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Randomized smoothing has become a leading approach for certifying adversarial robustness in machine learning models. However, a persistent gap remains between theoretical certified robustness and empirical robustness accuracy. This paper…

Machine Learning · Computer Science 2025-04-10 Blaise Delattre , Paul Caillon , Quentin Barthélemy , Erwan Fagnou , Alexandre Allauzen

To improve the predictive capacity of system models in the input-output sense, this paper presents a framework for model updating via learning of modeling uncertainties in locally (and thus also in globally) Lipschitz nonlinear systems.…

Systems and Control · Electrical Eng. & Systems 2024-06-11 Farhad Ghanipoor , Carlos Murguia , Peyman Mohajerin Esfahani , Nathan van de Wouw

The quality and correct functioning of software components embedded in electronic systems are of utmost concern especially for safety and mission-critical systems. Model-based testing and formal verification techniques can be employed to…

Formal Languages and Automata Theory · Computer Science 2019-01-08 Shahbaz Ali , Hailong Sun , Yongwang Zhao

Usually, given a continuous-time nonlinear model, a closed form solution for an exact discretization cannot be found explicitly, originating the need of approximating discrete-time models. This note studies the preservation of the Lipschitz…

Systems and Control · Computer Science 2020-04-21 Masoud Abbaszadeh

Today, machine learning (ML) models are increasingly applied in decision making. This induces an urgent need for quality assurance of ML models with respect to (often domain-dependent) requirements. Monotonicity is one such requirement. It…

Machine Learning · Computer Science 2020-02-28 Arnab Sharma , Heike Wehrheim

Existing integrity verification approaches for deep models are designed for private verification (i.e., assuming the service provider is honest, with white-box access to model parameters). However, private verification approaches do not…

Cryptography and Security · Computer Science 2023-01-02 Shuo Wang , Sharif Abuadbba , Sidharth Agarwal , Kristen Moore , Ruoxi Sun , Minhui Xue , Surya Nepal , Seyit Camtepe , Salil Kanhere

Runtime verification is a lightweight verification technique that complements model checking by analyzing system executions at runtime rather than exploring a complete system model in advance. It is particularly useful for partially…

Logic in Computer Science · Computer Science 2026-04-30 Benedikt Bollig

Runtime verification is checking whether a system execution satisfies or violates a given correctness property. A procedure that automatically, and typically on the fly, verifies conformance of the system's behavior to the specified…

Software Engineering · Computer Science 2013-03-06 Mikhail Chupilko , Alexander Kamkin

In this paper we present a novel model checking approach to finite-time safety verification of black-box continuous-time dynamical systems within the framework of probably approximately correct (PAC) learning. The black-box dynamical…

Systems and Control · Electrical Eng. & Systems 2020-07-21 Bai Xue , Miaomiao Zhang , Arvind Easwaran , Qin Li

In embedded control systems, the potential risks of software defects have been increasing because of software complexity which leads to, for example, timing related problems. These defects are rarely found by tests or simulations. To detect…

Logic in Computer Science · Computer Science 2013-01-03 Masahiro Matsubara , Kohei Sakurai , Fumio Narisawa , Masushi Enshoiwa , Yoshio Yamane , Hisamitsu Yamanaka

Deployed machine learning systems must continuously evolve as data, architectures, and regulations change, often without access to original training data or model internals. In such settings, black-box copying provides a practical…

Machine Learning · Computer Science 2026-01-29 Rubén Jiménez , Oriol Pujol

As robots venture into the real world, they are subject to unmodeled dynamics and disturbances. Traditional model-based control approaches have been proven successful in relatively static and known operating environments. However, when an…

Robotics · Computer Science 2021-12-08 Siqi Zhou , Karime Pereida , Wenda Zhao , Angela P. Schoellig

In this paper, we consider the data-driven model invalidation problem for Lipschitz continuous systems, where instead of given mathematical models, only prior noisy sampled data of the systems are available. We show that this data-driven…

Systems and Control · Electrical Eng. & Systems 2020-03-27 Zeyuan Jin , Mohammad Khajenejad , Sze Zheng Yong

System modeling is a classical approach to ensure their reliability since it is suitable both for a formal verification and for software testing techniques. In the context of model-based testing an approach combining random testing and…

Software Engineering · Computer Science 2018-06-14 Julien Bernard , Pierre-Cyrille Héam , Olga Kouchnarenko

Building models that comply with the invariances inherent to different domains, such as invariance under translation or rotation, is a key aspect of applying machine learning to real world problems like molecular property prediction,…

Machine Learning · Computer Science 2023-01-04 Jan Schuchardt , Stephan Günnemann

The dynamic response of the legged robot locomotion is non-Lipschitz and can be stochastic due to environmental uncertainties. To test, validate, and characterize the safety performance of legged robots, existing solutions on observed and…

Robotics · Computer Science 2023-01-12 Bowen Weng , Guillermo A. Castillo , Wei Zhang , Ayonga Hereid

Autonomous systems must sustain justified confidence in their correctness and safety across their operational lifecycle-from design and deployment through post-deployment evolution. Traditional assurance methods often separate…

Software Engineering · Computer Science 2025-11-20 Dhaminda B. Abeywickrama , Michael Fisher , Frederic Wheeler , Louise Dennis

Randomized smoothing is the state-of-the-art approach to construct image classifiers that are provably robust against additive adversarial perturbations of bounded magnitude. However, it is more complicated to construct reasonable…

Computer Vision and Pattern Recognition · Computer Science 2024-08-12 Dmitrii Korzh , Mikhail Pautov , Olga Tsymboi , Ivan Oseledets

ML models are increasingly deployed in settings with real world interactions such as vehicles, but unfortunately, these models can fail in systematic ways. To prevent errors, ML engineering teams monitor and continuously improve these…

Artificial Intelligence · Computer Science 2020-03-13 Daniel Kang , Deepti Raghavan , Peter Bailis , Matei Zaharia

Calibration and validation techniques are crucial in assessing the descriptive and predictive power of car-following models and their suitability for analyzing traffic flow. Using real and generated floating-car and trajectory data, we…

Physics and Society · Physics 2014-03-21 Martin Treiber , Arne Kesting
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