Model Reconstruction from Model Explanations
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Abstract (arXiv)
We show through theory and experiment that gradient-based explanations of a model quickly reveal the model itself. Our results speak to a tension between the desire to keep a proprietary model secret and the ability to offer model explanations. On the theoretical side, we give an algorithm that provably learns a two-layer ReLU network in a setting where the algorithm may query the gradient of the model with respect to chosen inputs. The number of queries is independent of the dimension and nearly optimal in its dependence on the model size. Of interest not only from a learning-theoretic perspective, this result highlights the power of gradients rather than labels as a learning primitive. Complementing our theory, we give effective heuristics for reconstructing models from gradient explanations that are orders of magnitude more query-efficient than reconstruction attacks relying on prediction interfaces.
Key facts. Cited by 84 papers in the map (data through 7 Oct 2026). First posted on arXiv 13 Jul 2018.
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Citing papers per year: 2021: 15; 2022: 16; 2023: 18; 2024: 14; 2025: 13; 2026: 8.
84 papers.
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- 2023Distilling Step-by-Step! Outperforming Larger Language Models with Less Training Data and Smaller Model Sizescited by 710
- 2022Reconstructing Training Data from Trained Neural Networkscited by 129
- 2022I Know What You Trained Last Summer: A Survey on Stealing Machine Learning Models and Defencescited by 75
- 2022Towards Data-Free Model Stealing in a Hard Label Settingcited by 57
- 2022Leveraging Explanations in Interactive Machine Learning: An Overviewcited by 52
- 2021Exploiting Explanations for Model Inversion Attackscited by 48
- 2021Survey: Leakage and Privacy at Inference Timecited by 44
- 2021DeepSteal: Advanced Model Extractions Leveraging Efficient Weight Stealing in Memoriescited by 42
- 2023Hidden symmetries of ReLU networkscited by 38
- 2021MEGEX: Data-Free Model Extraction Attack against Gradient-Based Explainable AIcited by 35
- 2024Gradient based Feature Attribution in Explainable AI: A Technical Reviewcited by 34
- 2022DualCF: Efficient Model Extraction Attack from Counterfactual Explanationscited by 31
38 more
- 2022Hardness of Noise-Free Learning for Two-Hidden-Layer Neural Networkscited by 27
- 2021Characterizing the risk of fairwashingcited by 21
- 2021Amazon SageMaker Clarify: Machine Learning Bias Detection and Explainability in the Cloudcited by 19
- 2023Stealing the Decoding Algorithms of Language Modelscited by 19
- 2023Polynomial Time Cryptanalytic Extraction of Neural Network Modelscited by 17
- 2022Inferring Sensitive Attributes from Model Explanationscited by 15
- 2022Differentially Private Counterfactuals via Functional Mechanismcited by 13
- 2024Model Reconstruction Using Counterfactual Explanations: A Perspective From Polytope Theorycited by 12
- 2021An Exact Poly-Time Membership-Queries Algorithm for Extraction a three-Layer ReLU Networkcited by 11
- 2022Feature-based Learning for Diverse and Privacy-Preserving Counterfactual Explanationscited by 11
- 2022XRand: Differentially Private Defense against Explanation-Guided Attackscited by 11
- 2023Marich: A Query-efficient Distributionally Equivalent Model Extraction Attack using Public Datacited by 11
- 2023Isolation and Induction: Training Robust Deep Neural Networks against Model Stealing Attackscited by 10
- 2021SoK: Machine Learning Governancecited by 9
- 2023AUTOLYCUS: Exploiting Explainable AI (XAI) for Model Extraction Attacks against Interpretable Modelscited by 9
- 2023A Survey on Explainable Artificial Intelligence for Cybersecuritycited by 9
- 2024Feature Inference Attack on Shapley Valuescited by 9
- 2021Model Extraction and Defenses on Generative Adversarial Networkscited by 8
- 2022On the amplification of security and privacy risks by post-hoc explanations in machine learning modelscited by 8
- 2024Polynomial Time Cryptanalytic Extraction of Deep Neural Networks in the Hard-Label Settingcited by 8
- 2022SoK: Modeling Explainability in Security Analytics for Interpretability, Trustworthiness, and Usabilitycited by 7
- 2024Beyond Slow Signs in High-fidelity Model Extractioncited by 7
- 2021Key Technology Considerations in Developing and Deploying Machine Learning Models in Clinical Radiology Practicecited by 6
- 2021Efficiently Learning Any One Hidden Layer ReLU Network From Queriescited by 6
- 2021Evaluating Privacy-Preserving Machine Learning in Critical Infrastructures: A Case Study on Time-Series Classificationcited by 6
- 2023MeaeQ: Mount Model Extraction Attacks with Efficient Queriescited by 6
- 2024A Survey of Privacy-Preserving Model Explanations: Privacy Risks, Attacks, and Countermeasurescited by 6
- 2022Preprocessors Matter! Realistic Decision-Based Attacks on Machine Learning Systemscited by 5
- 2023Model Extraction Attacks on Split Federated Learningcited by 5
- 2023Accurate, Explainable, and Private Models: Providing Recourse While Minimizing Training Data Leakagecited by 5
- 2023Privacy-Preserving Algorithmic Recoursecited by 5
- 2022Privacy of Autonomous Vehicles: Risks, Protection Methods, and Future Directionscited by 4
- 2023Toward L_∞-recovery of Nonlinear Functions: A Polynomial Sample Complexity Bound for Gaussian Random Fieldscited by 4
- 2023SoK: Taming the Triangle -- On the Interplays between Fairness, Interpretability and Privacy in Machine Learningcited by 4
- 2025Crowding Out The Noise: Algorithmic Collective Action Under Differential Privacycited by 4
- 2021EG-Booster: Explanation-Guided Booster of ML Evasion Attackscited by 3
- 2022Margin-distancing for safe model explanationcited by 3
- 2024Privacy Implications of Explainable AI in Data-Driven Systemscited by 3
50 most cited of 84 All 84 (JSON)
- 2026End-to-End Hard-Label Cryptanalytic Model Extraction Using Efficient Sign Recovery18 Sep 2026
- 2026SoK: Privacy Attacks on Machine Learning via Explainable AI9 Sep 2026
- 2026Governing the KV Cache: Preventing Timing Side-Channel Leakage in Multi-Tenant LLM Inference10 Aug 2026
- 2026Provably Learning Multi-Head Attention with Queries4 Aug 2026
- 2026AI-Native Closed-Loop Security for 6G-Enabled Cyber-Physical Systems: From Edge Detection to Network-Wide Mitigation6 Jun 2026
- 2026Can Subgraph Explanations Be Weaponized to Steal Graph Neural Networks?28 May 2026
- 2026Linear Model Extraction via Factual and Counterfactual Queries10 Feb 2026
- 2026Provably Learning Attention with Queries23 Jan 2026
- 2025Is the Hard-Label Cryptanalytic Model Extraction Really Polynomial?8 Oct 2025
- 2025Train to Defend: First Defense Against Cryptanalytic Neural Network Parameter Extraction Attacks20 Sep 2025
- 2025I Stolenly Swear That I Am Up to (No) Good: Design and Evaluation of Model Stealing Attacks29 Aug 2025
- 2025Intellectual Property in Graph-Based Machine Learning as a Service: Attacks and Defenses27 Aug 2025
38 more
- 2025Towards integration of Privacy Enhancing Technologies in Explainable Artificial Intelligence6 Jul 2025
- 2025Navigating the Deep: End-to-End Extraction on Deep Neural Networks20 Jun 2025
- 2025Do Explanations Increase the Risk of Decision Logic Leakage? Explanation-Guided Stealing of Graph Models3 Jun 2025
- 2025Crowding Out The Noise: Algorithmic Collective Action Under Differential Privacy9 May 2025
- 2025Privacy Risks and Preservation Methods in Explainable Artificial Intelligence: A Scoping Review5 May 2025
- 2025Attackers Can Do Better: Over- and Understated Factors of Model Stealing Attacks8 Mar 2025
- 2025Examining the Threat Landscape: Foundation Models and Model Stealing25 Feb 2025
- 2025Model Privacy: A Unified Framework for Understanding Model Stealing Attacks and Defenses21 Feb 2025
- 2025From Counterfactuals to Trees: Competitive Analysis of Model Extraction Attacks7 Feb 2025
- 2024SoK: A Systems Perspective on Compound AI Threats and Countermeasures20 Nov 2024
- 2024A Divide-and-Conquer Strategy for Hard-Label Extraction of Deep Neural Networks via Side-Channel Attacks15 Nov 2024
- 2024Polynomial Time Cryptanalytic Extraction of Deep Neural Networks in the Hard-Label Setting8 Oct 2024
- 2024XSub: Explanation-Driven Adversarial Attack against Blackbox Classifiers via Feature Substitution13 Sep 2024
- 2024Feature Inference Attack on Shapley Values16 Jul 2024
- 2024Privacy Implications of Explainable AI in Data-Driven Systems22 Jun 2024
- 2024Beyond Slow Signs in High-fidelity Model Extraction14 Jun 2024
- 2024Inference Attacks: A Taxonomy, Survey, and Promising Directions4 Jun 2024
- 2024Privacy Challenges in Meta-Learning: An Investigation on Model-Agnostic Meta-Learning1 Jun 2024
- 2024Model Reconstruction Using Counterfactual Explanations: A Perspective From Polytope Theory8 May 2024
- 2024Towards a Game-theoretic Understanding of Explanation-based Membership Inference Attacks10 Apr 2024
- 2024Knowledge Distillation-Based Model Extraction Attack using GAN-based Private Counterfactual Explanations4 Apr 2024
- 2024A Survey of Privacy-Preserving Model Explanations: Privacy Risks, Attacks, and Countermeasures31 Mar 2024
- 2024Gradient based Feature Attribution in Explainable AI: A Technical Review15 Mar 2024
- 2023SoK: Taming the Triangle -- On the Interplays between Fairness, Interpretability and Privacy in Machine Learning22 Dec 2023
- 2023Rethinking Model Inversion Attacks With Patch-Wise Reconstruction12 Dec 2023
- 2023Reverse Engineering Deep ReLU Networks An Optimization-based Algorithm7 Dec 2023
- 2023Privacy-Preserving Algorithmic Recourse23 Nov 2023
- 2023MeaeQ: Mount Model Extraction Attacks with Efficient Queries21 Oct 2023
- 2023Polynomial Time Cryptanalytic Extraction of Neural Network Models12 Oct 2023
- 2023Accurate, Explainable, and Private Models: Providing Recourse While Minimizing Training Data Leakage8 Aug 2023
- 2023Isolation and Induction: Training Robust Deep Neural Networks against Model Stealing Attacks2 Aug 2023
- 2023Hidden symmetries of ReLU networks9 Jun 2023
- 2023The Case Against Explainability20 May 2023
- 2023Finding Meaningful Distributions of ML Black-boxes under Forensic Investigation10 May 2023
- 2023Distilling Step-by-Step! Outperforming Larger Language Models with Less Training Data and Smaller Model Sizes3 May 2023
- 2023Toward L_∞-recovery of Nonlinear Functions: A Polynomial Sample Complexity Bound for Gaussian Random Fields29 Apr 2023
- 2023Model Extraction Attacks on Split Federated Learning13 Mar 2023
- 2023Stealing the Decoding Algorithms of Language Models8 Mar 2023
50 newest of 84 All 84 (JSON)
- 2023Distilling Step-by-Step! Outperforming Larger Language Models with Less Training Data and Smaller Model Sizescited by 710
- 2022Reconstructing Training Data from Trained Neural Networkscited by 129
- 2022I Know What You Trained Last Summer: A Survey on Stealing Machine Learning Models and Defencescited by 75
- 2022Towards Data-Free Model Stealing in a Hard Label Settingcited by 57
- 2022Leveraging Explanations in Interactive Machine Learning: An Overviewcited by 52
- 2021Exploiting Explanations for Model Inversion Attackscited by 48
- 2021Survey: Leakage and Privacy at Inference Timecited by 44
- 2021DeepSteal: Advanced Model Extractions Leveraging Efficient Weight Stealing in Memoriescited by 42
- 2023Hidden symmetries of ReLU networkscited by 38
- 2021MEGEX: Data-Free Model Extraction Attack against Gradient-Based Explainable AIcited by 35
- 2024Gradient based Feature Attribution in Explainable AI: A Technical Reviewcited by 34
- 2022DualCF: Efficient Model Extraction Attack from Counterfactual Explanationscited by 31
12 most cited of 81 All 81 (JSON)
- 2026End-to-End Hard-Label Cryptanalytic Model Extraction Using Efficient Sign Recovery18 Sep 2026
- 2026SoK: Privacy Attacks on Machine Learning via Explainable AI9 Sep 2026
- 2026Provably Learning Multi-Head Attention with Queries4 Aug 2026
- 2026AI-Native Closed-Loop Security for 6G-Enabled Cyber-Physical Systems: From Edge Detection to Network-Wide Mitigation6 Jun 2026
- 2026Can Subgraph Explanations Be Weaponized to Steal Graph Neural Networks?28 May 2026
- 2026Linear Model Extraction via Factual and Counterfactual Queries10 Feb 2026
- 2026Provably Learning Attention with Queries23 Jan 2026
- 2025Is the Hard-Label Cryptanalytic Model Extraction Really Polynomial?8 Oct 2025
- 2025Train to Defend: First Defense Against Cryptanalytic Neural Network Parameter Extraction Attacks20 Sep 2025
- 2025I Stolenly Swear That I Am Up to (No) Good: Design and Evaluation of Model Stealing Attacks29 Aug 2025
- 2025Intellectual Property in Graph-Based Machine Learning as a Service: Attacks and Defenses27 Aug 2025
- 2025Towards integration of Privacy Enhancing Technologies in Explainable Artificial Intelligence6 Jul 2025
12 newest of 81 All 81 (JSON)