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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

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

Deep learning harnesses massive parallel floating-point processing to train and evaluate large neural networks. Trends indicate that deeper and larger neural networks with an increasing number of parameters achieve higher accuracy than…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Brad Larson , Bishal Upadhyaya , Luke McDermott , Siddha Ganju

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

We develop the first (to the best of our knowledge) provably correct neural networks for a precise computational task, with the proof of correctness generated by an automated verification algorithm without any human input. Prior work on…

Machine Learning · Computer Science 2024-05-09 Rudy Bunel , Krishnamurthy Dvijotham , M. Pawan Kumar , Alessandro De Palma , Robert Stanforth

Spiking Neural Networks (SNNs) have gained significant attention due to the energy-efficient and multiplication-free characteristics. Despite these advantages, deploying large-scale SNNs on edge hardware is challenging due to limited…

Neural and Evolutionary Computing · Computer Science 2024-11-22 Shuo Chen , Boxiao Liu , Zeshi Liu , Haihang You

The robustness of neural network classifiers is important in the safety-critical domain and can be quantified by robustness verification. At present, efficient and scalable verification techniques are always sound but incomplete, and thus,…

Machine Learning · Computer Science 2025-03-31 Yuan Xiao , Yuchen Chen , Shiqing Ma , Chunrong Fang , Tongtong Bai , Mingzheng Gu , Yuxin Cheng , Yanwei Chen , Zhenyu Chen

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

The deployment of deep neural networks on resource-constrained devices necessitates effective model com- pression strategies that judiciously balance the reduction of model size with the preservation of performance. This study introduces a…

Machine Learning · Computer Science 2025-05-02 Mohammad Zbeeb , Mariam Salman , Mohammad Bazzi , Ammar Mohanna

Learning-based wireless sensing has made rapid progress, yet the field still lacks a unified and reproducible experimental foundation. Unlike computer vision, wireless sensing relies on hardware-dependent channel measurements whose…

Signal Processing · Electrical Eng. & Systems 2026-01-14 Di Zhang , Jiawei Huang , Yuanhao Cui , Xiaowen Cao , Tony Xiao Han , Xiaojun Jing , Christos Masouros

Neural networks have emerged as a powerful tool for solving complex tasks across various domains, but their increasing size and computational requirements have posed significant challenges in deploying them on resource-constrained devices.…

Machine Learning · Computer Science 2023-12-05 Evan Dogariu

We develop a method for the efficient verification of neural networks against convolutional perturbations such as blurring or sharpening. To define input perturbations we use well-known camera shake, box blur and sharpen kernels. We…

Machine Learning · Computer Science 2025-02-19 Benedikt Brückner , Alessio Lomuscio

Deploying deep neural networks (DNNs) on edge devices requires strong compression with minimal accuracy loss. This paper introduces Mix-and-Match Pruning, a globally guided, layer-wise sparsification framework that leverages sensitivity…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Danial Monachan , Samira Nazari , Mahdi Taheri , Ali Azarpeyvand , Milos Krstic , Michael Huebner , Christian Herglotz

The rapid development of large-scale deep learning models questions the affordability of hardware platforms, which necessitates the pruning to reduce their computational and memory footprints. Sparse neural networks as the product, have…

Computer Vision and Pattern Recognition · Computer Science 2024-09-09 Can Jin , Tianjin Huang , Yihua Zhang , Mykola Pechenizkiy , Sijia Liu , Shiwei Liu , Tianlong Chen

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

Spiking Neural Networks (SNNs) operate with asynchronous discrete events (or spikes) which can potentially lead to higher energy-efficiency in neuromorphic hardware implementations. Many works have shown that an SNN for inference can be…

Machine Learning · Computer Science 2020-05-06 Nitin Rathi , Gopalakrishnan Srinivasan , Priyadarshini Panda , Kaushik Roy

We address the neural network robustness problem by adding Similarity (i.e., correctly predicted depth-matches into training)-awareness and Distance-to-training-distribution-awareness to the existing output Magnitude (i.e.,…

Machine Learning · Computer Science 2025-05-23 Allen Schmaltz

There has been an increasing interest in using neural networks in closed-loop control systems to improve performance and reduce computational costs for on-line implementation. However, providing safety and stability guarantees for these…

Systems and Control · Electrical Eng. & Systems 2020-04-20 Haimin Hu , Mahyar Fazlyab , Manfred Morari , George J. Pappas

Understanding whether deep neural networks are effectively optimized remains challenging, as training occurs in highly nonconvex landscapes and standard metrics provide limited visibility into layer-wise learning quality. This challenge is…

Machine Learning · Computer Science 2026-05-05 Arian Eamaz , Farhang Yeganegi , Mojtaba Soltanalian

We describe a method for verifying the output of a deep neural network for medical image segmentation that is robust to several classes of random as well as worst-case perturbations i.e. adversarial attacks. This method is based on a…

Computer Vision and Pattern Recognition · Computer Science 2023-12-21 Fahim Ahmed Zaman , Xiaodong Wu , Weiyu Xu , Milan Sonka , Raghuraman Mudumbai
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