Reconstructing Training Data from Trained Neural Networks
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Abstract (arXiv)
Understanding to what extent neural networks memorize training data is an intriguing question with practical and theoretical implications. In this paper we show that in some cases a significant fraction of the training data can in fact be reconstructed from the parameters of a trained neural network classifier. We propose a novel reconstruction scheme that stems from recent theoretical results about the implicit bias in training neural networks with gradient-based methods. To the best of our knowledge, our results are the first to show that reconstructing a large portion of the actual training samples from a trained neural network classifier is generally possible. This has negative implications on privacy, as it can be used as an attack for revealing sensitive training data. We demonstrate our method for binary MLP classifiers on a few standard computer vision datasets.
Key facts. Cited by 129 papers in the map (data through 7 Oct 2026). Builds on 54 of its 85 references that are in the map. First posted on arXiv 15 Jun 2022.
Builds on
54 of 85 references.
References · 54
- 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,160
- 2014Explaining and Harnessing Adversarial Examplescited by 7,287
- 2013Intriguing properties of neural networkscited by 5,114
- 2015Delving Deep into Rectifiers: Surpassing Human-Level Performance on ImageNet Classificationcited by 3,590
- 2016Deep Learning with Differential Privacycited by 2,682
- 2016Membership Inference Attacks against Machine Learning Modelscited by 2,221
- 2020Extracting Training Data from Large Language Modelscited by 2,144
- 2019Deep Leakage from Gradientscited by 1,004
- 2018Robustness May Be at Odds with Accuracycited by 873
- 2018The Secret Sharer: Evaluating and Testing Unintended Memorization in Neural Networkscited by 847
- 2017The Implicit Bias of Gradient Descent on Separable Datacited by 649
- 2016Stealing Machine Learning Models via Prediction APIscited by 602
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- 2019Dreaming to Distill: Data-free Knowledge Transfer via DeepInversioncited by 419
- 2019Implicit Regularization in Deep Matrix Factorizationcited by 402
- 2014Understanding Deep Image Representations by Inverting Themcited by 399
- 2015Understanding Neural Networks Through Deep Visualizationcited by 332
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- 2020Kernel and Rich Regimes in Overparametrized Modelscited by 302
- 2020Systematic Evaluation of Privacy Risks of Machine Learning Modelscited by 273
- 2020Implicit Bias of Gradient Descent for Wide Two-layer Neural Networks Trained with the Logistic Losscited by 267
- 2018Characterizing Implicit Bias in Terms of Optimization Geometrycited by 259
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- 2019The Secret Revealer: Generative Model-Inversion Attacks Against Deep Neural Networkscited by 241
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- 2021Evaluating Gradient Inversion Attacks and Defenses in Federated Learningcited by 196
- 2018Gradient descent aligns the layers of deep linear networkscited by 182
- 2016Synthesizing the preferred inputs for neurons in neural networks via deep generator networkscited by 181
- 2020Directional convergence and alignment in deep learningcited by 172
- 2020Towards Resolving the Implicit Bias of Gradient Descent for Matrix Factorization: Greedy Low-Rank Learningcited by 148
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- 2018Stealing Hyperparameters in Machine Learningcited by 115
- 2016Multifaceted Feature Visualization: Uncovering the Different Types of Features Learned By Each Neuron in Deep Neural Networkscited by 106
- 2020When is Memorization of Irrelevant Training Data Necessary for High-Accuracy Learning?cited by 102
- 2020InstaHide: Instance-hiding Schemes for Private Distributed Learningcited by 90
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- 2020A Unifying View on Implicit Bias in Training Linear Neural Networkscited by 74
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- 2021On the Implicit Bias of Initialization Shape: Beyond Infinitesimal Mirror Descentcited by 69
- 2020Cryptanalytic Extraction of Neural Network Modelscited by 65
- 2019Lexicographic and Depth-Sensitive Margins in Homogeneous and Non-Homogeneous Deep Modelscited by 53
- 2022Implicit Regularization Towards Rank Minimization in ReLU Networkscited by 53
50 most cited of 54 All 54 (JSON)
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Citing papers per year: 2022: 6; 2023: 39; 2024: 44; 2025: 25; 2026: 15.
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- 2024QUEEN: Query Unlearning against Model Extractioncited by 9
- 2024Dataset Size Recovery from LoRA Weightscited by 7
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12 most cited of 18 All 18 (JSON)
- 2026Characterizing Privacy-Audit Alignment in Behavioral Audit of Machine Unlearning12 Jun 2026
- 2026Detectability in Diversity: Improved Canary Crafting for Privacy Auditing in One Run26 May 2026
- 2026Mitigating Privacy Risk via Forget Set-Free Unlearning12 Apr 2026
- 2025ImpMIA: Leveraging Implicit Bias for Membership Inference Attack12 Oct 2025
- 2025The Right to be Forgotten in Pruning: Unveil Machine Unlearning on Sparse Models24 Jul 2025
- 2025Tuning without Peeking: Provable Generalization Bounds and Robust LLM Post-Training2 Jul 2025
- 2025Apollo: A Posteriori Label-Only Membership Inference Attack Towards Machine Unlearning11 Jun 2025
- 2025DRAUN: An Algorithm-Agnostic Data Reconstruction Attack on Federated Unlearning Systems2 Jun 2025
- 2025Bayesian Perspective on Memorization and Reconstruction29 May 2025
- 2024Provable Privacy Attacks on Trained Shallow Neural Networks10 Oct 2024
- 2024Understanding Data Importance in Machine Learning Attacks: Does Valuable Data Pose Greater Harm?5 Sep 2024
- 2024QUEEN: Query Unlearning against Model Extraction1 Jul 2024
12 newest of 18 All 18 (JSON)
- 2022Preventing Verbatim Memorization in Language Models Gives a False Sense of Privacycited by 97
- 2022On the Implicit Bias in Deep-Learning Algorithmscited by 84
- 2023Can Neural Network Memorization Be Localized?cited by 66
- 2022Differentially Private Optimization on Large Model at Small Costcited by 65
- 2023Differentially Private Synthetic Data via Foundation Model APIs 1: Imagescited by 63
- 2023Computationally Budgeted Continual Learning: What Does Matter?cited by 61
- 2023Continual Learning: Applications and the Road Forwardcited by 59
- 2022Differentially Private Bias-Term Fine-tuning of Foundation Modelscited by 47
- 2023Training Data Extraction From Pre-trained Language Models: A Surveycited by 43
- 2023User Inference Attacks on Large Language Modelscited by 36
- 2023One-shot Empirical Privacy Estimation for Federated Learningcited by 35
- 2023Can Copyright be Reduced to Privacy?cited by 24
12 most cited of 105 All 105 (JSON)
- 2026A Sharp Transition in Data Reconstruction under Differential Privacy29 Sep 2026
- 2026Imprint Reader: From Weight-Update Readout to Behavioral Intervention28 Sep 2026
- 2026Reducing information dependency does not cause training data privacy. Adversarially non-robust features do14 Jul 2026
- 2026Secure-by-Disguise: A Systematic Evaluation of Image Disguising for Confidential Medical Image Modeling9 Jul 2026
- 2026Differential Privacy of Gaussian Process Posterior Sampling16 Jun 2026
- 2026Efficient Techniques for Data Reconstruction, with Finite-Width Recovery Guarantees7 May 2026
- 2026Turning Black Box into White Box: Dataset Distillation Leaks1 Mar 2026
- 2026The Implicit Bias of Adam and Muon on Smooth Homogeneous Neural Networks18 Feb 2026
- 2026Data Reconstruction: Identifiability and Optimization with Sample Splitting9 Feb 2026
- 2026Tighter Information-Theoretic Generalization Bounds via a Novel Class of Change of Measure Inequalities8 Feb 2026
- 2026Private and interpretable clinical prediction with quantum-inspired tensor train models5 Feb 2026
- 2026Responsible AI for General-Purpose Systems: Overview, Challenges, and A Path Forward19 Jan 2026
12 newest of 105 All 105 (JSON)