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Convolutional neural networks (CNNs), one of the key architectures of deep learning models, have achieved superior performance on many machine learning tasks such as image classification, video recognition, and power systems. Despite their…

Machine Learning · Computer Science 2024-07-17 Hanxiao Lu , Zeyu Huang , Ren Wang

With deep neural networks providing state-of-the-art machine learning models for numerous machine learning tasks, quantifying the robustness of these models has become an important area of research. However, most of the research literature…

Machine Learning · Computer Science 2019-01-08 Tsui-Wei Weng , Pin-Yu Chen , Lam M. Nguyen , Mark S. Squillante , Ivan Oseledets , Luca Daniel

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

Deep neural networks often lack the safety and robustness guarantees needed to be deployed in safety critical systems. Formal verification techniques can be used to prove input-output safety properties of networks, but when properties are…

Machine Learning · Computer Science 2022-05-17 Christopher A. Strong , Sydney M. Katz , Anthony L. Corso , Mykel J. Kochenderfer

Network compression is crucial to making the deep networks to be more efficient, faster, and generalizable to low-end hardware. Current network compression methods have two open problems: first, there lacks a theoretical framework to…

Machine Learning · Computer Science 2022-06-09 Ziqi Zhou , Li Lian , Yilong Yin , Ze Wang

Researchers have developed neural network verification algorithms motivated by the need to characterize the robustness of deep neural networks. The verifiers aspire to answer whether a neural network guarantees certain properties with…

Machine Learning · Computer Science 2021-10-04 Kai Jia , Martin Rinard

Integer-arithmetic-only networks have been demonstrated effective to reduce computational cost and to ensure cross-platform consistency. However, previous works usually report a decline in the inference accuracy when converting well-trained…

Computer Vision and Pattern Recognition · Computer Science 2020-06-23 Hengrui Zhao , Dong Liu , Houqiang Li

Deep neural networks' remarkable ability to correctly fit training data when optimized by gradient-based algorithms is yet to be fully understood. Recent theoretical results explain the convergence for ReLU networks that are wider than…

Machine Learning · Computer Science 2021-02-09 Asaf Noy , Yi Xu , Yonathan Aflalo , Lihi Zelnik-Manor , Rong Jin

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

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

The verification problem for neural networks is verifying whether a neural network will suffer from adversarial samples, or approximating the maximal allowed scale of adversarial perturbation that can be endured. While most prior work…

Machine Learning · Computer Science 2018-11-16 Qinglong Wang , Kaixuan Zhang , Xue Liu , C. Lee Giles

Branch-and-bound (BaB) is among the most effective techniques for neural network (NN) verification. However, existing works on BaB for NN verification have mostly focused on NNs with piecewise linear activations, especially ReLU networks.…

Machine Learning · Computer Science 2025-02-11 Zhouxing Shi , Qirui Jin , Zico Kolter , Suman Jana , Cho-Jui Hsieh , Huan Zhang

Convolutional neural networks have gained vast popularity due to their excellent performance in the fields of computer vision, image processing, and others. Unfortunately, it is now well known that convolutional networks often produce…

Machine Learning · Computer Science 2022-01-07 Matan Ostrovsky , Clark Barrett , Guy Katz

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

Learning-based methods could provide solutions to many of the long-standing challenges in control. However, the neural networks (NNs) commonly used in modern learning approaches present substantial challenges for analyzing the resulting…

Machine Learning · Computer Science 2022-02-03 Michael Everett

The existence of adversarial examples poses a real danger when deep neural networks are deployed in the real world. The go-to strategy to quantify this vulnerability is to evaluate the model against specific attack algorithms. This approach…

Machine Learning · Computer Science 2021-06-08 Kevin Roth

Deep neural networks (DNNs) are widely used in real-world applications, yet they remain vulnerable to errors and adversarial attacks. Formal verification offers a systematic approach to identify and mitigate these vulnerabilities, enhancing…

Computer Vision and Pattern Recognition · Computer Science 2024-11-19 Yizhak Y. Elboher , Avraham Raviv , Yael Leibovich Weiss , Omer Cohen , Roy Assa , Guy Katz , Hillel Kugler

Formal verification of neural networks is critical for their safe adoption in real-world applications. However, designing a precise and scalable verifier which can handle different activation functions, realistic network architectures and…

Artificial Intelligence · Computer Science 2022-03-01 Mark Niklas Müller , Gleb Makarchuk , Gagandeep Singh , Markus Püschel , Martin Vechev

The use of neural networks as function approximators has enabled many advances in reinforcement learning (RL). The generalization power of neural networks combined with advances in RL algorithms has reignited the field of artificial…

Machine Learning · Computer Science 2022-03-14 Christopher Lazarus , Mykel J. Kochenderfer

Neural networks are increasingly applied to support decision making in safety-critical applications (like autonomous cars, unmanned aerial vehicles and face recognition based authentication). While many impressive static verification…

Machine Learning · Computer Science 2021-05-07 Guoliang Dong , Jun Sun , Jingyi Wang , Xinyu Wang , Ting Dai
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