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RNA motifs typically consist of short, modular patterns that include base pairs formed within and between modules. Estimating the abundance of these patterns is of fundamental importance for assessing the statistical significance of matches…

Probability · Mathematics 2007-05-23 Manuel Lladser , M. D. Betterton , Rob Knight

Finite element model updating is challenging because 1) the problem is oftentimes underdetermined while the measurements are limited and/or incomplete; 2) many combinations of parameters may yield responses that are similar with respect to…

Applications · Statistics 2021-07-28 Kai Zhou , Jiong Tang

In this paper we study various properties of finite stochastic systems or hidden Markov chains as they are alternatively called. We discuss their construction following different approaches and we also derive recursive filtering formulas…

Probability · Mathematics 2014-07-15 Peter Spreij

Cascading failure of a power transmission system are initiated by an exogenous event that disable a set of elements (e.g., lines) followed by a sequence of interrelated failures (or more precisely, trips) of overloaded elements caused by…

Optimization and Control · Mathematics 2015-07-21 Daniel Bienstock , Guy Grebla

The Meantime to Failure is a statistic used to determine how much time a system spends to enter one of its absorption states. This statistic can be used in most areas of knowledge. In engineering, for example, can be used as a measure of…

Artificial Intelligence · Computer Science 2022-02-04 Eduardo M. Vasconcelos

A load sharing system has several components and the failure of one component can affect the lifetime of the surviving components. Since component failure does not equate to system failure for different system designs, the analysis of the…

Applications · Statistics 2023-07-20 Tim Pesch , Erhard Cramer , Edward Cripps , Adriano Polpo

Nowadays, the consequences of failure and downtime of distributed systems have become more and more severe. As an obvious solution, these systems incorporate protection mechanisms to tolerate faults that could cause systems failures and…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-19 Andrey A. Shchurov , Radek Marik

Process mining techniques can help organizations to improve their operational processes. Organizations can benefit from process mining techniques in finding and amending the root causes of performance or compliance problems. Considering the…

Machine Learning · Computer Science 2021-08-18 Mahnaz Sadat Qafari , Wil van der Aalst

We introduce block Markov chains (BMCs) indexed by an infinite rooted tree. It turns out that BMCs define a new class of tree-indexed Markovian processes. We clarify the structure of BMCs in connection with Markov chains (MCs) and Markov…

Probability · Mathematics 2020-08-25 Abdessatar Souissi

Modern microgrids are networked systems comprising physical and cyber components for networking, computation, and monitoring. These cyber components make microgrids more reliable but increase the system complexity. Therefore, risk…

Systems and Control · Electrical Eng. & Systems 2022-01-04 Shravan Kumar Akula , Hossein Salehfar

Fixed effects models are very flexible because they do not make assumptions on the distribution of effects and can also be used if the heterogeneity component is correlated with explanatory variables. A disadvantage is the large number of…

Methodology · Statistics 2015-12-17 Moritz Berger , Gerhard Tutz

Safety and security are critical to the reliable operation of connected and automated vehicles (CAVs). While existing research has identified correlations between the two domains, a theoretical framework to analyze their interaction…

Cryptography and Security · Computer Science 2025-12-18 Xingyu Li , Qi Liu , Yufeng Li

Continuous Time Markov Chain (CMTC) is widely used to describe and analyze systems in several knowledge areas. Steady state availability is one important analysis that can be made through Markov chain formalism that allows researchers…

Performance · Computer Science 2017-01-24 Eduardo M. Vasconcelos

We study the problem of sequentially testing whether a given stochastic process is generated by a known Markov chain. Formally, given access to a stream of random variables, we want to quickly determine whether this sequence is a trajectory…

Applications · Statistics 2025-01-24 Greg Fields , Tara Javidi , Shubhanshu Shekhar

Modeling and verifying real-world cyber-physical systems is challenging, which is especially so for complex systems where manually modeling is infeasible. In this work, we report our experience on combining model learning and abstraction…

Artificial Intelligence · Computer Science 2019-11-22 Jingyi Wang , Jun Sun , Yifan Jia , Shengchao Qin , Zhiwu Xu

In line with the IEC 61508 functional safety standard, it is required to assess the safety integrity of a system due to random hardware failures. For a rarely used function (operating in a low demand mode), the measurement used is average…

Probability · Mathematics 2015-01-21 F Brissaud , B Declerck

Dynamic Fault Trees (DFT) are widely adopted in industry to assess the dependability of safety-critical equipment. Since many systems are too large to be studied numerically, DFTs dependability is often analysed using Monte Carlo…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-29 Carlos E. Budde , Marco Biagi , Raúl E. Monti , Pedro R. D'Argenio , Mariëlle Stoelinga

This paper studies a Markov network model for unbalanced data, aiming to solve the problems of classification bias and insufficient minority class recognition ability of traditional machine learning models in environments with uneven class…

Machine Learning · Computer Science 2025-02-06 Junliang Du , Shiyu Dou , Bohuan Yang , Jiacheng Hu , Tai An

Predictive Maintenance (PdM) can only be implemented when the online knowledge of system condition is available, and this has become available with deployment of on-equipment sensors. To date, most studies on predicting the remaining useful…

Systems and Control · Computer Science 2020-03-25 Dongjin Lee , Rong Pan

Specialized classifiers, namely those dedicated to a subset of classes, are often adopted in real-world recognition systems. However, integrating such classifiers is nontrivial. Existing methods, e.g. weighted average, usually implicitly…

Machine Learning · Computer Science 2017-09-08 Zhizhong Li , Dahua Lin