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We introduce PWP a method for counting indirect influences and compare it with three well-known methods. We provide combinatorial as well as probabilistic interpretation for the PWP method.

Combinatorics · Mathematics 2014-09-02 Rafael Diaz

While time series prediction is an important, actively studied problem, the predictive accuracy of time series models is complicated by non-stationarity. We develop a fast and effective approach to allow for non-stationarity in the…

Applications · Statistics 2015-12-10 Daniel M. McCarthy , Shane T. Jensen

A new characteristic of paired nodes in a directed weight complex network is considered. A method (named as K-method) of the characteristics calculation for complex networks is proposed. The method is based on transforming the initial…

Social and Information Networks · Computer Science 2019-06-26 Andrei Snarskii , Dmyto Lande , Dmyto Manko

Estimating causal effects under interference, where the stable unit treatment value assumption is violated, is critical in fields such as regional and public economics. Much of the existing research on causal inference under interference…

Methodology · Statistics 2026-02-03 Akihiro Sato , Shonosuke Sugasawa

Models of network diffusion typically rely on the Laplacian matrix, capturing interactions via direct connections. Beyond direct interactions, information in many systems can also flow via indirect pathways, where influence typically…

Physics and Society · Physics 2025-10-10 Lluís Torres-Hugas , Jordi Duch , Sergio Gómez

We propose a new method to estimate structural parameters in multi-way networks while controlling for rich structures of fixed effects. The method is based on a series of classification tasks and is agnostic to both the number and structure…

Econometrics · Economics 2026-01-08 Lucas Resende , Guillaume Lecué , Lionel Wilner , Philippe Choné

The direct effect of one eventon another can be defined and measured byholding constant all intermediate variables between the two.Indirect effects present conceptual andpractical difficulties (in nonlinear models), because they cannot be…

Artificial Intelligence · Computer Science 2013-01-14 Judea Pearl

A fundamental feature for understanding the diffusion of innovations through a social group is the manner in which we are influenced by our own social interactions. It is usually assumed that only direct interactions, those that form our…

Physics and Society · Physics 2024-07-08 Manuel Miranda , María Pereda , Angel Sánchez , Ernesto Estrada

Modularity is one of the most widely used measures for evaluating communities in networks. In probabilistic networks, where the existence of edges is uncertain and uncertainty is represented by probabilities, the expected value of…

Data Structures and Algorithms · Computer Science 2025-04-23 Xin Shen , Matteo Magnani , Christian Rohner , Fiona Skerman

Predicting when an individual will adopt a new behavior is an important problem in application domains such as marketing and public health. This paper examines the perfor- mance of a wide variety of social network based measurements…

Social and Information Networks · Computer Science 2016-07-26 Nikhil Kumar , Ruocheng Guo , Ashkan Aleali , Paulo Shakarian

In this paper, we propose a discrete circular distribution obtained by extending the wrapped Poisson distribution. This new distribution, the Invariant Wrapped Poisson (IWP), enjoys numerous advantages: simple tractable density,…

We study an extension of Duncan Watts' 2002 model of information cascades in social networks where edge weights are taken to be random, an innovation motivated by recent applications of cascade analysis to systemic risk in financial…

Physics and Society · Physics 2012-11-27 T. R. Hurd , James P. Gleeson

The analysis of practical probabilistic models on the computer demands a convenient representation for the available knowledge and an efficient algorithm to perform inference. An appealing representation is the influence diagram, a network…

Artificial Intelligence · Computer Science 2013-04-15 Ross D. Shachter

This article develops $p$-values for evaluating means of normal populations that make use of indirect or prior information. A $p$-value of this type is based on a biased test statistic that is optimal on average with respect to a…

Methodology · Statistics 2019-12-12 Peter D. Hoff

The $p_0$ model is an exponential random graph model for directed networks with the bi-degree sequence as the exclusively sufficient statistic. It captures the network feature of degree heterogeneity. The consistency and asymptotic…

Statistics Theory · Mathematics 2020-03-26 Qiuping Wang , Xiao Zhang , Jing Luo , Yang Ouyang , Qian Wang

Evaluating node influence is fundamental for identifying key nodes in complex networks. Existing methods typically rely on generic indicators to rank node influence across diverse networks, thereby ignoring the individualized features of…

Social and Information Networks · Computer Science 2024-05-14 Bingyu Zhu , Qingyun Sun , Jianxin Li , Daqing Li

The use of inverse probability weighting (IPW) methods to estimate the causal effect of treatments from observational studies is widespread in econometrics, medicine and social sciences. Although these studies often involve sensitive…

Machine Learning · Computer Science 2019-11-04 Si Kai Lee , Luigi Gresele , Mijung Park , Krikamol Muandet

Estimation of sensitivity matrices in electrical transmission systems allows grid operators to evaluate in real-time how changes in power injections reflect into changes in power flows. In this paper, we propose a robust low-rank…

Optimization and Control · Mathematics 2023-09-12 Ana M. Ospina , Emiliano Dall'Anese

In this paper, we tackle a challenging problem inherent in a series of applications: tracking the influential nodes in dynamic networks. Specifically, we model a dynamic network as a stream of edge weight updates. This general model…

Social and Information Networks · Computer Science 2017-08-25 Yu Yang , Zhefeng Wang , Jian Pei , Enhong Chen

The PWP map was introduced by the second author as a tool for ranking nodes in networks. In this work we extend this technique so that it can be used to rank links as well. Applying the Girvan-Newman algorithm a ranking method on links…

Social and Information Networks · Computer Science 2018-03-22 Jorge Catumba , Rafael Diaz , Angelica Vargas
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