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Tipping points occur in many real-world systems, at which the system shifts suddenly from one state to another. The ability to predict the occurrence of tipping points from time series data remains an outstanding challenge and a major…

Machine Learning · Computer Science 2024-12-10 Chengzuo Zhuge , Jiawei Li , Wei Chen

This paper considers the distribution of the mutual information of frequency-selective spatially-uncorrelated Rayleigh fading MIMO channels. Results are presented for OFDM-based spatial multiplexing. New exact closed-form expressions are…

Information Theory · Computer Science 2016-11-17 Matthew R. McKay , Peter J. Smith , Himal A. Suraweera , Iain B. Collings

Interference statistics in vehicular networks have long been studied using the Poisson Point Process (PPP) for the locations of vehicles. In roads with few number of lanes and restricted overtaking, this model becomes unrealistic because it…

Networking and Internet Architecture · Computer Science 2020-08-27 Konstantinos Koufos , Carl P. Dettmann

Less than 10 meters deep, shallow landslides are rapidly moving and strongly dangerous slides. In the present work, the probabilistic distribution of the landslide detachment points within a valley is modelled as a spatial Poisson point…

In this paper, the multi-type branching process is applied to describe the statistics and interdependencies of line outages, the load shed, and isolated buses. The offspring mean matrix of the multi-type branching process is estimated by…

Physics and Society · Physics 2016-08-03 Junjian Qi , Wenyun Ju , Kai Sun

The telegraph process models a random motion with finite velocity and it is usually proposed as an alternative to diffusion models. The process describes the position of a particle moving on the real line, alternatively with constant…

Statistics Theory · Mathematics 2008-12-02 Alessandro De Gregorio , Stefano M. Iacus

In a cascading power transmission outage, component outages propagate non-locally, after one component outages, the next failure may be very distant, both topologically and geographically. As a result, simple models of topological contagion…

Physics and Society · Physics 2018-05-14 Paul D. H. Hines , Ian Dobson , Pooya Rezaei

A large number of explicit estimators are proposed in this paper for loss rate estimation in a network of the tree topology. All of the estimators are proved to be unbiased and consistent instead of asymptotic unbiased as that obtained in…

Information Theory · Computer Science 2015-08-06 Weiping Zhu

This work derives the exact outage probability (OP) and ergodic capacity (EC) for the near user (NU) in the widely adopted two-user downlink non-orthogonal multiple access (NOMA) over fading channels. By noting that the noise and fading…

Information Theory · Computer Science 2026-04-14 Arafat Al-Dweik , Alok Kumar Shukla , Sami Muhaidat

Statistical analysis of max-stable processes used to model spatial extremes has been limited by the difficulty in calculating the joint likelihood function. This precludes all standard likelihood-based approaches, including Bayesian…

Computation · Statistics 2011-12-14 Robert J. Erhardt , Richard L. Smith

Since transmission lines are crucial links in the power system, one line outage event may bring about interruption or even cascading failure of the power system. If a quick and accurate line outage detection and localization can be…

Signal Processing · Electrical Eng. & Systems 2019-04-03 Xianda Deng , Desong Bian , Di Shi , Wenxuan Yao , Zhihao Jiang , Yilu Liu

In automotive radar applications, multiple radars are used in all vehicles for improving the imaging quality. However this causes radar-to-radar interference from neighbouring vehicles, thus reducing the imaging quality. One metric to…

Information Theory · Computer Science 2020-10-05 Sudharsan Parthasarathy , Rakshith Jagannath

A network of n communication links, operating over a shared wireless channel, is considered. Fading is assumed to be the dominant factor affecting the strength of the channels between transmitter and receiver terminals. It is assumed that…

Information Theory · Computer Science 2016-11-17 Masoud Ebrahimi , Mohammad A. Maddah-Ali , Amir K. Khandani

A central concern of network operators is to estimate the probability of an incident that affects a significant part and thus may yield to a breakdown. We answer this question by modeling how a failure of either a node or an edge will…

Applications · Statistics 2018-02-22 Sandra König

Simulating potential cascading failures can be useful for avoiding or mitigating such events. Currently, existing steady-state analysis tools are ill-suited for simulating cascading outages as they do not model frequency dependencies, they…

Signal Processing · Electrical Eng. & Systems 2019-11-25 Amritanshu Pandey , Aayushya Agarwal , Marko Jereminov , Martin R. Wagner , David M. Bromberg , Larry Pileggi

We propose a method for determining the most likely cause, in terms of conventional generator outages and renewable fluctuations, of power system frequency reaching a predetermined level that is deemed unacceptable to the system operator.…

Systems and Control · Electrical Eng. & Systems 2020-05-26 Brendan Patch , Bert Zwart

We consider random graphs with uniformly bounded edges on a Poisson point process conditioned to contain the origin. In particular we focus on the random connection model, the Boolean model and Miller-Abrahams random resistor network with…

Probability · Mathematics 2018-10-10 Alessandra Faggionato , Hlafo Alfie Mimun

We propose and analyze a generalized splitting method to sample approximately from a distribution conditional on the occurrence of a rare event. This has important applications in a variety of contexts in operations research, engineering,…

Methodology · Statistics 2019-09-10 Zdravko I. Botev , Pierre L'Ecuyer

For optimal power flow problems with chance constraints, a particularly effective method is based on a fixed point iteration applied to a sequence of deterministic power flow problems. However, a priori, the convergence of such an approach…

Optimization and Control · Mathematics 2023-12-13 Johannes J. Brust , Mihai Anitescu

The free-space optical channel has the potential to facilitate inexpensive, wireless communication with fiber-like bandwidth under short deployment timelines. However, atmospheric effects can significantly degrade the reliability of a…

Information Theory · Computer Science 2008-04-02 Nick Letzepis , Albert Guillen i Fabregas