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Complete verification of deep neural networks (DNNs) can exactly determine whether the DNN satisfies a desired trustworthy property (e.g., robustness, fairness) on an infinite set of inputs or not. Despite the tremendous progress to improve…

Machine Learning · Computer Science 2023-06-13 Shubham Ugare , Debangshu Banerjee , Sasa Misailovic , Gagandeep Singh

Verification plays an essential role in the formal analysis of safety-critical systems. Most current verification methods have specific requirements when working on Deep Neural Networks (DNNs). They either target one particular network…

Machine Learning · Computer Science 2023-04-04 Chi Zhang , Wenjie Ruan , Fu Wang , Peipei Xu , Geyong Min , Xiaowei Huang

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…

Machine Learning · Computer Science 2025-07-08 Jiong Yang , Yong Kiam Tan , Mate Soos , Magnus O. Myreen , Kuldeep S. Meel

Deep Neural Networks (DNNs), with its promising performance, are being increasingly used in safety critical applications such as autonomous driving, cancer detection, and secure authentication. With growing importance in deep learning,…

Machine Learning · Computer Science 2019-11-19 Senthil Mani , Anush Sankaran , Srikanth Tamilselvam , Akshay Sethi

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

Image classifiers are an important component of today's software, from consumer and business applications to safety-critical domains. The advent of Deep Neural Networks (DNNs) is the key catalyst behind such wide-spread success. However,…

Software Engineering · Computer Science 2020-02-13 Yuchi Tian , Ziyuan Zhong , Vicente Ordonez , Gail Kaiser , Baishakhi Ray

Increasingly sophisticated mathematical modelling processes from Machine Learning are being used to analyse complex data. However, the performance and explainability of these models within practical critical systems requires a rigorous and…

Machine Learning · Computer Science 2020-12-08 Xingyu Zhao , Alec Banks , James Sharp , Valentin Robu , David Flynn , Michael Fisher , Xiaowei Huang

A key challenge for deploying deep neural networks (DNNs) in safety critical settings is the need to provide rigorous ways to quantify their uncertainty. In this paper, we propose a novel algorithm for constructing predicted classification…

Machine Learning · Computer Science 2021-03-19 Sangdon Park , Shuo Li , Insup Lee , Osbert Bastani

As the capacity of deep neural networks (DNNs) increases, their need for huge amounts of data significantly grows. A common practice is to outsource the training process or collect more data over the Internet, which introduces the risks of…

Machine Learning · Computer Science 2023-11-14 Soroush Hashemifar , Saeed Parsa , Morteza Zakeri-Nasrabadi

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

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

Existing methods for testing DNNs solve the oracle problem by constraining the raw features (e.g. image pixel values) to be within a small distance of a dataset example for which the desired DNN output is known. But this limits the kinds of…

Machine Learning · Computer Science 2021-06-02 Isaac Dunn , Hadrien Pouget , Daniel Kroening , Tom Melham

Inference accuracy of deep neural networks (DNNs) is a crucial performance metric, but can vary greatly in practice subject to actual test datasets and is typically unknown due to the lack of ground truth labels. This has raised significant…

Machine Learning · Computer Science 2020-07-06 Zhihui Shao , Jianyi Yang , Shaolei Ren

Deep neural networks (DNNs) have witnessed as a powerful approach in this year by solving long-standing Artificial intelligence (AI) supervised and unsupervised tasks exists in natural language processing, speech processing, computer vision…

Machine Learning · Computer Science 2018-12-11 Vinayakumar R , Barathi Ganesh HB , Prabaharan Poornachandran , Anand Kumar M , Soman KP

Runtime monitors assess whether a system is in an unsafe state based on a stream of observations. We study the problem where the system is subject to probabilistic uncertainty and described by a hidden Markov model. A stream of observations…

Formal Languages and Automata Theory · Computer Science 2025-09-22 Luko van der Maas , Sebastian Junges

Quantifying the robustness of neural networks or verifying their safety properties against input uncertainties or adversarial attacks have become an important research area in learning-enabled systems. Most results concentrate around the…

Systems and Control · Electrical Eng. & Systems 2019-10-11 Mahyar Fazlyab , Manfred Morari , George J. Pappas

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 or worst-case inputs, but researchers…

Machine Learning · Computer Science 2023-01-26 Brendon G. Anderson , Somayeh Sojoudi

Deep Neural Networks (DNNs) are a revolutionary force in the ongoing information revolution, and yet their intrinsic properties remain a mystery. In particular, it is widely known that DNNs are highly sensitive to noise, whether adversarial…

Machine Learning · Computer Science 2020-05-01 Netanel Raviv , Siddharth Jain , Pulakesh Upadhyaya , Jehoshua Bruck , Anxiao Jiang

With substantial amount of time, resources and human (team) efforts invested to explore and develop successful deep neural networks (DNN), there emerges an urgent need to protect these inventions from being illegally copied, redistributed,…

Cryptography and Security · Computer Science 2019-11-05 Lixin Fan , Kam Woh Ng , Chee Seng Chan

Deep Neural Networks (DNN) are crucial in approximating nonlinear functions across diverse applications, ranging from image classification to control. Verifying specific input-output properties can be a highly challenging task due to the…

Machine Learning · Computer Science 2025-07-22 Tianhao Wei , Hanjiang Hu , Luca Marzari , Kai S. Yun , Peizhi Niu , Xusheng Luo , Changliu Liu
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