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We consider a dynamic model for competition in a social network, where two strategic agents have fixed beliefs and the non-strategic/regular agents adjust their states according to a distributed consensus protocol. We suppose that one…

Social and Information Networks · Computer Science 2021-05-06 M. Bini , P. Frasca , C. Ravazzi , F. Dabbene

We introduce the \emph{pipeline intervention} problem, defined by a layered directed acyclic graph and a set of stochastic matrices governing transitions between successive layers. The graph is a stylized model for how people from different…

Computer Science and Game Theory · Computer Science 2020-09-01 Eshwar Ram Arunachaleswaran , Sampath Kannan , Aaron Roth , Juba Ziani

Network graphs have become a popular tool to represent complex systems composed of many interacting subunits; especially in neuroscience, network graphs are increasingly used to represent and analyze functional interactions between neural…

Information Theory · Computer Science 2015-11-24 Patricia Wollstadt , Ulrich Meyer , Michael Wibral

Graph inference plays an essential role in machine learning, pattern recognition, and classification. Signal processing based approaches in literature generally assume some variational property of the observed data on the graph. We make a…

Information Theory · Computer Science 2020-08-24 B. Subbareddy , Aditya Siripuram , Jingxin Zhang

A serious challenge when finding influential actors in real-world social networks is the lack of knowledge about the structure of the underlying network. Current state-of-the-art methods rely on hand-crafted sampling algorithms; these…

Social and Information Networks · Computer Science 2020-02-21 Harshavardhan Kamarthi , Priyesh Vijayan , Bryan Wilder , Balaraman Ravindran , Milind Tambe

This paper presents a novel application of graph neural networks for modeling and estimating network heterogeneity. Network heterogeneity is characterized by variations in unit's decisions or outcomes that depend not only on its own…

Econometrics · Economics 2024-01-30 Yike Wang , Chris Gu , Taisuke Otsu

We study the problem of learning the causal relationships between a set of observed variables in the presence of latents, while minimizing the cost of interventions on the observed variables. We assume access to an undirected graph $G$ on…

Data Structures and Algorithms · Computer Science 2020-12-29 Raghavendra Addanki , Andrew McGregor , Cameron Musco

Many phenomena in real world social networks are interpreted as spread of influence between activated and non-activated network elements. These phenomena are formulated by combinatorial graphs, where vertices represent the elements and…

Discrete Mathematics · Computer Science 2024-03-01 Siavash Askari , Manouchehr Zaker

In this paper, we consider the problem of maximizing the spread of influence through a social network. Given a graph with a threshold value~$thr(v)$ attached to each vertex~$v$, the spread of influence is modeled as follows: A vertex~$v$…

Data Structures and Algorithms · Computer Science 2014-08-19 Cristina Bazgan , Morgan Chopin , André Nichterlein , Florian Sikora

In this paper we propose a distributed algorithm for the estimation and control of the connectivity of ad-hoc networks in the presence of a random topology. First, given a generic random graph, we introduce a novel stochastic power…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-17 Paolo Di Lorenzo , Sergio Barbarossa

The network interference model for causal inference places all experimental units at the vertices of an undirected exposure graph, such that treatment assigned to one unit may affect the outcome of another unit if and only if these two…

Statistics Theory · Mathematics 2022-03-18 Shuangning Li , Stefan Wager

We address the problem of identifying a graph structure from the observation of signals defined on its nodes. Fundamentally, the unknown graph encodes direct relationships between signal elements, which we aim to recover from observable…

Social and Information Networks · Computer Science 2016-08-11 Santiago Segarra , Antonio G. Marques , Gonzalo Mateos , Alejandro Ribeiro

In an era of unprecedented deluge of (mostly unstructured) data, graphs are proving more and more useful, across the sciences, as a flexible abstraction to capture complex relationships between complex objects. One of the main challenges…

Disordered Systems and Neural Networks · Physics 2016-10-17 Alaa Saade

We study games in which a network mediates strategic spillovers and externalities among the players. How does a planner optimally target interventions that change individuals' private returns to investment? We analyze this question by…

Computer Science and Game Theory · Computer Science 2020-01-28 Andrea Galeotti , Benjamin Golub , Sanjeev Goyal

In many applied fields, researchers are often interested in tailoring treatments to unit-level characteristics in order to optimize an outcome of interest. Methods for identifying and estimating treatment policies are the subject of the…

Methodology · Statistics 2020-04-06 Eli Sherman , David Arbour , Ilya Shpitser

Networks are often studied using the eigenvalues of their adjacency matrix, a powerful mathematical tool with a wide range of applications. Since in real systems the exact graph structure is not known, researchers resort to random graphs to…

Spectral Theory · Mathematics 2020-01-30 Pau Vilimelis Aceituno

Graphs are used in many disciplines to model the relationships that exist between objects in a complex discrete system. Researchers may wish to compare a network of interest to a "typical" graph from a family (or ensemble) of graphs which…

Combinatorics · Mathematics 2025-08-08 Catherine Greenhill

Statistical inference of directed relations given some unspecified interventions (i.e., the intervention targets are unknown) is challenging. In this article, we test hypothesized directed relations with unspecified interventions. First, we…

Methodology · Statistics 2023-03-02 Chunlin Li , Xiaotong Shen , Wei Pan

We conjecture that the worst case number of experiments necessary and sufficient to discover a causal graph uniquely given its observational Markov equivalence class can be specified as a function of the largest clique in the Markov…

Artificial Intelligence · Computer Science 2012-06-18 Frederick Eberhardt

Moving an autonomous agent through an unknown environment is one of the crucial problems for robotics and network analysis. Therefore, it received a lot of attention in the last decades and was analyzed in many different settings. The graph…

Computational Complexity · Computer Science 2018-04-23 Hans-Joachim Böckenhauer , Janosch Fuchs , Walter Unger
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