On Provable Copyright Protection for Generative Models
Not on the map. Why?
Cited by 28 in Diffusion models, but placed by its own abstract, which didn’t fit.
Abstract (arXiv)
There is a growing concern that learned conditional generative models may output samples that are substantially similar to some copyrighted data C that was in their training set. We give a formal definition of textitnear access-freeness (NAF) and prove bounds on the probability that a model satisfying this definition outputs a sample similar to C, even if C is included in its training set. Roughly speaking, a generative model p is textitk-NAF if for every potentially copyrighted data C, the output of p diverges by at most k-bits from the output of a model q that textitdid not access C at all. We also give generative model learning algorithms, which efficiently modify the original generative model learning algorithm in a black box manner, that output generative models with strong bounds on the probability of sampling protected content. Furthermore, we provide promising experiments for both language (transformers) and image (diffusion) generative models, showing minimal degradation in output quality while ensuring strong protections against sampling protected content.
Key facts. Cited by 98 papers in the map (data through 14 Oct 2026). Builds on 16 of its 40 references that are in the map. First posted on arXiv 21 Feb 2023.
Builds on
16 of 40 references.
References · 16
- 2019Exploring the Limits of Transfer Learning with a Unified Text-to-Text Transformercited by 14,599
- 2022Training Compute-Optimal Large Language Modelscited by 3,019
- 2020Extracting Training Data from Large Language Modelscited by 2,189
- 2022Quantifying Memorization Across Neural Language Modelscited by 763
- 2023Extracting Training Data from Diffusion Modelscited by 732
- 2021Deduplicating Training Data Makes Language Models Bettercited by 714
- 2021Large Language Models Can Be Strong Differentially Private Learnerscited by 412
- 2022Deduplicating Training Data Mitigates Privacy Risks in Language Modelscited by 314
- 2020Differentially Private Learning Needs Better Features (or Much More Data)cited by 235
- 2022Memorization Without Overfitting: Analyzing the Training Dynamics of Large Language Modelscited by 220
- 2021Deep Learning with Label Differential Privacycited by 117
- 2022Do Language Models Plagiarize?cited by 73
4 more
- 2019Do We Train on Test Data? Purging CIFAR of Near-Duplicatescited by 62
- 2018Privacy-preserving Predictioncited by 48
- 2020The Trade-Offs of Private Predictioncited by 22
- 2022Formalizing Human Ingenuity: A Quantitative Framework for Copyright Law's Substantial Similaritycited by 15
Built on by
Citing papers per year: 2023: 31; 2024: 39; 2025: 19; 2026: 9.
98 papers.
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By area:
- 2024TOFU: A Task of Fictitious Unlearning for LLMscited by 533
- 2023Trustworthy LLMs: a Survey and Guideline for Evaluating Large Language Models' Alignmentcited by 401
- 2023Understanding and Mitigating Copying in Diffusion Modelscited by 209
- 2023Foundation Models and Fair Usecited by 116
- 2024DE-COP: Detecting Copyrighted Content in Language Models Training Datacited by 74
- 2023The Data Provenance Initiative: A Large Scale Audit of Dataset Licensing & Attribution in AIcited by 73
- 2023SILO Language Models: Isolating Legal Risk In a Nonparametric Datastorecited by 71
- 2023On the Generalization Properties of Diffusion Modelscited by 68
- 2024Erasing Undesirable Influence in Diffusion Modelscited by 57
- 2023Attention Scheme Inspired Softmax Regressioncited by 49
- 2023An Over-parameterized Exponential Regressioncited by 45
- 2023MetaCloak: Preventing Unauthorized Subject-driven Text-to-image Diffusion-based Synthesis via Meta-learningcited by 44
38 more
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- 2024Copyright Protection in Generative AI: A Technical Perspectivecited by 38
- 2023SoK: Memorization in General-Purpose Large Language Modelscited by 37
- 2023Anticipatory Music Transformercited by 36
- 2024CopyBench: Measuring Literal and Non-Literal Reproduction of Copyright-Protected Text in Language Model Generationcited by 35
- 2024The Stronger the Diffusion Model, the Easier the Backdoor: Data Poisoning to Induce Copyright Breaches Without Adjusting Finetuning Pipelinecited by 33
- 2023DiffInfinite: Large Mask-Image Synthesis via Parallel Random Patch Diffusion in Histopathologycited by 29
- 2023How to Protect Copyright Data in Optimization of Large Language Models?cited by 26
- 2024Diffusion Soup: Model Merging for Text-to-Image Diffusion Modelscited by 26
- 2023Differentially Private Attention Computationcited by 25
- 2023MoPe: Model Perturbation-based Privacy Attacks on Language Modelscited by 25
- 2024Purifying Large Language Models by Ensembling a Small Language Modelcited by 25
- 2025Bigger Isn't Always Memorizing: Early Stopping Overparameterized Diffusion Modelscited by 25
- 2023Can Copyright be Reduced to Privacy?cited by 24
- 2024CPR: Retrieval Augmented Generation for Copyright Protectioncited by 24
- 2024Fantastic Copyrighted Beasts and How (Not) to Generate Themcited by 24
- 2024Automatic Jailbreaking of the Text-to-Image Generative AI Systemscited by 23
- 2025Generalization through variance: how noise shapes inductive biases in diffusion modelscited by 23
- 2025On the Edge of Memorization in Diffusion Modelscited by 22
- 2023On Copyright Risks of Text-to-Image Diffusion Modelscited by 20
- 2024Causal Estimation of Memorisation Profilescited by 20
- 2023The Ethical Implications of Generative Audio Models: A Systematic Literature Reviewcited by 18
- 2023Beyond Classical Attention: Quantum Attention for Scalable Computationcited by 18
- 2024An Economic Solution to Copyright Challenges of Generative AIcited by 18
- 2024Can Watermarking Large Language Models Prevent Copyrighted Text Generation and Hide Training Data?cited by 18
- 2023Training Data Protection with Compositional Diffusion Modelscited by 17
- 2025Taking a Big Step: Large Learning Rates in Denoising Score Matching Prevent Memorizationcited by 17
- 2023Auditing and Generating Synthetic Data with Controllable Trust Trade-offscited by 13
- 2023What Should Data Science Education Do with Large Language Models?cited by 13
- 2023Unmasking Transformers: A Theoretical Approach to Data Recovery via Attention Weightscited by 12
- 2024Synthetic Face Datasets Generation via Latent Space Exploration from Brownian Identity Diffusioncited by 12
- 2024Adaptive Pre-training Data Detection for Large Language Models via Surprising Tokenscited by 11
- 2024Replication in Visual Diffusion Models: A Survey and Outlookcited by 11
- 2024Not All Similarities Are Created Equal: Leveraging Data-Driven Biases to Inform GenAI Copyright Disputescited by 10
- 2024Disguised Copyright Infringement of Latent Diffusion Modelscited by 10
- 2025The Landscape of Memorization in LLMs: Mechanisms, Measurement, and Mitigationcited by 10
- 2023Unpacking the Ethical Value Alignment in Big Modelscited by 9
- 2024An Auditing Test To Detect Behavioral Shift in Language Modelscited by 9
50 most cited of 98 All 98 (JSON)
- 2026What the Model Cannot See: Covert and Provable Text Invisibility in LLMs11 Oct 2026
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- 2026Efficient and Scalable Provenance Tracking for LLM-Generated Code Snippets27 May 2026
- 2026An Empirical Audit of k-NAF Budget Accounting for Anchored Decoding27 May 2026
- 2026Understanding diffusion models requires rethinking (again) generalization7 May 2026
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- 2026BadCLIP++: Stealthy and Persistent Backdoors in Multimodal Contrastive Learning19 Feb 2026
- 2026Provably Protecting Fine-Tuned LLMs from Training Data Extraction while Preserving Utility31 Jan 2026
- 2025Robust Spectral Watermark for Synthetic Tabular Data26 Nov 2025
- 2025Consensus Sampling for Safer Generative AI12 Nov 2025
- 2025A Survey on Collaborating Small and Large Language Models for Performance, Cost-effectiveness, Cloud-edge Privacy, and Trustworthiness14 Oct 2025
38 more
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- 2025LoReUn: Data Itself Implicitly Provides Cues to Improve Machine Unlearning30 Jul 2025
- 2025The Landscape of Memorization in LLMs: Mechanisms, Measurement, and Mitigation8 Jul 2025
- 2025Blameless Users in a Clean Room: Defining Copyright Protection for Generative Models23 Jun 2025
- 2025Learning-Time Encoding Shapes Unlearning in LLMs18 Jun 2025
- 2025Nine Ways to Break Copyright Law and Why Our LLM Won't: A Fair Use Aligned Generation Framework25 May 2025
- 2025Bigger Isn't Always Memorizing: Early Stopping Overparameterized Diffusion Models22 May 2025
- 2025Generalization through variance: how noise shapes inductive biases in diffusion models16 Apr 2025
- 2025SUV: Scalable Large Language Model Copyright Compliance with Regularized Selective Unlearning29 Mar 2025
- 2025Patronus: Interpretable Diffusion Models with Prototypes28 Mar 2025
- 2025Guardians of Generation: Dynamic Inference-Time Copyright Shielding with Adaptive Guidance for AI Image Generation19 Mar 2025
- 2025Information-Guided Identification of Training Data Imprint in (Proprietary) Large Language Models15 Mar 2025
- 2025CopyJudge: Automated Copyright Infringement Identification and Mitigation in Text-to-Image Diffusion Models21 Feb 2025
- 2025Taking a Big Step: Large Learning Rates in Denoising Score Matching Prevent Memorization5 Feb 2025
- 2024Copyright-Protected Language Generation via Adaptive Model Fusion9 Dec 2024
- 2024CopyrightShield: Enhancing Diffusion Model Security against Copyright Infringement Attacks2 Dec 2024
- 2024Differentially Private Adaptation of Diffusion Models via Noisy Aggregated Embeddings22 Nov 2024
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- 2024Unveiling Synthetic Faces: How Synthetic Datasets Can Expose Real Identities31 Oct 2024
- 2024An Auditing Test To Detect Behavioral Shift in Language Models25 Oct 2024
- 2024Probabilistic Analysis of Copyright Disputes and Generative AI Safety1 Oct 2024
- 2024Image Copy Detection for Diffusion Models30 Sep 2024
- 2024CPSample: Classifier Protected Sampling for Guarding Training Data During Diffusion11 Sep 2024
- 2024Randomization Techniques to Mitigate the Risk of Copyright Infringement21 Aug 2024
- 2024Not Every Image is Worth a Thousand Words: Quantifying Originality in Stable Diffusion15 Aug 2024
- 2024Adaptive Pre-training Data Detection for Large Language Models via Surprising Tokens30 Jul 2024
- 2024Strong Copyright Protection for Language Models via Adaptive Model Fusion29 Jul 2024
- 2024Can Watermarking Large Language Models Prevent Copyrighted Text Generation and Hide Training Data?24 Jul 2024
- 2024Training Foundation Models as Data Compression: On Information, Model Weights and Copyright Law18 Jul 2024
- 2024CopyBench: Measuring Literal and Non-Literal Reproduction of Copyright-Protected Text in Language Model Generation9 Jul 2024
- 2024Replication in Visual Diffusion Models: A Survey and Outlook7 Jul 2024
- 2024Credit Attribution and Stable Compression22 Jun 2024
- 2024Fantastic Copyrighted Beasts and How (Not) to Generate Them20 Jun 2024
- 2024Diffusion Soup: Model Merging for Text-to-Image Diffusion Models12 Jun 2024
- 2024Causal Estimation of Memorisation Profiles6 Jun 2024
- 2024Tackling Copyright Issues in AI Image Generation Through Originality Estimation and Genericization5 Jun 2024
50 newest of 98 All 98 (JSON)
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- 2023On the Generalization Properties of Diffusion Modelscited by 68
- 2024Erasing Undesirable Influence in Diffusion Modelscited by 57
- 2023MetaCloak: Preventing Unauthorized Subject-driven Text-to-image Diffusion-based Synthesis via Meta-learningcited by 44
- 2024The Stronger the Diffusion Model, the Easier the Backdoor: Data Poisoning to Induce Copyright Breaches Without Adjusting Finetuning Pipelinecited by 33
- 2023DiffInfinite: Large Mask-Image Synthesis via Parallel Random Patch Diffusion in Histopathologycited by 29
- 2024Diffusion Soup: Model Merging for Text-to-Image Diffusion Modelscited by 26
- 2025Bigger Isn't Always Memorizing: Early Stopping Overparameterized Diffusion Modelscited by 25
- 2025Generalization through variance: how noise shapes inductive biases in diffusion modelscited by 23
- 2025On the Edge of Memorization in Diffusion Modelscited by 22
- 2023On Copyright Risks of Text-to-Image Diffusion Modelscited by 20
- 2023Training Data Protection with Compositional Diffusion Modelscited by 17
12 most cited of 27 All 27 (JSON)
- 2026Understanding diffusion models requires rethinking (again) generalization7 May 2026
- 2025Responsible Diffusion: A Comprehensive Survey on Safety, Ethics, and Trust in Diffusion Models25 Sep 2025
- 2025On the Edge of Memorization in Diffusion Models25 Aug 2025
- 2025Bigger Isn't Always Memorizing: Early Stopping Overparameterized Diffusion Models22 May 2025
- 2025Generalization through variance: how noise shapes inductive biases in diffusion models16 Apr 2025
- 2025Patronus: Interpretable Diffusion Models with Prototypes28 Mar 2025
- 2025CopyJudge: Automated Copyright Infringement Identification and Mitigation in Text-to-Image Diffusion Models21 Feb 2025
- 2025Taking a Big Step: Large Learning Rates in Denoising Score Matching Prevent Memorization5 Feb 2025
- 2024CopyrightShield: Enhancing Diffusion Model Security against Copyright Infringement Attacks2 Dec 2024
- 2024Differentially Private Adaptation of Diffusion Models via Noisy Aggregated Embeddings22 Nov 2024
- 2024Image Copy Detection for Diffusion Models30 Sep 2024
- 2024CPSample: Classifier Protected Sampling for Guarding Training Data During Diffusion11 Sep 2024
12 newest of 27 All 27 (JSON)
- 2024TOFU: A Task of Fictitious Unlearning for LLMscited by 533
- 2024Purifying Large Language Models by Ensembling a Small Language Modelcited by 25
- 2024Automatic Jailbreaking of the Text-to-Image Generative AI Systemscited by 23
- 2024Can Watermarking Large Language Models Prevent Copyrighted Text Generation and Hide Training Data?cited by 18
- 2025The Landscape of Memorization in LLMs: Mechanisms, Measurement, and Mitigationcited by 10
- 2025LoReUn: Data Itself Implicitly Provides Cues to Improve Machine Unlearningcited by 3
- 2026BadCLIP++: Stealthy and Persistent Backdoors in Multimodal Contrastive Learningcited by 2
- 2025Learning-Time Encoding Shapes Unlearning in LLMscited by 1
- 2025Robust Spectral Watermark for Synthetic Tabular Datacited by 1
- 2026What the Model Cannot See: Covert and Provable Text Invisibility in LLMscited by 0
- 2026What the Model Cannot See: Covert and Provable Text Invisibility in LLMs11 Oct 2026
- 2026BadCLIP++: Stealthy and Persistent Backdoors in Multimodal Contrastive Learning19 Feb 2026
- 2025Robust Spectral Watermark for Synthetic Tabular Data26 Nov 2025
- 2025LoReUn: Data Itself Implicitly Provides Cues to Improve Machine Unlearning30 Jul 2025
- 2025The Landscape of Memorization in LLMs: Mechanisms, Measurement, and Mitigation8 Jul 2025
- 2025Learning-Time Encoding Shapes Unlearning in LLMs18 Jun 2025
- 2024Can Watermarking Large Language Models Prevent Copyrighted Text Generation and Hide Training Data?24 Jul 2024
- 2024Automatic Jailbreaking of the Text-to-Image Generative AI Systems26 May 2024
- 2024Purifying Large Language Models by Ensembling a Small Language Model19 Feb 2024
- 2024TOFU: A Task of Fictitious Unlearning for LLMs11 Jan 2024
- 2024CPR: Retrieval Augmented Generation for Copyright Protectioncited by 24
- 2024CPR: Retrieval Augmented Generation for Copyright Protection27 Mar 2024
- 2023Trustworthy LLMs: a Survey and Guideline for Evaluating Large Language Models' Alignmentcited by 401
- 2023Foundation Models and Fair Usecited by 116
- 2024DE-COP: Detecting Copyrighted Content in Language Models Training Datacited by 74
- 2023The Data Provenance Initiative: A Large Scale Audit of Dataset Licensing & Attribution in AIcited by 73
- 2023SILO Language Models: Isolating Legal Risk In a Nonparametric Datastorecited by 71
- 2023Attention Scheme Inspired Softmax Regressioncited by 49
- 2023An Over-parameterized Exponential Regressioncited by 45
- 2024A Geometric Framework for Understanding Memorization in Generative Modelscited by 40
- 2024Copyright Protection in Generative AI: A Technical Perspectivecited by 38
- 2023SoK: Memorization in General-Purpose Large Language Modelscited by 37
- 2023Anticipatory Music Transformercited by 36
- 2024CopyBench: Measuring Literal and Non-Literal Reproduction of Copyright-Protected Text in Language Model Generationcited by 35
12 most cited of 58 All 58 (JSON)
- 2026The Null Is the Hard Part: Exact Tests for Memorization in Generative Models23 Sep 2026
- 2026Memorization Is Not Extraction: Tight Differential-Privacy Bounds and Audit Blind Spots27 Aug 2026
- 2026Efficient and Scalable Provenance Tracking for LLM-Generated Code Snippets27 May 2026
- 2026An Empirical Audit of k-NAF Budget Accounting for Anchored Decoding27 May 2026
- 2026Barriers to Counterfactual Credit Attribution for Autoregressive Models2 May 2026
- 2026Provably Protecting Fine-Tuned LLMs from Training Data Extraction while Preserving Utility31 Jan 2026
- 2025Consensus Sampling for Safer Generative AI12 Nov 2025
- 2025A Survey on Collaborating Small and Large Language Models for Performance, Cost-effectiveness, Cloud-edge Privacy, and Trustworthiness14 Oct 2025
- 2025AMCR: A Framework for Assessing and Mitigating Copyright Risks in Generative Models31 Aug 2025
- 2025Blameless Users in a Clean Room: Defining Copyright Protection for Generative Models23 Jun 2025
- 2025Guardians of Generation: Dynamic Inference-Time Copyright Shielding with Adaptive Guidance for AI Image Generation19 Mar 2025
- 2025Information-Guided Identification of Training Data Imprint in (Proprietary) Large Language Models15 Mar 2025
12 newest of 58 All 58 (JSON)