# Learning to Generate Noise for Multi-Attack Robustness

arXiv: https://arxiv.org/abs/2006.12135 · HTML: https://mlsanity.com/paper/2006.12135/

## Key facts

- Cited by 17 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 22 Jun 2020.

## Built on by (most cited first, 17 of 17)

- [Efficient Test-Time Model Adaptation without Forgetting](https://mlsanity.com/paper/2204.02610/) (2022)
- [Robust Prompt Optimization for Defending Language Models Against Jailbreaking Attacks](https://mlsanity.com/paper/2401.17263/) (2024)
- [Mind the box: l1-APGD for sparse adversarial attacks on image classifiers](https://mlsanity.com/paper/2103.01208/) (2021)
- [Adversarial Robustness against Multiple and Single lp-Threat Models via Quick Fine-Tuning of Robust Classifiers](https://mlsanity.com/paper/2105.12508/) (2021)
- [Seasoning Model Soups for Robustness to Adversarial and Natural Distribution Shifts](https://mlsanity.com/paper/2302.10164/) (2023)
- [Friendly Noise against Adversarial Noise: A Powerful Defense against Data Poisoning Attacks](https://mlsanity.com/paper/2208.10224/) (2022)
- [Uncertainty-Calibrated Test-Time Model Adaptation without Forgetting](https://mlsanity.com/paper/2403.11491/) (2024)
- [A.I. Robustness: a Human-Centered Perspective on Technological Challenges and Opportunities](https://mlsanity.com/paper/2210.08906/) (2022)
- [PureGen: Universal Data Purification for Train-Time Poison Defense via Generative Model Dynamics](https://mlsanity.com/paper/2405.18627/) (2024)
- [Internal Wasserstein Distance for Adversarial Attack and Defense](https://mlsanity.com/paper/2103.07598/) (2021)
- [Turning a Curse into a Blessing: Enabling In-Distribution-Data-Free Backdoor Removal via Stabilized Model Inversion](https://mlsanity.com/paper/2206.07018/) (2022)
- [RAMP: Boosting Adversarial Robustness Against Multiple lp Perturbations for Universal Robustness](https://mlsanity.com/paper/2402.06827/) (2024)
- [Towards Generalized Certified Robustness with Multi-Norm Training](https://mlsanity.com/paper/2410.03000/) (2024)
- [Generalist++: A Meta-learning Framework for Mitigating Trade-off in Adversarial Training](https://mlsanity.com/paper/2510.13361/) (2025)
- [Parameter-Saving Adversarial Training: Reinforcing Multi-Perturbation Robustness via Hypernetworks](https://mlsanity.com/paper/2309.16207/) (2023)
- [PureEBM: Universal Poison Purification via Mid-Run Dynamics of Energy-Based Models](https://mlsanity.com/paper/2405.19376/) (2024)
- [RoME: Robust Mixture of Low-Rank Experts against Multiple Adversarial Perturbations](https://mlsanity.com/paper/2607.06109/) (2026)

## Abstract (arXiv)

Adversarial learning has emerged as one of the successful techniques to circumvent the susceptibility of existing methods against adversarial perturbations. However, the majority of existing defense methods are tailored to defend against a single category of adversarial perturbation (e.g. ℓ_∞-attack). In safety-critical applications, this makes these methods extraneous as the attacker can adopt diverse adversaries to deceive the system. Moreover, training on multiple perturbations simultaneously significantly increases the computational overhead during training. To address these challenges, we propose a novel meta-learning framework that explicitly learns to generate noise to improve the model's robustness against multiple types of attacks. Its key component is Meta Noise Generator (MNG) that outputs optimal noise to stochastically perturb a given sample, such that it helps lower the error on diverse adversarial perturbations. By utilizing samples generated by MNG, we train a model by enforcing the label consistency across multiple perturbations. We validate the robustness of models trained by our scheme on various datasets and against a wide variety of perturbations, demonstrating that it significantly outperforms the baselines across multiple perturbations with a marginal computational cost.
