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Related papers: Learning Minimal Neural Specifications

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Having reliable specifications is an unavoidable challenge in achieving verifiable correctness, robustness, and interpretability of AI systems. Existing specifications for neural networks are in the paradigm of data as specification. That…

Machine Learning · Computer Science 2023-03-20 Chuqin Geng , Nham Le , Xiaojie Xu , Zhaoyue Wang , Arie Gurfinkel , Xujie Si

This paper addresses the problem of formally verifying desirable properties of neural networks, i.e., obtaining provable guarantees that neural networks satisfy specifications relating their inputs and outputs (robustness to bounded norm…

Machine Learning · Computer Science 2018-08-06 Krishnamurthy , Dvijotham , Robert Stanforth , Sven Gowal , Timothy Mann , Pushmeet Kohli

The success of neural networks across most machine learning tasks and the persistence of adversarial examples have made the verification of such models an important quest. Several techniques have been successfully developed to verify…

Machine Learning · Computer Science 2019-10-14 Nathanaël Fijalkow , Mohit Kumar Gupta

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

Neural networks are becoming increasingly prevalent in software, and it is therefore important to be able to verify their behavior. Because verifying the correctness of neural networks is extremely challenging, it is common to focus on the…

Machine Learning · Computer Science 2019-02-19 Ravi Mangal , Aditya V. Nori , Alessandro Orso

Current approaches to neural network verification focus on specifications that target small regions around known input data points, such as local robustness. Thus, using these approaches, we can not obtain guarantees for inputs that are not…

Machine Learning · Computer Science 2023-06-23 David Boetius , Stefan Leue

Neural networks are vulnerable to adversarial attacks, i.e., small input perturbations can significantly affect the outputs of a neural network. Therefore, to ensure safety of neural networks in safety-critical environments, the robustness…

Machine Learning · Computer Science 2025-08-06 Lukas Koller , Tobias Ladner , Matthias Althoff

Prior work on neural network verification has focused on specifications that are linear functions of the output of the network, e.g., invariance of the classifier output under adversarial perturbations of the input. In this paper, we extend…

Formal verification provides critical security assurances for neural networks, yet its practical application suffers from the long verification time. This work introduces a novel method for training verification-friendly neural networks,…

Machine Learning · Computer Science 2024-12-31 Zongxin Liu , Zhe Zhao , Fu Song , Jun Sun , Pengfei Yang , Xiaowei Huang , Lijun Zhang

With the proliferation of Deep Machine Learning into real-life applications, a particular property of this technology has been brought to attention: robustness Neural Networks notoriously present low robustness and can be highly sensitive…

Computation and Language · Computer Science 2022-07-14 Marco Casadio , Ekaterina Komendantskaya , Verena Rieser , Matthew L. Daggitt , Daniel Kienitz , Luca Arnaboldi , Wen Kokke

Machine learning techniques often lack formal correctness guarantees, evidenced by the widespread adversarial examples that plague most deep-learning applications. This lack of formal guarantees resulted in several research efforts that aim…

Machine Learning · Computer Science 2024-06-11 Anahita Baninajjar , Ahmed Rezine , Amir Aminifar

This paper focuses on the identification of dynamical systems with tailor-made model structures, where neural networks are used to approximate uncertain components and domain knowledge is retained, if available. These model structures are…

Machine Learning · Computer Science 2021-10-29 Marco Forgione , Dario Piga

Deep Neural Networks (DNNs) have become key components of many safety-critical applications such as autonomous driving and medical diagnosis. However, DNNs have been shown suffering from poor robustness because of their susceptibility to…

Machine Learning · Computer Science 2020-07-28 Wenjie Wan , Zhaodi Zhang , Yiwei Zhu , Min Zhang , Fu Song

Neural networks hold great potential to act as approximate models of nonlinear dynamical systems, with the resulting neural approximations enabling verification and control of such systems. However, in safety-critical contexts, the use of…

Machine Learning · Computer Science 2025-09-30 Frederik Baymler Mathiesen , Nikolaus Vertovec , Francesco Fabiano , Luca Laurenti , Alessandro Abate

Despite having high accuracy, neural nets have been shown to be susceptible to adversarial examples, where a small perturbation to an input can cause it to become mislabeled. We propose metrics for measuring the robustness of a neural net…

Machine Learning · Computer Science 2017-06-19 Osbert Bastani , Yani Ioannou , Leonidas Lampropoulos , Dimitrios Vytiniotis , Aditya Nori , Antonio Criminisi

In the last decade, a large body of work has emerged on robustness of neural networks, i.e., checking if the decision remains unchanged when the input is slightly perturbed. However, most of these approaches ignore the confidence of a…

Logic in Computer Science · Computer Science 2026-02-17 Mohammad Afzal , S. Akshay , Blaise Genest , Ashutosh Gupta

Neural networks are very successful at detecting patterns in noisy data, and have become the technology of choice in many fields. However, their usefulness is hampered by their susceptibility to adversarial attacks. Recently, many methods…

Machine Learning · Computer Science 2022-07-14 Marco Casadio , Ekaterina Komendantskaya , Matthew L. Daggitt , Wen Kokke , Guy Katz , Guy Amir , Idan Refaeli

Neural network verification tools currently support only a narrow class of specifications, typically expressed as low-level constraints over raw inputs and outputs. This limitation significantly hinders their adoption and practical…

Machine Learning · Computer Science 2026-03-04 Yizhak Y. Elboher , Reuven Peleg , Zhouxing Shi , Guy Katz , Jan Křetínský

The robustness of deep neural networks is crucial to modern AI-enabled systems and should be formally verified. Sigmoid-like neural networks have been adopted in a wide range of applications. Due to their non-linearity, Sigmoid-like…

Machine Learning · Computer Science 2022-08-31 Zhaodi Zhang , Yiting Wu , Si Liu , Jing Liu , Min Zhang

Neural networks offer good approximation to many tasks but consistently fail to reach perfect generalization, even when theoretical work shows that such perfect solutions can be expressed by certain architectures. Using the task of formal…

Computation and Language · Computer Science 2024-06-07 Nur Lan , Emmanuel Chemla , Roni Katzir
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