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Deep learning achieves remarkable performance on pattern recognition, but can be vulnerable to defects of some important properties such as robustness and security. This tutorial is based on a stream of research conducted since the summer…

Software Engineering · Computer Science 2021-08-05 Nicolas Berthier , Youcheng Sun , Wei Huang , Yanghao Zhang , Wenjie Ruan , Xiaowei Huang

This paper provides a bound on the number of numeric operations (fixed or floating point) that can safely be performed before accuracy is lost. This work has important implications for control systems with safety-critical software, as these…

Mathematical Software · Computer Science 2007-05-23 Marc Daumas , David Lester

Computer-based systems have solved several domain problems, including industrial, military, education, and wearable. Nevertheless, such arrangements need high-quality software to guarantee security and safety as both are mandatory for…

Fairness of machine learning (ML) software has become a major concern in the recent past. Although recent research on testing and improving fairness have demonstrated impact on real-world software, providing fairness guarantee in practice…

Machine Learning · Computer Science 2022-12-15 Sumon Biswas , Hridesh Rajan

The success of neural networks across most machine learning tasks and the persistence of adversarial examples have made the verification of such models an important quest. Several techniques have been successfully developed to verify…

Machine Learning · Computer Science 2019-10-14 Nathanaël Fijalkow , Mohit Kumar Gupta

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…

Machine Learning · Computer Science 2026-02-10 Lukas Koller , Tobias Ladner , Matthias Althoff

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…

Machine Learning · Computer Science 2021-03-26 James Ferlez , Yasser Shoukry

Despite the functional success of deep neural networks (DNNs), their trustworthiness remains a crucial open challenge. To address this challenge, both testing and verification techniques have been proposed. But these existing techniques…

Machine Learning · Computer Science 2021-03-24 Teodora Baluta , Zheng Leong Chua , Kuldeep S. Meel , Prateek Saxena

Ensuring safety in autonomous systems with vision-based control remains a critical challenge due to the high dimensionality of image inputs and the fact that the relationship between true system state and its visual manifestation is…

Robotics · Computer Science 2025-11-12 Xinhang Ma , Junlin Wu , Hussein Sibai , Yiannis Kantaros , Yevgeniy Vorobeychik

Barrier functions are a general framework for establishing a safety guarantee for a system. However, there is no general method for finding these functions. To address this shortcoming, recent approaches use self-supervised learning…

Machine Learning · Computer Science 2024-03-13 Shaoru Chen , Lekan Molu , Mahyar Fazlyab

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

Inference using deep neural networks is often outsourced to the cloud since it is a computationally demanding task. However, this raises a fundamental issue of trust. How can a client be sure that the cloud has performed inference…

Machine Learning · Computer Science 2021-05-14 Zahra Ghodsi , Tianyu Gu , Siddharth Garg

Machine learning has become prevalent across a wide variety of applications. Unfortunately, machine learning has also shown to be susceptible to deception, leading to errors, and even fatal failures. This circumstance calls into question…

Software Engineering · Computer Science 2022-05-03 Dusica Marijan , Arnaud Gotlieb

Software development in the aerospace domain requires adhering to strict, high-quality standards. While there exist regulatory guidelines for commercial software in this domain (e.g., ARP-4754 and DO-178), these do not apply to software…

Software Engineering · Computer Science 2024-08-06 Guy Katz , Natan Levy , Idan Refaeli , Raz Yerushalmi

This paper introduces several techniques that improve the scalability of the deductive verification of data-level programs working on arrays and matrices. First of all, we introduce a technique to rewrite expressions with (nested)…

Software Engineering · Computer Science 2026-05-14 Lars B. van den Haak , Anton Wijs , Marieke Huisman

This paper presents a novel approach to training neural networks with formal safety guarantees using semidefinite programming (SDP) for verification. Our method focuses on verifying safety over large, high-dimensional input regions,…

Machine Learning · Computer Science 2024-09-17 Roman Soletskyi , David "davidad" Dalrymple

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…

Machine Learning · Computer Science 2019-01-08 Tsui-Wei Weng , Pin-Yu Chen , Lam M. Nguyen , Mark S. Squillante , Ivan Oseledets , Luca Daniel

Computer programs may go wrong due to exceptional behaviors, out-of-bound array accesses, or simply coding errors. Thus, they cannot be blindly trusted. Scientific computing programs make no exception in that respect, and even bring…

With the advancement of deep learning technology, neural networks have demonstrated their excellent ability to provide accurate predictions in many tasks. However, a lack of consideration for neural network calibration will not gain trust…

Machine Learning · Computer Science 2022-11-30 Lei Hsiung , Yung-Chen Tang , Pin-Yu Chen , Tsung-Yi Ho

Verification of Neural Networks (NNs) that approximate the solution of Partial Differential Equations (PDEs) is a major milestone towards enhancing their trustworthiness and accelerating their deployment, especially for safety-critical…

Systems and Control · Electrical Eng. & Systems 2024-02-13 Petros Ellinas , Rahul Nellikath , Ignasi Ventura , Jochen Stiasny , Spyros Chatzivasileiadis