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Neural networks offer a computationally efficient approximation of model predictive control, but they lack guarantees on the resulting controlled system's properties. Formal certification of neural networks is crucial for ensuring safety,…

Optimization and Control · Mathematics 2025-02-05 Philip Sosnin , Calvin Tsay

Despite achieving excellent performance on benchmarks, deep neural networks often underperform in real-world deployment due to sensitivity to minor, often imperceptible shifts in input data, known as distributional shifts. These shifts are…

Machine Learning · Computer Science 2025-09-25 Birk Torpmann-Hagen , Pål Halvorsen , Michael A. Riegler , Dag Johansen

Intrusion Detection is an invaluable part of computer networks defense. An important consideration is the fact that raising false alarms carries a significantly lower cost than not detecting at- tacks. For this reason, we examine how…

Cryptography and Security · Computer Science 2008-07-15 Aikaterini Mitrokotsa , Christos Dimitrakakis , Christos Douligeris

X-ray security screening is in widespread use to maintain transportation security against a wide range of potential threat profiles. Of particular interest is the recent focus on the use of automated screening approaches, including the…

Computer Vision and Pattern Recognition · Computer Science 2019-11-20 Neelanjan Bhowmik , Yona Falinie A. Gaus , Samet Akcay , Jack W. Barker , Toby P. Breckon

We present a novel technique for online safety verification of autonomous systems, which performs reachability analysis efficiently for both bounded and unbounded horizons by employing neural barrier certificates. Our approach uses barrier…

Systems and Control · Electrical Eng. & Systems 2024-04-30 Alessandro Abate , Sergiy Bogomolov , Alec Edwards , Kostiantyn Potomkin , Sadegh Soudjani , Paolo Zuliani

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

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

The increasing importance of both deep neural networks (DNNs) and cloud services for training them means that bad actors have more incentive and opportunity to insert backdoors to alter the behavior of trained models. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2022-12-19 Khondoker Murad Hossain , Tim Oates

Deep neural networks (DNNs) are increasingly being employed in safety-critical systems, and there is an urgent need to guarantee their correctness. Consequently, the verification community has devised multiple techniques and tools for…

Logic in Computer Science · Computer Science 2022-08-30 Omri Isac , Clark Barrett , Min Zhang , Guy Katz

Neural networks have demonstrated considerable success on a wide variety of real-world problems. However, networks trained only to optimize for training accuracy can often be fooled by adversarial examples - slightly perturbed inputs that…

Machine Learning · Computer Science 2019-02-19 Vincent Tjeng , Kai Xiao , Russ Tedrake

In recent years, Deep Reinforcement Learning (DRL) has emerged as an effective approach to solving real-world tasks. However, despite their successes, DRL-based policies suffer from poor reliability, which limits their deployment in…

Machine Learning · Computer Science 2024-06-24 Davide Corsi , Guy Amir , Andoni Rodriguez , Cesar Sanchez , Guy Katz , Roy Fox

In this paper we investigate formal verification problems for Neural Network computations. Of central importance will be various robustness and minimization problems such as: Given symbolic specifications of allowed inputs and outputs in…

Artificial Intelligence · Computer Science 2024-03-21 Adrian Wurm

The superior performance of Deep Neural Networks (DNNs) has led to their application in various aspects of human life. Safety-critical applications are no exception and impose rigorous reliability requirements on DNNs. Quantized Neural…

Machine Learning · Computer Science 2023-06-19 Mohammad Hasan Ahmadilivani , Mahdi Taheri , Jaan Raik , Masoud Daneshtalab , Maksim Jenihhin

Tight and efficient neural network bounding is crucial to the scaling of neural network verification systems. Many efficient bounding algorithms have been presented recently, but they are often too loose to verify more challenging…

Machine Learning · Computer Science 2024-02-27 Alessandro De Palma , Harkirat Singh Behl , Rudy Bunel , Philip H. S. Torr , M. Pawan Kumar

Polynomial Networks (PNs) have demonstrated promising performance on face and image recognition recently. However, robustness of PNs is unclear and thus obtaining certificates becomes imperative for enabling their adoption in real-world…

Machine Learning · Computer Science 2022-10-25 Elias Abad Rocamora , Mehmet Fatih Sahin , Fanghui Liu , Grigorios G Chrysos , Volkan Cevher

Neural networks achieve strong empirical performance, but robustness concerns still hinder deployment in safety-critical applications. Formal verification provides robustness guarantees, but current methods face a scalability-completeness…

Machine Learning · Computer Science 2026-02-06 Wenting Li , Saif R. Kazi , Russell Bent , Duo Zhou , Huan Zhang

Neural networks (NNs) can achieved high performance in various fields such as computer vision, and natural language processing. However, deploying NNs in resource-constrained safety-critical systems has challenges due to uncertainty in the…

Machine Learning · Computer Science 2024-01-17 Soyed Tuhin Ahmed

While abstraction is a classic tool of verification to scale it up, it is not used very often for verifying neural networks. However, it can help with the still open task of scaling existing algorithms to state-of-the-art network…

Logic in Computer Science · Computer Science 2020-06-25 Pranav Ashok , Vahid Hashemi , Jan Křetínský , Stefanie Mohr

Deep learning-based techniques have achieved state-of-the-art performance on a wide variety of recognition and classification tasks. However, these networks are typically computationally expensive to train, requiring weeks of computation on…

Cryptography and Security · Computer Science 2019-03-13 Tianyu Gu , Brendan Dolan-Gavitt , Siddharth Garg

The numerical solution of differential equations using neural networks has become a central topic in scientific computing, with Physics-Informed Neural Networks (PINNs) emerging as a powerful paradigm for both forward and inverse problems.…

Machine Learning · Computer Science 2026-01-28 Kazuaki Tanaka , Kohei Yatabe