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Verification of deep neural networks has witnessed a recent surge of interest, fueled by success stories in diverse domains and by abreast concerns about safety and security in envisaged applications. Complexity and sheer size of such…

Machine Learning · Computer Science 2020-03-18 Dario Guidotti , Francesco Leofante , Luca Pulina , Armando Tacchella

Neural Lyapunov and barrier certificates have recently been used as powerful tools for verifying the safety and stability properties of deep reinforcement learning (RL) controllers. However, existing methods offer guarantees only under…

Machine Learning · Computer Science 2026-02-06 Chengxiao Wang , Haoze Wu , Gagandeep Singh

Graph neural networks are becoming increasingly popular in the field of machine learning due to their unique ability to process data structured in graphs. They have also been applied in safety-critical environments where perturbations…

Machine Learning · Computer Science 2025-04-17 Tobias Ladner , Michael Eichelbeck , Matthias Althoff

The growing reliance on artificial intelligence in safety- and security-critical applications is raising concerns about the robustness of neural networks to erroneous or adversarial input. Certification is a methodology for ensuring model…

Machine Learning · Computer Science 2026-05-01 Anton Björklund , Mykola Zaitsev , Paolo Morettin , Marta Kwiatkowska

Deep Networks have been shown to provide state-of-the-art performance in many machine learning challenges. Unfortunately, they are susceptible to various types of noise, including adversarial attacks and corrupted inputs. In this work we…

Machine Learning · Computer Science 2019-09-12 Carlos Lassance , Vincent Gripon , Jian Tang , Antonio Ortega

Deep learning interpretation is essential to explain the reasoning behind model predictions. Understanding the robustness of interpretation methods is important especially in sensitive domains such as medical applications since…

Machine Learning · Computer Science 2019-10-21 Alexander Levine , Sahil Singla , Soheil Feizi

Verifying robustness of neural network classifiers has attracted great interests and attention due to the success of deep neural networks and their unexpected vulnerability to adversarial perturbations. Although finding minimum adversarial…

Machine Learning · Statistics 2018-11-30 Akhilan Boopathy , Tsui-Wei Weng , Pin-Yu Chen , Sijia Liu , Luca Daniel

We introduce a new framework for the exact point-wise $\ell_p$ robustness verification problem that exploits the layer-wise geometric structure of deep feed-forward networks with rectified linear activations (ReLU networks). The activation…

Machine Learning · Computer Science 2020-07-24 Cong Han Lim , Raquel Urtasun , Ersin Yumer

In this work we study input gradient regularization of deep neural networks, and demonstrate that such regularization leads to generalization proofs and improved adversarial robustness. The proof of generalization does not overcome the…

Machine Learning · Computer Science 2019-09-13 Chris Finlay , Jeff Calder , Bilal Abbasi , Adam Oberman

Deep neural networks for computer vision are deployed in increasingly safety-critical and socially-impactful applications, motivating the need to close the gap in model performance under varied, naturally occurring imaging conditions.…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Nathan Drenkow , Numair Sani , Ilya Shpitser , Mathias Unberath

Autonomous systems increasingly rely on machine learning techniques to transform high-dimensional raw inputs into predictions that are then used for decision-making and control. However, it is often easy to maliciously manipulate such…

Machine Learning · Computer Science 2023-02-07 Jinghan Yang , Hunmin Kim , Wenbin Wan , Naira Hovakimyan , Yevgeniy Vorobeychik

In safety-critical deep learning applications, robustness measures the ability of neural models that handle imperceptible perturbations in input data, which may lead to potential safety hazards. Existing pre-deployment robustness assessment…

Machine Learning · Computer Science 2025-08-27 Wenchuan Mu , Kwan Hui Lim

Learning-based methods could provide solutions to many of the long-standing challenges in control. However, the neural networks (NNs) commonly used in modern learning approaches present substantial challenges for analyzing the resulting…

Machine Learning · Computer Science 2022-02-03 Michael Everett

We consider the problem of certifying the robustness of deep neural networks against real-world distribution shifts. To do so, we bridge the gap between hand-crafted specifications and realistic deployment settings by proposing a novel…

Convex relaxations have emerged as a promising approach for verifying desirable properties of neural networks like robustness to adversarial perturbations. Widely used Linear Programming (LP) relaxations only work well when networks are…

Interpreting machine learning models is challenging but crucial for ensuring the safety of deep networks in autonomous driving systems. Due to the prevalence of deep learning based perception models in autonomous vehicles, accurately…

Machine Learning · Computer Science 2023-01-27 Alex Gu , Tsui-Wei Weng , Pin-Yu Chen , Sijia Liu , Luca Daniel

Many crucial tasks of image processing and computer vision are formulated as inverse problems. Thus, it is of great importance to design fast and robust algorithms to solve these problems. In this paper, we focus on generalized projected…

Image and Video Processing · Electrical Eng. & Systems 2025-12-09 Ali Joundi , Yann Traonmilin , Alasdair Newson

In deep learning applications, robustness measures the ability of neural models that handle slight changes in input data, which could lead to potential safety hazards, especially in safety-critical applications. Pre-deployment assessment of…

Software Engineering · Computer Science 2024-04-26 Wenchuan Mu , Kwan Hui Lim

Deep neural networks are widely used for nonlinear function approximation with applications ranging from computer vision to control. Although these networks involve the composition of simple arithmetic operations, it can be very challenging…

Machine Learning · Computer Science 2020-12-02 Changliu Liu , Tomer Arnon , Christopher Lazarus , Christopher Strong , Clark Barrett , Mykel J. Kochenderfer

The wide deployment of deep neural networks, though achieving great success in many domains, has severe safety and reliability concerns. Existing adversarial attack generation and automatic verification techniques cannot formally verify…

Machine Learning · Computer Science 2020-06-09 Weidi Sun , Yuteng Lu , Xiyue Zhang , Zhanxing Zhu , Meng Sun
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