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The desire to use reinforcement learning in safety-critical settings has inspired a recent interest in formal methods for learning algorithms. Existing formal methods for learning and optimization primarily consider the problem of…

Artificial Intelligence · Computer Science 2019-06-05 Nathan Fulton , Andre Platzer

This paper aims to provide a thorough study on the effectiveness of the transformation-based ensemble defence for image classification and its reasons. It has been empirically shown that they can enhance the robustness against evasion…

Machine Learning · Computer Science 2020-10-09 Chang Liao , Yao Cheng , Chengfang Fang , Jie Shi

Recent work has exposed the vulnerability of computer vision models to vector field attacks. Due to the widespread usage of such models in safety-critical applications, it is crucial to quantify their robustness against such spatial…

Machine Learning · Computer Science 2021-02-02 Anian Ruoss , Maximilian Baader , Mislav Balunović , Martin Vechev

While deep learning has significantly advanced accident anticipation, the robustness of these safety-critical systems against real-world perturbations remains a major challenge. We reveal that state-of-the-art models like CRASH, despite…

Machine Learning · Computer Science 2026-04-03 Wenjing Wang , Wenxuan Wang , Songning Lai

Robustness is a basic property of any control system. In the context of linear output regulation, it was proved that embedding an internal model of the exogenous signals is necessary and sufficient to achieve tracking of the desired…

Systems and Control · Electrical Eng. & Systems 2021-04-23 Michelangelo Bin , Daniele Astolfi , Lorenzo Marconi

Randomized smoothing, a method to certify a classifier's decision on an input is invariant under adversarial noise, offers attractive advantages over other certification methods. It operates in a black-box and so certification is not…

Machine Learning · Computer Science 2020-06-09 Jamie Hayes

Modern machine learning pipelines leverage large amounts of public data, making it infeasible to guarantee data quality and leaving models open to poisoning and backdoor attacks. Provably bounding model behavior under such attacks remains…

Machine Learning · Computer Science 2024-10-31 Philip Sosnin , Mark N. Müller , Maximilian Baader , Calvin Tsay , Matthew Wicker

In this brief paper we introduce a robust-safety notion for differential inclusions, and we propose a general framework to certify such a notion in terms of barrier functions. While existing literature studied only what we designate by…

Optimization and Control · Mathematics 2023-05-08 Mohamed Maghenem , Masoumeh Ghanbarpour , Adnane Saoud

In this paper, we propose a new robustness notion that is applicable for certifying systems' safety with respect to external disturbance signals. The proposed input-to-state safety (ISSf) notion allows us to certify systems' safety in the…

Systems and Control · Computer Science 2019-02-01 Muhammad Zakiyullah Romdlony , Bayu Jayawardhana

This vision paper presents initial research on assessing the robustness and reliability of AI-enabled systems, and key factors in ensuring their safety and effectiveness in practical applications, including a focus on accountability. By…

Software Engineering · Computer Science 2025-06-23 Filippo Scaramuzza , Damian A. Tamburri , Willem-Jan van den Heuvel

A key property for systems subject to uncertainty in their operating environment is robustness, ensuring that unmodelled, but bounded, disturbances have only a proportionally bounded effect upon the behaviours of the system. Inspired by…

Systems and Control · Computer Science 2011-08-24 Rupak Majumdar , Elaine Render , Paulo Tabuada

A vast literature shows that the learning-based visual perception model is sensitive to adversarial noises, but few works consider the robustness of robotic perception models under widely-existing camera motion perturbations. To this end,…

Computer Vision and Pattern Recognition · Computer Science 2022-11-15 Hanjiang Hu , Zuxin Liu , Linyi Li , Jiacheng Zhu , Ding Zhao

Forward invariance is a long-studied property in control theory that is used to certify that a dynamical system stays within some pre-specified set of states for all time, and also admits robustness guarantees (e.g., the certificate holds…

Machine Learning · Computer Science 2023-12-25 Yujia Huang , Ivan Dario Jimenez Rodriguez , Huan Zhang , Yuanyuan Shi , Yisong Yue

The present article introduces a reference framework for discussing resilience of computational systems. Rather than a property that may or may not be exhibited by a system, resilience is interpreted here as the emerging result of a dynamic…

Systems and Control · Computer Science 2015-04-13 Vincenzo De Florio

The theory of disordered elastic systems is one of the most powerful frameworks to assess the physics of multiple systems that span from ferromagnets to migrating biological cells. In this formalism, one assumes that the system can be…

Disordered Systems and Neural Networks · Physics 2022-11-28 Nirvana Caballero , Thierry Giamarchi

This paper presents a formal verification guided approach for a principled design and implementation of robust and resilient learning-enabled systems. We focus on learning-enabled state estimation systems (LE-SESs), which have been widely…

Robotics · Computer Science 2024-04-09 Wei Huang , Yifan Zhou , Gaojie Jin , Youcheng Sun , Jie Meng , Fan Zhang , Xiaowei Huang

Control systems should enforce a desired property for both expected modeled situations as well as unexpected unmodeled environmental situations. Existing methods focus on designing controllers to enforce the desired property only when the…

Systems and Control · Electrical Eng. & Systems 2021-10-19 Rômulo Meira-Góes , Eunsuk Kang , Stéphane Lafortune , Stavros Tripakis

Dependability is an umbrella concept that subsumes many key properties about a system, including reliability, maintainability, safety, availability, confidentiality, and integrity. Various dependability modeling techniques have been…

Software Engineering · Computer Science 2016-06-23 Waqar Ahmed , Osman Hasan , Sofiene Tahar

This paper establishes the equivalence between robust safety and the existence of a barrier function certificate for differential inclusions. More precisely, for a robustly-safe differential inclusion, a barrier function is constructed as…

Optimization and Control · Mathematics 2024-08-05 Mohamed Maghenem , Masoumeh Ghanbarpour

This chapter explores the foundational concept of robustness in Machine Learning (ML) and its integral role in establishing trustworthiness in Artificial Intelligence (AI) systems. The discussion begins with a detailed definition of…

Machine Learning · Computer Science 2024-05-07 Houssem Ben Braiek , Foutse Khomh