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Real-world network datasets are typically obtained in ways that fail to capture all edges. The patterns of missing data are often non-uniform as they reflect biases and other shortcomings of different data collection methods. Nevertheless,…

Dynamical Systems · Mathematics 2025-04-25 Xie He , Amir Ghasemian , Eun Lee , Alice Schwarze , Aaron Clauset , Peter J. Mucha

Many systems of scientific interest can be conceptualized as multipartite networks. Examples include the spread of sexually transmitted infections, scientific collaborations, human friendships, product recommendation systems, and metabolic…

Physics and Society · Physics 2021-03-02 Hyojun A. Lee , Luiz G. A. Alves , Luís A. Nunes Amaral

The problem of distributed or decentralized detection and estimation in applications such as wireless sensor networks has often been considered in the framework of parametric models, in which strong assumptions are made about a statistical…

Information Theory · Computer Science 2015-06-25 Joel B. Predd , Sanjeev R. Kulkarni , H. Vincent Poor

We introduce the diffusion and superposition distances as two metrics to compare signals supported in the nodes of a network. Both metrics consider the given vectors as initial temperature distributions and diffuse heat trough the edges of…

Social and Information Networks · Computer Science 2014-12-01 Santiago Segarra , Weiyu Huang , Alejandro Ribeiro

The problem of mapping human close-range proximity networks has been tackled using a variety of technical approaches. Wearable electronic devices, in particular, have proven to be particularly successful in a variety of settings relevant…

We develop a model for contagion in reinsurance networks by which primary insurers' losses are spread through the network. Our model handles general reinsurance contracts, such as typical excess of loss contracts. We show that simpler…

Risk Management · Quantitative Finance 2020-03-25 Ariah Klages-Mundt , Andreea Minca

Network sampling is used around the world for surveys of vulnerable, hard-to-reach populations including people at risk for HIV, opioid misuse, and emerging epidemics. The sampling methods include tracing social links to add new people to…

Methodology · Statistics 2020-02-05 Steve Thompson

This article presents the formulation and steady-state analysis of the distributed estimation algorithms based on the diffusion cooperation scheme in the presence of errors due to the unreliable data transfer among nodes. In particular, we…

Systems and Control · Computer Science 2013-10-29 Saeed Ghazanfari-Rad , Fabrice Labeau

The ways in which an innovation (e.g., new behaviour, idea, technology, product) diffuses among people can determine its success or failure. In this paper, we address the problem of diffusion of innovations over multiplex social networks…

Social and Information Networks · Computer Science 2014-08-26 Rasoul Ramezanian , Mostafa Salehi , Matteo Magnani , Danilo Montesi

According to standard econometric theory, Maximum Likelihood estimation (MLE) is the efficient estimation choice, however, it is not always a feasible one. In network diffusion models with unobserved signal propagation, MLE requires…

Econometrics · Economics 2023-09-06 L. S. Sanna Stephan

Much research has been done on studying the diffusion of ideas or technologies on social networks including the \textit{Influence Maximization} problem and many of its variations. Here, we investigate a type of inverse problem. Given a…

Social and Information Networks · Computer Science 2014-04-28 Georgios Askalidis , Randall A. Berry , Vijay G. Subramanian

Diffusion over a network refers to the phenomenon of a change of state of a cross-sectional unit in one period leading to a change of state of its neighbors in the network in the next period. One may estimate or test for diffusion by…

Methodology · Statistics 2022-05-17 Kyungchul Song

Stochastic spreading models defined on complex network topologies are used to mimic the diffusion of diseases, information, and opinions in real-world systems. Existing theoretical approaches to the characterization of the models in terms…

Physics and Society · Physics 2021-01-15 Dario Mazzilli , Filippo Radicchi

While the traditional viewpoint in machine learning and statistics assumes training and testing samples come from the same population, practice belies this fiction. One strategy -- coming from robust statistics and optimization -- is thus…

Machine Learning · Statistics 2024-07-08 Maxime Cauchois , Suyash Gupta , Alnur Ali , John C. Duchi

A key objective of the smart grid is to improve reliability of utility services to end users. This requires strengthening resilience of distribution networks that lie at the edge of the grid. However, distribution networks are exposed to…

Systems and Control · Computer Science 2016-11-18 Yun Wei , Chuanyi Ji , Floyd Galvan , Stephen Couvillon , George Orellana , James Momoh

In recent times, the functioning of various aspects of modern society---ranging from the various infrastructural utilities such as electrical power, water to socio-economical aspects such as telecommunications, business, commerce,…

Networking and Internet Architecture · Computer Science 2016-12-30 Waqar Ahmed , Osman Hasan , Usman Pervez , Junaid Qadir

Mobility causes network structures to change. In PSNs where underlying network structure is changing rapidly, we are interested in studying how information dissemination can be enhanced in a sparse disconnected network where nodes lack the…

Networking and Internet Architecture · Computer Science 2012-10-22 Rachit Agarwal , Vincent Gauthier , Monique Becker

Score-based diffusion models have demonstrated remarkable empirical success in learning high-dimensional distributions, particularly those exhibiting low-dimensional and multi-modal structures. However, theoretical understanding of their…

Machine Learning · Statistics 2026-05-29 Jingda Wu , Changxiao Cai

Diffusion models trained on different, non-overlapping subsets of a dataset often produce strikingly similar outputs when given the same noise seed. We trace this consistency to a simple linear effect: the shared Gaussian statistics across…

Machine Learning · Computer Science 2026-02-04 Binxu Wang , Jacob Zavatone-Veth , Cengiz Pehlevan

The rapidly increasing complexity of (mainly wireless) ad-hoc networks stresses the need of reliable distributed estimation of several variables of interest. The widely used centralized approach, in which the network nodes communicate their…

Information Theory · Computer Science 2015-03-20 K. Dedecius , V. Sečkárová
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