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We review state-of-the-art formal methods applied to the emerging field of the verification of machine learning systems. Formal methods can provide rigorous correctness guarantees on hardware and software systems. Thanks to the availability…

Programming Languages · Computer Science 2021-04-22 Caterina Urban , Antoine Miné

Utilizing quantum computers to deploy artificial neural networks (ANNs) will bring the potential of significant advancements in both speed and scale. In this paper, we propose a kind of quantum spike neural networks (SNNs) as well as…

Quantum Physics · Physics 2020-12-03 Yanhu Chen , Hongxiang Guo , Cen Wang , Xiong Gao , Jian Wu

Deep neural networks (DNNs) enable high performance across domains but remain vulnerable to adversarial perturbations, limiting their use in safety-critical settings. Here, we introduce two quantum-optimization-based models for robust…

Machine Learning · Computer Science 2026-03-03 Wenxin Li , Wenchao Liu , Chuan Wang , Qi Gao , Yin Ma , Hai Wei , Kai Wen

Spiking Neural Networks (SNNs) have been widely praised for their high energy efficiency and immense potential. However, comprehensive research that critically contrasts and correlates SNNs with quantized Artificial Neural Networks (ANNs)…

Neural and Evolutionary Computing · Computer Science 2023-11-21 Guobin Shen , Dongcheng Zhao , Tenglong Li , Jindong Li , Yi Zeng

Numerous open-source and commercial malware detectors are available. However, their efficacy is threatened by new adversarial attacks, whereby malware attempts to evade detection, e.g., by performing feature-space manipulation. In this…

Cryptography and Security · Computer Science 2023-11-29 Ruoxi Sun , Minhui Xue , Gareth Tyson , Tian Dong , Shaofeng Li , Shuo Wang , Haojin Zhu , Seyit Camtepe , Surya Nepal

We study the problem of formally verifying the robustness to adversarial examples of support vector machines (SVMs), a major machine learning model for classification and regression tasks. Following a recent stream of works on formal…

Machine Learning · Computer Science 2019-04-29 Francesco Ranzato , Marco Zanella

The Efficient SMT-Based Context-Bounded Model Checker (ESBMC) has grown from a research prototype for verifying embedded ANSI-C software into one of the most versatile and industrially capable formal verification platforms available today.…

Software Engineering · Computer Science 2026-05-27 Pierre Dantas , Lucas Cordeiro , Waldir Junior

In neural network (NN) security, safeguarding model integrity and resilience against adversarial attacks has become paramount. This study investigates the application of stochastic computing (SC) as a novel mechanism to fortify NN models.…

Cryptography and Security · Computer Science 2024-07-09 Faeze S. Banitaba , Sercan Aygun , M. Hassan Najafi

We introduce a novel architecture and computational framework for formal, automated analysis of systems with a broad set of nonlinearities in the feedback loop, such as neural networks, vision controllers, switched systems, and even simple…

Optimization and Control · Mathematics 2018-05-02 Ivan Papusha , Ufuk Topcu , Steven Carr , Niklas Lauffer

The deployment of Quantized Neural Networks (QNNs) on resource-constrained edge devices, such as microcontrollers (MCUs), introduces fundamental challenges in balancing model performance, computational complexity, and memory constraints.…

Machine Learning · Computer Science 2026-01-08 Hamza A. Abushahla , Dara Varam , Ariel Justine N. Panopio , Mohamed I. AlHajri

The surge in interest in Artificial Intelligence (AI) over the past decade has been driven almost exclusively by advances in Artificial Neural Networks (ANNs). While ANNs set state-of-the-art performance for many previously intractable…

Neural and Evolutionary Computing · Computer Science 2022-09-02 Peter G. Stratton , Andrew Wabnitz , Chip Essam , Allen Cheung , Tara J. Hamilton

Neural networks (NNs) are increasingly applied in safety-critical systems such as autonomous vehicles. However, they are fragile and are often ill-behaved. Consequently, their behaviors should undergo rigorous guarantees before deployment…

Artificial Intelligence · Computer Science 2022-10-11 Zhen Liang , Dejin Ren , Wanwei Liu , Ji Wang , Wenjing Yang , Bai Xue

We introduce an Artificial Neural Network (ANN) quantization methodology for platforms without wide accumulation registers. This enables fixed-point model deployment on embedded compute platforms that are not specifically designed for large…

Computer Vision and Pattern Recognition · Computer Science 2020-04-27 Barry de Bruin , Zoran Zivkovic , Henk Corporaal

Structural Health Monitoring (SHM) ensures the safety and longevity of infrastructure by enabling timely damage detection. Vision-based crack detection, combined with UAVs, addresses the limitations of traditional sensor-based SHM methods…

Computer Vision and Pattern Recognition · Computer Science 2025-07-22 Yuxuan Zhang , Luciano Sebastian Martinez-Rau , Quynh Nguyen Phuong Vu , Bengt Oelmann , Sebastian Bader

Although neural networks are widely used, it remains challenging to formally verify the safety and robustness of neural networks in real-world applications. Existing methods are designed to verify the network before deployment, which are…

Machine Learning · Computer Science 2023-02-06 Tianhao Wei , Changliu Liu

Spiking Neural Network (SNN) has been recognized as one of the next generation of neural networks. Conventionally, SNN can be converted from a pre-trained ANN by only replacing the ReLU activation to spike activation while keeping the…

Machine Learning · Computer Science 2021-06-15 Yuhang Li , Shikuang Deng , Xin Dong , Ruihao Gong , Shi Gu

Certifying the safety or robustness of neural networks against input uncertainties and adversarial attacks is an emerging challenge in the area of safe machine learning and control. To provide such a guarantee, one must be able to bound the…

Optimization and Control · Mathematics 2021-09-16 Mahyar Fazlyab , Manfred Morari , George J. Pappas

Context: Across different domains, Artificial Neural Networks (ANNs) are used more and more in safety-critical applications in which erroneous outputs of such ANN can have catastrophic consequences. However, the development of such neural…

In recent years cybersecurity has become a major concern in adaptation of smart applications. Specially, in smart homes where a large number of IoT devices are used having a secure and trusted mechanisms can provide peace of mind for users.…

Cryptography and Security · Computer Science 2022-05-18 Shaleeza Sohail , Zongwen Fan , Xin Gu , Fariza Sabrina

Constraint solving is an elementary way for verification of deep neural networks (DNN). In the domain of AI safety, a DNN might be modified in its structure and parameters for its repair or attack. For such situations, we propose the…

Artificial Intelligence · Computer Science 2023-02-14 Pengfei Yang , Zhiming Chi , Zongxin Liu , Mengyu Zhao , Cheng-Chao Huang , Shaowei Cai , Lijun Zhang