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Learning monotonic models with respect to a subset of the inputs is a desirable feature to effectively address the fairness, interpretability, and generalization issues in practice. Existing methods for learning monotonic neural networks…

机器学习 · 计算机科学 2022-12-16 Xingchao Liu , Xing Han , Na Zhang , Qiang Liu

Extensive research on formal verification of machine learning systems indicates that learning from data alone often fails to capture underlying background knowledge, such as specifications implicitly available in the data. Various neural…

计算机科学中的逻辑 · 计算机科学 2025-03-17 Thomas Flinkow , Barak A. Pearlmutter , Rosemary Monahan

Barrier certificates play an important role in verifying the safety of continuous-time systems, including autonomous driving, robotic manipulators and other critical applications. Recently, ReLU neural barrier certificates -- barrier…

系统与控制 · 电气工程与系统科学 2025-11-14 Dejin Ren , Yiling Xue , Taoran Wu , Bai Xue

Methods to certify the robustness of neural networks in the presence of input uncertainty are vital in safety-critical settings. Most certification methods in the literature are designed for adversarial input uncertainty, but researchers…

机器学习 · 计算机科学 2023-01-26 Brendon G. Anderson , Somayeh Sojoudi

Control Barrier Functions (CBFs) that provide formal safety guarantees have been widely used for safety-critical systems. However, it is non-trivial to design a CBF. Utilizing neural networks as CBFs has shown great success, but it…

系统与控制 · 电气工程与系统科学 2023-11-20 Xinyu Wang , Luzia Knoedler , Frederik Baymler Mathiesen , Javier Alonso-Mora

The rising popularity of neural networks (NNs) in recent years and their increasing prevalence in real-world applications have drawn attention to the importance of their verification. While verification is known to be computationally…

人工智能 · 计算机科学 2022-07-15 Natalia Slusarz , Ekaterina Komendantskaya , Matthew L. Daggitt , Robert Stewart

This paper aims to enhance the computational efficiency of safety verification of neural network control systems by developing a guaranteed neural network model reduction method. First, a concept of model reduction precision is proposed to…

机器学习 · 计算机科学 2023-01-19 Weiming Xiang , Zhongzhu Shao

This work studies the robustness certification problem of neural network models, which aims to find certified adversary-free regions as large as possible around data points. In contrast to the existing approaches that seek regions bounded…

机器学习 · 计算机科学 2019-07-15 Chen Liu , Ryota Tomioka , Volkan Cevher

Neural networks are ubiquitous. However, they are often sensitive to small input changes. Hence, to prevent unexpected behavior in safety-critical applications, their formal verification -- a notoriously hard problem -- is necessary. Many…

机器学习 · 计算机科学 2026-02-10 Lukas Koller , Tobias Ladner , Matthias Althoff

There has been a rapid development and interest in adversarial training and defenses in the machine learning community in the recent years. One line of research focuses on improving the performance and efficiency of adversarial robustness…

机器学习 · 计算机科学 2022-12-07 Cheng Tang

Recently, formal verification of deep neural networks (DNNs) has garnered considerable attention, and over-approximation based methods have become popular due to their effectiveness and efficiency. However, these strategies face challenges…

人工智能 · 计算机科学 2024-01-24 Zhen Liang , Taoran Wu , Ran Zhao , Bai Xue , Ji Wang , Wenjing Yang , Shaojun Deng , Wanwei Liu

Recent advances in the verification of deep neural networks (DNNs) have opened the way for a broader usage of DNN verification technology in many application areas, including safety-critical ones. However, DNN verifiers are themselves…

计算机科学中的逻辑 · 计算机科学 2025-06-25 Remi Desmartin , Omri Isac , Grant Passmore , Ekaterina Komendantskaya , Kathrin Stark , Guy Katz

Modern verification tools for deep neural networks (DNNs) increasingly rely on abstraction to scale to realistic architectures. In parallel, proof production is becoming a critical requirement for increasing the reliability of DNN…

计算机科学中的逻辑 · 计算机科学 2025-06-12 Yizhak Yisrael Elboher , Omri Isac , Guy Katz , Tobias Ladner , Haoze Wu

Successfully training deep neural networks often requires either batch normalization, appropriate weight initialization, both of which come with their own challenges. We propose an alternative, geometrically motivated method for training.…

机器学习 · 计算机科学 2019-10-08 Aram-Alexandre Pooladian , Chris Finlay , Adam M Oberman

In sequential decision making, neural networks (NNs) are nowadays commonly used to represent and learn the agent's policy. This area of application has implied new software quality assessment challenges that traditional validation and…

软件工程 · 计算机科学 2023-12-18 Q. Mazouni , H. Spieker , A. Gotlieb , M. Acher

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

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

Recent works have shown that deep neural networks can achieve super-human performance in a wide range of image classification tasks in the medical imaging domain. However, these works have primarily focused on classification accuracy,…

计算机视觉与模式识别 · 计算机科学 2020-09-10 Gongbo Liang , Yu Zhang , Xiaoqin Wang , Nathan Jacobs

Neural networks have become critical components of reactive systems in various domains within computer science. Despite their excellent performance, using neural networks entails numerous risks that stem from our lack of ability to…

机器学习 · 计算机科学 2023-05-16 Elazar Cohen , Yizhak Yisrael Elboher , Clark Barrett , Guy Katz

Control barrier functions (CBFs) are important in safety-critical systems and robot control applications. Neural networks have been used to parameterize and synthesize CBFs with bounded control input for complex systems. However, it is…

机器人学 · 计算机科学 2024-10-23 Hanjiang Hu , Yujie Yang , Tianhao Wei , Changliu Liu