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This research introduces a novel mathematical framework using Fourier transforms of set functions and semidefinite relaxation to formally define and detect echo chambers in social networks. By distinguishing this problem from standard community detection or graph cut problems, the authors demonstrate superior performance in recovering ground truth structures on both synthetic data and large real-world datasets. The study provides a rigorous algorithmic approach for identifying polarized groups based on agreement patterns rather than simple connectivity metrics.
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Revisiting the Objective of Echo Chamber Detection

arXiv2 min read

arXiv:2609.18545v1 Announce Type: new Abstract: In this paper, we study the detection of an echo chamber in a social network, i.e., the identification of a set of nodes that agree on a topic, while disagreeing with the rest of nodes. We argue that this problem is different from other social network analysis problems such as community detection, and from other graph problems such as maximum graph cut and maximum clique. To the best of our knowledge, we are the first to formalize the objective function of echo chamber detection, by using the theory of Fourier transforms of set functions (Stobbe and Krause, 2012). We propose scalable semidefinite relaxation, solved via an interior point method and sparse linear algebra. Experimentally, our algorithm recovers the ground truth echo chamber better than competing methods on small synthetic experiments. Our algorithm produces echo chambers with better network properties than competing methods on large real-world datasets. To independently validate our proposed objective function, we show that our algorithm finds echo chambers with more agreements with suspended users than competing methods on a small real-world dataset.

Abstract:In this paper, we study the detection of an echo chamber in a social network, i.e., the identification of a set of nodes that agree on a topic, while disagreeing with the rest of nodes. We argue that this problem is different from other social network analysis problems such as community detection, and from other graph problems such as maximum graph cut and maximum clique. To the best of our knowledge, we are the first to formalize the objective function of echo chamber detection, by using the theory of Fourier transforms of set functions (Stobbe and Krause, 2012). We propose scalable semidefinite relaxation, solved via an interior point method and sparse linear algebra. Experimentally, our algorithm recovers the ground truth echo chamber better than competing methods on small synthetic experiments. Our algorithm produces echo chambers with better network properties than competing methods on large real-world datasets. To independently validate our proposed objective function, we show that our algorithm finds echo chambers with more agreements with suspended users than competing methods on a small real-world dataset.

Machine Learning (cs.LG)

arXiv:2609.18545 [cs.LG]

(or arXiv:2609.18545v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2609.18545 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 269 words

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