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Fault Tree analysis is a widely used failure analysis methodology to assess a system in terms of safety or reliability in many industrial application domains. However, with Fault Tree methodology there is no possibility to express a…

Software Engineering · Computer Science 2021-06-02 Marc Zeller , Francesco Montrone

The concepts of probability, statistics and stochastic theory are being successfully used in structural engineering. Markov Chain modelling is a simple stochastic process model that has found its application in both describing stochastic…

Applications · Statistics 2007-08-14 K. Balaji Rao

Context: Use case (UC) descriptions are a prominent format for specifying functional requirements. Existing literature abounds with recommendations on how to write high-quality UC descriptions but lacks insights into (1) their real-world…

Software Engineering · Computer Science 2025-06-17 Julian Frattini , Anja Frattini

The Use Case Maps (UCM) scenario notation is applicable to many requirements engineering activities. However, other scenario notations, such as Message Sequence Charts (MSC) and UML Sequence Diagrams (SD), have shown to be better suited for…

Software Engineering · Computer Science 2010-12-14 Daniel Amyot , Ali Echihabi , Yong He

In parameter estimation problems one computes a posterior distribution over uncertain parameters defined jointly by a prior distribution, a model, and noisy data. Markov Chain Monte Carlo (MCMC) is often used for the numerical solution of…

Numerical Analysis · Mathematics 2017-11-15 Matthias Morzfeld , Marcus S. Day , Ray W. Grout , George Shu Heng Pau , Stefan A. Finsterle , John B. Bell

Parametric Markov chains occur quite naturally in various applications: they can be used for a conservative analysis of probabilistic systems (no matter how the parameter is chosen, the system works to specification); they can be used to…

Logic in Computer Science · Computer Science 2018-11-05 Paul Gainer , Ernst Moritz Hahn , Sven Schewe

When developing a safety-critical system it is essential to obtain an assessment of different design alternatives. In particular, an early safety assessment of the architectural design of a system is desirable. In spite of the plethora of…

Software Engineering · Computer Science 2011-07-07 Florian Leitner-Fischer , Stefan Leue

Verification of infinite-state Markov chains is still a challenge despite several fruitful numerical or statistical approaches. For decisive Markov chains, there is a simple numerical algorithm that frames the reachability probability as…

Logic in Computer Science · Computer Science 2024-09-30 Benoît Barbot , Patricia Bouyer , Serge Haddad

Markov chain (MC) algorithms are ubiquitous in machine learning and statistics and many other disciplines. Typically, these algorithms can be formulated as acceptance rejection methods. In this work we present a novel estimator applicable…

Machine Learning · Statistics 2020-08-07 Ingmar Schuster , Ilja Klebanov

The importance of mission or safety critical software systems in many application domains of embedded systems is continuously growing, and so is the effort and complexity for reliability and safety analysis. Model driven development is…

Software Engineering · Computer Science 2021-06-01 Kai Hoefig , Andreas Joanni , Marc Zeller , Francesco Montrone , Martin Rothfelder , Rakshith Amarnath , Peter Munk , Arne Nordmann

Objective: To identify and classify the positive and negative impacts of using Use Cases in real-world settings. Method: We conducted a systematic mapping study. The search strategies retrieved a set of 4,431 papers out of which 47 were…

Software Engineering · Computer Science 2019-06-18 José L. Barros-Justo , Fabiane B. V. Benitti , Saurabh Tiwari

The Importance Markov chain is a novel algorithm bridging the gap between rejection sampling and importance sampling, moving from one to the other through a tuning parameter. Based on a modified sample of an instrumental Markov chain…

Computation · Statistics 2024-02-27 Charly Andral , Randal Douc , Hugo Marival , Christian P. Robert

Safety cases become increasingly important for software certification. Models play a crucial role in building and combining information for the safety case. This position paper sketches an ideal model-based safety case with defect…

Software Engineering · Computer Science 2018-06-14 Peter Braun , Jan Philipps , Bernhard Schätz , Stefan Wagner

Understanding the decision-making processes of large language models (LLMs) is essential for their trustworthy development and deployment. However, current interpretability methods often face challenges such as low resolution and high…

Computation and Language · Computer Science 2025-10-14 Tian Lan , Jinyuan Xu , Xue He , Jenq-Neng Hwang , Lei Li

We show that for any multiple-try Metropolis algorithm, one can always accept the proposal and evaluate the importance weight that is needed to correct for the bias without extra computational cost. This results in a general, convenient,…

Computation · Statistics 2024-10-03 Guanxun Li , Aaron Smith , Quan Zhou

Software ecosystems (SECOs) and open innovation processes have been claimed as a way forward for the software industry. A proper understanding of requirements is as important for these IT-systems as for more traditional ones. This paper…

Software Engineering · Computer Science 2018-01-03 Aparna Vegendla , Anh Nguyen Duc , Shang Gao , Guttorm Sindre

Feature importance scores are ubiquitous tools for understanding the predictions of machine learning models. However, many popular attribution methods suffer from high instability due to random sampling. Leveraging novel ideas from…

Machine Learning · Statistics 2025-07-08 Jeremy Goldwasser , Giles Hooker

Markov Chain Monte Carlo (MCMC) methods for sampling probability density functions (combined with abundant computational resources) have transformed the sciences, especially in performing probabilistic inferences, or fitting models to data.…

Instrumentation and Methods for Astrophysics · Physics 2018-05-23 David W. Hogg , Daniel Foreman-Mackey

Software testing involves identifying the test cases whichdiscover errors in the program. However, exhaustive testing ofsoftware is very time consuming. In this paper, a technique isproposed to prioritize test case scenarios by identifying…

Software Engineering · Computer Science 2014-10-21 Chayanika Sharma , Sangeeta Sabharwal , Ritu Sibal

The fundamental step in measuring the robustness of a system is the synthesis of the so called Process Map.This is generally based on the user raw data material.Process Maps are of fundamental importance towards the understanding of the…

Artificial Intelligence · Computer Science 2014-03-31 Arti Gupta , Prof. N. T Deotale
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