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Peer effect estimation requires precise network measurement, yet most empirical networks are noisy, rendering standard estimators inconsistent. To address measurement error in networks, we propose a method to estimate peer effects in…

Methodology · Statistics 2026-05-06 Alex Hayes , Keith Levin

We introduce an original mathematical model to analyze the diffusion of posts within a generic online social platform. Each user of such a platform has his own Wall and Newsfeed, as well as his own self-posting and re-posting activity. As a…

Networking and Internet Architecture · Computer Science 2019-06-25 Anastasios Giovanidis , Bruno Baynat , Antoine Vendeville

Dynamic factor models are often estimated by point-estimation methods, disregarding parameter uncertainty. We propose a method accounting for parameter uncertainty by means of posterior approximation, using variational inference. Our…

Methodology · Statistics 2022-10-14 Erik Spånberg

Evaluating causal effects in the presence of interference is challenging in network-based studies of hard-to-reach populations. Like many such populations, people who inject drugs (PWID) are embedded in social networks and often exert…

In weighted graphs the shortest path between two nodes is often reached through an indirect path, out of all possible connections, leading to structural redundancies which play key roles in the dynamics and evolution of complex networks. We…

Social and Information Networks · Computer Science 2023-06-14 Felipe Xavier Costa , Rion Brattig Correia , Luis M. Rocha

Tie strength prediction, sometimes named weight prediction, is vital in exploring the diversity of connectivity pattern emerged in networks. Due to the fundamental significance, it has drawn much attention in the field of network analysis…

Social and Information Networks · Computer Science 2020-01-16 Zhen Liu , Hu li , Chao Wang

Several techniques were proposed to model the Piecewise linear (PWL) functions, including convex combination, incremental and multiple choice methods. Although the incremental method was proved to be very efficient, the attention of the…

Optimization and Control · Mathematics 2018-02-13 Mutaz Tuffaha , Jan Tommy Gravdahl

We propose a conceptually novel method of reconstructing the topology of dynamical networks. By examining the correlation between the variable of one node and the derivative of another node, we derive a simple matrix equation yielding the…

Data Analysis, Statistics and Probability · Physics 2015-06-11 Zoran Levnajić

A new initialization method for hidden parameters in a neural network is proposed. Derived from the integral representation of the neural network, a nonparametric probability distribution of hidden parameters is introduced. In this…

Machine Learning · Computer Science 2014-02-20 Sho Sonoda , Noboru Murata

Inverse probability weighting (IPW) methods are commonly used to analyze non-ignorable missing data under the assumption of a logistic model for the missingness probability. However, solving IPW equations numerically may involve…

Methodology · Statistics 2025-07-24 Pengfei Li , Jing Qin , Yukun Liu

We address the problem of inferring the topology of a wireless network using limited observational data. Specifically, we assume that we can detect when a node is transmitting, but no further information regarding the transmission is…

Networking and Internet Architecture · Computer Science 2025-07-03 James Martin , Tristan Pryer , Luca Zanetti

The potential influence diagram is a generalization of the standard "conditional" influence diagram, a directed network representation for probabilistic inference and decision analysis [Ndilikilikesha, 1991]. It allows efficient inference…

Artificial Intelligence · Computer Science 2013-03-08 Ross D. Shachter , Pierre Ndilikilikesha

Partially-observed network data collected by link-tracing based sampling methods is often being studied to obtain the characteristics of a large complex network. However, little attention has been paid to sampling from directed networks…

Social and Information Networks · Computer Science 2014-05-28 Mostafa Salehi , Hamid R. Rabiee

Information entropy has been proved to be an effective tool to quantify the structural importance of complex networks. In the previous work (Xu et al, 2016 \cite{xu2016}), we measure the contribution of a path in link prediction with…

Social and Information Networks · Computer Science 2017-03-08 Zhongqi Xu , Cunlai Pu , Rajput Ramiz Sharafat , Lunbo Li , Jian Yang

Prediction deviations of different uncertainties have varying impacts on downstream decision-making. Improving the prediction accuracy of critical uncertainties with significant impacts on decision-making quality yields better optimization…

Systems and Control · Electrical Eng. & Systems 2025-10-17 Yingrui Zhuang , Lin Cheng , Can Wan , Rui Xie , Ning Qi , Yue Chen

Prediction-powered inference (PPI) is a recent framework for valid statistical inference with partially labeled data, combining model-based predictions on a large unlabeled set with bias correction from a smaller labeled subset. Building on…

Machine Learning · Statistics 2026-03-25 Jyotishka Datta , Nicholas G. Polson

We introduce a framework for network analysis based on random walks on directed acyclic graphs where the probability of passing through a given node is the key ingredient. We illustrate its use in evaluating the mutual influence of nodes…

Physics and Society · Physics 2011-10-10 Stanislao Gualdi , Matus Medo , Yi-Cheng Zhang

We consider the goal of predicting how complex networks respond to chronic (press) perturbations when characterizations of their network topology and interaction strengths are associated with uncertainty. Our primary result is the…

Populations and Evolution · Quantitative Biology 2016-10-26 David Koslicki , Mark Novak

A quantum trajectory describes the evolution of a quantum system undergoing indirect measurement. In the discrete-time setting, the state of the system is updated by applying Kraus operators according to the measurement results. From an…

Quantum Physics · Physics 2022-04-04 Maël Bompais , Nina H. Amini , Clément Pellegrini

Dynamical modelling lies at the heart of our understanding of physical systems. Its role in science is deeper than mere operational forecasting, in that it allows us to evaluate the adequacy of the mathematical structure of our models.…

Data Analysis, Statistics and Probability · Physics 2015-06-05 Hailiang Du , Leonard A. Smith