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In this paper we continue the description of the possibilities to use numerical simulations for mathematically rigorous computer assisted analysis of integrability of dynamical systems. We sketch some of the algebraic methods of studying…

Dynamical Systems · Mathematics 2014-11-18 Vladimir Salnikov

The standard engineering approach to modelling of complex systems is highly compositional. In order to be able to understand (or to control) the behavior of a complex dynamical systems, it is often desirable, if not necessary, to view this…

Systems and Control · Computer Science 2013-07-01 Antoine Girard

The concept of joint bivariate signature, introduced by Navarro et al. (2013), is a useful tool for quantifying the reliability of two systems with shared components. As with the univariate system signature, introduced by Samaniego (2007),…

Statistics Theory · Mathematics 2020-08-13 Tahani Coolen-Maturi , Frank P. A. Coolen , Narayanaswamy Balakrishnan

Attestation means providing evidence that a remote target system is worthy of trust for some sensitive interaction. Although attestation is already used in network access control, security management, and trusted execution environments, it…

Cryptography and Security · Computer Science 2026-03-09 Will Thomas , Logan Schmalz , Adam Petz , Perry Alexander , Joshua D. Guttman , Paul D. Rowe , James Carter

Algorithmic verification of realistic systems to satisfy safety and other temporal requirements has suffered from poor scalability of the employed formal approaches. To design systems with rigorous guarantees, many approaches still rely on…

Systems and Control · Electrical Eng. & Systems 2024-03-18 Oliver Schön , Zhengang Zhong , Sadegh Soudjani

Earlier work on machine learning for automated reasoning mostly relied on simple, syntactic features combined with sophisticated learning techniques. Using ideas adopted in the software verification community, we propose the investigation…

Logic in Computer Science · Computer Science 2020-01-15 Sarah Winkler , Georg Moser

Software reliability analysis is performed at various stages during the process of engineering software as an attempt to evaluate if the software reliability requirements have been (or might be) met. In this report, I present a summary of…

Software Engineering · Computer Science 2013-04-17 Ganesh J. Pai

Simulators are a critical component of modern robotics research. Strategies for both perception and decision making can be studied in simulation first before deployed to real world systems, saving on time and costs. Despite significant…

Machine Learning · Computer Science 2020-11-19 Bhairav Mehta , Ankur Handa , Dieter Fox , Fabio Ramos

Artificial intelligence (AI) systems have become increasingly popular in many areas. Nevertheless, AI technologies are still in their developing stages, and many issues need to be addressed. Among those, the reliability of AI systems needs…

Software Engineering · Computer Science 2021-11-11 Yili Hong , Jiayi Lian , Li Xu , Jie Min , Yueyao Wang , Laura J. Freeman , Xinwei Deng

The signature is an infinite graded sequence of statistics known to characterise a stream of data up to a negligible equivalence class. It is a transform which has previously been treated as a fixed feature transformation, on top of which a…

Machine Learning · Computer Science 2019-10-29 Patric Bonnier , Patrick Kidger , Imanol Perez Arribas , Cristopher Salvi , Terry Lyons

Logs are semi-structured text generated by logging statements in software source code. In recent decades, software logs have become imperative in the reliability assurance mechanism of many software systems because they are often the only…

Software Engineering · Computer Science 2021-06-02 Shilin He , Pinjia He , Zhuangbin Chen , Tianyi Yang , Yuxin Su , Michael R. Lyu

In this paper we examine a number of term rewriting system for integer number representations, building further upon the datatype defining systems described in [2]. In particular, we look at automated methods for proving confluence and…

Logic in Computer Science · Computer Science 2016-07-18 Boas Kluiving , Wijnand van Woerkom

Quantum sensing utilize quantum effects, such as entanglement and coherence, to measure physical signals. The performance of a sensing process is characterized by error which requires comparison to a true value. However, in practice, such a…

Quantum Physics · Physics 2024-10-29 Lian-Xiang Cui , Yi-Mu Du , C. P. Sun

The purpose of this report is to look at the measures of importance of components in systems in terms of reliability. In the first work of Birnbaum (1968) on this subject, many interesting studies were created and important indicators were…

Systems and Control · Electrical Eng. & Systems 2021-06-23 Krzysztof J. Szajowski , Małgorzata Średnicka

Our societies are increasingly dependent on services supplied by computers & their software. New technology only exacerbates this dependence by increasing the number, performance, and degree of autonomy and inter-connectivity of…

Computers and Society · Computer Science 2018-03-19 De Florio Vincenzo

In this short note we give and discuss a general multilinear expression of the structure function of an arbitrary semicoherent system in terms of its minimal path and cut sets. We also examine the link between the number of minimal path and…

Applications · Statistics 2016-06-22 Jean-Luc Marichal

Simulation models of complex dynamics in the natural and social sciences commonly lack a tractable likelihood function, rendering traditional likelihood-based statistical inference impossible. Recent advances in machine learning have…

Machine Learning · Statistics 2022-02-24 Joel Dyer , Patrick Cannon , Sebastian M Schmon

A common practice of ML systems development concerns the training of the same model under different data sets, and the use of the same (training and test) sets for different learning models. The first case is a desirable practice for…

Logic in Computer Science · Computer Science 2025-06-06 Leonardo Ceragioli , Giuseppe Primiero

For the design and implementation of engineering systems, performing model-based analysis can disclose potential safety issues at an early stage. The analysis of hybrid system models is in general difficult due to the intrinsic complexity…

Systems and Control · Computer Science 2015-01-26 Yi Deng , Agung Julius

Symbolic computation is an important approach in automated program analysis. Most state-of-the-art tools perform symbolic computation as interpreters and directly maintain symbolic data. In this paper, we show that it is feasible, and in…

Programming Languages · Computer Science 2019-07-10 Henrich Lauko , Petr Ročkai , Jiří Barnat