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Neural network verification mainly focuses on local robustness properties, which can be checked by bounding the image (set of outputs) of a given input set. However, often it is important to know whether a given property holds globally for…

Software Engineering · Computer Science 2024-01-30 Xiyue Zhang , Benjie Wang , Marta Kwiatkowska

Estimating the absolute orientation of a local system relative to a global navigation satellite system (GNSS) reference often suffers from local minima and high dependency on satellite availability. Existing methods for this alignment task…

Robotics · Computer Science 2026-05-20 Baoshan Song , Matthew Giamou , Penggao Yan , Chunxi Xia , Li-Ta Hsu

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

Several recently proposed architectures of neural networks such as ResNeXt, Inception, Xception, SqueezeNet and Wide ResNet are based on the designing idea of having multiple branches and have demonstrated improved performance in many…

Machine Learning · Computer Science 2018-08-26 Hongyang Zhang , Junru Shao , Ruslan Salakhutdinov

We propose a branch flow model for the anal- ysis and optimization of mesh as well as radial networks. The model leads to a new approach to solving optimal power flow (OPF) that consists of two relaxation steps. The first step eliminates…

Systems and Control · Computer Science 2013-04-15 Masoud Farivar , Steven H. Low

Ensuring safety in autonomous systems with vision-based control remains a critical challenge due to the high dimensionality of image inputs and the fact that the relationship between true system state and its visual manifestation is…

Robotics · Computer Science 2025-11-12 Xinhang Ma , Junlin Wu , Hussein Sibai , Yiannis Kantaros , Yevgeniy Vorobeychik

Functional verification constitutes one of the most challenging tasks in the development of modern hardware systems, and simulation-based verification techniques dominate the functional verification landscape. A dominant paradigm in…

Logic in Computer Science · Computer Science 2013-04-08 Supratik Chakraborty , Kuldeep S. Meel , Moshe Y. Vardi

With deep neural networks providing state-of-the-art machine learning models for numerous machine learning tasks, quantifying the robustness of these models has become an important area of research. However, most of the research literature…

Machine Learning · Computer Science 2019-01-08 Tsui-Wei Weng , Pin-Yu Chen , Lam M. Nguyen , Mark S. Squillante , Ivan Oseledets , Luca Daniel

Deep Neural Networks (DNN) have emerged as an effective approach to tackling real-world problems. However, like human-written software, DNNs are susceptible to bugs and attacks. This has generated significant interests in developing…

Machine Learning · Computer Science 2024-01-29 Hai Duong , Dong Xu , ThanhVu Nguyen , Matthew B. Dwyer

Bounded model checking is among the most efficient techniques for the automatic verification of concurrent programs. However, encoding all possible interleavings often requires a huge and complex formula, which significantly limits the…

Programming Languages · Computer Science 2018-04-04 Liangze Yin , Wei Dong , Wanwei Liu , Ji Wang

Formal verification of neural networks is an active topic of research, and recent advances have significantly increased the size of the networks that verification tools can handle. However, most methods are designed for verification of an…

Artificial Intelligence · Computer Science 2022-04-06 Thomas A. Henzinger , Mathias Lechner , Đorđe Žikelić

With the increase in data availability, it has been widely demonstrated that neural networks (NN) can capture complex system dynamics precisely in a data-driven manner. However, the architectural complexity and nonlinearity of the NNs make…

Systems and Control · Electrical Eng. & Systems 2023-08-29 Shaoru Chen , Kong Yao Chee , Nikolai Matni , M. Ani Hsieh , George J. Pappas

The neural network has become an integral part of modern software systems. However, they still suffer from various problems, in particular, vulnerability to adversarial attacks. In this work, we present a novel program reasoning framework…

Artificial Intelligence · Computer Science 2023-03-27 Zi Wang , Somesh Jha , Krishnamurthy , Dvijotham

Neural network controllers have shown potential in achieving superior performance in feedback control systems. Although a neural network can be trained efficiently using deep and reinforcement learning methods, providing formal guarantees…

Optimization and Control · Mathematics 2024-01-10 Han Wang , Zuxun Xiong , Liqun Zhao , Antonis Papachristodoulou

Graph neural networks (GNNs) are increasingly often employed in high-stakes applications, such as fraud detection or healthcare, but are susceptible to adversarial attacks. A number of techniques have been proposed to provide adversarial…

Machine Learning · Computer Science 2026-05-14 Minghao Liu , Chia-Hsuan Lu , Marta Kwiatkowska

Neural networks are increasingly applied to support decision making in safety-critical applications (like autonomous cars, unmanned aerial vehicles and face recognition based authentication). While many impressive static verification…

Machine Learning · Computer Science 2021-05-07 Guoliang Dong , Jun Sun , Jingyi Wang , Xinyu Wang , Ting Dai

When validated neural networks (NNs) are pruned (and retrained) before deployment, it is desirable to prove that the new NN behaves equivalently to the (original) reference NN. To this end, our paper revisits the idea of differential…

Machine Learning · Computer Science 2025-07-14 Samuel Teuber , Philipp Kern , Marvin Janzen , Bernhard Beckert

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

The use of neural networks as function approximators has enabled many advances in reinforcement learning (RL). The generalization power of neural networks combined with advances in RL algorithms has reignited the field of artificial…

Machine Learning · Computer Science 2022-03-14 Christopher Lazarus , Mykel J. Kochenderfer

Deep neural networks (DNNs) are becoming a key component in diverse systems across the board. However, despite their success, they often err miserably; and this has triggered significant interest in formally verifying them. Unfortunately,…

Logic in Computer Science · Computer Science 2023-05-31 Raya Elsaleh , Guy Katz