Neural Networks with Multi-View Data15 Mar 2024
- 2024DeepEclipse: How to Break White-Box DNN-Watermarking Schemes6 Mar 2024
- 2024Revisiting the Information Capacity of Neural Network Watermarks: Upper Bound Estimation and Beyond20 Feb 2024
- 2023Turn Passive to Active: A Survey on Active Intellectual Property Protection of Deep Learning Models15 Oct 2023
12 newest of 30 All 30 (JSON)