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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

Inspired by recent successes with parallel optimization techniques for solving Boolean satisfiability, we investigate a set of strategies and heuristics that aim to leverage parallel computing to improve the scalability of neural network…

计算机科学中的逻辑 · 计算机科学 2020-08-24 Haoze Wu , Alex Ozdemir , Aleksandar Zeljić , Ahmed Irfan , Kyle Julian , Divya Gopinath , Sadjad Fouladi , Guy Katz , Corina Pasareanu , Clark Barrett

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

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

Bayesian Neural Networks (BNNs) offer a principled and natural framework for proper uncertainty quantification in the context of deep learning. They address the typical challenges associated with conventional deep learning methods, such as…

统计计算 · 统计学 2024-11-13 Zahra Moslemi , Yang Meng , Shiwei Lan , Babak Shahbaba

The wide deployment of deep neural networks, though achieving great success in many domains, has severe safety and reliability concerns. Existing adversarial attack generation and automatic verification techniques cannot formally verify…

机器学习 · 计算机科学 2020-06-09 Weidi Sun , Yuteng Lu , Xiyue Zhang , Zhanxing Zhu , Meng Sun

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

As robustness verification methods are becoming more precise, training certifiably robust neural networks is becoming ever more relevant. To this end, certified training methods compute and then optimize an upper bound on the worst-case…

机器学习 · 计算机科学 2024-02-29 Yuhao Mao , Mark Niklas Müller , Marc Fischer , Martin Vechev

GPUs have significantly accelerated first-order methods for large-scale optimization, especially in continuous optimization. However, this success has not transferred cleanly to problems with discrete variables, combinatorial structure, and…

机器学习 · 计算机科学 2026-05-22 Jiachang Liu , Andrea Lodi

The growing reliance on artificial intelligence in safety- and security-critical applications is raising concerns about the robustness of neural networks to erroneous or adversarial input. Certification is a methodology for ensuring model…

机器学习 · 计算机科学 2026-05-01 Anton Björklund , Mykola Zaitsev , Paolo Morettin , Marta Kwiatkowska

We present the Branch-and-Bound Performance Estimation Programming (BnB-PEP), a unified methodology for constructing optimal first-order methods for convex and nonconvex optimization. BnB-PEP poses the problem of finding the optimal…

最优化与控制 · 数学 2023-06-09 Shuvomoy Das Gupta , Bart P. G. Van Parys , Ernest K. Ryu

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…

计算机科学中的逻辑 · 计算机科学 2026-02-17 Mohammad Afzal , S. Akshay , Blaise Genest , Ashutosh Gupta

Neural networks are part of many contemporary NLP systems, yet their empirical successes come at the price of vulnerability to adversarial attacks. Previous work has used adversarial training and data augmentation to partially mitigate such…

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

We propose and investigate probabilistic guarantees for the adversarial robustness of classification algorithms. While traditional formal verification approaches for robustness are intractable and sampling-based approaches do not provide…

机器学习 · 计算机科学 2025-11-11 Peter Blohm , Patrick Indri , Thomas Gärtner , Sagar Malhotra

Recent works show that Graph Neural Networks (GNNs) are highly non-robust with respect to adversarial attacks on both the graph structure and the node attributes, making their outcomes unreliable. We propose the first method for certifiable…

机器学习 · 计算机科学 2019-07-01 Daniel Zügner , Stephan Günnemann

Formal verification has emerged as a powerful approach to ensure the safety and reliability of deep neural networks. However, current verification tools are limited to only a handful of properties that can be expressed as first-order…

人工智能 · 计算机科学 2022-03-03 Xuan Xie , Kristian Kersting , Daniel Neider

Neural Networks (NNs) have increasingly apparent safety implications commensurate with their proliferation in real-world applications: both unanticipated as well as adversarial misclassifications can result in fatal outcomes. As a…

机器学习 · 计算机科学 2021-04-20 Haitham Khedr , James Ferlez , Yasser Shoukry

Computational tools for rigorously verifying the performance of large-scale machine learning (ML) models have progressed significantly in recent years. The most successful solvers employ highly specialized, GPU-accelerated branch and bound…

机器学习 · 计算机科学 2023-09-11 Samuel Chevalier , Ilgiz Murzakhanov , Spyros Chatzivasileiadis

Verification of binary neural network (BNN) robustness is NP-hard, as it can be formulated as a combinatorial search for an adversarial perturbation that induces misclassification. Exact verification methods therefore scale poorly with…

新兴技术 · 计算机科学 2026-03-09 Madhav Vadlamani , Rahul Singh , Yuyao Kong , Zheng Zhang , Shimeng Yu