Precise and Generalized Robustness Certification for Neural Networks
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Abstract (arXiv)
The objective of neural network (NN) robustness certification is to determine if a NN changes its predictions when mutations are made to its inputs. While most certification research studies pixel-level or a few geometrical-level and blurring operations over images, this paper proposes a novel framework, GCERT, which certifies NN robustness under a precise and unified form of diverse semantic-level image mutations. We formulate a comprehensive set of semantic-level image mutations uniformly as certain directions in the latent space of generative models. We identify two key properties, independence and continuity, that convert the latent space into a precise and analysis-friendly input space representation for certification. GCERT can be smoothly integrated with de facto complete, incomplete, or quantitative certification frameworks. With its precise input space representation, GCERT enables for the first time complete NN robustness certification with moderate cost under diverse semantic-level input mutations, such as weather-filter, style transfer, and perceptual changes (e.g., opening/closing eyes). We show that GCERT enables certifying NN robustness under various common and security-sensitive scenarios like autonomous driving.
Key facts. Cited by 4 papers in the map (data through 14 Oct 2026). Builds on 47 of its 74 references that are in the map. First posted on arXiv 11 Jun 2023.
Builds on
47 of 74 references.
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35 more
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Built on by
Citing papers per year: 2024: 1; 2025: 0; 2026: 3.
4 papers.
- 2024Adversarial Feature Alignment: Balancing Robustness and Accuracy in Deep Learning via Adversarial Trainingcited by 5
- 2026Systematic Discovery of Semantic Attacks in Online Map Construction through Conditional Diffusioncited by 1
- 2026Semantic Robustness Certification for Vision-Language Modelscited by 1
- 2026Towards Compact and Robust DNNs via Compression-aware Sharpness Minimizationcited by 0
- 2026Semantic Robustness Certification for Vision-Language Models17 Jun 2026
- 2026Systematic Discovery of Semantic Attacks in Online Map Construction through Conditional Diffusion14 May 2026
- 2026Towards Compact and Robust DNNs via Compression-aware Sharpness Minimization28 Jan 2026
- 2024Adversarial Feature Alignment: Balancing Robustness and Accuracy in Deep Learning via Adversarial Training19 Feb 2024