English
Related papers

Related papers: Branch and Bound for Piecewise Linear Neural Netwo…

200 papers

We can compare the expressiveness of neural networks that use rectified linear units (ReLUs) by the number of linear regions, which reflect the number of pieces of the piecewise linear functions modeled by such networks. However,…

Machine Learning · Computer Science 2019-12-17 Thiago Serra , Srikumar Ramalingam

Robustness verification of neural networks, referring to formally proving that neural networks satisfy robustness properties, is of crucial importance in safety-critical applications, where model failures can result in loss of human life or…

Machine Learning · Computer Science 2026-04-06 Minh Le , Phuong Cao

Bayesian neural networks (BNNs) have recently regained a significant amount of attention in the deep learning community due to the development of scalable approximate Bayesian inference techniques. There are several advantages of using a…

Machine Learning · Statistics 2023-05-02 Aliaksandr Hubin , Geir Storvik

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…

Machine Learning · Computer Science 2022-12-16 Xingchao Liu , Xing Han , Na Zhang , Qiang Liu

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…

Programming Languages · Computer Science 2025-05-13 James Tobler , Hira Taqdees Syeda , Toby Murray

Despite the exploding interest in graph neural networks there has been little effort to verify and improve their robustness. This is even more alarming given recent findings showing that they are extremely vulnerable to adversarial attacks…

Machine Learning · Computer Science 2019-12-20 Aleksandar Bojchevski , Stephan Günnemann

Deep neural networks have achieved impressive experimental results in image classification, but can surprisingly be unstable with respect to adversarial perturbations, that is, minimal changes to the input image that cause the network to…

Artificial Intelligence · Computer Science 2017-05-08 Xiaowei Huang , Marta Kwiatkowska , Sen Wang , Min Wu

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

In the digital age, ensuring the correctness, safety, and reliability of software through formal verification is paramount, particularly as software increasingly underpins critical infrastructure. Formal verification, split into theorem…

Software Engineering · Computer Science 2026-04-03 Zhiyong Chen , Jialun Cao , Jiarong Wu , Chang Xu , Shing-Chi Cheung

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

Neural networks are increasingly relied upon as components of complex safety-critical systems such as autonomous vehicles. There is high demand for tools and methods that embed neural network verification in a larger verification cycle.…

Logic in Computer Science · Computer Science 2022-08-01 Remi Desmartin , Grant Passmore , Ekaterina Komendantskaya , Matthew Daggitt

In multimedia forensics, learning-based methods provide state-of-the-art performance in determining origin and authenticity of images and videos. However, most existing methods are challenged by out-of-distribution data, i.e., with…

Machine Learning · Computer Science 2020-07-29 Anatol Maier , Benedikt Lorch , Christian Riess

Artificial Neural Networks (ANNs) are being deployed for an increasing number of safety-critical applications, including autonomous cars and medical diagnosis. However, concerns about their reliability have been raised due to their…

Machine Learning · Computer Science 2021-09-17 Luiz Sena , Xidan Song , Erickson Alves , Iury Bessa , Edoardo Manino , Lucas Cordeiro , Eddie de Lima Filho

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…

Machine Learning · Computer Science 2026-05-01 Anton Björklund , Mykola Zaitsev , Paolo Morettin , Marta Kwiatkowska

In exchange for large quantities of data and processing power, deep neural networks have yielded models that provide state of the art predication capabilities in many fields. However, a lack of strong guarantees on their behaviour have…

Machine Learning · Computer Science 2020-01-22 Haakon Robinson , Adil Rasheed , Omer San

Deep neural networks (DNNs) have been shown lack of robustness for the vulnerability of their classification to small perturbations on the inputs. This has led to safety concerns of applying DNNs to safety-critical domains. Several…

Machine Learning · Computer Science 2021-02-24 Jianlin Li , Pengfei Yang , Jiangchao Liu , Liqian Chen , Xiaowei Huang , Lijun Zhang

Among the several paradigms of artificial intelligence (AI) or machine learning (ML), a remarkably successful paradigm is deep learning. Deep learning's phenomenal success has been hoped to be interpreted via fundamental research on the…

Machine Learning · Computer Science 2021-11-29 Tilahun M. Getu

Neural networks are successfully used in a variety of applications, many of them having safety and security concerns. As a result researchers have proposed formal verification techniques for verifying neural network properties. While…

Cryptography and Security · Computer Science 2022-05-10 Youcheng Sun , Muhammad Usman , Divya Gopinath , Corina S. Păsăreanu

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

The standard approach to verify representations learned by Deep Neural Networks is to use them in specific tasks such as classification or regression, and measure their performance based on accuracy in such tasks. However, in many cases, we…

Machine Learning · Computer Science 2023-12-14 Anup Shakya , Abisha Thapa Magar , Somdeb Sarkhel , Deepak Venugopal