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In a variety of systems which exhibit aging, the two-time response function scales as $R(t,s)\approx s^{-1-a} f(t/s)$. We argue that dynamical scaling can be extended towards conformal invariance, obtaining thus the explicit form of the…

High Energy Physics - Theory · Physics 2012-10-18 Malte Henkel , Michel Pleimling , Claude Godreche , Jean-Marc Luck

Entity information network is used to describe structural relationships between entities. Taking advantage of its extension and heterogeneity, entity information network is more and more widely applied to relationship modeling. Recent…

Information Retrieval · Computer Science 2017-10-11 Liang Yin , Li-Chen Shi , Jun-Yan Zhao , Song-Yang Du , Wen-Bo Xie , Duan-Bing Chen

We describe a percolation-type approach to modeling of the processes of aging and certain other properties of tissues analyzed as systems consisting of interacting cells. Tissues are considered as structures made of regular healthy,…

Statistical Mechanics · Physics 2016-01-28 Vladimir Privman , Vyacheslav Gorshkov , Sergiy Libert

CMOS technology scaling makes aging effects an important concern for the design and fabrication of integrated circuits. Aging deterioration reduces the useful life of a circuit, making it fail earlier. This deterioration can affect all…

Hardware Architecture · Computer Science 2020-07-16 Leonardo Rezende Juracy , Matheus Trevisan Moreira , Alexandre de Morais Amory , Fernando Gehm Moraes

Recurrence is a fundamental property of dynamical systems, which can be exploited to characterise the system's behaviour in phase space. A powerful tool for their visualisation and analysis called recurrence plot was introduced in the late…

Chaotic Dynamics · Physics 2025-01-27 Norbert Marwan , Maria Carmen Romano , Marco Thiel , Jürgen Kurths

In reliability and life testing when the exponentially distributed components are put in series, it is generally assumed that the lifetimes of the components are independently distributed, which leads to some errors if they are not actually…

Statistics Theory · Mathematics 2019-02-26 Asok K. Nanda , Sanjib Gayen , Shovan Chowdhury

We propose a computational framework to quantify (measure) and to optimize the reliability of complex systems. The approach uses a graph representation of the system that is subject to random failures of its components (nodes and edges).…

Optimization and Control · Mathematics 2021-06-25 Joshua L. Pulsipher , Victor M. Zavala

In collaborative systems with complex tasks relying on distributed resources, trust evaluation of potential collaborators has emerged as an effective mechanism for task completion. However, due to the network dynamics and varying…

Artificial Intelligence · Computer Science 2025-08-04 Botao Zhu , Xianbin Wang , Lei Zhang , Xuemin , Shen

Time series data are crucial across diverse domains such as finance and healthcare, where accurate forecasting and decision-making rely on advanced modeling techniques. While generative models have shown great promise in capturing the…

Machine Learning · Statistics 2025-02-21 Aoran Zhang , Wenbin Zhou , Liyan Xie , Shixiang Zhu

This paper deals with fairness in stable marriage problems. The idea studied here is to achieve fairness thanks to a Generalized Gini Index (GGI), a well-known criterion in inequality measurement, that includes both the egalitarian and…

Computational Complexity · Computer Science 2018-09-25 Hugo Gilbert , Olivier Spanjaard

Interconnected networks describe the dynamics of important systems in a wide range such as biological systems and electrical power grids. Some important features of these systems were successfully studied and understood through simplified…

Systems and Control · Computer Science 2016-03-18 Thanh Long Vu , Konstantin Turitsyn

We review basic modeling approaches for failure and maintenance data from repairable systems. In particular we consider imperfect repair models, defined in terms of virtual age processes, and the trend-renewal process which extends the…

Methodology · Statistics 2007-08-03 Bo Henry Lindqvist

We consider two models of two-units repairable systems: cold standby system and warm standby system. We suppose that the lifetimes and repair times of the units are all independent exponentially distributed random variables. Using…

Probability · Mathematics 2020-07-08 J. M. Corujo , J. E. Valdés , J. C Laria

The dynamics of strongly disordered systems becomes extremely slow or glassy at low temperatures, which results in a characteristic aging scenario. This means that the outcome of measurements strongly depends on the history of the system…

Condensed Matter · Physics 2015-06-25 Heiko Rieger

The integration of advanced technologies, such as Artificial Intelligence (AI), into manufacturing processes is attracting significant attention, paving the way for the development of intelligent systems that enhance efficiency and…

Neural and Evolutionary Computing · Computer Science 2025-12-09 Mohammadhossein Ghahramani , Yan Qiao , NaiQi Wu , Mengchu Zhou

A principled approach to cyclicality and intransitivity in paired comparison data is developed. The proposed methodology enables more precise estimation of the underlying preference profile and facilitates the identification of all cyclic…

Methodology · Statistics 2025-10-08 Rahul Singh , Ori Davidov

Recently we have used a cellular automata model which describes the dynamics of a multi-connected network to reproduce the refractory behavior and aging effects obtained in immunization experiments performed with mice when subjected to…

Statistical Mechanics · Physics 2007-05-23 Mauro Copelli , Rita M. Zorzenon dos Santos , Daniel A. Stariolo

Linear time-invariant (LTI) systems appear frequently in natural sciences and engineering contexts. Many LTI systems are described by ordinary differential equations (ODEs). For example, biological gene regulation, analog filter circuits,…

Systems and Control · Electrical Eng. & Systems 2019-12-18 Parker S. Ruth , Herbert M. Sauro

Robustness guarantees are important properties to be looked for during control design. They ensure stability of closed-loop systems in face of uncertainties, unmodeled effects and bounded disturbances. While the theory on robust stability…

Systems and Control · Electrical Eng. & Systems 2022-10-10 Samuele Zoboli , Daniele Astolfi , Vincent Andrieu

Tree-structured models are a powerful alternative to parametric regression models if non-linear effects and interactions are present in the data. Yet, classical tree-structured models might not be appropriate if data comes in clusters of…

Methodology · Statistics 2025-01-23 Nikolai Spuck , Matthias Schmid , Moritz Berger