# ADBA:Approximation Decision Boundary Approach for Black-Box Adversarial Attacks

arXiv: https://arxiv.org/abs/2406.04998 · HTML: https://mlsanity.com/paper/2406.04998/

## Key facts

- Cited by 8 papers in the map (data through 14 Oct 2026).
- Builds on 32 of its 43 references that are in the map.
- First posted on arXiv 7 Jun 2024.

## Builds on (most cited first, 30 of 32)

- [Deep Residual Learning for Image Recognition](https://mlsanity.com/paper/1512.03385/) (2015)
- [An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale](https://mlsanity.com/paper/2010.11929/) (2020)
- [Very Deep Convolutional Networks for Large-Scale Image Recognition](https://mlsanity.com/paper/1409.1556/) (2014)
- [Densely Connected Convolutional Networks](https://mlsanity.com/paper/1608.06993/) (2016)
- [EfficientNet: Rethinking Model Scaling for Convolutional Neural Networks](https://mlsanity.com/paper/1905.11946/) (2019)
- [Rethinking the Inception Architecture for Computer Vision](https://mlsanity.com/paper/1512.00567/) (2015)
- [ZOO: Zeroth Order Optimization based Black-box Attacks to Deep Neural Networks without Training Substitute Models](https://mlsanity.com/paper/1708.03999/) (2017)
- [Black-box Adversarial Attacks with Limited Queries and Information](https://mlsanity.com/paper/1804.08598/) (2018)
- [Decision-Based Adversarial Attacks: Reliable Attacks Against Black-Box Machine Learning Models](https://mlsanity.com/paper/1712.04248/) (2017)
- [HopSkipJumpAttack: A Query-Efficient Decision-Based Attack](https://mlsanity.com/paper/1904.02144/) (2019)
- [Adversarial Examples for Semantic Segmentation and Object Detection](https://mlsanity.com/paper/1703.08603/) (2017)
- [Deep Facial Expression Recognition: A Survey](https://mlsanity.com/paper/1804.08348/) (2018)
- [Enhancing the Transferability of Adversarial Attacks through Variance Tuning](https://mlsanity.com/paper/2103.15571/) (2021)
- [Improving Adversarial Robustness via Promoting Ensemble Diversity](https://mlsanity.com/paper/1901.08846/) (2019)
- [Query-Efficient Hard-label Black-box Attack:An Optimization-based Approach](https://mlsanity.com/paper/1807.04457/) (2018)
- [Sign-OPT: A Query-Efficient Hard-label Adversarial Attack](https://mlsanity.com/paper/1909.10773/) (2019)
- [QEBA: Query-Efficient Boundary-Based Blackbox Attack](https://mlsanity.com/paper/2005.14137/) (2020)
- [RayS: A Ray Searching Method for Hard-label Adversarial Attack](https://mlsanity.com/paper/2006.12792/) (2020)
- [GeoDA: a geometric framework for black-box adversarial attacks](https://mlsanity.com/paper/2003.06468/) (2020)
- [SurFree: a fast surrogate-free black-box attack](https://mlsanity.com/paper/2011.12807/) (2020)
- [Parsimonious Black-Box Adversarial Attacks via Efficient Combinatorial Optimization](https://mlsanity.com/paper/1905.06635/) (2019)
- [Triangle Attack: A Query-efficient Decision-based Adversarial Attack](https://mlsanity.com/paper/2112.06569/) (2021)
- [Guessing Smart: Biased Sampling for Efficient Black-Box Adversarial Attacks](https://mlsanity.com/paper/1812.09803/) (2018)
- [Does Physical Adversarial Example Really Matter to Autonomous Driving? Towards System-Level Effect of Adversarial Object Evasion Attack](https://mlsanity.com/paper/2308.11894/) (2023)
- [A Frank-Wolfe Framework for Efficient and Effective Adversarial Attacks](https://mlsanity.com/paper/1811.10828/) (2018)
- [Physical-World Optical Adversarial Attacks on 3D Face Recognition](https://mlsanity.com/paper/2205.13412/) (2022)
- [A geometry-inspired decision-based attack](https://mlsanity.com/paper/1903.10826/) (2019)
- [CGBA: Curvature-aware Geometric Black-box Attack](https://mlsanity.com/paper/2308.03163/) (2023)
- [Towards Benchmarking and Assessing Visual Naturalness of Physical World Adversarial Attacks](https://mlsanity.com/paper/2305.12863/) (2023)
- [Decision-based Black-box Attack Against Vision Transformers via Patch-wise Adversarial Removal](https://mlsanity.com/paper/2112.03492/) (2021)

## Built on by (most cited first, 8 of 8)

- [CREDIT: Certified Ownership Verification of Deep Neural Networks Against Model Extraction Attacks](https://mlsanity.com/paper/2602.20419/) (2026)
- [SafeRedir: Prompt Embedding Redirection for Robust Unlearning in Image Generation Models](https://mlsanity.com/paper/2601.08623/) (2026)
- [RDI: An adversarial robustness evaluation metric for deep neural networks based on model statistical features](https://mlsanity.com/paper/2504.18556/) (2025)
- [OTI: A Model-free and Visually Interpretable Measure of Image Attackability](https://mlsanity.com/paper/2601.17536/) (2026)
- [Latent Danger Zone: Distilling Unified Attention for Cross-Architecture Black-box Attacks](https://mlsanity.com/paper/2509.19044/) (2025)
- [FBA2D: Frequency-based Black-box Attack for AI-generated Image Detection](https://mlsanity.com/paper/2512.09264/) (2025)
- [Low-Cost Hard-Label Adversarial Attack with Theoretical Foundations](https://mlsanity.com/paper/2601.14300/) (2026)
- [AIRRI: Towards a Human-Readable, Machine-Resistant Reading Interface](https://mlsanity.com/paper/2610.18724/) (2026)

## Abstract (arXiv)

Many machine learning models are susceptible to adversarial attacks, with decision-based black-box attacks representing the most critical threat in real-world applications. These attacks are extremely stealthy, generating adversarial examples using hard labels obtained from the target machine learning model. This is typically realized by optimizing perturbation directions, guided by decision boundaries identified through query-intensive exact search, significantly limiting the attack success rate. This paper introduces a novel approach using the Approximation Decision Boundary (ADB) to efficiently and accurately compare perturbation directions without precisely determining decision boundaries. The effectiveness of our ADB approach (ADBA) hinges on promptly identifying suitable ADB, ensuring reliable differentiation of all perturbation directions. For this purpose, we analyze the probability distribution of decision boundaries, confirming that using the distribution's median value as ADB can effectively distinguish different perturbation directions, giving rise to the development of the ADBA-md algorithm. ADBA-md only requires four queries on average to differentiate any pair of perturbation directions, which is highly query-efficient. Extensive experiments on six well-known image classifiers clearly demonstrate the superiority of ADBA and ADBA-md over multiple state-of-the-art black-box attacks. The source code is available at https://github.com/BUPTAIOC/ADBA.
