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Neural network verification aims at providing formal guarantees on the output of trained neural networks, to ensure their robustness against adversarial examples and enable their deployment in safety-critical applications. This paper…

Optimization and Control · Mathematics 2024-04-02 Haoruo Zhao , Hassan Hijazi , Haydn Jones , Juston Moore , Mathieu Tanneau , Pascal Van Hentenryck

As neural networks make their way into safety-critical systems, where misbehavior can lead to catastrophes, there is a growing interest in certifying the equivalence of two structurally similar neural networks. For example, compression…

Machine Learning · Computer Science 2020-09-22 Brandon Paulsen , Jingbo Wang , Jiawei Wang , Chao Wang

A natural and informal approach to verifiable (or zero-knowledge) ML inference over floating-point data is: ``prove that each layer was computed correctly up to tolerance $\delta$; therefore the final output is a reasonable inference…

Cryptography and Security · Computer Science 2026-02-18 Or Zamir

Sensitivity-based robustness certification has emerged as a practical approach for certifying neural network robustness, including in settings that require verifiable guarantees. A key advantage of these methods is that certification is…

Machine Learning · Computer Science 2026-03-26 Toby Murray

A wide range of verification methods have been proposed to verify the safety properties of deep neural networks ensuring that the networks function correctly in critical applications. However, many well-known verification tools still…

Software Engineering · Computer Science 2023-08-15 Yuyi Zhong , Ruiwei Wang , Siau-Cheng Khoo

Due to significant improvements in performance in recent years, neural networks are currently used for an ever-increasing number of applications. However, neural networks have the drawback that their decisions are not readily interpretable…

Cryptography and Security · Computer Science 2020-05-15 Christian Berghoff

Spiking Neural Networks (SNNs) are a subclass of neuromorphic models that have great potential to be used as controllers in Cyber-Physical Systems (CPSs) due to their energy efficiency. They can benefit from the prevalent approach of first…

Emerging Technologies · Computer Science 2024-08-06 Arkaprava Gupta , Sumana Ghosh , Ansuman Banerjee , Swarup Kumar Mohalik

Neural networks have become state-of-the-art for computer vision problems because of their ability to efficiently model complex functions from large amounts of data. While neural networks can be shown to perform well empirically for a…

Robotics · Computer Science 2020-03-06 Kyle D. Julian , Ritchie Lee , Mykel J. Kochenderfer

Artificial intelligence (AI) has been advancing at a fast pace and it is now poised for deployment in a wide range of applications, such as autonomous systems, medical diagnosis and natural language processing. Early adoption of AI…

Machine Learning · Computer Science 2023-09-21 Marta Kwiatkowska , Xiyue Zhang

The problem of probabilistic verification of a neural network investigates the probability of satisfying the safe constraints in the output space when the input is given by a probability distribution. It is significant to answer this…

Artificial Intelligence · Computer Science 2026-04-24 Jingyang Li , Xin Chen , Hongfei Fu , Guoqiang Li

Nowadays, we are witnessing an increasing effort to improve the performance and trustworthiness of Deep Neural Networks (DNNs), with the aim to enable their adoption in safety critical systems such as self-driving cars. Multiple testing…

Software Engineering · Computer Science 2022-04-05 Houssem Ben Braiek , Foutse Khomh

Verification of machine learning models used in Natural Language Processing (NLP) is known to be a hard problem. In particular, many known neural network verification methods that work for computer vision and other numeric datasets do not…

Computation and Language · Computer Science 2023-08-16 Marco Casadio , Luca Arnaboldi , Matthew L. Daggitt , Omri Isac , Tanvi Dinkar , Daniel Kienitz , Verena Rieser , Ekaterina Komendantskaya

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

Formal verification of memory-manipulating programs critically depends on precise function specifications that capture memory states written by experts. This requirement has become a major bottleneck as large language models (LLMs)…

Software Engineering · Computer Science 2026-03-17 Liao Zhang , Tong Chen , Xiwei Wu , Qi Liu , Xiyu Zhai , Xinqi Wang , Qinxiang Cao

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…

Traditional methods for formal verification (FV) of deep neural networks (DNNs) are constrained by a binary encoding of safety properties, where a model is classified as either safe or unsafe (robust or not robust). This binary encoding…

Artificial Intelligence · Computer Science 2025-05-09 Luca Marzari , Isabella Mastroeni , Alessandro Farinelli

Fairness is crucial for neural networks which are used in applications with important societal implication. Recently, there have been multiple attempts on improving fairness of neural networks, with a focus on fairness testing (e.g.,…

Machine Learning · Computer Science 2021-07-20 Bing Sun , Jun Sun , Ting Dai , Lijun Zhang

Large language models (LLMs) have demonstrated remarkable progress in code generation, but many existing benchmarks are approaching saturation and offer little guarantee on the trustworthiness of the generated programs. To improve…

Software Engineering · Computer Science 2025-10-08 Xun Deng , Sicheng Zhong , Barış Bayazıt , Andreas Veneris , Fan Long , Xujie Si

Evaluating fairness in Spiking Neural Networks (SNNs) demands rigorous benchmarks that reflect real-world complexities, yet existing assessments remain limited by superficial dataset diversity and idealized hardware assumptions. This work…

Neural and Evolutionary Computing · Computer Science 2026-05-28 Hudi He , Fukun Wang , Zhe Wang , Xinyi Wang , Shuhan Ye , Jiarui Liu , Qing Qing , Ziqi Xu , Xikun Zhang , Renqiang Luo

This paper describes a verification case study on an autonomous racing car with a neural network (NN) controller. Although several verification approaches have been proposed over the last year, they have only been evaluated on…

Systems and Control · Electrical Eng. & Systems 2019-10-25 Radoslav Ivanov , Taylor J. Carpenter , James Weimer , Rajeev Alur , George J. Pappas , Insup Lee
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