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In this article, we take a closer look at the reliability of large minimal networks constructed by repeated compositions of the simplest possible networks. For a given number of devices $n=2^m$ we define the set of all the possible…

Discrete Mathematics · Computer Science 2021-12-14 Vlad-Florin Dragoi , Valeriu Beiu

This study intends to present a representation of a pensions fund through a stochastic network with two infinite servers nodes. With this representation it is allowed to deduce an equilibrium condition of the system with basis on the…

Probability · Mathematics 2021-10-18 Manuel Alberto M. Ferreira , Marina Andrade , José António Filipe

The operating point of a power system may change due to slow enough variations of the power injections. Rotating machines in the bulk system can absorb smooth changes in the dynamic states of the system. In this context, we present a novel…

Optimization and Control · Mathematics 2024-01-22 Gabriel Intriago , Holger Cevallos , Yu Zhang

High renewable energy penetration into power distribution systems causes a substantial risk of exceeding voltage security limits, which needs to be accurately assessed and properly managed. However, the existing methods usually rely on the…

Systems and Control · Electrical Eng. & Systems 2024-11-08 Yuanhai Gao , Xiaoyuan Xu , Zheng Yan , Mohammad Shahidehpour , Bo Yang , Xinping Guan

The highly irregular spiking activity of cortical neurons and behavioral variability suggest that the brain could operate in a fundamentally probabilistic way. Mimicking how the brain implements and learns probabilistic computation could be…

Neural and Evolutionary Computing · Computer Science 2024-04-23 Yang Qi , Zhichao Zhu , Yiming Wei , Lu Cao , Zhigang Wang , Jie Zhang , Wenlian Lu , Jianfeng Feng

Sensor networks aim at monitoring their surroundings for event detection and object tracking. But, due to failure, or death of sensors, false signal can be transmitted. In this paper, we consider the problems of distributed fault detection…

Networking and Internet Architecture · Computer Science 2013-01-22 Mrinal Nandi , Anup Dewanji , Bimal Roy , Santanu Sarkar

In this paper, a design space exploration of power delivery networks is performed for multi-chip 2.5-D and 3-D IC technologies. The focus of the paper is the effective placement of the voltage regulator modules (VRMs) for power supply noise…

Hardware Architecture · Computer Science 2020-08-10 Md Obaidul Hossen , Yang Zhang , Hesam Fathi Moghadam , Yue Zhang , Michael Dayringer , Muhannad S Bakir

The stochastic block model is widely used for detecting community structures in network data. How to test the goodness-of-fit of the model is one of the fundamental problems and has gained growing interests in recent years. In this article,…

Methodology · Statistics 2019-08-27 Jianwei Hu , Jingfei Zhang , Hong Qin , Ting Yan , Ji Zhu

In this paper, we consider the problem of attack-resilient state estimation, that is to reliably estimate the true system states despite two classes of attacks: (i) attacks on the switching mechanisms and (ii) false data injection attacks…

Optimization and Control · Mathematics 2017-07-25 Sze Zheng Yong , Minghui Zhu , Emilio Frazzoli

Uncertainty analysis in the form of probabilistic forecasting can significantly improve decision making processes in the smart power grid for better integrating renewable energy sources such as wind. Whereas point forecasting provides a…

Machine Learning · Statistics 2017-10-05 Kostas Hatalis , Alberto J. Lamadrid , Katya Scheinberg , Shalinee Kishore

Neuromorphic architectures built with Non-Volatile Memory (NVM) can significantly improve the energy efficiency of machine learning tasks designed with Spiking Neural Networks (SNNs). A major source of voltage drop in a crossbar of these…

Neural and Evolutionary Computing · Computer Science 2020-09-29 Twisha Titirsha , Anup Das

The dynamics of noise-resilient Boolean networks with majority functions and diverse topologies is investigated. A wide class of possible topological configurations is parametrized as a stochastic blockmodel. For this class of networks, the…

Disordered Systems and Neural Networks · Physics 2012-01-11 Tiago P. Peixoto

Power system operators must ensure that dispatch decisions remain feasible in case of grid outages or contingencies to prevent cascading failures and ensure reliable operation. However, checking the feasibility of all $N - k$ contingencies…

Systems and Control · Electrical Eng. & Systems 2024-10-02 Nicolas Christianson , Wenqi Cui , Steven Low , Weiwei Yang , Baosen Zhang

Continuous-time random disturbances (also called stochastic excitations) due to increasing renewable generation have an increasing impact on power system dynamics; However, except from the Monte Carlo simulation, most existing methods for…

Optimization and Control · Mathematics 2020-07-07 Yiwei Qiu , Jin Lin , Xiaoshuang Chen , Feng Liu , Yonghua Song

In recent times we hear increasingly often about cyber attacks on various commercial and strategic sites that manage to escape any defense. In this article, we model such attacks on networks via stochastic processes and predict the time of…

Probability · Mathematics 2019-01-23 Jewgeni H. Dshalalow , Ryan T. White

This paper studies the stability and $\mathcal{H}_{\infty}$ performance analysis problem for linear networked and quantized control systems with both communication delays random packet losses. To deal with the network-induced uncertainties…

Systems and Control · Electrical Eng. & Systems 2021-03-05 Wei Ren , Junlin Xiong

Two-sample network hypothesis testing is an important inference task with applications across diverse fields such as medicine, neuroscience, and sociology. Many of these testing methodologies operate under the implicit assumption that the…

Methodology · Statistics 2024-05-28 Ayushi Saxena , Vince Lyzinski

The frequency stability of power systems is increasingly challenged by various types of disturbances. In particular, the increasing penetration of renewable energy sources is increasing the variability of power generation and at the same…

Systems and Control · Computer Science 2018-03-26 John Moriarty , Jure Vogrinc , Alessandro Zocca

We consider a particle, confined to a moving harmonic potential, under the influence of friction and external asymmetric Poissonian shot noise (PSN). We study the fluctuations of the work done to maintain this system in a nonequilibrium…

Statistical Mechanics · Physics 2009-04-01 A. Baule , E. G. D. Cohen

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