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The success of Deep Learning and its potential use in many safety-critical applications has motivated research on formal verification of Neural Network (NN) models. In this context, verification involves proving or disproving that an NN…

机器学习 · 计算机科学 2025-08-27 Rudy Bunel , Jingyue Lu , Ilker Turkaslan , Philip H. S. Torr , Pushmeet Kohli , M. Pawan Kumar

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…

机器学习 · 计算机科学 2026-02-06 Wenting Li , Saif R. Kazi , Russell Bent , Duo Zhou , Huan Zhang

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.…

机器学习 · 计算机科学 2025-02-11 Zhouxing Shi , Qirui Jin , Zico Kolter , Suman Jana , Cho-Jui Hsieh , Huan Zhang

Formal verification of neural networks is essential before their deployment in safety-critical applications. However, existing methods for formally verifying neural networks are not yet scalable enough to handle practical problems under…

机器学习 · 计算机科学 2025-07-08 Tobias Ladner , Matthias Althoff

Formal certification of Neural Networks (NNs) is crucial for ensuring their safety, fairness, and robustness. Unfortunately, on the one hand, sound and complete certification algorithms of ReLU-based NNs do not scale to large-scale NNs. On…

机器学习 · 计算机科学 2023-05-24 Haitham Khedr , Yasser Shoukry

Verification of deep neural networks has witnessed a recent surge of interest, fueled by success stories in diverse domains and by abreast concerns about safety and security in envisaged applications. Complexity and sheer size of such…

机器学习 · 计算机科学 2020-03-18 Dario Guidotti , Francesco Leofante , Luca Pulina , Armando Tacchella

We study the problem of formal verification of Binarized Neural Networks (BNN), which have recently been proposed as a energy-efficient alternative to traditional learning networks. The verification of BNNs, using the reduction to hardware…

软件工程 · 计算机科学 2018-01-22 Chih-Hong Cheng , Georg Nührenberg , Chung-Hao Huang , Harald Ruess

Many available formal verification methods have been shown to be instances of a unified Branch-and-Bound (BaB) formulation. We propose a novel machine learning framework that can be used for designing an effective branching strategy as well…

机器学习 · 计算机科学 2021-07-28 Florian Jaeckle , Jingyue Lu , M. Pawan Kumar

In this paper, we consider the computational complexity of formally verifying the behavior of Rectified Linear Unit (ReLU) Neural Networks (NNs), where verification entails determining whether the NN satisfies convex polytopic…

机器学习 · 计算机科学 2021-03-26 James Ferlez , Yasser Shoukry

Deep learning has emerged as an effective approach for creating modern software systems, with neural networks often surpassing hand-crafted systems. Unfortunately, neural networks are known to suffer from various safety and security issues.…

机器学习 · 计算机科学 2021-01-19 Guy Amir , Haoze Wu , Clark Barrett , Guy Katz

Neural networks have emerged as essential components in safety-critical applications -- these use cases demand complex, yet trustworthy computations. Binarized Neural Networks (BNNs) are a type of neural network where each neuron is…

机器学习 · 计算机科学 2025-07-08 Jiong Yang , Yong Kiam Tan , Mate Soos , Magnus O. Myreen , Kuldeep S. Meel

Formal verification of neural networks is essential for their deployment in safety-critical areas. Many available formal verification methods have been shown to be instances of a unified Branch and Bound (BaB) formulation. We propose a…

机器学习 · 计算机科学 2019-12-04 Jingyue Lu , M. Pawan Kumar

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…

机器学习 · 计算机科学 2019-01-08 Tsui-Wei Weng , Pin-Yu Chen , Lam M. Nguyen , Mark S. Squillante , Ivan Oseledets , Luca Daniel

Concerned with the reliability of neural networks, researchers have developed verification techniques to prove their robustness. Most verifiers work with real-valued networks. Unfortunately, the exact (complete and sound) verifiers face…

人工智能 · 计算机科学 2020-10-28 Kai Jia , Martin Rinard

State-of-the-art neural network verifiers are fundamentally based on one of two paradigms: either encoding the whole verification problem via tight multi-neuron convex relaxations or applying a Branch-and-Bound (BaB) procedure leveraging…

机器学习 · 计算机科学 2022-05-03 Claudio Ferrari , Mark Niklas Muller , Nikola Jovanovic , Martin Vechev

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…

机器学习 · 计算机科学 2024-06-11 Anahita Baninajjar , Ahmed Rezine , Amir Aminifar

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…

机器学习 · 计算机科学 2022-03-14 Christopher Lazarus , Mykel J. Kochenderfer

Probabilistic verification problems of neural networks are concerned with formally analysing the output distribution of a neural network under a probability distribution of the inputs. Examples of probabilistic verification problems include…

机器学习 · 计算机科学 2025-07-11 David Boetius , Stefan Leue , Tobias Sutter

Neural networks are often susceptible to minor perturbations in input that cause them to misclassify. A recent solution to this problem is the use of globally-robust neural networks, which employ a function to certify that the…

编程语言 · 计算机科学 2025-05-13 James Tobler , Hira Taqdees Syeda , Toby Murray

State-of-the-art neural network (NN) verifiers demonstrate that applying the branch-and-bound (BaB) procedure with fast bounding techniques plays a key role in tackling many challenging verification properties. In this work, we introduce…

机器学习 · 计算机科学 2025-12-15 Duo Zhou , Jorge Chavez , Hesun Chen , Grani A. Hanasusanto , Huan Zhang
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