# Boosting Jailbreak Attack with Momentum

arXiv: https://arxiv.org/abs/2405.01229 · HTML: https://mlsanity.com/paper/2405.01229/

## Key facts

- Cited by 40 papers in the map (data through 14 Oct 2026).
- Placed in Jailbreaking, one of 12 directions in LLM safety and security.
- Builds on 38 of its 58 references that are in the map.
- First posted on arXiv 2 May 2024.

## Placed in

- LLM safety and security / [Jailbreaking](https://mlsanity.com/safety/jailbreaking/)

## Builds on (most cited first, 30 of 38)

- [Training language models to follow instructions with human feedback](https://mlsanity.com/paper/2203.02155/) (2022)
- [Judging LLM-as-a-Judge with MT-Bench and Chatbot Arena](https://mlsanity.com/paper/2306.05685/) (2023)
- [Explaining and Harnessing Adversarial Examples](https://mlsanity.com/paper/1412.6572/) (2014)
- [Intriguing properties of neural networks](https://mlsanity.com/paper/1312.6199/) (2013)
- [Training a Helpful and Harmless Assistant with Reinforcement Learning from Human Feedback](https://mlsanity.com/paper/2204.05862/) (2022)
- [Universal and Transferable Adversarial Attacks on Aligned Language Models](https://mlsanity.com/paper/2307.15043/) (2023)
- [Jailbroken: How Does LLM Safety Training Fail?](https://mlsanity.com/paper/2307.02483/) (2023)
- [Reliable evaluation of adversarial robustness with an ensemble of diverse parameter-free attacks](https://mlsanity.com/paper/2003.01690/) (2020)
- [Representation Engineering: A Top-Down Approach to AI Transparency](https://mlsanity.com/paper/2310.01405/) (2023)
- [Obfuscated Gradients Give a False Sense of Security: Circumventing Defenses to Adversarial Examples](https://mlsanity.com/paper/1802.00420/) (2018)
- [Fine-tuning Aligned Language Models Compromises Safety, Even When Users Do Not Intend To!](https://mlsanity.com/paper/2310.03693/) (2023)
- [AutoDAN: Generating Stealthy Jailbreak Prompts on Aligned Large Language Models](https://mlsanity.com/paper/2310.04451/) (2023)
- [Baseline Defenses for Adversarial Attacks Against Aligned Language Models](https://mlsanity.com/paper/2309.00614/) (2023)
- [How Johnny Can Persuade LLMs to Jailbreak Them: Rethinking Persuasion to Challenge AI Safety by Humanizing LLMs](https://mlsanity.com/paper/2401.06373/) (2024)
- [Adversarial Examples Are Not Easily Detected: Bypassing Ten Detection Methods](https://mlsanity.com/paper/1705.07263/) (2017)
- [Jailbreaking ChatGPT via Prompt Engineering: An Empirical Study](https://mlsanity.com/paper/2305.13860/) (2023)
- [Detecting Language Model Attacks with Perplexity](https://mlsanity.com/paper/2308.14132/) (2023)
- [Jailbreak and Guard Aligned Language Models with Only Few In-Context Demonstrations](https://mlsanity.com/paper/2310.06387/) (2023)
- [GPT-4 Is Too Smart To Be Safe: Stealthy Chat with LLMs via Cipher](https://mlsanity.com/paper/2308.06463/) (2023)
- [A Survey on Large Language Model (LLM) Security and Privacy: The Good, the Bad, and the Ugly](https://mlsanity.com/paper/2312.02003/) (2023)
- [StruQ: Defending Against Prompt Injection with Structured Queries](https://mlsanity.com/paper/2402.06363/) (2024)
- [DeepInception: Hypnotize Large Language Model to Be Jailbreaker](https://mlsanity.com/paper/2311.03191/) (2023)
- [Hard Prompts Made Easy: Gradient-Based Discrete Optimization for Prompt Tuning and Discovery](https://mlsanity.com/paper/2302.03668/) (2023)
- [Certifying LLM Safety against Adversarial Prompting](https://mlsanity.com/paper/2309.02705/) (2023)
- [SafeDecoding: Defending against Jailbreak Attacks via Safety-Aware Decoding](https://mlsanity.com/paper/2402.08983/) (2024)
- [Gradient-based Adversarial Attacks against Text Transformers](https://mlsanity.com/paper/2104.13733/) (2021)
- [Defending Against Alignment-Breaking Attacks via Robustly Aligned LLM](https://mlsanity.com/paper/2309.14348/) (2023)
- [How Robust is Google's Bard to Adversarial Image Attacks?](https://mlsanity.com/paper/2309.11751/) (2023)
- [Robust Prompt Optimization for Defending Language Models Against Jailbreaking Attacks](https://mlsanity.com/paper/2401.17263/) (2024)
- [Jatmo: Prompt Injection Defense by Task-Specific Finetuning](https://mlsanity.com/paper/2312.17673/) (2023)

## Built on by (most cited first, 30 of 40)

- [Advances and Challenges in Foundation Agents: From Brain-Inspired Intelligence to Evolutionary, Collaborative, and Safe Systems](https://mlsanity.com/paper/2504.01990/) (2025)
- [Improved Techniques for Optimization-Based Jailbreaking on Large Language Models](https://mlsanity.com/paper/2405.21018/) (2024)
- [FlipAttack: Jailbreak LLMs via Flipping](https://mlsanity.com/paper/2410.02832/) (2024)
- [Large Language Model Safety: A Holistic Survey](https://mlsanity.com/paper/2412.17686/) (2024)
- [A Theoretical Understanding of Self-Correction through In-context Alignment](https://mlsanity.com/paper/2405.18634/) (2024)
- [Emoji Attack: Enhancing Jailbreak Attacks Against Judge LLM Detection](https://mlsanity.com/paper/2411.01077/) (2024)
- [MAGIC: A Co-Evolving Attacker-Defender Adversarial Game for Robust LLM Safety](https://mlsanity.com/paper/2602.01539/) (2026)
- [Efficient Universal Goal Hijacking with Semantics-guided Prompt Organization](https://mlsanity.com/paper/2405.14189/) (2024)
- [May I have your Attention? Breaking Fine-Tuning based Prompt Injection Defenses using Architecture-Aware Attacks](https://mlsanity.com/paper/2507.07417/) (2025)
- [AutoJailbreak: Exploring Jailbreak Attacks and Defenses through a Dependency Lens](https://mlsanity.com/paper/2406.03805/) (2024)
- [LLM Jailbreak Detection for (Almost) Free!](https://mlsanity.com/paper/2509.14558/) (2025)
- [One Model Transfer to All: On Robust Jailbreak Prompts Generation against LLMs](https://mlsanity.com/paper/2505.17598/) (2025)
- [Jailbreak Attack Initializations as Extractors of Compliance Directions](https://mlsanity.com/paper/2502.09755/) (2025)
- [Stronger Enforcement of Instruction Hierarchy via Augmented Intermediate Representations](https://mlsanity.com/paper/2505.18907/) (2025)
- [Towards the Worst-case Robustness of Large Language Models](https://mlsanity.com/paper/2501.19040/) (2025)
- [AutoRAN: Automated Hijacking of Safety Reasoning in Large Reasoning Models](https://mlsanity.com/paper/2505.10846/) (2025)
- [Scalable Defense against In-the-wild Jailbreaking Attacks with Safety Context Retrieval](https://mlsanity.com/paper/2505.15753/) (2025)
- [Knowledge-Driven Multi-Turn Jailbreaking on Large Language Models](https://mlsanity.com/paper/2601.05445/) (2026)
- [Mask-GCG: Are All Tokens in Adversarial Suffixes Necessary for Jailbreak Attacks?](https://mlsanity.com/paper/2509.06350/) (2025)
- [Geneshift: Impact of different scenario shift on Jailbreaking LLM](https://mlsanity.com/paper/2504.08104/) (2025)
- [When Good Sounds Go Adversarial: Jailbreaking Audio-Language Models with Benign Inputs](https://mlsanity.com/paper/2508.03365/) (2025)
- [On Surjectivity of Neural Networks: Can you elicit any behavior from your model?](https://mlsanity.com/paper/2508.19445/) (2025)
- [Imperceptible Jailbreaking against Large Language Models](https://mlsanity.com/paper/2510.05025/) (2025)
- [NonTextual Target Attack](https://mlsanity.com/paper/2510.02999/) (2025)
- [SoK: Robustness in Large Language Models against Jailbreak Attacks](https://mlsanity.com/paper/2605.05058/) (2026)
- [BitBypass: A New Direction in Jailbreaking Aligned Large Language Models with Bitstream Camouflage](https://mlsanity.com/paper/2506.02479/) (2025)
- [EquaCode: A Multi-Strategy Jailbreak Approach for Large Language Models via Equation Solving and Code Completion](https://mlsanity.com/paper/2512.23173/) (2025)
- [TAO-Attack: Toward Advanced Optimization-Based Jailbreak Attacks for Large Language Models](https://mlsanity.com/paper/2603.03081/) (2026)
- [Unsafe by Reciprocity: How Generation-Understanding Coupling Undermines Safety in Unified Multimodal Models](https://mlsanity.com/paper/2603.27332/) (2026)
- [SlotGCG: Exploiting the Positional Vulnerability in LLMs for Jailbreak Attacks](https://mlsanity.com/paper/2606.05609/) (2026)

## Abstract (arXiv)

Large Language Models (LLMs) have achieved remarkable success across diverse tasks, yet they remain vulnerable to adversarial attacks, notably the well-known jailbreak attack. In particular, the Greedy Coordinate Gradient (GCG) attack has demonstrated efficacy in exploiting this vulnerability by optimizing adversarial prompts through a combination of gradient heuristics and greedy search. However, the efficiency of this attack has become a bottleneck in the attacking process. To mitigate this limitation, in this paper we rethink the generation of the adversarial prompts through an optimization lens, aiming to stabilize the optimization process and harness more heuristic insights from previous optimization iterations. Specifically, we propose the Momentum Accelerated GCG (MAC) attack, which integrates a momentum term into the gradient heuristic to boost and stabilize the random search for tokens in adversarial prompts. Experimental results showcase the notable enhancement achieved by MAC over baselines in terms of attack success rate and optimization efficiency. Moreover, we demonstrate that MAC can still exhibit superior performance for transfer attacks and models under defense mechanisms. Our code is available at https://github.com/weizeming/momentum-attack-llm.