Adversarial Reprogramming Revisited
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Abstract (arXiv)
Adversarial reprogramming, introduced by Elsayed, Goodfellow, and Sohl-Dickstein, seeks to repurpose a neural network to perform a different task, by manipulating its input without modifying its weights. We prove that two-layer ReLU neural networks with random weights can be adversarially reprogrammed to achieve arbitrarily high accuracy on Bernoulli data models over hypercube vertices, provided the network width is no greater than its input dimension. We also substantially strengthen a recent result of Phuong and Lampert on directional convergence of gradient flow, and obtain as a corollary that training two-layer ReLU neural networks on orthogonally separable datasets can cause their adversarial reprogramming to fail. We support these theoretical results by experiments that demonstrate that, as long as batch normalisation layers are suitably initialised, even untrained networks with random weights are susceptible to adversarial reprogramming. This is in contrast to observations in several recent works that suggested that adversarial reprogramming is not possible for untrained networks to any degree of reliability.
Key facts. Cited by 10 papers in the map (data through 7 Oct 2026). Builds on 38 of its 61 references that are in the map. First posted on arXiv 7 Jun 2022.
Builds on
38 of 61 references.
References · 38
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26 more
- 2019Adversarial Examples Are Not Bugs, They Are Featurescited by 950
- 2016Universal adversarial perturbationscited by 774
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- 2017The Implicit Bias of Gradient Descent on Separable Datacited by 649
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- 2017Adversarial Patchcited by 514
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- 2018Adversarially Robust Generalization Requires More Datacited by 318
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- 2020Reprogramming Language Models for Molecular Representation Learningcited by 13
- 2021Why Adversarial Reprogramming Works, When It Fails, and How to Tell the Differencecited by 13
- 2022Adversarial Examples in Random Neural Networks with General Activationscited by 13
- 2021The Convex Geometry of Backpropagation: Neural Network Gradient Flows Converge to Extreme Points of the Dual Convex Programcited by 11
Built on by
Citing papers per year: 2023: 3; 2024: 3; 2025: 4.
10 papers.
- 2023The Expressive Power of Low-Rank Adaptationcited by 100
- 2023Deep Graph Reprogrammingcited by 22
- 2023Learning a Neuron by a Shallow ReLU Network: Dynamics and Implicit Bias for Correlated Inputscited by 16
- 2024Simplicity Bias of Two-Layer Networks beyond Linearly Separable Datacited by 11
- 2025Neural Network Reprogrammability: A Unified Theme on Model Reprogramming, Prompt Tuning, and Prompt Instructioncited by 3
- 2025Model Reprogramming Demystified: A Neural Tangent Kernel Perspectivecited by 2
- 2025Lifting Manifolds to Mitigate Pseudo-Alignment in LLM4TScited by 2
- 2024Memorization Capacity for Additive Fine-Tuning with Small ReLU Networkscited by 0
- 2024Model Hijacking Attack in Federated Learningcited by 0
- 2025Efficient Morphology-Aware Policy Transfer to New Embodimentscited by 0
- 2025Lifting Manifolds to Mitigate Pseudo-Alignment in LLM4TS14 Oct 2025
- 2025Efficient Morphology-Aware Policy Transfer to New Embodiments5 Aug 2025
- 2025Neural Network Reprogrammability: A Unified Theme on Model Reprogramming, Prompt Tuning, and Prompt Instruction5 Jun 2025
- 2025Model Reprogramming Demystified: A Neural Tangent Kernel Perspective31 May 2025
- 2024Model Hijacking Attack in Federated Learning4 Aug 2024
- 2024Memorization Capacity for Additive Fine-Tuning with Small ReLU Networks1 Aug 2024
- 2024Simplicity Bias of Two-Layer Networks beyond Linearly Separable Data27 May 2024
- 2023The Expressive Power of Low-Rank Adaptation26 Oct 2023
- 2023Learning a Neuron by a Shallow ReLU Network: Dynamics and Implicit Bias for Correlated Inputs10 Jun 2023
- 2023Deep Graph Reprogramming28 Apr 2023