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Deep neural networks have been widely deployed in various machine learning tasks. However, recent works have demonstrated that they are vulnerable to adversarial examples: carefully crafted small perturbations to cause misclassification by…

Machine Learning · Computer Science 2019-03-01 Ke Sun , Zhanxing Zhu , Zhouchen Lin

We present Border-SegGCN, a novel architecture to improve semantic segmentation by refining the border outline using graph convolutional networks (GCN). The semantic segmentation network such as Unet or DeepLabV3+ is used as a base network…

Computer Vision and Pattern Recognition · Computer Science 2021-09-14 Naina Dhingra , George Chogovadze , Andreas Kunz

Deep neural networks (DNNs) have been shown lack of robustness for the vulnerability of their classification to small perturbations on the inputs. This has led to safety concerns of applying DNNs to safety-critical domains. Several…

Machine Learning · Computer Science 2021-02-24 Jianlin Li , Pengfei Yang , Jiangchao Liu , Liqian Chen , Xiaowei Huang , Lijun Zhang

Neural networks are commonly used in safety-critical real-world applications. Unfortunately, the predicted output is often highly sensitive to small, and possibly imperceptible, changes to the input data. Proving that either no such…

Machine Learning · Computer Science 2021-02-03 Christopher Brix , Thomas Noll

Concerned with the reliability of neural networks, researchers have developed verification techniques to prove their robustness. Most verifiers work with real-valued networks. Unfortunately, the exact (complete and sound) verifiers face…

Artificial Intelligence · Computer Science 2020-10-28 Kai Jia , Martin Rinard

Certifiable robustness is a highly desirable property for adopting deep neural networks (DNNs) in safety-critical scenarios, but often demands tedious computations to establish. The main hurdle lies in the massive amount of non-linearity in…

Machine Learning · Computer Science 2022-06-17 Tianlong Chen , Huan Zhang , Zhenyu Zhang , Shiyu Chang , Sijia Liu , Pin-Yu Chen , Zhangyang Wang

We present the Branch-and-Bound Performance Estimation Programming (BnB-PEP), a unified methodology for constructing optimal first-order methods for convex and nonconvex optimization. BnB-PEP poses the problem of finding the optimal…

Optimization and Control · Mathematics 2023-06-09 Shuvomoy Das Gupta , Bart P. G. Van Parys , Ernest K. Ryu

Lipschitz Bound Estimation is an effective method of regularizing deep neural networks to make them robust against adversarial attacks. This is useful in a variety of applications ranging from reinforcement learning to autonomous systems.…

Machine Learning · Computer Science 2022-07-18 Sarosij Bose

Logic-based methods for explaining neural network decisions offer formal guarantees of correctness and non-redundancy, but they often suffer from high computational costs, especially for large networks. In this work, we improve the…

Logic in Computer Science · Computer Science 2026-03-03 Ronaldo Gomes , Jairo Ribeiro , Luiz Queiroz , Thiago Alves Rocha

As spiking neural networks (SNNs) are deployed increasingly in real-world efficiency critical applications, the security concerns in SNNs attract more attention. Currently, researchers have already demonstrated an SNN can be attacked with…

Neural and Evolutionary Computing · Computer Science 2022-05-04 Ling Liang , Kaidi Xu , Xing Hu , Lei Deng , Yuan Xie

Training Deep Neural Networks that are robust to norm bounded adversarial attacks remains an elusive problem. While exact and inexact verification-based methods are generally too expensive to train large networks, it was demonstrated that…

Machine Learning · Computer Science 2021-06-15 Salman Alsubaihi , Adel Bibi , Modar Alfadly , Abdullah Hamdi , Bernard Ghanem

Traditional verification methods in chip design are highly time-consuming and computationally demanding, especially for large scale circuits. Graph neural networks (GNNs) have gained popularity as a potential solution to improve…

Machine Learning · Computer Science 2025-12-15 Kiran Thorat , Hongwu Peng , Yuebo Luo , Xi Xie , Shaoyi Huang , Amit Hasan , Jiahui Zhao , Yingjie Li , Zhijie Shi , Cunxi Yu , Caiwen Ding

Interval Bound Propagation (IBP) is so far the base of state-of-the-art methods for training neural networks with certifiable robustness guarantees when potential adversarial perturbations present, while the convergence of IBP training…

Machine Learning · Computer Science 2022-03-18 Yihan Wang , Zhouxing Shi , Quanquan Gu , Cho-Jui Hsieh

The increasing integration of deep neural networks in critical systems has spawned a theoretical and practical interest in formally guaranteeing safety properties about their behavior. To achieve this, contemporary verification algorithms…

Logic in Computer Science · Computer Science 2026-05-29 Ido Shmuel , Guy Katz

Convolutional neural networks have gained vast popularity due to their excellent performance in the fields of computer vision, image processing, and others. Unfortunately, it is now well known that convolutional networks often produce…

Machine Learning · Computer Science 2022-01-07 Matan Ostrovsky , Clark Barrett , Guy Katz

We present a new method to propagate lower bounds on conditional probability distributions in conventional Bayesian networks. Our method guarantees to provide outer approximations of the exact lower bounds. A key advantage is that we can…

Artificial Intelligence · Computer Science 2012-05-14 Daniel Andrade , Bernhard Sick

Deep neural networks have been widely adopted in many vision and robotics applications with visual inputs. It is essential to verify its robustness against semantic transformation perturbations, such as brightness and contrast. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-10-02 Hanjiang Hu , Bowei Li , Ziwei Wang , Tianhao Wei , Casidhe Hutchison , Eric Sample , Changliu Liu

The robustness of convolutional neural networks (CNNs) is vital to modern AI-driven systems. It can be quantified by formal verification by providing a certified lower bound, within which any perturbation does not alter the original input's…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Yuan Xiao , Shiqing Ma , Juan Zhai , Chunrong Fang , Jinyuan Jia , Zhenyu Chen

A robustness certificate is the minimum distance of a given input to the decision boundary of the classifier (or its lower bound). For {\it any} input perturbations with a magnitude smaller than the certificate value, the classification…

Machine Learning · Computer Science 2020-06-02 Sahil Singla , Soheil Feizi

Feedforward fully convolutional neural networks currently dominate in semantic segmentation of 3D point clouds. Despite their great success, they suffer from the loss of local information at low-level layers, posing significant challenges…

Computer Vision and Pattern Recognition · Computer Science 2023-03-27 Shenglan Du , Nail Ibrahimli , Jantien Stoter , Julian Kooij , Liangliang Nan