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We introduce the lcm-filtration and stepwise filtration, comparing their performance across various scenarios in terms of computational complexity, efficiency, and redundancy. The lcm-filtration often involves identical steps or ideals,…

Discrete Mathematics · Computer Science 2025-05-07 Fatemeh Mohammadi , Eduardo Sáenz-de-Cabezón , Henry Wynn

Resilience broadly describes a quality of withstanding perturbations. Measures of system resilience have gathered increasing attention across applied disciplines, yet existing metrics often lack computational accessibility and…

Dynamical Systems · Mathematics 2026-02-09 Andreas Morr , Christian Kuehn , George Datseris

Many concurrent and distributed systems are safety-critical and therefore have to provide a high degree of assurance. Important properties of such systems are frequently proved on the specification level, but implementations typically…

Logic in Computer Science · Computer Science 2023-08-22 Wolfgang Jeltsch , Javier Díaz

In the era of Industry 4.0, system reliability engineering faces both challenges and opportunities. On the one hand, the complexity of cyber-physical systems, the integration of novel numerical technologies, and the handling of large…

Low-cost portable devices capable of capturing signature signals are being increasingly used. Additionally, the social and legal acceptance of the written signature for authentication purposes is opening a range of new applications. We…

Cryptography and Security · Computer Science 2023-01-12 Fernando Alonso-Fernandez , Julian Fierrez-Aguilar , Javier Ortega-Garcia , Joaquin Gonzalez-Rodriguez

Signature verification is an authentication technique that considers handwritten signature as a biometric. From a biometric perspective this project made use of automatic means through an integration of intelligent algorithms to perform…

Signal Processing · Electrical Eng. & Systems 2018-07-30 Rozita Teymourzadeh , Martin kizito , Kok Wai Chan , Mok Vee Hoong

Identity verification based on authenticity assessment of a handwritten signature is an important issue in biometrics. There are many effective methods for signature verification taking into account dynamics of a signing process. Methods…

Computer Vision and Pattern Recognition · Computer Science 2016-10-06 Krzysztof Cpalka , Marcin Zalasinski , Leszek Rutkowski

This paper proposes a variance-based measure of importance for coherent systems with dependent and heterogeneous components. The particular cases of independent components and homogeneous components are also considered. We model the…

Applications · Statistics 2024-09-30 Antonio Arriaza , Jorge Navarro , Miguel Angel Sordo , Alfonso Suárez-Llorens

We do the error analysis in reliability measures due to the assumption of independence amongst the component lifetimes. In reliability theory, we come across different n-component structures like series, parallel, and k-out-of-n systems. A…

Statistics Theory · Mathematics 2024-03-11 Subarna Bhattacharjee , Aninda K. Nanda , Subhasree Patra

Motivated by the Model-Based Design process for Cyber-Physical Systems, we consider issues in conformance testing of systems. Conformance is a quantitative notion of similarity between the output trajectories of systems, which considers…

Systems and Control · Computer Science 2015-11-19 Houssam Abbas , Georgios Fainekos

Quantum technology has led to increasingly sophisticated and complex quantum devices. Assessing their reliability (quantum reliability) is an important issue. Although reliability theory for classical devices has been well developed in…

Quantum Physics · Physics 2023-10-24 L. X. Cui , Y-M. Du , C. P. Sun

An efficient numerical algorithm for the computation of linking number is presented. The algorithm keep tracks or rounding error so that it can ensure the correctness of the results.

Algebraic Topology · Mathematics 2020-01-01 Enrico Bertolazzi , Riccardo Ghiloni , Ruben Specogna

LLMs enable qualitative coding at large scale, but assessing reliability remains challenging where human experts seldom agree. We investigate confidence-diversity calibration as a quality assessment framework for accessible coding tasks…

Machine Learning · Computer Science 2025-08-19 Zhilong Zhao , Yindi Liu

Quantifying the complexity of systems consisting of many interacting parts has been an important challenge in the field of complex systems in both abstract and applied contexts. One approach, the complexity profile, is a measure of the…

Pattern Formation and Solitons · Physics 2013-06-03 Yavni Bar-Yam , Dion Harmon , Yaneer Bar-Yam

Formal verification has been successfully developed in computer science for verifying combinatorial classes of models and specifications. In like manner, formal verification methods have been developed for dynamical systems. However, the…

Systems and Control · Computer Science 2013-08-27 Rafael Wisniewski

As the complexity of software systems rises, methods for explaining their behaviour are becoming ever-more important. When a system fails, it is critical to determine which of its components are responsible for this failure. Within the…

Formal Languages and Automata Theory · Computer Science 2026-02-23 Christel Baier , Rio Klatt , Sascha Klüppelholz , Max Korn , Johannes Lehmann

Legacy systems concentrate business rules, architectural decisions, and operational exceptions that often remain implicit in code, data, configuration, and maintenance practices. At the same time, language-model-based coding agents depend…

Software Engineering · Computer Science 2026-05-19 Sanderson Oliveira de Macedo , Ronaldo Martins da Costa

Solidity is an object-oriented and high-level language for writing smart contracts that are used to execute, verify and enforce credible transactions on permissionless blockchains. In the last few years, analysis of smart contracts has…

Software Engineering · Computer Science 2019-08-16 Chao Peng , Sefa Akca , Ajitha Rajan

Complex system design often proceeds in an iterative fashion, starting from a high-level model and adding detail as the design matures. This process can be assisted by metamodeling techniques that automate some model manipulations and check…

Systems and Control · Electrical Eng. & Systems 2019-10-10 Natasha Jarus , Sahra Sedigh Sarvestani , Ali R. Hurson

A long noted difficulty when assessing the reliability (or calibration) of forecasting systems is that reliability, in general, is a hypothesis not about a finite dimensional parameter but about an entire functional relationship. A…

Data Analysis, Statistics and Probability · Physics 2020-12-09 Jochen Bröcker